Pith Number

pith:O3N7ZQQ6

pith:2022:O3N7ZQQ6GIZ55AT25NWFDPX6QS

not attested not anchored not stored refs pending

Decomposition horizons and a characterization of stable hereditary classes of graphs

Jaroslav Ne\v{s}et\v{r}il, Patrice Ossona de Mendez, Samuel Braunfeld, Sebastian Siebertz

arxiv:2209.11229 v3 · 2022-09-15 · cs.DM · cs.LO · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3N7ZQQ6GIZ55AT25NWFDPX6QS}

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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.

Cited by

1 paper in Pith

Graph classes through the lens of logic

Receipt and verification

First computed	2026-07-05T09:52:55.756366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76dbfcc21e3233de827aeb6c51befe8483e48471b495cf10cf26e04930cc1d6c

Aliases

arxiv: 2209.11229 · arxiv_version: 2209.11229v3 · doi: 10.48550/arxiv.2209.11229 · pith_short_12: O3N7ZQQ6GIZ5 · pith_short_16: O3N7ZQQ6GIZ55AT2 · pith_short_8: O3N7ZQQ6

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/O3N7ZQQ6GIZ55AT25NWFDPX6QS \
  | 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: 76dbfcc21e3233de827aeb6c51befe8483e48471b495cf10cf26e04930cc1d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc980ae90418def9228503ffcede93768063acc8bd753ddb34f6a5b85fde8c7c",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2022-09-15T16:29:03Z",
    "title_canon_sha256": "8170e11cf384d6b71653de0c02f869379bea630226cad7e48960dcf518d4bef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.11229",
    "kind": "arxiv",
    "version": 3
  }
}