Pith Number

pith:QQCJ6TEB

pith:2005:QQCJ6TEBST5RDDNIG6373XL4RF

not attested not anchored not stored refs pending

Hopf diagrams and quantum invariants

Alain Bruguieres, Alexis Virelizier

arxiv:math/0505119 v3 · 2005-05-06 · math.QA · 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{QQCJ6TEBST5RDDNIG6373XL4RF}

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	2026-05-18T02:41:32.048350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84049f4c8194fb118da837b7fddd7c8972ab8e88f8a808bd26a5c54454fbf6ff

Aliases

arxiv: math/0505119 · arxiv_version: math/0505119v3 · doi: 10.48550/arxiv.math/0505119 · pith_short_12: QQCJ6TEBST5R · pith_short_16: QQCJ6TEBST5RDDNI · pith_short_8: QQCJ6TEB

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/QQCJ6TEBST5RDDNIG6373XL4RF \
  | 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: 84049f4c8194fb118da837b7fddd7c8972ab8e88f8a808bd26a5c54454fbf6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5294cad4fdc1e0d9645a3f44b046353913524324d4079535b13806de6edc5aec",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-05-06T21:37:58Z",
    "title_canon_sha256": "ad70b6b6132d113e0efadc87a6179db881657d2074fce78d06d1d93ec3451965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505119",
    "kind": "arxiv",
    "version": 3
  }
}