Pith Number

pith:FF5NYERE

pith:2004:FF5NYERE2N6V4TSEDGMMVLQEEZ

not attested not anchored not stored refs pending

The A-infinity operad and the moduli space of curves

Kevin Costello

arxiv:math/0402015 v2 · 2004-02-02 · 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{FF5NYERE2N6V4TSEDGMMVLQEEZ}

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	2026-07-04T14:38:12.292879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297adc1224d37d5e4e441998caae042667addf05a106c02d948c820fe2e52217

Aliases

arxiv: math/0402015 · arxiv_version: math/0402015v2 · doi: 10.48550/arxiv.math/0402015 · pith_short_12: FF5NYERE2N6V · pith_short_16: FF5NYERE2N6V4TSE · pith_short_8: FF5NYERE

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/FF5NYERE2N6V4TSEDGMMVLQEEZ \
  | 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: 297adc1224d37d5e4e441998caae042667addf05a106c02d948c820fe2e52217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "497d3e01a28ca4720f2736c9a3174279a855ac92714c63ce909977dce63c21db",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-02-02T13:08:41Z",
    "title_canon_sha256": "ad0ae1200fb7d8125d29bdcec1740867a0b5d88aae0ddfca669cd3272b6b377a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402015",
    "kind": "arxiv",
    "version": 2
  }
}