Pith Number

pith:M344AYBG

pith:2026:M344AYBGGSIVKNUXNNRZVMW47P

not attested not anchored not stored refs pending

LeanCSP: A Framework for Certifying Constraint Reformulation and Solving in Lean

Pablo Manrique, Stefan Szeider

arxiv:2607.28459 v1 · 2026-07-30 · cs.AI · 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{M344AYBGGSIVKNUXNNRZVMW47P}

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	2026-07-31T01:37:40.986372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

66f9c0602634915536976b639ab2dcfbcceaabf4484229f6b7e8f99c62ac1462

Aliases

arxiv: 2607.28459 · arxiv_version: 2607.28459v1 · doi: 10.48550/arxiv.2607.28459 · pith_short_12: M344AYBGGSIV · pith_short_16: M344AYBGGSIVKNUX · pith_short_8: M344AYBG

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/M344AYBGGSIVKNUXNNRZVMW47P \
  | 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: 66f9c0602634915536976b639ab2dcfbcceaabf4484229f6b7e8f99c62ac1462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72af070e164e9563126bb30060d025a20a1d73160e5d3930307c9b7166cc1c2f",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-30T16:21:58Z",
    "title_canon_sha256": "e8c5854b9f0976c781ab25e97ac8aa265fcd763d992bf9b451784e53507fc41c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28459",
    "kind": "arxiv",
    "version": 1
  }
}