Pith Number

pith:VZ6KCLDC

pith:2007:VZ6KCLDC245QKL6W6EYOB73FOS

not attested not anchored not stored refs pending

Gromov-Witten theory and Noether-Lefschetz theory

D. Maulik, R. Pandharipande

arxiv:0705.1653 v3 · 2007-05-11 · 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{VZ6KCLDC245QKL6W6EYOB73FOS}

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	2026-05-18T03:41:11.393347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae7ca12c62d73b052fd6f130e0ff657481161d19001f22973998bca0b9c921af

Aliases

arxiv: 0705.1653 · arxiv_version: 0705.1653v3 · doi: 10.48550/arxiv.0705.1653 · pith_short_12: VZ6KCLDC245Q · pith_short_16: VZ6KCLDC245QKL6W · pith_short_8: VZ6KCLDC

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/VZ6KCLDC245QKL6W6EYOB73FOS \
  | 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: ae7ca12c62d73b052fd6f130e0ff657481161d19001f22973998bca0b9c921af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695900ccc148f8f2d22116b1674593838f08ef4e2713c7f54e7875caa94bc6b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-05-11T14:34:45Z",
    "title_canon_sha256": "c138458aebeb33161f1acbc101ce7d8bf1780c4800e1e241bc7092364773ee7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1653",
    "kind": "arxiv",
    "version": 3
  }
}