Pith Number

pith:L2I4A6FA

pith:2009:L2I4A6FA53WZFY7XP5AXWXBGBF

not attested not anchored not stored refs pending

Zariski decompositions on arithmetic surfaces

Atsushi Moriwaki

arxiv:0911.2951 v4 · 2009-11-16 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2I4A6FA53WZFY7XP5AXWXBGBF}

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	2026-05-18T04:30:59.827288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e91c078a0eeed92e3f77f417b5c26097e833b9fc87a0cac02379e4a45affe45

Aliases

arxiv: 0911.2951 · arxiv_version: 0911.2951v4 · doi: 10.48550/arxiv.0911.2951 · pith_short_12: L2I4A6FA53WZ · pith_short_16: L2I4A6FA53WZFY7X · pith_short_8: L2I4A6FA

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/L2I4A6FA53WZFY7XP5AXWXBGBF \
  | 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: 5e91c078a0eeed92e3f77f417b5c26097e833b9fc87a0cac02379e4a45affe45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a328baa35259942e3fa2498531dbca5b981038e6f2f5d9159b24f6301413bfd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-16T05:00:42Z",
    "title_canon_sha256": "011723b8418534bf0a71b8f074655cce3b58fbe3e4401430b1d46fba01c1fa54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2951",
    "kind": "arxiv",
    "version": 4
  }
}