Pith Number

pith:WK5W3JGM

pith:2018:WK5W3JGMSTBY7LB7A5KIUENKUU

not attested not anchored not stored refs pending

Gromov-Witten Invariants of Local P^2 and Modular Forms

Hiroshi Iritani, Tom Coates

arxiv:1804.03292 v2 · 2018-04-10 · math.AG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK5W3JGMSTBY7LB7A5KIUENKUU}

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

Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: $\mathcal{O}(3)$ over $\mathbb{P}^2$

Receipt and verification

First computed	2026-07-05T05:43:43.872056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bb6da4cc94c38fac3f07548a11aaa51c19258e7c8020bd5bcb32ba7d4dc35e

Aliases

arxiv: 1804.03292 · arxiv_version: 1804.03292v2 · doi: 10.48550/arxiv.1804.03292 · pith_short_12: WK5W3JGMSTBY · pith_short_16: WK5W3JGMSTBY7LB7 · pith_short_8: WK5W3JGM

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/WK5W3JGMSTBY7LB7A5KIUENKUU \
  | 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: b2bb6da4cc94c38fac3f07548a11aaa51c19258e7c8020bd5bcb32ba7d4dc35e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c36c0f58d99df5ef6b04cb25f33c03d05efed2e101b8ee46642b40aac171879",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-10T01:12:00Z",
    "title_canon_sha256": "aa209f2e4c22cc9f1d4dab0609a3819609d94cae7fedeaf35efd2f25d4e0179e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03292",
    "kind": "arxiv",
    "version": 2
  }
}