Pith Number

pith:23M4H7TB

pith:2014:23M4H7TB3WXWD45Z5QACNQWSMD

not attested not anchored not stored refs pending

$\phi_\epsilon$-coordinated modules for vertex algebras

Chengming Bai, Haisheng Li, Yufeng Pei

arxiv:1401.3981 v1 · 2014-01-16 · 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{23M4H7TB3WXWD45Z5QACNQWSMD}

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	2026-05-18T03:01:57.528748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d9c3fe61ddaf61f3b9ec0026c2d260f26372428e6a9269c1cb5d12ab6fdd55

Aliases

arxiv: 1401.3981 · arxiv_version: 1401.3981v1 · doi: 10.48550/arxiv.1401.3981 · pith_short_12: 23M4H7TB3WXW · pith_short_16: 23M4H7TB3WXWD45Z · pith_short_8: 23M4H7TB

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/23M4H7TB3WXWD45Z5QACNQWSMD \
  | 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: d6d9c3fe61ddaf61f3b9ec0026c2d260f26372428e6a9269c1cb5d12ab6fdd55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ea727bb5c8cc659ac92d42c72531d25deacab6b9d107c8bf39674779de9c82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-01-16T10:43:41Z",
    "title_canon_sha256": "ee6e7ed4f5f0a85818e8f685d49ff02d81ee903263395da31f7251b4995edf81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3981",
    "kind": "arxiv",
    "version": 1
  }
}