Pith Number

pith:54O4PKZU

pith:2020:54O4PKZUD2J7VPFDHDNAEEDHJE

not attested not anchored not stored refs pending

Covering minimal separators and potential maximal cliques in $P_t$-free graphs

Andrzej Grzesik, Marcin Pilipczuk, Micha{\l} Pilipczuk, Tereza Klimo\v{s}ov\'a

arxiv:2003.12345 v1 · 2020-03-27 · 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{54O4PKZUD2J7VPFDHDNAEEDHJE}

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	2026-07-05T00:50:57.407463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1dc7ab341e93fabca338da021067493aa1f4d048f091366834bf959c904eb4

Aliases

arxiv: 2003.12345 · arxiv_version: 2003.12345v1 · doi: 10.48550/arxiv.2003.12345 · pith_short_12: 54O4PKZUD2J7 · pith_short_16: 54O4PKZUD2J7VPFD · pith_short_8: 54O4PKZU

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/54O4PKZUD2J7VPFDHDNAEEDHJE \
  | 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: ef1dc7ab341e93fabca338da021067493aa1f4d048f091366834bf959c904eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4a551e67a21b4546e37c088385b3b1503e30b19089c2399fbafb8ec7d8d019",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2020-03-27T11:54:41Z",
    "title_canon_sha256": "e3871aa29812769ddb309aed3c6357aefeeefe6169b6ab5874f1f4de830915ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12345",
    "kind": "arxiv",
    "version": 1
  }
}