Pith Number

pith:VDJHQN2H

pith:2014:VDJHQN2HY4ULAZODMTJ2VVM2G4

not attested not anchored not stored refs pending

Perfect linkage of Cohen--Macaulay modules over Cohen--Macaulay rings

Kei-ichiro Iima, Ryo Takahashi

arxiv:1412.8027 v2 · 2014-12-27 · 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{VDJHQN2HY4ULAZODMTJ2VVM2G4}

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	2026-05-18T01:14:26.200782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d2783747c728b065c364d3aad59a3708ffd6d65741e3a98e4cc23552645235

Aliases

arxiv: 1412.8027 · arxiv_version: 1412.8027v2 · doi: 10.48550/arxiv.1412.8027 · pith_short_12: VDJHQN2HY4UL · pith_short_16: VDJHQN2HY4ULAZOD · pith_short_8: VDJHQN2H

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/VDJHQN2HY4ULAZODMTJ2VVM2G4 \
  | 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: a8d2783747c728b065c364d3aad59a3708ffd6d65741e3a98e4cc23552645235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecbee12a035070febd4313ca74ef26beed169ea4009277d81b4862b11c88ac9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-12-27T08:47:29Z",
    "title_canon_sha256": "28b99f47c83ace870eea1fa8e366b366627aef7c3e81046d10c17c0641991256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8027",
    "kind": "arxiv",
    "version": 2
  }
}