Pith Number

pith:MW736WBT

pith:2009:MW736WBTKOM3ENDJFVHRB763TI

not attested not anchored not stored refs pending

The Sarkisov program

Christopher D. Hacon, James McKernan

arxiv:0905.0946 v2 · 2009-05-07 · 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{MW736WBTKOM3ENDJFVHRB763TI}

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	2026-05-18T04:19:32.389101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bfbf58335399b234692d4f10ffdb9a3ab022d31cde4f6b32749a1cedc5c723

Aliases

arxiv: 0905.0946 · arxiv_version: 0905.0946v2 · doi: 10.48550/arxiv.0905.0946 · pith_short_12: MW736WBTKOM3 · pith_short_16: MW736WBTKOM3ENDJ · pith_short_8: MW736WBT

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/MW736WBTKOM3ENDJFVHRB763TI \
  | 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: 65bfbf58335399b234692d4f10ffdb9a3ab022d31cde4f6b32749a1cedc5c723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c230cf44be5d02e47a318fd991ab7af6948b2700d6f1de3022cdbe84d51e0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-07T03:24:15Z",
    "title_canon_sha256": "35195b406c0ef87b81e1e45d39b1681f8294aafba94df44ac39c8d4275e3bf18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0946",
    "kind": "arxiv",
    "version": 2
  }
}