Pith Number

pith:G4HYH5EG

pith:2018:G4HYH5EG3KWZD3736YK2NATMPL

not attested not anchored not stored refs pending

Existential monadic second order logic of undirected graphs: a disproof of the Le Bars conjecture

Maksim Zhukovskii, Svetlana Popova

arxiv:1807.01794 v2 · 2018-07-04 · 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{G4HYH5EG3KWZD3736YK2NATMPL}

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	2026-05-17T23:59:32.444902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370f83f486daad91effbf615a6826c7ade1e0bdde090ce96bc6e67fc4042c772

Aliases

arxiv: 1807.01794 · arxiv_version: 1807.01794v2 · doi: 10.48550/arxiv.1807.01794 · pith_short_12: G4HYH5EG3KWZ · pith_short_16: G4HYH5EG3KWZD373 · pith_short_8: G4HYH5EG

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/G4HYH5EG3KWZD3736YK2NATMPL \
  | 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: 370f83f486daad91effbf615a6826c7ade1e0bdde090ce96bc6e67fc4042c772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b22e8cad17a3b30431e3573d9806af86fbefcaf7fdea8aa356e660ca5f3e4c",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-04T21:38:12Z",
    "title_canon_sha256": "0a54481d3e2f73a04ca59eed512364b0c74b6c60c63b7d217963d3e52784f9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01794",
    "kind": "arxiv",
    "version": 2
  }
}