Pith Number

pith:O27IRPEU

pith:2007:O27IRPEURARUXE22E4JUVPTCNW

not attested not anchored not stored refs pending

Stable pairs and BPS invariants

R. Pandharipande, R. P. Thomas

arxiv:0711.3899 v4 · 2007-11-25 · 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{O27IRPEURARUXE22E4JUVPTCNW}

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	2026-05-18T00:44:03.904161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76be88bc9488234b935a27134abe626d8daa8dac23624d94e9362dd8c3b7ddd6

Aliases

arxiv: 0711.3899 · arxiv_version: 0711.3899v4 · doi: 10.48550/arxiv.0711.3899 · pith_short_12: O27IRPEURARU · pith_short_16: O27IRPEURARUXE22 · pith_short_8: O27IRPEU

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/O27IRPEURARUXE22E4JUVPTCNW \
  | 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: 76be88bc9488234b935a27134abe626d8daa8dac23624d94e9362dd8c3b7ddd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7b4c920f8f84ba05213a1577184b6b333598855c79695737d2f8506caa76f0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-11-25T13:34:13Z",
    "title_canon_sha256": "13b856633f7bb683a98272a641a6954bc8488a89103dcc4464d8d858a59aa80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3899",
    "kind": "arxiv",
    "version": 4
  }
}