Pith Number

pith:D2U56G5J

pith:2010:D2U56G5JNU443AFNPML46SWON2

not attested not anchored not stored refs pending

Semi-stable minimal model program for varieties with trivial canonical divisor

Osamu Fujino

arxiv:1010.2577 v2 · 2010-10-13 · 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{D2U56G5JNU443AFNPML46SWON2}

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	2026-05-18T04:33:26.731968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea9df1ba96d39cd80ad7b17cf4ace6e80fb474fc71d5c24901c0c9fd0b585d1

Aliases

arxiv: 1010.2577 · arxiv_version: 1010.2577v2 · doi: 10.48550/arxiv.1010.2577 · pith_short_12: D2U56G5JNU44 · pith_short_16: D2U56G5JNU443AFN · pith_short_8: D2U56G5J

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/D2U56G5JNU443AFNPML46SWON2 \
  | 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: 1ea9df1ba96d39cd80ad7b17cf4ace6e80fb474fc71d5c24901c0c9fd0b585d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79edb41fd14da73463f08133e028a58d41772779f43b506905d794159b5ec388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-13T05:52:09Z",
    "title_canon_sha256": "a95fff045590f55fd23e2abf3a76a3d16e5f6b86c65487c7634ef9deffc84869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2577",
    "kind": "arxiv",
    "version": 2
  }
}