Pith Number

pith:ICYQN2WZ

pith:2012:ICYQN2WZ77EGHBYLIGJUATE4AY

not attested not anchored not stored refs pending

Frozen variables in random boolean constraint satisfaction problems

Michael Molloy, Ricardo Restrepo

arxiv:1209.4829 v1 · 2012-09-21 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICYQN2WZ77EGHBYLIGJUATE4AY}

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	2026-05-18T03:45:01.683448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40b106ead9ffc863870b4193404c9c06126495f089bad42707c978c27db4c51f

Aliases

arxiv: 1209.4829 · arxiv_version: 1209.4829v1 · doi: 10.48550/arxiv.1209.4829 · pith_short_12: ICYQN2WZ77EG · pith_short_16: ICYQN2WZ77EGHBYL · pith_short_8: ICYQN2WZ

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/ICYQN2WZ77EGHBYLIGJUATE4AY \
  | 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: 40b106ead9ffc863870b4193404c9c06126495f089bad42707c978c27db4c51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830fe732840605af6b2909a8a5fbd05828b71b0f7b51690483f04ddd185ddc1e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-09-21T14:26:31Z",
    "title_canon_sha256": "dc5f0c969333da7b6907f8886b95d1a65cd8458a9ee360a1f580e73a6b2a0608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4829",
    "kind": "arxiv",
    "version": 1
  }
}