Pith Number

pith:DS4IRAO4

pith:2015:DS4IRAO4LMVJYWSUC6VGFB6BSJ

not attested not anchored not stored refs pending

Integral almost square-free modular categories

Jingcheng Dong, Libin Li, Li Dai

arxiv:1512.02012 v2 · 2015-12-07 · 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{DS4IRAO4LMVJYWSUC6VGFB6BSJ}

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	2026-05-18T01:14:17.570280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb88881dc5b2a9c5a5417aa6287c19262e23174c4de24d12bcc16480280b008

Aliases

arxiv: 1512.02012 · arxiv_version: 1512.02012v2 · doi: 10.48550/arxiv.1512.02012 · pith_short_12: DS4IRAO4LMVJ · pith_short_16: DS4IRAO4LMVJYWSU · pith_short_8: DS4IRAO4

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/DS4IRAO4LMVJYWSUC6VGFB6BSJ \
  | 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: 1cb88881dc5b2a9c5a5417aa6287c19262e23174c4de24d12bcc16480280b008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe65e15f2bf8ffca1dcbde476dc3b0628c5a7897a61f72821d1d96f1d8b8dc1",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-12-07T12:31:19Z",
    "title_canon_sha256": "54432630166aced16098556d8bd2b89b61e595f799734da2db6a7b446cee06d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02012",
    "kind": "arxiv",
    "version": 2
  }
}