Pith Number

pith:MHT5KTNJ

pith:2013:MHT5KTNJMJBT2JWZOOXETHJLI5

not attested not anchored not stored refs pending

On the Complexity of Random Satisfiability Problems with Planted Solutions

Santosh Vempala, Vitaly Feldman, Will Perkins

arxiv:1311.4821 v8 · 2013-11-19 · cs.CC · cs.DM · cs.DS · math.CO · 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{MHT5KTNJMJBT2JWZOOXETHJLI5}

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	2026-05-18T00:21:55.338565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e7d54da962433d26d973ae499d2b475ced74762ec437ae647aad1f9d18f0d7

Aliases

arxiv: 1311.4821 · arxiv_version: 1311.4821v8 · doi: 10.48550/arxiv.1311.4821 · pith_short_12: MHT5KTNJMJBT · pith_short_16: MHT5KTNJMJBT2JWZ · pith_short_8: MHT5KTNJ

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/MHT5KTNJMJBT2JWZOOXETHJLI5 \
  | 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: 61e7d54da962433d26d973ae499d2b475ced74762ec437ae647aad1f9d18f0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a48b6ccb85b086b08f909024080890aeeb5a1c89e8171f4b18146156321dbba4",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-11-19T18:13:32Z",
    "title_canon_sha256": "82dab30ec6f39addee891a9bfd19148bff1b1e27f73ab1da45f17ae407e3d7ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4821",
    "kind": "arxiv",
    "version": 8
  }
}