Pith Number

pith:HKMXTNVH

pith:1998:HKMXTNVHBRS6I454HOPV24I4J2

not attested not anchored not stored refs pending

Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds I

An-Min Li, Yongbin Ruan

arxiv:math/9803036 v4 · 1998-03-10 · math.AG · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKMXTNVHBRS6I454HOPV24I4J2}

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

Calabi-Yau threefolds across quadratic singularities

Receipt and verification

First computed	2026-07-04T14:40:28.439946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9979b6a70c65e473bc3b9f5d711c4e913304e1db4df52cd3711263ac6f9e07

Aliases

arxiv: math/9803036 · arxiv_version: math/9803036v4 · doi: 10.48550/arxiv.math/9803036 · pith_short_12: HKMXTNVHBRS6 · pith_short_16: HKMXTNVHBRS6I454 · pith_short_8: HKMXTNVH

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/HKMXTNVHBRS6I454HOPV24I4J2 \
  | 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: 3a9979b6a70c65e473bc3b9f5d711c4e913304e1db4df52cd3711263ac6f9e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74e35e10289ef74903ebb18d2fc727f919e8f740f0205fc1e9ad6f68739d753f",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-03-10T22:29:08Z",
    "title_canon_sha256": "a78c76df0ff56cd0c274392fa26511c6b1bfe87bb7c0dcdeedba0e28fa1cf7f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803036",
    "kind": "arxiv",
    "version": 4
  }
}