Pith Number

pith:HAB2GAEG

pith:2012:HAB2GAEGUGNAT2YO4IRQGJLNIG

not attested not anchored not stored refs pending

K-groups for rings of finite Cohen-Macaulay type

Henrik Holm

arxiv:1211.3445 v2 · 2012-11-14 · 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{HAB2GAEGUGNAT2YO4IRQGJLNIG}

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	2026-05-18T03:13:56.140217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3803a30086a19a09eb0ee22303256d41bbf037aeff2bfe925e5906e47c24b3d8

Aliases

arxiv: 1211.3445 · arxiv_version: 1211.3445v2 · doi: 10.48550/arxiv.1211.3445 · pith_short_12: HAB2GAEGUGNA · pith_short_16: HAB2GAEGUGNAT2YO · pith_short_8: HAB2GAEG

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/HAB2GAEGUGNAT2YO4IRQGJLNIG \
  | 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: 3803a30086a19a09eb0ee22303256d41bbf037aeff2bfe925e5906e47c24b3d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c720e9009e5e1ef253e3cb078258dc3f9d7e52b8135266e200e98ad16184d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-14T22:07:05Z",
    "title_canon_sha256": "607f1ae7575b5753725f4968a16f3b2b65518779c9ac3897b5d000e44c08b3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3445",
    "kind": "arxiv",
    "version": 2
  }
}