Pith Number

pith:J5OMB77E

pith:2013:J5OMB77EGWFD4EIPWKINAJHUUN

not attested not anchored not stored refs pending

Ulrich ideals and modules over two-dimensional rational singularities

Kazuho Ozeki, Kei-ichi Watanabe, Ken-ichi Yoshida, Ryo Takahashi, Shiro Goto

arxiv:1307.2093 v1 · 2013-07-08 · math.AC · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5OMB77EGWFD4EIPWKINAJHUUN}

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	2026-05-18T03:19:02.487980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5cc0ffe4358a3e110fb290d024f4a3767fcb14f410d0c12e05f0a0ec01326d

Aliases

arxiv: 1307.2093 · arxiv_version: 1307.2093v1 · doi: 10.48550/arxiv.1307.2093 · pith_short_12: J5OMB77EGWFD · pith_short_16: J5OMB77EGWFD4EIP · pith_short_8: J5OMB77E

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/J5OMB77EGWFD4EIPWKINAJHUUN \
  | 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: 4f5cc0ffe4358a3e110fb290d024f4a3767fcb14f410d0c12e05f0a0ec01326d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d5ad4f29e51dc3b2f7ea462e318334dfd787a85b4af43b0729a5b4520a2bc3",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-08T13:56:23Z",
    "title_canon_sha256": "349785997e54a1b9647553967d1806aa99b2a113177ab033b70a0920bf992f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2093",
    "kind": "arxiv",
    "version": 1
  }
}