Pith Number

pith:5OPW4HZX

pith:1997:5OPW4HZXYG733WFOSWMKP6WTVA

not attested not anchored not stored refs pending

3-Cocycles and the Operator Product Expansion

Javier P. Muniain, Jose Wudka

arxiv:hep-th/9702085 v2 · 1997-02-10 · 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{5OPW4HZXYG733WFOSWMKP6WTVA}

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	2026-05-18T02:36:02.557041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9f6e1f37c1bfbdd8ae9598a7fad3a8105a56214e77dbbacc23521d2e846b6a

Aliases

arxiv: hep-th/9702085 · arxiv_version: hep-th/9702085v2 · doi: 10.48550/arxiv.hep-th/9702085 · pith_short_12: 5OPW4HZXYG73 · pith_short_16: 5OPW4HZXYG733WFO · pith_short_8: 5OPW4HZX

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/5OPW4HZXYG733WFOSWMKP6WTVA \
  | 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: eb9f6e1f37c1bfbdd8ae9598a7fad3a8105a56214e77dbbacc23521d2e846b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91206f657f0c6068baf4657c93f4b40544d808305415f42906e83e0dd74fd5aa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-02-10T22:03:47Z",
    "title_canon_sha256": "fd2f61bf5281dd0a1edc745ecc6bee9316ee55b5c15e8c424232cd72b13f3b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9702085",
    "kind": "arxiv",
    "version": 2
  }
}