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Pith Number

pith:P2FYKKX3

pith:1998:P2FYKKX3AYUGXLRS4XRGTEZAS4
not attested not anchored not stored refs pending

Hodge integrals and Gromov-Witten theory

C. Faber, R. Pandharipande

arxiv:math/9810173 v1 · 1998-10-30 · math.AG · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P2FYKKX3AYUGXLRS4XRGTEZAS4}

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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

6 papers in Pith

Receipt and verification
First computed 2026-07-04T14:40:50.913288Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7e8b852afb06286bae32e5e26993209729e801a98691309168936451f40713c7

Aliases

arxiv: math/9810173 · arxiv_version: math/9810173v1 · doi: 10.48550/arxiv.math/9810173 · pith_short_12: P2FYKKX3AYUG · pith_short_16: P2FYKKX3AYUGXLRS · pith_short_8: P2FYKKX3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P2FYKKX3AYUGXLRS4XRGTEZAS4 \
  | 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: 7e8b852afb06286bae32e5e26993209729e801a98691309168936451f40713c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d7d24aa64d0b8b44e2762141edfd5dfe2f29c1eda8869e0b825c9dd4cad93731",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-10-30T07:04:59Z",
    "title_canon_sha256": "7bf6373a819728037ae9ec99359f9753315a66f17383db8bd0249924844f008f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9810173",
    "kind": "arxiv",
    "version": 1
  }
}