Pith Number

pith:CNMK65QB

pith:2017:CNMK65QBXRH73GTPCE77DU6XWV

not attested not anchored not stored refs pending

Connecting Hodge integrals to Gromov-Witten invariants by Virasoro operators

Haijiang Yu, Xiaobo Liu

arxiv:1712.02331 v1 · 2017-12-06 · math.AG · math-ph · math.DG · 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{CNMK65QBXRH73GTPCE77DU6XWV}

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	2026-05-18T00:28:38.456622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1358af7601bc4ffd9a6f113ff1d3d7b566911a34e15c0160bcea28a8a7963a50

Aliases

arxiv: 1712.02331 · arxiv_version: 1712.02331v1 · doi: 10.48550/arxiv.1712.02331 · pith_short_12: CNMK65QBXRH7 · pith_short_16: CNMK65QBXRH73GTP · pith_short_8: CNMK65QB

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/CNMK65QBXRH73GTPCE77DU6XWV \
  | 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: 1358af7601bc4ffd9a6f113ff1d3d7b566911a34e15c0160bcea28a8a7963a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6abe7a21e0f70804a5598a08f9373494c3e9ccb9b50a7b09d7f1874c05e5d9ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-06T18:54:52Z",
    "title_canon_sha256": "c43df29d85cdf0f7e04ff50e871bf71ff35964a9838ad13b62c19bc5b597ce4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02331",
    "kind": "arxiv",
    "version": 1
  }
}