Pith Number

pith:GCPXOVWT

pith:2003:GCPXOVWTN3SPQBYS6SSJ4GNWFL

not attested not anchored not stored refs pending

Threshold values of Random K-SAT from the cavity method

Marc Mezard, Riccardo Zecchina, Stephan Mertens

arxiv:cs/0309020 v2 · 2003-09-12 · cs.CC · cond-mat.dis-nn · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCPXOVWTN3SPQBYS6SSJ4GNWFL}

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	2026-07-04T14:24:36.823696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309f7756d36ee4f80712f4a49e19b62ae4e27eb1aceb5717446f6ac4be8e1ffb

Aliases

arxiv: cs/0309020 · arxiv_version: cs/0309020v2 · doi: 10.48550/arxiv.cs/0309020 · pith_short_12: GCPXOVWTN3SP · pith_short_16: GCPXOVWTN3SPQBYS · pith_short_8: GCPXOVWT

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/GCPXOVWTN3SPQBYS6SSJ4GNWFL \
  | 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: 309f7756d36ee4f80712f4a49e19b62ae4e27eb1aceb5717446f6ac4be8e1ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03480d0c185cb1740b0f303c14d852e99802482fa0d9c407adeb87fbee1f208",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2003-09-12T19:59:10Z",
    "title_canon_sha256": "6fad93cdf96ec7be8e2a581e14b485bd03a964f180449b39f9b3dcdaa76ba444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0309020",
    "kind": "arxiv",
    "version": 2
  }
}