Pith Number

pith:UKW7DKFM

pith:2011:UKW7DKFMK3H2RZO2V5QYDXWHVP

not attested not anchored not stored refs pending

Counting Solutions of Constraint Satisfiability Problems:Exact Phase Transitions and Approximate Algorithm

Minghao Yin, Ping Huang

arxiv:1102.4922 v1 · 2011-02-24 · cs.AI · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKW7DKFMK3H2RZO2V5QYDXWHVP}

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	2026-05-18T04:27:58.455381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2adf1a8ac56cfa8e5daaf6181dec7abd91f19e9b05f530dff0373d804b63472

Aliases

arxiv: 1102.4922 · arxiv_version: 1102.4922v1 · doi: 10.48550/arxiv.1102.4922 · pith_short_12: UKW7DKFMK3H2 · pith_short_16: UKW7DKFMK3H2RZO2 · pith_short_8: UKW7DKFM

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/UKW7DKFMK3H2RZO2V5QYDXWHVP \
  | 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: a2adf1a8ac56cfa8e5daaf6181dec7abd91f19e9b05f530dff0373d804b63472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec33cc7aa57b53f0647270540551b35cfdf69621e841a6b22d064745a422ba47",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2011-02-24T08:07:54Z",
    "title_canon_sha256": "1c8edca000515705a129f5d2ab879cc768857e236e192eacf8ab30e1e750c150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4922",
    "kind": "arxiv",
    "version": 1
  }
}