Pith Number

pith:6JSAQA4K

pith:2005:6JSAQA4KZ7ZFATZ2LH3CKCNOCH

not attested not anchored not stored refs pending

Reduced Genus-One Gromov-Witten Invariants

Aleksey Zinger

arxiv:math/0507103 v2 · 2005-07-05 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JSAQA4KZ7ZFATZ2LH3CKCNOCH}

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	2026-05-18T04:07:29.540598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f26408038acff2504f3a59f62509ae11e0e74a66cb943b3728df37d1736c3534

Aliases

arxiv: math/0507103 · arxiv_version: math/0507103v2 · doi: 10.48550/arxiv.math/0507103 · pith_short_12: 6JSAQA4KZ7ZF · pith_short_16: 6JSAQA4KZ7ZFATZ2 · pith_short_8: 6JSAQA4K

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/6JSAQA4KZ7ZFATZ2LH3CKCNOCH \
  | 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: f26408038acff2504f3a59f62509ae11e0e74a66cb943b3728df37d1736c3534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220ef518a7de013d837fb6e2bc61a9df14375e3ffd00680d2e5db3d4df70d499",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2005-07-05T18:45:04Z",
    "title_canon_sha256": "427050d6971ba4d9ce54757d0620ad3352d15066e64a2c65c41a69c2342910f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507103",
    "kind": "arxiv",
    "version": 2
  }
}