Pith Number

pith:H5YFPYGB

pith:2004:H5YFPYGBQCOSOPG55OWRCGCEJP

not attested not anchored not stored refs pending

Observables in the Turaev-Viro and Crane-Yetter models

J. Manuel Garcia-Islas, Joao Faria Martins, John W. Barrett

arxiv:math/0411281 v2 · 2004-11-12 · math.QA · gr-qc · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5YFPYGBQCOSOPG55OWRCGCEJP}

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

1 paper in Pith

The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity

Receipt and verification

First computed	2026-07-04T15:26:51.202415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7057e0c1809d273cddebad1118444bc1dce47d9e721e539057b8826f6fe675

Aliases

arxiv: math/0411281 · arxiv_version: math/0411281v2 · doi: 10.48550/arxiv.math/0411281 · pith_short_12: H5YFPYGBQCOS · pith_short_16: H5YFPYGBQCOSOPG5 · pith_short_8: H5YFPYGB

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/H5YFPYGBQCOSOPG55OWRCGCEJP \
  | 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: 3f7057e0c1809d273cddebad1118444bc1dce47d9e721e539057b8826f6fe675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5f9795596802de1f2bd2ef235f0db2593fe4751bcc1edee10f628dd3236252",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-11-12T15:25:12Z",
    "title_canon_sha256": "f8f7b038a1ba9082960bfe19b0cd9abebcba4a73aba73e846a8f282a2b568525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411281",
    "kind": "arxiv",
    "version": 2
  }
}