Pith Number

pith:AP66GM2E

pith:2008:AP66GM2E2GMXWKQSYPTMSEZAD3

not attested not anchored not stored refs pending

Stability conditions and Stokes factors

Tom Bridgeland, Valerio Toledano-Laredo

arxiv:0801.3974 v5 · 2008-01-25 · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AP66GM2E2GMXWKQSYPTMSEZAD3}

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	2026-05-18T03:36:56.922544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03fde33344d1997b2a12c3e6c913201ed333c9a0c2ef7fec176b395eb4b9906a

Aliases

arxiv: 0801.3974 · arxiv_version: 0801.3974v5 · doi: 10.48550/arxiv.0801.3974 · pith_short_12: AP66GM2E2GMX · pith_short_16: AP66GM2E2GMXWKQS · pith_short_8: AP66GM2E

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/AP66GM2E2GMXWKQSYPTMSEZAD3 \
  | 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: 03fde33344d1997b2a12c3e6c913201ed333c9a0c2ef7fec176b395eb4b9906a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762c1f537be118988065653154111617782ad4b006dd5618d32a682973ac8995",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-01-25T16:39:45Z",
    "title_canon_sha256": "1257a25bb32cb6995a2a3cd3bdea28dfcd85216837766c9a576702d19e4a02b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3974",
    "kind": "arxiv",
    "version": 5
  }
}