Pith Number

pith:2FUJ44ZJ

pith:2014:2FUJ44ZJJYNM7RPO5USOLNVKA3

not attested not anchored not stored refs pending

The structure of balanced big Cohen-Macaulay modules over Cohen-Macaulay rings

Henrik Holm

arxiv:1408.5152 v1 · 2014-08-21 · 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{2FUJ44ZJJYNM7RPO5USOLNVKA3}

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	2026-05-18T02:44:39.364589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1689e73294e1acfc5eeed24e5b6aa06dc52ffa410ff17f4285b8d2884a2ab82

Aliases

arxiv: 1408.5152 · arxiv_version: 1408.5152v1 · doi: 10.48550/arxiv.1408.5152 · pith_short_12: 2FUJ44ZJJYNM · pith_short_16: 2FUJ44ZJJYNM7RPO · pith_short_8: 2FUJ44ZJ

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/2FUJ44ZJJYNM7RPO5USOLNVKA3 \
  | 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: d1689e73294e1acfc5eeed24e5b6aa06dc52ffa410ff17f4285b8d2884a2ab82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e914c75c1ba9bd743ec75c7651f68434853fc59bfb140d859d7b5e742faf33c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-08-21T20:28:31Z",
    "title_canon_sha256": "3ed18f377b981077b5b4b1469f78b118e32f0aa6f3106a7fe7f7a7099d654611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5152",
    "kind": "arxiv",
    "version": 1
  }
}