Pith Number

pith:RZJDWTKH

pith:2010:RZJDWTKH2SQHSXNHKEHB575RSM

not attested not anchored not stored refs pending

Descendent theory for stable pairs on toric 3-folds

A. Pixton, R. Pandharipande

arxiv:1011.4054 v4 · 2010-11-17 · 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{RZJDWTKH2SQHSXNHKEHB575RSM}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T03:51:48.899280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e523b4d47d4a0795da7510e1effb19310fcb554454152dc6bfc26338aa18340

Aliases

arxiv: 1011.4054 · arxiv_version: 1011.4054v4 · doi: 10.48550/arxiv.1011.4054 · pith_short_12: RZJDWTKH2SQH · pith_short_16: RZJDWTKH2SQHSXNH · pith_short_8: RZJDWTKH

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/RZJDWTKH2SQHSXNHKEHB575RSM \
  | 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: 8e523b4d47d4a0795da7510e1effb19310fcb554454152dc6bfc26338aa18340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca9e13d774cc36282455210abd68d9e55a06cade2a26b19601883ddc1533a9ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-17T20:44:04Z",
    "title_canon_sha256": "a8c2aba9e376b6a6da152d71d364fa2acbd8fb13536c9655c8331ec7e84923d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4054",
    "kind": "arxiv",
    "version": 4
  }
}