Pith Number

pith:CV5JJ2IZ

pith:2011:CV5JJ2IZIH3OJ2HGZ3WZ27WWWF

not attested not anchored not stored refs pending

Stability conditions and curve counting invariants on Calabi-Yau 3-folds

Yukinobu Toda

arxiv:1103.4229 v2 · 2011-03-22 · 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{CV5JJ2IZIH3OJ2HGZ3WZ27WWWF}

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	2026-05-18T02:29:25.604408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157a94e91941f6e4e8e6ceed9d7ed6b160f64852d8ccf90349b608fce50830ed

Aliases

arxiv: 1103.4229 · arxiv_version: 1103.4229v2 · doi: 10.48550/arxiv.1103.4229 · pith_short_12: CV5JJ2IZIH3O · pith_short_16: CV5JJ2IZIH3OJ2HG · pith_short_8: CV5JJ2IZ

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/CV5JJ2IZIH3OJ2HGZ3WZ27WWWF \
  | 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: 157a94e91941f6e4e8e6ceed9d7ed6b160f64852d8ccf90349b608fce50830ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1ce65682db9c0f1b2caa8000021ccf80de37fb08315428c564913be6364704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-22T08:22:53Z",
    "title_canon_sha256": "01485ea76ddd8d62cf9366fea7dd73fb8838cb7885028366cf6f719275a80dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4229",
    "kind": "arxiv",
    "version": 2
  }
}