Pith Number

pith:JBQU6IXX

pith:1991:JBQU6IXX2EGGOGPF4PQBBLOP67

not attested not anchored not stored refs pending

Combinatorics of the Modular Group II: the Kontsevich integrals

C. Itzykson, J.-B. Zuber

arxiv:hep-th/9201001 v1 · 1991-12-31 · 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{JBQU6IXX2EGGOGPF4PQBBLOP67}

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.

Cited by

1 paper in Pith

All the D-Branes of Resurgence

Receipt and verification

First computed	2026-05-18T01:06:05.216388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48614f22f7d10c6719e5e3e010adcff7f43bfe04b2cc57844724f0f28d4cd394

Aliases

arxiv: hep-th/9201001 · arxiv_version: hep-th/9201001v1 · doi: 10.48550/arxiv.hep-th/9201001 · pith_short_12: JBQU6IXX2EGG · pith_short_16: JBQU6IXX2EGGOGPF · pith_short_8: JBQU6IXX

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/JBQU6IXX2EGGOGPF4PQBBLOP67 \
  | 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: 48614f22f7d10c6719e5e3e010adcff7f43bfe04b2cc57844724f0f28d4cd394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7cc4ee67f5638dae9ac55cb5597c90ad17172288f64603e45df20431740702",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-12-31T22:54:17Z",
    "title_canon_sha256": "27cad10e15ab779a0d9abe9ef2e3b755b0df3f476f0b2701c5808b10fbb96b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9201001",
    "kind": "arxiv",
    "version": 1
  }
}