Pith Number

pith:M37IEMV5

pith:1999:M37IEMV5R5WNADT75LVVIADB7F

not attested not anchored not stored refs pending

The colored Jones polynomials and the simplicial volume of a knot

Hitoshi Murakami, Jun Murakami

arxiv:math/9905075 v2 · 1999-05-12 · math.GT · 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{M37IEMV5R5WNADT75LVVIADB7F}

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

2 papers in Pith

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

The holonomy braiding for $\mathcal{U}_\xi(\mathfrak{sl}_2)$ in terms of geometric quantum dilogarithms

Receipt and verification

First computed	2026-07-04T14:41:09.217688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66fe8232bd8f6cd00e7feaeb540061f9634e7c9cd3690763473c042ce22b1482

Aliases

arxiv: math/9905075 · arxiv_version: math/9905075v2 · doi: 10.48550/arxiv.math/9905075 · pith_short_12: M37IEMV5R5WN · pith_short_16: M37IEMV5R5WNADT7 · pith_short_8: M37IEMV5

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/M37IEMV5R5WNADT75LVVIADB7F \
  | 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: 66fe8232bd8f6cd00e7feaeb540061f9634e7c9cd3690763473c042ce22b1482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab8e25400130216e9d5bbf00cb394a1389c154355ccc9b1546969556a8ecb35",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-05-12T15:42:56Z",
    "title_canon_sha256": "2972ace67278da868cfcaedd402c64f205c1e1027f7de284b4204c12e6447885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905075",
    "kind": "arxiv",
    "version": 2
  }
}