Pith Number

pith:IFRWXZV3

pith:2017:IFRWXZV3WP2BUX2JRBNBUPUHKA

not attested not anchored not stored refs pending

Explicit cocycle formulas on finite abelian groups with applications to braided linear Gr-categories and Dijkgraaf-Witten invariants

Hua-Lin Huang, Yu Ye, Zheyan Wan

arxiv:1703.03266 v5 · 2017-03-09 · math.AT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFRWXZV3WP2BUX2JRBNBUPUHKA}

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	2026-05-17T23:50:28.910520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41636be6bbb3f41a5f49885a1a3e8750240b0a91d12b1bbb47cdbce2315360b4

Aliases

arxiv: 1703.03266 · arxiv_version: 1703.03266v5 · doi: 10.48550/arxiv.1703.03266 · pith_short_12: IFRWXZV3WP2B · pith_short_16: IFRWXZV3WP2BUX2J · pith_short_8: IFRWXZV3

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/IFRWXZV3WP2BUX2JRBNBUPUHKA \
  | 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: 41636be6bbb3f41a5f49885a1a3e8750240b0a91d12b1bbb47cdbce2315360b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd56b64d57281702d692a5adac73cde5b7685d689bb46433877e168f8656195",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-09T14:15:56Z",
    "title_canon_sha256": "5bfd08c5b9d629640e557823aac1431c8f0e81fcd6af7a216b0d8c53f07ab6af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03266",
    "kind": "arxiv",
    "version": 5
  }
}