Pith Number

pith:ELJ3QZVR

pith:2019:ELJ3QZVRRVAZUFWC5ROIECFMVZ

not attested not anchored not stored refs pending

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

Xin Wang

arxiv:1906.11643 v1 · 2019-06-26 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELJ3QZVRRVAZUFWC5ROIECFMVZ}

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	2026-05-17T23:42:04.231695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d3b866b18d419a16c2ec5c8208acae4cdd7c1ae246c5cfcd22d5609bf3970b

Aliases

arxiv: 1906.11643 · arxiv_version: 1906.11643v1 · doi: 10.48550/arxiv.1906.11643 · pith_short_12: ELJ3QZVRRVAZ · pith_short_16: ELJ3QZVRRVAZUFWC · pith_short_8: ELJ3QZVR

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/ELJ3QZVRRVAZUFWC5ROIECFMVZ \
  | 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: 22d3b866b18d419a16c2ec5c8208acae4cdd7c1ae246c5cfcd22d5609bf3970b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb1c9133ed76a7520e72f5e88ce056820cf29db285621ec764db25ebdfcab24",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-26T12:31:48Z",
    "title_canon_sha256": "7e5315f48f6ec8930e5f8eba0e9d749f6db10d2846ce6e1c45d1a4733ab8b201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11643",
    "kind": "arxiv",
    "version": 1
  }
}