Liddell-Scott-Jones

πυθμήν (puthmēn) a lower branch ^G:N-M

πυθμήν, ένος, ὁ,

bottom, of a cup or jar, δειλὴ δ᾽ ἐνὶ πυθμένι φειδώ [Refs 8th c.BC+]; distinguished from πύνδαξ, [Refs 4th c.BC+]; this sense is doubtful in [Refs 8th c.BC+]; ἐν τῷ π. ἐπιγραφὴν ἔχουσα [Refs 3rd c.BC+]

__2 generally, base, foundation, χθόνα ἐκ πυθμένων κραδαίνειν [Refs 4th c.BC+]; π. γαίης, πέτρης, [Refs 5th c.AD+]; foot of a mountain, [Refs 4th c.BC+]
__3 of the sea, bottom, depth, π. θαλάσσης, πόντου, λίμνης, [Refs 8th c.BC+]; also Ταρτάρου, abyss, [Refs 5th c.BC+]
__4 support under a cup's handle, δύω δ᾽ ὑπὸ πυθμένες ἦσαν [Refs 8th c.BC+]; legs of a tripod, [Refs]
__5 plural, sockets, ἐκ πυθμένων ἔκλινε κλῇθρα [Refs 5th c.BC+]
__6 in Anatomy, fundus of univalves, [Refs 4th c.BC+]; lower parts of the testes, [Refs 2nd c.AD+] (but, upper part of the uterus, [Refs 2nd c.AD+]; also γενειάδος π. [Refs 4th c.BC+]; distal end of a quince, [Refs 6th c.AD+]
__7 metaphorically, Δίκας ἐρείδεται π. the base of Justice is firmly set, [Refs 4th c.BC+]; πυθμένες λόγων fundamental principles, [Refs 5th c.BC+]
__II stock, root of a tree, παρὰ πυθμέν᾽ ἐλαίης [Refs 8th c.BC+]; π. δρυός[Refs 1st c.AD+], compare 3.126; σεύτλου πυθμένες beet-roots, [Refs 1st c.BC+]; ἀμπέλου [Refs 3rd c.BC+]; ἐπὶ τοῦ αὐτοῦ π. [Refs 6th c.BC+]
__II.2 stem, stalk, πυροῦ, κριθῶν, [Refs 4th c.BC+]
__II.2.b metaphorically, stem, stock of a family, [Refs 4th c.BC+]; σμικροῦ γένοιτ᾽ ἂν σπέρματος μέγας π., i.e. great things might come from small, [Refs 5th c.BC+]; π. δικῶν, of a litigious person, [Refs]
__III in Arithmetic, base of a series, i.e. lowest number possessing a given property, π. ὁ δέκα (of the numbers such that the previous integers contain an equal number of primes and non-primes) [Refs 4th c.BC+]; ἐπίτριτος π. the first couple of numbers giving the ratio 4:3, [Refs 5th c.BC+] [same places]; ῡ by position in Epic dialect, etc.] (Cf. Sanskrit budhnás 'bottom, base', Latin fundus, O[Refs 5th c.BC+] botm.)