Pith Number

pith:PNCRNRMA

pith:2010:PNCRNRMAT4CDM3BW26RALQNRPN

not attested not anchored not stored refs pending

Linkage of modules over Cohen-Macaulay rings

Arash Sadeghi, Mohammad T. Dibaei, Mohsen Gheibi, S. H. Hassanzadeh

arxiv:1010.1536 v1 · 2010-10-07 · 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{PNCRNRMAT4CDM3BW26RALQNRPN}

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	2026-05-18T04:22:00.810353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4516c5809f04366c36d7a205c1b17b43da6e40da573010638833bb130e67fd

Aliases

arxiv: 1010.1536 · arxiv_version: 1010.1536v1 · doi: 10.48550/arxiv.1010.1536 · pith_short_12: PNCRNRMAT4CD · pith_short_16: PNCRNRMAT4CDM3BW · pith_short_8: PNCRNRMA

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/PNCRNRMAT4CDM3BW26RALQNRPN \
  | 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: 7b4516c5809f04366c36d7a205c1b17b43da6e40da573010638833bb130e67fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea1124d9f5cb104f01811163db8b5078898ea7c9409d4d8de4bdbe0f81c4039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-07T20:03:09Z",
    "title_canon_sha256": "e62267e34b5ee674ff6168ded7411ae0f65888f717cf3c4b2ca961ad5133681d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1536",
    "kind": "arxiv",
    "version": 1
  }
}