Pith Number

pith:WZZUDJ5Q

pith:2012:WZZUDJ5QZWLHOMGPUTJY3RAB5D

not attested not anchored not stored refs pending

Duality for Generalised Differentials on Quantum Groups and Hopf quivers

Shahn Majid, Wenqing Tao

arxiv:1207.7001 v3 · 2012-07-30 · 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{WZZUDJ5QZWLHOMGPUTJY3RAB5D}

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	2026-05-18T03:26:00.338129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67341a7b0cd967730cfa4d38dc401e8c8e25f1f7f02062c3556590aae10c0ed

Aliases

arxiv: 1207.7001 · arxiv_version: 1207.7001v3 · doi: 10.48550/arxiv.1207.7001 · pith_short_12: WZZUDJ5QZWLH · pith_short_16: WZZUDJ5QZWLHOMGP · pith_short_8: WZZUDJ5Q

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/WZZUDJ5QZWLHOMGPUTJY3RAB5D \
  | 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: b67341a7b0cd967730cfa4d38dc401e8c8e25f1f7f02062c3556590aae10c0ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb6e2bae460c31e9f48ceda2c6a4cc52923e430929671ba7fdac564a94dc161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-30T17:24:46Z",
    "title_canon_sha256": "89873cb509acfccc4e9965da9f1d3f4d6299eb40f891d9f75f2ba92de0d8a1e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7001",
    "kind": "arxiv",
    "version": 3
  }
}