Pith Number

pith:QZRISNKD

pith:2018:QZRISNKDYYNJ3TSEYZ5LBZFF6G

not attested not anchored not stored refs pending

Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras

Ilya Shapiro, Ivan Kobyzev

arxiv:1804.02031 v2 · 2018-04-05 · math.KT · math.CT · 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{QZRISNKDYYNJ3TSEYZ5LBZFF6G}

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	2026-05-18T00:05:50.848330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8662893543c61a9dce44c67ab0e4a5f1aa3f18a3ade7da452b28e0f85606d2ee

Aliases

arxiv: 1804.02031 · arxiv_version: 1804.02031v2 · doi: 10.48550/arxiv.1804.02031 · pith_short_12: QZRISNKDYYNJ · pith_short_16: QZRISNKDYYNJ3TSE · pith_short_8: QZRISNKD

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/QZRISNKDYYNJ3TSEYZ5LBZFF6G \
  | 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: 8662893543c61a9dce44c67ab0e4a5f1aa3f18a3ade7da452b28e0f85606d2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914cb60b974721f27e2be0512e6546a197f1a21dfcc0503df8df493b5ffa0173",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-04-05T19:27:22Z",
    "title_canon_sha256": "150262e68ab389a5040abbc7c33c8d466ff0200529ba5edff794f6b34e8b745f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02031",
    "kind": "arxiv",
    "version": 2
  }
}