Pith Number

pith:L5N4TR2L

pith:2023:L5N4TR2LPCO34M4GAHSELT5LMA

not attested not anchored not stored refs pending

On the hardness of inclusion-wise minimal separators enumeration

Caroline Brosse, Kazuhiro Kurita, Kunihiro Wasa, Oscar Defrain, Takeaki Uno, Vincent Limouzy

arxiv:2308.15444 v2 · 2023-08-29 · cs.DM · 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{L5N4TR2LPCO34M4GAHSELT5LMA}

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	2026-07-05T07:23:28.491909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5bc9c74b789dbe338601e445cfab60248382f1184594b91b3fe1443358e9ca

Aliases

arxiv: 2308.15444 · arxiv_version: 2308.15444v2 · doi: 10.48550/arxiv.2308.15444 · pith_short_12: L5N4TR2LPCO3 · pith_short_16: L5N4TR2LPCO34M4G · pith_short_8: L5N4TR2L

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/L5N4TR2LPCO34M4GAHSELT5LMA \
  | 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: 5f5bc9c74b789dbe338601e445cfab60248382f1184594b91b3fe1443358e9ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080f0976d18c551dcaf9bcf163d45abd838abf97155b06d5d554ffd707a7ce45",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2023-08-29T17:11:55Z",
    "title_canon_sha256": "bb46dd22414af763adc61abe7a954617bad4cafafbd09a60b66d68e3a3a1f0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15444",
    "kind": "arxiv",
    "version": 2
  }
}