Pith Number

pith:34KXTTMF

pith:2014:34KXTTMFURTZNLI5TX7ISLY3YE

not attested not anchored not stored refs pending

Recursive Betti numbers for Cohen-Macaulay $d$-partite clutters arising from posets

Davide Bolognini

arxiv:1411.5629 v2 · 2014-11-20 · 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{34KXTTMFURTZNLI5TX7ISLY3YE}

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	2026-05-18T01:29:54.707813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df1579cd85a46796ad1d9dfe892f1bc12113b823832e10521d0b34dd96a388e4

Aliases

arxiv: 1411.5629 · arxiv_version: 1411.5629v2 · doi: 10.48550/arxiv.1411.5629 · pith_short_12: 34KXTTMFURTZ · pith_short_16: 34KXTTMFURTZNLI5 · pith_short_8: 34KXTTMF

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/34KXTTMFURTZNLI5TX7ISLY3YE \
  | 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: df1579cd85a46796ad1d9dfe892f1bc12113b823832e10521d0b34dd96a388e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ef94aefe6897e124730e569048ae59317c83d1ceb041443546321c5a1b45b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-11-20T18:15:43Z",
    "title_canon_sha256": "34a60c7dc26a78911d93539e5c88f9bf08f8ed5fa9ab03ed360ac14c01d28c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5629",
    "kind": "arxiv",
    "version": 2
  }
}