Pith Number

pith:FCVUWG67

pith:2025:FCVUWG6762BMZNUHKYJZWITIOU

not attested not anchored not stored refs pending

The Network Satisfaction Problem for Relation Algebras with at most 4 Atoms

Manuel Bodirsky, Mat\v{e}j Kone\v{c}n\'y, Moritz Jahn, Paul Winkler, Simon Kn\"auer

arxiv:2507.09324 v2 · 2025-07-12 · math.RA · cs.CC · 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{FCVUWG6762BMZNUHKYJZWITIOU}

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	2026-06-19T16:12:14.215442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ab4b1bdff682ccb68756139b2268753c5771ee1b41fd51324df45b2b407bdc

Aliases

arxiv: 2507.09324 · arxiv_version: 2507.09324v2 · doi: 10.48550/arxiv.2507.09324 · pith_short_12: FCVUWG6762BM · pith_short_16: FCVUWG6762BMZNUH · pith_short_8: FCVUWG67

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/FCVUWG6762BMZNUHKYJZWITIOU \
  | 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: 28ab4b1bdff682ccb68756139b2268753c5771ee1b41fd51324df45b2b407bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7176e15e9bca2ee9969f35dd7b81d2e888707e90843993d1890053991d3ce4",
    "cross_cats_sorted": [
      "cs.CC",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-07-12T15:48:27Z",
    "title_canon_sha256": "8cd534558aba23e653568a969ac6b659c81137d6804b0efe62b86fcb34606ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09324",
    "kind": "arxiv",
    "version": 2
  }
}