Pith Number

pith:A4JQC7V5

pith:2021:A4JQC7V557EPAJXIS2YP5TDATD

not attested not anchored not stored refs pending

The Algorithmic Phase Transition of Random $k$-SAT for Low Degree Polynomials

Brice Huang, Guy Bresler

arxiv:2106.02129 v3 · 2021-06-03 · cs.CC · cs.DS · math-ph · math.MP · math.PR · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4JQC7V557EPAJXIS2YP5TDATD}

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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.

Cited by

1 paper in Pith

Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs

Receipt and verification

First computed	2026-07-05T03:27:32.070578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0713017ebdefc8f026e896b0fecc6098d8103f3d2a9843c76cad325e86954500

Aliases

arxiv: 2106.02129 · arxiv_version: 2106.02129v3 · doi: 10.48550/arxiv.2106.02129 · pith_short_12: A4JQC7V557EP · pith_short_16: A4JQC7V557EPAJXI · pith_short_8: A4JQC7V5

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/A4JQC7V557EPAJXIS2YP5TDATD \
  | 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: 0713017ebdefc8f026e896b0fecc6098d8103f3d2a9843c76cad325e86954500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0e298348246a59d0618c25b17b02ecee44674a3e9734ccb5d73d93e74b8f97",
    "cross_cats_sorted": [
      "cs.DS",
      "math-ph",
      "math.MP",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-06-03T21:01:02Z",
    "title_canon_sha256": "65f79d395d24a8245e7cd0abb362a7a41225734ea5a6b835ffffa80f7db8e723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02129",
    "kind": "arxiv",
    "version": 3
  }
}