Pith Number

pith:QDHWH637

pith:2018:QDHWH6373OVKPYWUE2GLU6GM77

not attested not anchored not stored refs pending

Open Gromov-Witten Theory of $K_{\mathbb P^2}, K_{{\mathbb P^1}\times {\mathbb P^1}}, K_{W\mathbb P[1,1,2]}, K_{\mathbb F_1}$ and Jacobi Forms

Bohan Fang, Jie Zhou, Yingchun Zhang, Yongbin Ruan

arxiv:1805.04894 v2 · 2018-05-13 · 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{QDHWH6373OVKPYWUE2GLU6GM77}

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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	2026-07-05T00:59:32.549162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80cf63fb7fdbaaa7e2d4268cba78ccfffe3967b70eaedc376e8c6f2fbb58828e

Aliases

arxiv: 1805.04894 · arxiv_version: 1805.04894v2 · doi: 10.48550/arxiv.1805.04894 · pith_short_12: QDHWH6373OVK · pith_short_16: QDHWH6373OVKPYWU · pith_short_8: QDHWH637

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/QDHWH6373OVKPYWUE2GLU6GM77 \
  | 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: 80cf63fb7fdbaaa7e2d4268cba78ccfffe3967b70eaedc376e8c6f2fbb58828e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5585fe64eb857122ae6e54d2573cae55b3aad4c91defecfea3638baeaa1a5222",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-13T14:24:50Z",
    "title_canon_sha256": "4f4cca2a9b05d0dd71fc00eef008e2e28aa64bb99d8ccc2d0db8a7f7ef2f7234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04894",
    "kind": "arxiv",
    "version": 2
  }
}