Pith Number

pith:5ASVZWQO

pith:2012:5ASVZWQOBQAXJIXFELY74FNDKQ

not attested not anchored not stored refs pending

Classifying resolving subcategories over a Cohen-Macaulay local ring

Ryo Takahashi

arxiv:1203.1294 v1 · 2012-03-06 · 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{5ASVZWQOBQAXJIXFELY74FNDKQ}

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	2026-05-18T04:00:39.766615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8255cda0e0c0174a2e522f1fe15a3542361a06c8c404f1e350cb3a44ed1a96c

Aliases

arxiv: 1203.1294 · arxiv_version: 1203.1294v1 · doi: 10.48550/arxiv.1203.1294 · pith_short_12: 5ASVZWQOBQAX · pith_short_16: 5ASVZWQOBQAXJIXF · pith_short_8: 5ASVZWQO

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/5ASVZWQOBQAXJIXFELY74FNDKQ \
  | 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: e8255cda0e0c0174a2e522f1fe15a3542361a06c8c404f1e350cb3a44ed1a96c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef40d4dbe4d113cce9e34efbce4ba61cccf5105ad4bb16bcc7c0795d09e535ee",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-06T19:36:30Z",
    "title_canon_sha256": "0513f16661237d1fdf964597d1dacad2156fdcc4a993dee2278a55d95afb55e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1294",
    "kind": "arxiv",
    "version": 1
  }
}