Pith Number

pith:V2VQ545K

pith:2010:V2VQ545KYJUYQS6ZCHJVYNZRAK

not attested not anchored not stored refs pending

Minimal model theory for log surfaces

Osamu Fujino

arxiv:1001.3902 v3 · 2010-01-22 · 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{V2VQ545KYJUYQS6ZCHJVYNZRAK}

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	2026-05-18T04:15:17.078619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeab0ef3aac269884bd911d35c373102b9bcb6d7a57bcd5a116414e901bc8e5a

Aliases

arxiv: 1001.3902 · arxiv_version: 1001.3902v3 · doi: 10.48550/arxiv.1001.3902 · pith_short_12: V2VQ545KYJUY · pith_short_16: V2VQ545KYJUYQS6Z · pith_short_8: V2VQ545K

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/V2VQ545KYJUYQS6ZCHJVYNZRAK \
  | 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: aeab0ef3aac269884bd911d35c373102b9bcb6d7a57bcd5a116414e901bc8e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140f9788f72ded11af5db6eb7c052c78f7e128f419df80f3d589c8e4b5e87970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-22T02:10:00Z",
    "title_canon_sha256": "248188a0288f59d0bd645e23fe6e570bd034b3cd714866070d2aac493ff275c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3902",
    "kind": "arxiv",
    "version": 3
  }
}