Pith Number

pith:FUKOMVTD

pith:2003:FUKOMVTDHBPD2FF2MAQSTDR6N5

not attested not anchored not stored refs pending

The Threshold for Random k-SAT is 2^k ln2 - O(k)

Dimitris Achlioptas, Yuval Peres

arxiv:cs/0305009 v2 · 2003-05-14 · cs.CC · cond-mat.stat-mech · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUKOMVTDHBPD2FF2MAQSTDR6N5}

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.

Cited by

1 paper in Pith

Planted-solution SAT and Ising benchmarks from integer factorization

Receipt and verification

First computed	2026-07-04T14:24:31.868532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d14e65663385e3d14ba6021298e3e6f59b2fc875b2d130619bfdec774dadd47

Aliases

arxiv: cs/0305009 · arxiv_version: cs/0305009v2 · doi: 10.48550/arxiv.cs/0305009 · pith_short_12: FUKOMVTDHBPD · pith_short_16: FUKOMVTDHBPD2FF2 · pith_short_8: FUKOMVTD

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/FUKOMVTDHBPD2FF2MAQSTDR6N5 \
  | 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: 2d14e65663385e3d14ba6021298e3e6f59b2fc875b2d130619bfdec774dadd47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ced757f26c939118b630bf5374381ee96ed58246a89819f9b3e3dc6b20fd56",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.DM",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2003-05-14T01:30:10Z",
    "title_canon_sha256": "f23a8eaa5cdce2974e49ed929338bd4937769f34e5512802d45bc797ae57927b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0305009",
    "kind": "arxiv",
    "version": 2
  }
}