Pith Number

pith:VCBUBIOW

pith:1998:VCBUBIOWEK5Z4Q732NEX5VJSD5

not attested not anchored not stored refs pending

Notes on 2D Conformal Field Theory and String Theory

Dennis Gaitsgory

arxiv:math/9811061 v2 · 1998-11-09 · math.AG · 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{VCBUBIOWEK5Z4Q732NEX5VJSD5}

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

On coefficients of operator product expansions for quantum field theories with ordinary, holomorphic, and topological spacetime dimensions

Receipt and verification

First computed	2026-07-04T14:40:51.781393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a88340a1d622bb9e43fbd3497ed5321f55de0e9fa0a016b10804565d3eea53a7

Aliases

arxiv: math/9811061 · arxiv_version: math/9811061v2 · doi: 10.48550/arxiv.math/9811061 · pith_short_12: VCBUBIOWEK5Z · pith_short_16: VCBUBIOWEK5Z4Q73 · pith_short_8: VCBUBIOW

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/VCBUBIOWEK5Z4Q732NEX5VJSD5 \
  | 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: a88340a1d622bb9e43fbd3497ed5321f55de0e9fa0a016b10804565d3eea53a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87031914f80959c80e8b4b930f6529415cba2f0beb20c0ee36fda33a5e9e9d68",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-11-09T21:49:02Z",
    "title_canon_sha256": "d39366df8d5d100b519fa438f504fc3e2640f88ba5a9736d2e3ceae2498d299f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811061",
    "kind": "arxiv",
    "version": 2
  }
}