Pith Number

pith:GN7WR4UI

pith:2018:GN7WR4UI3YXFQOLR4A3IHQSSAZ

not attested not anchored not stored refs pending

First-order interpretations of bounded expansion classes

Jakub Gajarsk\'y, Jaroslav Ne\v{s}et\v{r}il, Micha{\l} Pilipczuk, Patrice Ossona de Mendez, Sebastian Siebertz, Stephan Kreutzer, Szymon Toru\'nczyk

arxiv:1810.02389 v1 · 2018-10-04 · 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{GN7WR4UI3YXFQOLR4A3IHQSSAZ}

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	2026-05-18T00:04:02.027835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

337f68f288de2e583971e03683c252064d3e4f7b5d8245d8638b4dd6d44e827a

Aliases

arxiv: 1810.02389 · arxiv_version: 1810.02389v1 · doi: 10.48550/arxiv.1810.02389 · pith_short_12: GN7WR4UI3YXF · pith_short_16: GN7WR4UI3YXFQOLR · pith_short_8: GN7WR4UI

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/GN7WR4UI3YXFQOLR4A3IHQSSAZ \
  | 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: 337f68f288de2e583971e03683c252064d3e4f7b5d8245d8638b4dd6d44e827a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c0129287b48eb6bf4e652f10ef8c57cc515d5f24e37d14550223841298a064",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-10-04T18:40:46Z",
    "title_canon_sha256": "8ae7505b3138d93508cf20770981cd9a0c5df2ba46bbe26df6abb70f39b99dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02389",
    "kind": "arxiv",
    "version": 1
  }
}