Pith Number

pith:NRKZY5SO

pith:2002:NRKZY5SOAV6YDFBWDYMWIPJ2MQ

not attested not anchored not stored refs pending

On Cohen-Macaulay modules over surface singularities

Gert-Martin Greuel, Irina Kashuba, Yuriy Drozd

arxiv:math/0202158 v1 · 2002-02-17 · math.AG · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRKZY5SOAV6YDFBWDYMWIPJ2MQ}

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	2026-05-18T04:04:05.104929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c559c764e057d8194361e19643d3a643de5085dd6353cca6a9b1bcb1868f705

Aliases

arxiv: math/0202158 · arxiv_version: math/0202158v1 · doi: 10.48550/arxiv.math/0202158 · pith_short_12: NRKZY5SOAV6Y · pith_short_16: NRKZY5SOAV6YDFBW · pith_short_8: NRKZY5SO

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/NRKZY5SOAV6YDFBWDYMWIPJ2MQ \
  | 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: 6c559c764e057d8194361e19643d3a643de5085dd6353cca6a9b1bcb1868f705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39070da44a273c0cb076aff17573ac611ab23ecbe6f6a7a5d680738d0b3b2897",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-02-17T12:06:35Z",
    "title_canon_sha256": "e90ab86abe51fed1facf8c3b9e4004351ae818e15fbe1db3e8462194955bd149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202158",
    "kind": "arxiv",
    "version": 1
  }
}