Pith Number

pith:D3BCQI7I

pith:2015:D3BCQI7ICNCFLRE5N3AMTVIQ62

not attested not anchored not stored refs pending

Heisenberg VOAs over Fields of Prime Characteristic and Their Representations

Haisheng Li, Qiang Mu

arxiv:1501.04314 v1 · 2015-01-18 · 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{D3BCQI7ICNCFLRE5N3AMTVIQ62}

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	2026-05-18T02:29:09.378840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec22823e8134455c49d6ec0c9d510f685caaba2fefb48cd1fc38d9430bcc036

Aliases

arxiv: 1501.04314 · arxiv_version: 1501.04314v1 · doi: 10.48550/arxiv.1501.04314 · pith_short_12: D3BCQI7ICNCF · pith_short_16: D3BCQI7ICNCFLRE5 · pith_short_8: D3BCQI7I

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/D3BCQI7ICNCFLRE5N3AMTVIQ62 \
  | 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: 1ec22823e8134455c49d6ec0c9d510f685caaba2fefb48cd1fc38d9430bcc036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a9c7e8fb06c343554136258725f95b825f279de9dc3e54ec749d531f2e56af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-01-18T15:19:05Z",
    "title_canon_sha256": "76299614a65c75bbe82dd28e31fb32a6ad4ec79bda9cc730fcdb83e5efd64703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04314",
    "kind": "arxiv",
    "version": 1
  }
}