Pith Number

pith:KUMO7PEM

pith:2019:KUMO7PEMG57DCU3WZ3ICKQ5Z4Q

not attested not anchored not stored refs pending

Minimal separators in graph classes defined by small forbidden induced subgraphs

Martin Milani\v{c}, Nevena Piva\v{c}

arxiv:1903.04534 v1 · 2019-03-11 · 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{KUMO7PEMG57DCU3WZ3ICKQ5Z4Q}

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	2026-05-17T23:44:37.623700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5518efbc8c377e315376ced02543b9e4134170ba5b249e1b1b00b88c4d8e785d

Aliases

arxiv: 1903.04534 · arxiv_version: 1903.04534v1 · doi: 10.48550/arxiv.1903.04534 · pith_short_12: KUMO7PEMG57D · pith_short_16: KUMO7PEMG57DCU3W · pith_short_8: KUMO7PEM

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/KUMO7PEMG57DCU3WZ3ICKQ5Z4Q \
  | 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: 5518efbc8c377e315376ced02543b9e4134170ba5b249e1b1b00b88c4d8e785d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb31ca049448e5cf54b2c2b73d8bc58263af32dd6c79810a51e6c94bafd1075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-11T18:41:34Z",
    "title_canon_sha256": "586256f4b48ea60b9605efcfca72618cf69ff74a87c8646b445806a25203b6c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04534",
    "kind": "arxiv",
    "version": 1
  }
}