Pith Number

pith:Z4ZO2CJ6

pith:2012:Z4ZO2CJ6H72J4A5Z6NFPWGNRUA

not attested not anchored not stored refs pending

Phase Transition of Tractability in Constraint Satisfaction and Bayesian Network Inference

Yong Gao

arxiv:1212.2485 v1 · 2012-10-19 · cs.AI · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4ZO2CJ6H72J4A5Z6NFPWGNRUA}

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	2026-05-18T03:38:44.635661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf32ed093e3ff49e03b9f34afb19b1a010dd0c9d0493fbf53f1c27ad9063dc50

Aliases

arxiv: 1212.2485 · arxiv_version: 1212.2485v1 · doi: 10.48550/arxiv.1212.2485 · pith_short_12: Z4ZO2CJ6H72J · pith_short_16: Z4ZO2CJ6H72J4A5Z · pith_short_8: Z4ZO2CJ6

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/Z4ZO2CJ6H72J4A5Z6NFPWGNRUA \
  | 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: cf32ed093e3ff49e03b9f34afb19b1a010dd0c9d0493fbf53f1c27ad9063dc50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411ff16fcea27a272fe1fa10357827dc2a8cd1e846c32a08d4ca22db7dda8f61",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2012-10-19T15:05:37Z",
    "title_canon_sha256": "daf0a1ebe021e1ee7f1956a2636a70753ac6e06a573b469fef6a72a17b69f59a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2485",
    "kind": "arxiv",
    "version": 1
  }
}