Pith Number

pith:TFNKFRWL

pith:2002:TFNKFRWL75V4LLRTAILE2EVHKY

not attested not anchored not stored refs pending

Gromov-Witten theory, Hurwitz theory, and completed cycles

Andrei Okounkov, Rahul Pandharipande

arxiv:math/0204305 v1 · 2002-04-24 · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFNKFRWL75V4LLRTAILE2EVHKY}

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

Equivariant Interpolations in Topological Holography

Receipt and verification

First computed	2026-07-04T14:36:09.880964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995aa2c6cbff6bc5ae3302164d12a75610d547f29bb1b9eb8d9ea242ba2f9200

Aliases

arxiv: math/0204305 · arxiv_version: math/0204305v1 · doi: 10.48550/arxiv.math/0204305 · pith_short_12: TFNKFRWL75V4 · pith_short_16: TFNKFRWL75V4LLRT · pith_short_8: TFNKFRWL

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/TFNKFRWL75V4LLRTAILE2EVHKY \
  | 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: 995aa2c6cbff6bc5ae3302164d12a75610d547f29bb1b9eb8d9ea242ba2f9200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03bec7960c9dd56f193732823716c96eb235213c52f90016e45420d2311d3c3f",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-04-24T20:40:56Z",
    "title_canon_sha256": "3b8f4b10eaaf4f27710158dc53430454d5f0244868d8ce10021e76364dd0b369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204305",
    "kind": "arxiv",
    "version": 1
  }
}