Pith Number

pith:O4LR5Z2G

pith:2017:O4LR5Z2GNKYLT6ZKTSOQ5SIKIF

not attested not anchored not stored refs pending

Turaev-Viro invariants, colored Jones polynomials and volume

Efstratia Kalfagianni, Renaud Detcherry, Tian Yang

arxiv:1701.07818 v3 · 2017-01-26 · math.GT · math-ph · math.DG · math.MP · 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{O4LR5Z2GNKYLT6ZKTSOQ5SIKIF}

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.

Receipt and verification

First computed	2026-05-18T00:11:19.033983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77171ee7466ab0b9fb2a9c9d0ec90a415a8f0f157a48cedebd689f6b3dc5c8d7

Aliases

arxiv: 1701.07818 · arxiv_version: 1701.07818v3 · doi: 10.48550/arxiv.1701.07818 · pith_short_12: O4LR5Z2GNKYL · pith_short_16: O4LR5Z2GNKYLT6ZK · pith_short_8: O4LR5Z2G

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/O4LR5Z2GNKYLT6ZKTSOQ5SIKIF \
  | 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: 77171ee7466ab0b9fb2a9c9d0ec90a415a8f0f157a48cedebd689f6b3dc5c8d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f80a586e4cf984b6b648716109963f3c144070b482b04103515b87a2fe428fde",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-01-26T18:53:00Z",
    "title_canon_sha256": "ce1c1f785d53e8117d645156a4d9109cfe75c08c0fd2085b6e454baae82a75d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07818",
    "kind": "arxiv",
    "version": 3
  }
}