Pith Number

pith:ZE5XJVCR

pith:2015:ZE5XJVCREXSDBEUZA3JVPXO2JJ

not attested not anchored not stored refs pending

Admissible colourings of 3-manifold triangulations for Turaev-Viro type invariants

Cl\'ement Maria, Jonathan Spreer

arxiv:1512.04648 v1 · 2015-12-15 · cs.CG · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZE5XJVCREXSDBEUZA3JVPXO2JJ}

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	2026-05-18T00:02:36.830523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93b74d45125e430929906d357ddda4a6c339a3bf86bfefa9d06fdc4d2c6163d

Aliases

arxiv: 1512.04648 · arxiv_version: 1512.04648v1 · doi: 10.48550/arxiv.1512.04648 · pith_short_12: ZE5XJVCREXSD · pith_short_16: ZE5XJVCREXSDBEUZ · pith_short_8: ZE5XJVCR

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/ZE5XJVCREXSDBEUZA3JVPXO2JJ \
  | 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: c93b74d45125e430929906d357ddda4a6c339a3bf86bfefa9d06fdc4d2c6163d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b9150bf43acd626915373e2fba44015a7e71552c78f0d315e6f2a4cbb301a4a",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-12-15T04:44:44Z",
    "title_canon_sha256": "21bd3b7c60515ab120b7f6f66fa6d9398bc2a7c2aad6d03a4bfc769bac83fca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04648",
    "kind": "arxiv",
    "version": 1
  }
}