Pith Number

pith:SM2F76QO

pith:2006:SM2F76QOZYR6SXKDHTWIZKCIRV

not attested not anchored not stored refs pending

Toric anti-self-dual 4-manifolds via complex geometry

Joel Fine, Simon K. Donaldson

arxiv:math/0602423 v3 · 2006-02-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SM2F76QOZYR6SXKDHTWIZKCIRV}

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.

Receipt and verification

First computed	2026-05-18T00:45:36.633171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93345ffa0ece23e95d433cec8ca8488d4e73bf4661dc5ab5f6b630fc410eb201

Aliases

arxiv: math/0602423 · arxiv_version: math/0602423v3 · doi: 10.48550/arxiv.math/0602423 · pith_short_12: SM2F76QOZYR6 · pith_short_16: SM2F76QOZYR6SXKD · pith_short_8: SM2F76QO

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/SM2F76QOZYR6SXKDHTWIZKCIRV \
  | 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: 93345ffa0ece23e95d433cec8ca8488d4e73bf4661dc5ab5f6b630fc410eb201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70b1c02731b71f73badf7d9bb0de110636bad73daaa1646837230ece3487ad28",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-02-20T12:07:43Z",
    "title_canon_sha256": "d556122d0805f9cd9db8e51727791c2ae237c143ca36483de63b693a39b40962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602423",
    "kind": "arxiv",
    "version": 3
  }
}