Pith Number

pith:MLULTWX6

pith:2019:MLULTWX653ZBRNI2NQSPVRSAGT

not attested not anchored not stored refs pending

Genus Two Quasi-Siegel Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds

Jie Zhou, Yingchun Zhang, Yongbin Ruan

arxiv:1911.07204 v4 · 2019-11-17 · math.AG · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLULTWX653ZBRNI2NQSPVRSAGT}

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	2026-07-05T05:59:30.627699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e8b9dafeeef218b51a6c24fac64034df0f8c90cee8ba0c6644cfbf23d8ea4d

Aliases

arxiv: 1911.07204 · arxiv_version: 1911.07204v4 · doi: 10.48550/arxiv.1911.07204 · pith_short_12: MLULTWX653ZB · pith_short_16: MLULTWX653ZBRNI2 · pith_short_8: MLULTWX6

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/MLULTWX653ZBRNI2NQSPVRSAGT \
  | 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: 62e8b9dafeeef218b51a6c24fac64034df0f8c90cee8ba0c6644cfbf23d8ea4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92c969b26ec8b676cbcacaf5374b1197609f370c95d7250ae52f2afb956ef96",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-17T10:19:57Z",
    "title_canon_sha256": "40c9a50601d912e64617251ad31b3e8e47e42c3742e06808d88a6794271870a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07204",
    "kind": "arxiv",
    "version": 4
  }
}