Pith Number

pith:WMJXHWQM

pith:2013:WMJXHWQMS5G7MWRYQX2YQDS5JY

not attested not anchored not stored refs pending

Computing families of Cohen-Macaulay and Gorenstein rings

A. Vigneron-Tenorio, J. I. Garc\'ia-Garc\'ia

arxiv:1304.5089 v1 · 2013-04-18 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMJXHWQMS5G7MWRYQX2YQDS5JY}

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	2026-05-18T03:27:41.813593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31373da0c974df65a3885f5880e5d4e1e594223d49915e5847cff655bf94404

Aliases

arxiv: 1304.5089 · arxiv_version: 1304.5089v1 · doi: 10.48550/arxiv.1304.5089 · pith_short_12: WMJXHWQMS5G7 · pith_short_16: WMJXHWQMS5G7MWRY · pith_short_8: WMJXHWQM

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/WMJXHWQMS5G7MWRYQX2YQDS5JY \
  | 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: b31373da0c974df65a3885f5880e5d4e1e594223d49915e5847cff655bf94404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b485ee1583d247fdaf37c4214eca7c3bb2e01d1754d46feaf6cafe819df6e7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-18T11:27:46Z",
    "title_canon_sha256": "db1ac6d76bb9c9152b7377d84adf67ed367c2508988b8bca8533a6ad3a7bca21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5089",
    "kind": "arxiv",
    "version": 1
  }
}