Pith Number

pith:TQZMBYKX

pith:2012:TQZMBYKX24YIUXHNIDCGOEND4N

not attested not anchored not stored refs pending

The Satisfiability Threshold for a Seemingly Intractable Random Constraint Satisfaction Problem

Harold Connamacher, Michael Molloy

arxiv:1202.0042 v3 · 2012-01-31 · 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{TQZMBYKX24YIUXHNIDCGOEND4N}

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	2026-05-18T04:03:08.703429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c32c0e157d7308a5ced40c46711a3e364be1929df6098aec2ffc5c26e26f9b7

Aliases

arxiv: 1202.0042 · arxiv_version: 1202.0042v3 · doi: 10.48550/arxiv.1202.0042 · pith_short_12: TQZMBYKX24YI · pith_short_16: TQZMBYKX24YIUXHN · pith_short_8: TQZMBYKX

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/TQZMBYKX24YIUXHNIDCGOEND4N \
  | 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: 9c32c0e157d7308a5ced40c46711a3e364be1929df6098aec2ffc5c26e26f9b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "417ea41e24c47f3169f81e6ce0124cfb6788cab37d10ba79c5e93cb513a28dab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-01-31T22:13:48Z",
    "title_canon_sha256": "079f008acbca8af79ed3440026be9830b9154b72e8ecbecadfa17d468bd70a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0042",
    "kind": "arxiv",
    "version": 3
  }
}