Pith Number

pith:IVMUUY73

pith:2018:IVMUUY7354M7QLT3BFAUJXATJV

not attested not anchored not stored refs pending

Multiplicity of the saturated special fiber ring of height two perfect ideals

Yairon Cid-Ruiz

arxiv:1807.03189 v2 · 2018-07-09 · math.AC · 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{IVMUUY7354M7QLT3BFAUJXATJV}

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	2026-05-17T23:47:08.733162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45594a63fbef19f82e7b094144dc134d5f8800024e5d130d7a9702db83b8a59a

Aliases

arxiv: 1807.03189 · arxiv_version: 1807.03189v2 · doi: 10.48550/arxiv.1807.03189 · pith_short_12: IVMUUY7354M7 · pith_short_16: IVMUUY7354M7QLT3 · pith_short_8: IVMUUY73

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/IVMUUY7354M7QLT3BFAUJXATJV \
  | 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: 45594a63fbef19f82e7b094144dc134d5f8800024e5d130d7a9702db83b8a59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2e2fc1ca3b9a5722ad46a2c6238b766e38a904582407dea9a8b5a305859f8b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-07-09T14:21:33Z",
    "title_canon_sha256": "2ac100496753fcf71a5e518650329c7b7a732b66aa5290cfa51129963bf3566d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03189",
    "kind": "arxiv",
    "version": 2
  }
}