Pith Number

pith:P36PIVEZ

pith:2012:P36PIVEZXYJTXTSGHQIEWBTHZL

not attested not anchored not stored refs pending

Betti numbers of cut ideals of trees

Camilo Sarmiento, Samu Potka

arxiv:1209.6372 v2 · 2012-09-27 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P36PIVEZXYJTXTSGHQIEWBTHZL}

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	2026-05-18T03:08:47.571195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7efcf45499be133bce463c104b0667cac0b489c8b7726f7f5293da47cface9fe

Aliases

arxiv: 1209.6372 · arxiv_version: 1209.6372v2 · doi: 10.48550/arxiv.1209.6372 · pith_short_12: P36PIVEZXYJT · pith_short_16: P36PIVEZXYJTXTSG · pith_short_8: P36PIVEZ

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/P36PIVEZXYJTXTSGHQIEWBTHZL \
  | 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: 7efcf45499be133bce463c104b0667cac0b489c8b7726f7f5293da47cface9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39105934172897027c883dcd690192d819535515edd673d8c61e1d6fb8a65265",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-27T20:42:07Z",
    "title_canon_sha256": "b266a28cf958d82d0d724a20f7a3b8a8e1c98e2a5a15638dcd3b22f93f0c2f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6372",
    "kind": "arxiv",
    "version": 2
  }
}