Pith Number

pith:DOL7BCMY

pith:2007:DOL7BCMYD5WUPHNPD5YN6QK22M

not attested not anchored not stored refs pending

The 3-fold vertex via stable pairs

R. Pandharipande, R. P. Thomas

arxiv:0709.3823 v2 · 2007-09-24 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOL7BCMYD5WUPHNPD5YN6QK22M}

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	2026-05-18T02:38:19.384115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b97f089981f6d479daf1f70df415ad338b6001888f7c52105a5545a82ea9485

Aliases

arxiv: 0709.3823 · arxiv_version: 0709.3823v2 · doi: 10.48550/arxiv.0709.3823 · pith_short_12: DOL7BCMYD5WU · pith_short_16: DOL7BCMYD5WUPHNP · pith_short_8: DOL7BCMY

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/DOL7BCMYD5WUPHNPD5YN6QK22M \
  | 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: 1b97f089981f6d479daf1f70df415ad338b6001888f7c52105a5545a82ea9485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d743b0a6615cd66492e8fc2efc0c9b0b2ea13d8233c517d523bb0f2d43aa9f56",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-24T19:30:41Z",
    "title_canon_sha256": "9d94fc42dfde51ba6ab1af7ada2ab8643a3a7a1e8c2cdb431f1515f7f8bb157b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3823",
    "kind": "arxiv",
    "version": 2
  }
}