Pith Number

pith:MWVSIKQU

pith:2005:MWVSIKQU6P4WAE5GNYIZWNBCV4

not attested not anchored not stored refs pending

Base point free theorems--saturation, b-divisors, and canonical bundle formula--

Osamu Fujino

arxiv:math/0508554 v3 · 2005-08-29 · 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{MWVSIKQU6P4WAE5GNYIZWNBCV4}

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	2026-05-18T04:28:28.562233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ab242a14f3f96013a66e119b3422af0beb52a807f1ccef6f9516286a48af11

Aliases

arxiv: math/0508554 · arxiv_version: math/0508554v3 · doi: 10.48550/arxiv.math/0508554 · pith_short_12: MWVSIKQU6P4W · pith_short_16: MWVSIKQU6P4WAE5G · pith_short_8: MWVSIKQU

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/MWVSIKQU6P4WAE5GNYIZWNBCV4 \
  | 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: 65ab242a14f3f96013a66e119b3422af0beb52a807f1ccef6f9516286a48af11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd7ca80c0983c6f70473dcfada6417f884c111c319e960c5aaa2e54b9e8e4638",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2005-08-29T05:49:55Z",
    "title_canon_sha256": "1b3ecd618c5a7ea51719580525e88cc843531499c7974f060096f899c9448460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508554",
    "kind": "arxiv",
    "version": 3
  }
}