Pith Number

pith:2YRGXD2F

pith:2006:2YRGXD2F5YHM2W2TOOUJR2A74Y

not attested not anchored not stored refs pending

Can rare SAT formulas be easily recognized? On the efficiency of message passing algorithms for K-SAT at large clause-to-variable ratios

Fabrizio Altarelli, Francesco Zamponi, Remi Monasson

arxiv:cs/0609101 v2 · 2006-09-18 · cs.CC · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YRGXD2F5YHM2W2TOOUJR2A74Y}

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	2026-05-18T01:39:25.117817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6226b8f45ee0ecd5b5373a898e81fe60b7667943700891679d8f032029eff0e

Aliases

arxiv: cs/0609101 · arxiv_version: cs/0609101v2 · doi: 10.48550/arxiv.cs/0609101 · pith_short_12: 2YRGXD2F5YHM · pith_short_16: 2YRGXD2F5YHM2W2T · pith_short_8: 2YRGXD2F

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/2YRGXD2F5YHM2W2TOOUJR2A74Y \
  | 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: d6226b8f45ee0ecd5b5373a898e81fe60b7667943700891679d8f032029eff0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d048087e6741146eb1fb9404fbaef36a901b4a9f3c70f1c0fd1b1ab8abe67a7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2006-09-18T08:38:16Z",
    "title_canon_sha256": "694bff91bc1cf2172101011bb255f2b80d75e6776b4fb39cced2ff7c02b596b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0609101",
    "kind": "arxiv",
    "version": 2
  }
}