Pith Number

pith:XEJKTE2D

pith:2006:XEJKTE2DBA6K4NZXN7QM3SEFPD

not attested not anchored not stored refs pending

Geometrical organization of solutions to random linear Boolean equations

Marc M\'ezard (LPTMS), Thierry Mora (LPTMS)

arxiv:cond-mat/0609099 v1 · 2006-09-05 · cond-mat.dis-nn · 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{XEJKTE2DBA6K4NZXN7QM3SEFPD}

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	2026-05-18T01:08:55.531669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b912a99343083cae37376fe0cdc88578ffc74574db43a893df1b2ef4d11469cc

Aliases

arxiv: cond-mat/0609099 · arxiv_version: cond-mat/0609099v1 · doi: 10.48550/arxiv.cond-mat/0609099 · pith_short_12: XEJKTE2DBA6K · pith_short_16: XEJKTE2DBA6K4NZX · pith_short_8: XEJKTE2D

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/XEJKTE2DBA6K4NZXN7QM3SEFPD \
  | 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: b912a99343083cae37376fe0cdc88578ffc74574db43a893df1b2ef4d11469cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0085ec4f8855434a38feabe6f7192e2fefe1223b3fc5262f1974f48a57b7e35f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2006-09-05T16:44:18Z",
    "title_canon_sha256": "bd22c0d007806a7206f09bebc0bcb7c26c37c2d919634a646ca85d109df776c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0609099",
    "kind": "arxiv",
    "version": 1
  }
}