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Pith Number

pith:SC4SGQLF

pith:2003:SC4SGQLF7TZ3BRFYX5AM2HYP2C
not attested not anchored not stored refs pending

Gromov-Witten theory and Donaldson-Thomas theory, I

A. Okounkov, D. Maulik, N. Nekrasov, R. Pandharipande

arxiv:math/0312059 v3 · 2003-12-02 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SC4SGQLF7TZ3BRFYX5AM2HYP2C}

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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

5 papers in Pith

Receipt and verification
First computed 2026-07-04T14:38:03.292101Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

90b9234165fcf3b0c4b8bf40cd1f0fd08e0cdda162cf2ff9fdb5c53f968aca21

Aliases

arxiv: math/0312059 · arxiv_version: math/0312059v3 · doi: 10.48550/arxiv.math/0312059 · pith_short_12: SC4SGQLF7TZ3 · pith_short_16: SC4SGQLF7TZ3BRFY · pith_short_8: SC4SGQLF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SC4SGQLF7TZ3BRFYX5AM2HYP2C \
  | 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: 90b9234165fcf3b0c4b8bf40cd1f0fd08e0cdda162cf2ff9fdb5c53f968aca21
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "898ca3c5eb22834535de83bda1398e6e469f011fc561d41f63c0d3c871d761af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-12-02T15:33:54Z",
    "title_canon_sha256": "adaf9d8b6eac11d91fe3d0faecacfd4bf4474370e22ebd849aadd805303d5177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312059",
    "kind": "arxiv",
    "version": 3
  }
}