Pith Number

pith:4WOJKKJJ

pith:2004:4WOJKKJJJHAHADD4EUE7MR7RYW

not attested not anchored not stored refs pending

Gromov-Witten theory and Donaldson-Thomas theory, II

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

arxiv:math/0406092 v2 · 2004-06-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WOJKKJJJHAHADD4EUE7MR7RYW}

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

4 papers in Pith

Semiorthogonal decompositions for stacks

The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

Shell formulas for instantons and gauge origami

The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

Receipt and verification

First computed	2026-07-04T14:38:41.137075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59c95292949c0700c7c2509f647f1c5811e133d27f8d49a36f115da811d53a6

Aliases

arxiv: math/0406092 · arxiv_version: math/0406092v2 · doi: 10.48550/arxiv.math/0406092 · pith_short_12: 4WOJKKJJJHAH · pith_short_16: 4WOJKKJJJHAHADD4 · pith_short_8: 4WOJKKJJ

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/4WOJKKJJJHAHADD4EUE7MR7RYW \
  | 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: e59c95292949c0700c7c2509f647f1c5811e133d27f8d49a36f115da811d53a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "198e01a5f277e974fd6cb60ea767b699092e2e8f2989c92d465451c6b10e4349",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-06-05T16:23:38Z",
    "title_canon_sha256": "7c24150a3fd00b127751725a7ce8782435df8eb949efd575e1477f4af0e96316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406092",
    "kind": "arxiv",
    "version": 2
  }
}