Pith Number

pith:GHDVYPWK

pith:2013:GHDVYPWK4G5RLKPZ7ZJ2IZ5WPX

not attested not anchored not stored refs pending

A new characterization of Cohen-Macaulay rings

Kamal Bahmanpour, Reza Naghipour

arxiv:1308.6044 v1 · 2013-08-28 · 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{GHDVYPWK4G5RLKPZ7ZJ2IZ5WPX}

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	2026-05-18T03:14:49.228386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c75c3ecae1bb15a9f9fe53a467b67ddf8428cdb6e362fb80081f154855c381

Aliases

arxiv: 1308.6044 · arxiv_version: 1308.6044v1 · doi: 10.48550/arxiv.1308.6044 · pith_short_12: GHDVYPWK4G5R · pith_short_16: GHDVYPWK4G5RLKPZ · pith_short_8: GHDVYPWK

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/GHDVYPWK4G5RLKPZ7ZJ2IZ5WPX \
  | 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: 31c75c3ecae1bb15a9f9fe53a467b67ddf8428cdb6e362fb80081f154855c381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e140e8381178b0d98283d3a1f68b957585c7624e520d5a79068c31fcbd4660f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-28T03:18:00Z",
    "title_canon_sha256": "2652eefe03626c5d71b6cccedcd8a11ccd884b8f786d3f65efbc504318e21ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6044",
    "kind": "arxiv",
    "version": 1
  }
}