pith. sign in
Pith Number

pith:4RYMINI3

pith:2016:4RYMINI3SSAOYZWOKYSEK5N2L5
not attested not anchored not stored refs pending

Order-to-chaos transition in the hardness of random Boolean satisfiability problems

M\'aria Ercsey-Ravasz, Melinda Varga, R\'obert Sumi, Zolt\'an Toroczkai

arxiv:1602.05152 v2 · 2016-02-16 · cs.CC · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4RYMINI3SSAOYZWOKYSEK5N2L5}

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 2026-05-18T01:16:34.650410Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e470c4351b9480ec66ce56244575ba5f4a1d47490736663f91bd203fb9cf88db

Aliases

arxiv: 1602.05152 · arxiv_version: 1602.05152v2 · doi: 10.48550/arxiv.1602.05152 · pith_short_12: 4RYMINI3SSAO · pith_short_16: 4RYMINI3SSAOYZWO · pith_short_8: 4RYMINI3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4RYMINI3SSAOYZWOKYSEK5N2L5 \
  | 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: e470c4351b9480ec66ce56244575ba5f4a1d47490736663f91bd203fb9cf88db
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a520e8962963d2b29b2af732f4a52884facbb74a1f799b5ee3d65c3ccbee092b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-02-16T19:50:30Z",
    "title_canon_sha256": "af4b9a09c42ec2804cdcfd525995b90b382bbedc3294b25a986dfcf56f487db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05152",
    "kind": "arxiv",
    "version": 2
  }
}