Pith Number

pith:2KNJC2UI

pith:2009:2KNJC2UIXMSAE6OSS2DLZNQTUA

not attested not anchored not stored refs pending

Dimer models and exceptional collections

Akira Ishii, Kazushi Ueda

arxiv:0911.4529 v2 · 2009-11-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KNJC2UIXMSAE6OSS2DLZNQTUA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:21:10.962502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29a916a88bb240279d29686bcb613a032bf8e69469fe3c2976a4ad6fa572010

Aliases

arxiv: 0911.4529 · arxiv_version: 0911.4529v2 · doi: 10.48550/arxiv.0911.4529 · pith_short_12: 2KNJC2UIXMSA · pith_short_16: 2KNJC2UIXMSAE6OS · pith_short_8: 2KNJC2UI

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/2KNJC2UIXMSAE6OSS2DLZNQTUA \
  | 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: d29a916a88bb240279d29686bcb613a032bf8e69469fe3c2976a4ad6fa572010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab62950b0aaa0676159ec37496025c5ab5f134756114044b20dd862535134b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-24T02:31:06Z",
    "title_canon_sha256": "b95ac890001311b022f993bfb3004e47d69398798c27e9b47cee2f78f95b7b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4529",
    "kind": "arxiv",
    "version": 2
  }
}