Pith Number

pith:VBCBVSDJ

pith:1992:VBCBVSDJ5P4WWRXMGNHLC5Q3KU

not attested not anchored not stored refs pending

Polynomial averages in the Kontsevich model

C. Itzykson, J.-B. Zuber, P. Di Francesco

arxiv:hep-th/9206090 v1 · 1992-06-24 · hep-th · 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{VBCBVSDJ5P4WWRXMGNHLC5Q3KU}

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	2026-05-18T01:38:44.698485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8441ac869ebf96b46ec334eb1761b55046d7ec11d84a203b399a5e095dcf73f

Aliases

arxiv: hep-th/9206090 · arxiv_version: hep-th/9206090v1 · doi: 10.48550/arxiv.hep-th/9206090 · pith_short_12: VBCBVSDJ5P4W · pith_short_16: VBCBVSDJ5P4WWRXM · pith_short_8: VBCBVSDJ

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/VBCBVSDJ5P4WWRXMGNHLC5Q3KU \
  | 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: a8441ac869ebf96b46ec334eb1761b55046d7ec11d84a203b399a5e095dcf73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528edda404692795f3bc94c71da16f179f39c866076b0062f6915d026618bb3d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-06-24T11:18:03Z",
    "title_canon_sha256": "b0f622a1a01010bece278f4c217ac8a980164b85f66fb05c6d5078c5cdb1063d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9206090",
    "kind": "arxiv",
    "version": 1
  }
}