Pith Number

pith:D72JIJFD

pith:2007:D72JIJFDHSEXZ46XN6YG3NH7AS

not attested not anchored not stored refs pending

Curve counting via stable pairs in the derived category

R. Pandharipande, R. P. Thomas

arxiv:0707.2348 v5 · 2007-07-16 · math.AG · hep-th · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D72JIJFDHSEXZ46XN6YG3NH7AS}

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

Large Order Enumerative Geometry, Black Holes and Black Rings

Shell formulas for instantons and gauge origami

The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds

Receipt and verification

First computed	2026-07-05T00:23:45.898550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff49424a33c897cf3d76fb06db4ff04bcd9f9b18c1729c85154d7d4de3fb3fc

Aliases

arxiv: 0707.2348 · arxiv_version: 0707.2348v5 · doi: 10.48550/arxiv.0707.2348 · pith_short_12: D72JIJFDHSEX · pith_short_16: D72JIJFDHSEXZ46X · pith_short_8: D72JIJFD

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/D72JIJFDHSEXZ46XN6YG3NH7AS \
  | 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: 1ff49424a33c897cf3d76fb06db4ff04bcd9f9b18c1729c85154d7d4de3fb3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ecb1ffcb0d723258d589addd605c779a85fa54acd17e70c0769ebbea1b65d24",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-16T16:07:13Z",
    "title_canon_sha256": "821724e4d900701f927939544cedcbf36f1ba3a84d24b3cba344bb78eb7ad401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2348",
    "kind": "arxiv",
    "version": 5
  }
}