Pith Number

pith:HOOYUCJD

pith:2017:HOOYUCJDYWSOW4P4TCS2GT7O34

not attested not anchored not stored refs pending

Descendents for stable pairs on 3-folds

Rahul Pandharipande

arxiv:1703.01747 v1 · 2017-03-06 · 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{HOOYUCJDYWSOW4P4TCS2GT7O34}

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	2026-05-18T00:49:29.784243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9d8a0923c5a4eb71fc98a5a34feedf187c34847fe3e3d61b8fa419a7c554df

Aliases

arxiv: 1703.01747 · arxiv_version: 1703.01747v1 · doi: 10.48550/arxiv.1703.01747 · pith_short_12: HOOYUCJDYWSO · pith_short_16: HOOYUCJDYWSOW4P4 · pith_short_8: HOOYUCJD

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/HOOYUCJDYWSOW4P4TCS2GT7O34 \
  | 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: 3b9d8a0923c5a4eb71fc98a5a34feedf187c34847fe3e3d61b8fa419a7c554df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82c89c61696435ae956e5b7af5f6556633689c44a619e6a1dc46adf71a39252",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-06T07:19:31Z",
    "title_canon_sha256": "0292326b986e1b2fd56b72fc6cf59e1ea0390bf126378d7b84ed448092a64a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01747",
    "kind": "arxiv",
    "version": 1
  }
}