Pith Number

pith:TN7ZK6YQ

pith:1996:TN7ZK6YQLBGUCCILXZK56RMKRA

not attested not anchored not stored refs pending

The hyperbolic volume of knots from quantum dilogarithm

R.M. Kashaev

arxiv:q-alg/9601025 v2 · 1996-01-23 · q-alg · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TN7ZK6YQLBGUCCILXZK56RMKRA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

More on Kashaev limits of the quantum $A$-polynomials

Two roles of Alexander in two Kashaev phases

Generalized Minkowski Theorem for Tetrahedra in ${\rm dS}^3$ and ${\rm AdS}^3$

Receipt and verification

First computed	2026-07-04T15:08:18.178270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7f957b10584d41090bbe55df458a88239f14eb97144f93f0fca0012da2cfb7

Aliases

arxiv: q-alg/9601025 · arxiv_version: q-alg/9601025v2 · doi: 10.48550/arxiv.q-alg/9601025 · pith_short_12: TN7ZK6YQLBGU · pith_short_16: TN7ZK6YQLBGUCCIL · pith_short_8: TN7ZK6YQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TN7ZK6YQLBGUCCILXZK56RMKRA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9b7f957b10584d41090bbe55df458a88239f14eb97144f93f0fca0012da2cfb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3964d043bd01ac843237e1508cd946584e25e34b098f4f2f8468a9774d6abe",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-01-23T18:52:59Z",
    "title_canon_sha256": "0b6d6c2f28f606ef5ef873339021d4c045c6e32574228bc481d9232a15e425af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9601025",
    "kind": "arxiv",
    "version": 2
  }
}