Pith Number

pith:R5HYBKFR

pith:2004:R5HYBKFRLQ2DKTTCKNYPXTFNRI

not attested not anchored not stored refs pending

The essential ideal is a Cohen-Macaulay module

David J. Green

arxiv:math/0402434 v1 · 2004-02-26 · math.GR · 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{R5HYBKFRLQ2DKTTCKNYPXTFNRI}

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	2026-05-18T02:26:39.796022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4f80a8b15c34354e625370fbccad8a064ac16117b06eb4bd3451950a55cde4

Aliases

arxiv: math/0402434 · arxiv_version: math/0402434v1 · doi: 10.48550/arxiv.math/0402434 · pith_short_12: R5HYBKFRLQ2D · pith_short_16: R5HYBKFRLQ2DKTTC · pith_short_8: R5HYBKFR

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/R5HYBKFRLQ2DKTTCKNYPXTFNRI \
  | 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: 8f4f80a8b15c34354e625370fbccad8a064ac16117b06eb4bd3451950a55cde4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c08abb6d8881c04d9ba5b084a29c4e1318213dd0e3039351b9dd38f150cb3a3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-02-26T15:55:19Z",
    "title_canon_sha256": "dcf95ebc15360c17e3e36a05dd69784f6690b2be9fe3c23b35bb79e902fc0ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402434",
    "kind": "arxiv",
    "version": 1
  }
}