Pith Number

pith:N5VCIMV5

pith:2024:N5VCIMV5I7SJ36ERI227PPDDOU

not attested not anchored not stored refs pending

Realizing modular data from centers of near-group categories

Qing Zhang, Zhiqiang Yu

arxiv:2412.20763 v2 · 2024-12-30 · 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{N5VCIMV5I7SJ36ERI227PPDDOU}

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	2026-07-05T10:40:37.753129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f6a2432bd47e49df89146b5f7bc637533fbca0bbc6894cb2ae30f3933545bca

Aliases

arxiv: 2412.20763 · arxiv_version: 2412.20763v2 · doi: 10.48550/arxiv.2412.20763 · pith_short_12: N5VCIMV5I7SJ · pith_short_16: N5VCIMV5I7SJ36ER · pith_short_8: N5VCIMV5

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/N5VCIMV5I7SJ36ERI227PPDDOU \
  | 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: 6f6a2432bd47e49df89146b5f7bc637533fbca0bbc6894cb2ae30f3933545bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4902fc68c7e47d0142e48b047fe3dab666beaf5a6e2484ac3c17ca2c3001b362",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-12-30T07:17:59Z",
    "title_canon_sha256": "0552504213c615380a7fce58d1d53634dde4d78e50fc4cf2b435eed0e1f27cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20763",
    "kind": "arxiv",
    "version": 2
  }
}