Pith Number

pith:VNGVPRYK

pith:2013:VNGVPRYKMW4SWRROFVJ7NM5O5D

not attested not anchored not stored refs pending

On the replica symmetric solution of the K-sat model

Dmitry Panchenko

arxiv:1304.6052 v1 · 2013-04-22 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNGVPRYKMW4SWRROFVJ7NM5O5D}

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	2026-05-18T02:45:29.008237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4d57c70a65b92b462e2d53f6b3aee8c48ec9b38143bed57afa484b30bec264

Aliases

arxiv: 1304.6052 · arxiv_version: 1304.6052v1 · doi: 10.48550/arxiv.1304.6052 · pith_short_12: VNGVPRYKMW4S · pith_short_16: VNGVPRYKMW4SWRRO · pith_short_8: VNGVPRYK

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/VNGVPRYKMW4SWRROFVJ7NM5O5D \
  | 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: ab4d57c70a65b92b462e2d53f6b3aee8c48ec9b38143bed57afa484b30bec264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f7ed3cc9c9e93a91c0f8948b703e341832cdb8d1e59472685d44bd5164c7da",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-22T18:39:12Z",
    "title_canon_sha256": "487bbc44e9e05e43b52360004a58d3a18df19948ea9b0c577d6144f85b13ce7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6052",
    "kind": "arxiv",
    "version": 1
  }
}