Pith Number

pith:WFHD4OCD

pith:2013:WFHD4OCDS2EO4VIMMPCVJX43GC

not attested not anchored not stored refs pending

On quasi modules at infinity for vertex algebras

Haisheng Li, Qiang Mu

arxiv:1301.7603 v1 · 2013-01-31 · 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{WFHD4OCDS2EO4VIMMPCVJX43GC}

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	2026-05-18T03:34:49.132693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14e3e38439688ee550c63c554df9b30ab139dbd566486a442dc51a70babcbb0

Aliases

arxiv: 1301.7603 · arxiv_version: 1301.7603v1 · doi: 10.48550/arxiv.1301.7603 · pith_short_12: WFHD4OCDS2EO · pith_short_16: WFHD4OCDS2EO4VIM · pith_short_8: WFHD4OCD

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/WFHD4OCDS2EO4VIMMPCVJX43GC \
  | 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: b14e3e38439688ee550c63c554df9b30ab139dbd566486a442dc51a70babcbb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1adf2ae761f0439a788211a80902437073a3ff6378a782e4d66a2d29db37225",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-01-31T13:02:38Z",
    "title_canon_sha256": "48903d4b0048d5fb112a81c9409e67e45c61d1576ce7a7c472e7f87a3819ac28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7603",
    "kind": "arxiv",
    "version": 1
  }
}