Pith Number

pith:QTNX2FJC

pith:2003:QTNX2FJCBOK4HLYRQCWNJD7USJ

not attested not anchored not stored refs pending

On semistable Mori contractions

Yuri Prokhorov

arxiv:math/0305190 v2 · 2003-05-14 · 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{QTNX2FJCBOK4HLYRQCWNJD7USJ}

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	2026-05-18T01:38:29.047652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84db7d15220b95c3af1180acd48ff4926175cd51f5ec9d90d64fffe15e407728

Aliases

arxiv: math/0305190 · arxiv_version: math/0305190v2 · doi: 10.48550/arxiv.math/0305190 · pith_short_12: QTNX2FJCBOK4 · pith_short_16: QTNX2FJCBOK4HLYR · pith_short_8: QTNX2FJC

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/QTNX2FJCBOK4HLYRQCWNJD7USJ \
  | 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: 84db7d15220b95c3af1180acd48ff4926175cd51f5ec9d90d64fffe15e407728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb7773ce5979224286742f50a57156ba1cee2b80a8fb7c48d7ca582f00885d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-05-14T04:25:31Z",
    "title_canon_sha256": "e119ae22d7b9fd0011bd3c702a530fc18b146002fae313d71e8013b261585933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305190",
    "kind": "arxiv",
    "version": 2
  }
}