Pith Number

pith:LKJEGUJC

pith:2026:LKJEGUJCFQTIY7FDCP6LY3FDSZ

not attested not anchored not stored refs pending

Complexity of Clique-Guarded First-Order Logic with Counting

Johannes Friedrich Lange, Nicole Schweikardt, Steffen van Bergerem

arxiv:2606.24848 v1 · 2026-06-23 · cs.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{LKJEGUJCFQTIY7FDCP6LY3FDSZ}

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	2026-06-24T01:15:43.810331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a924351222c268c7ca313fcbc6ca39651c9d7886ef257a887f9f14ab5877afb

Aliases

arxiv: 2606.24848 · arxiv_version: 2606.24848v1 · doi: 10.48550/arxiv.2606.24848 · pith_short_12: LKJEGUJCFQTI · pith_short_16: LKJEGUJCFQTIY7FD · pith_short_8: LKJEGUJC

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/LKJEGUJCFQTIY7FDCP6LY3FDSZ \
  | 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: 5a924351222c268c7ca313fcbc6ca39651c9d7886ef257a887f9f14ab5877afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c16e886141001591f0c383bc6f349a08af4901bccc0bfae46de80f1a7cb9e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-06-23T17:27:16Z",
    "title_canon_sha256": "fd16831f0287010dca359ebaf2acefbc90576135049d1b0c2fbdc60e088e3ec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24848",
    "kind": "arxiv",
    "version": 1
  }
}