Pith Number

pith:Q6YFWJXM

pith:2000:Q6YFWJXMT76QDIVUYYKZO45N7N

not attested not anchored not stored refs pending

Finite Quantum Groupoids and Their Applications

Dmitri Nikshych, Leonid Vainerman

arxiv:math/0006057 v2 · 2000-06-07 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6YFWJXMT76QDIVUYYKZO45N7N}

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.

Cited by

1 paper in Pith

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

Receipt and verification

First computed	2026-07-04T14:34:33.003225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b05b26ec9ffd01a2b4c6159773adfb436c5cde4697ba7ec4173f5b30abe70f

Aliases

arxiv: math/0006057 · arxiv_version: math/0006057v2 · doi: 10.48550/arxiv.math/0006057 · pith_short_12: Q6YFWJXMT76Q · pith_short_16: Q6YFWJXMT76QDIVU · pith_short_8: Q6YFWJXM

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/Q6YFWJXMT76QDIVUYYKZO45N7N \
  | 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: 87b05b26ec9ffd01a2b4c6159773adfb436c5cde4697ba7ec4173f5b30abe70f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb26b16a93413198197f090b36565b5de016289ea14600201004b4f5daf0c9d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-06-07T18:51:43Z",
    "title_canon_sha256": "672fc2c26843d7064f68133e16ae65118a0a3ef8b23ce8964ea17bdce1841f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006057",
    "kind": "arxiv",
    "version": 2
  }
}