Pith Number

pith:AM6QWPS6

pith:2018:AM6QWPS65YW4A5OOU7PRKIHVRA

not attested not anchored not stored refs pending

Parameterized circuit complexity of model checking first-order logic on sparse structures

Micha{\l} Pilipczuk, Sebastian Siebertz, Szymon Toru\'nczyk

arxiv:1805.03488 v1 · 2018-05-09 · cs.DM · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AM6QWPS65YW4A5OOU7PRKIHVRA}

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	2026-05-18T00:16:20.095507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033d0b3e5eee2dc075cea7df1520f5881d7ed44871ec4964e58b46830d01f96a

Aliases

arxiv: 1805.03488 · arxiv_version: 1805.03488v1 · doi: 10.48550/arxiv.1805.03488 · pith_short_12: AM6QWPS65YW4 · pith_short_16: AM6QWPS65YW4A5OO · pith_short_8: AM6QWPS6

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/AM6QWPS65YW4A5OOU7PRKIHVRA \
  | 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: 033d0b3e5eee2dc075cea7df1520f5881d7ed44871ec4964e58b46830d01f96a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2485695f622f812821f062d096245061e8812d20a7a30397341988070bee8e00",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-05-09T12:49:23Z",
    "title_canon_sha256": "656faba881da7f559b3604c8558129569c4e2bc656d714d15a673bb72a2a6cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03488",
    "kind": "arxiv",
    "version": 1
  }
}