Pith Number

pith:5Y3HKGC6

pith:2013:5Y3HKGC6NJOZ4DVLW676ZNYWCO

not attested not anchored not stored refs pending

Jacobi trace functions in the theory of vertex operator algebras

Geoffrey Mason, Matthew Krauel

arxiv:1309.5720 v3 · 2013-09-23 · math.QA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y3HKGC6NJOZ4DVLW676ZNYWCO}

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	2026-05-18T01:34:45.781226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3675185e6a5d9e0eabb7bfecb71613a60ad157fee12deb9775f39d38534b02

Aliases

arxiv: 1309.5720 · arxiv_version: 1309.5720v3 · doi: 10.48550/arxiv.1309.5720 · pith_short_12: 5Y3HKGC6NJOZ · pith_short_16: 5Y3HKGC6NJOZ4DVL · pith_short_8: 5Y3HKGC6

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/5Y3HKGC6NJOZ4DVLW676ZNYWCO \
  | 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: ee3675185e6a5d9e0eabb7bfecb71613a60ad157fee12deb9775f39d38534b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e017aab74cedb6fa40985332beceab6d4dc2cf732c3b9f44790fe1c6b23616",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-09-23T07:57:20Z",
    "title_canon_sha256": "c5e36f86ef565a2f1c4b5b5baecad56b2b92390d797b00a2fe98792c4830c203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5720",
    "kind": "arxiv",
    "version": 3
  }
}