pith. sign in
Pith Number

pith:5WOA7YLD

pith:2007:5WOA7YLDK7WQATUTWBIDYL2ICR
not attested not anchored not stored refs pending

A Characterisation of First-Order Constraint Satisfaction Problems

Benoit Larose, Claude Tardif, Cynthia Loten

arxiv:0707.2562 v2 · 2007-07-17 · cs.LO · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5WOA7YLDK7WQATUTWBIDYL2ICR}

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 2026-05-18T01:37:42.691993Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed9c0fe16357ed004e93b0503c2f48145b1622a8c34c1d78e1a269bccc635561

Aliases

arxiv: 0707.2562 · arxiv_version: 0707.2562v2 · doi: 10.48550/arxiv.0707.2562 · pith_short_12: 5WOA7YLDK7WQ · pith_short_16: 5WOA7YLDK7WQATUT · pith_short_8: 5WOA7YLD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WOA7YLDK7WQATUTWBIDYL2ICR \
  | 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: ed9c0fe16357ed004e93b0503c2f48145b1622a8c34c1d78e1a269bccc635561
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "147371782d3e4cf809cbfd6e804b14520643ba0adec1f44d50fc04bd68b36617",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "cs.LO",
    "submitted_at": "2007-07-17T16:23:45Z",
    "title_canon_sha256": "1a0ace96246539b597be838ffa1840bb5ace304b8f8e8cd60d31d1affe395a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2562",
    "kind": "arxiv",
    "version": 2
  }
}