Pith Number

pith:FM36FEYF

pith:2025:FM36FEYFSY3MZIUSBKEGE5NLBT

not attested not anchored not stored refs pending

CLuP practically achieves $\sim 1.77$ positive and $\sim 0.33$ negative Hopfield model ground state free energy

Mihailo Stojnic

arxiv:2507.22396 v1 · 2025-07-30 · cond-mat.dis-nn · cs.IT · math.IT · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FM36FEYFSY3MZIUSBKEGE5NLBT}

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.

Cited by

1 paper in Pith

Ultrametric OGP - parametric RDT \emph{symmetric} binary perceptron connection

Receipt and verification

First computed	2026-07-05T11:45:41.212620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b37e293059636cca2920a886275ab0cff875d4f7ac2c10ea554d50c880f2141

Aliases

arxiv: 2507.22396 · arxiv_version: 2507.22396v1 · doi: 10.48550/arxiv.2507.22396 · pith_short_12: FM36FEYFSY3M · pith_short_16: FM36FEYFSY3MZIUS · pith_short_8: FM36FEYF

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/FM36FEYFSY3MZIUSBKEGE5NLBT \
  | 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: 2b37e293059636cca2920a886275ab0cff875d4f7ac2c10ea554d50c880f2141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7166f31981d35915370501d402137ecd87122337d001b1028f26240c336f84a8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2025-07-30T05:30:46Z",
    "title_canon_sha256": "d76371d5be3277f11accfc6df3ab928847073de6c9460ba13090e14c7746927b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22396",
    "kind": "arxiv",
    "version": 1
  }
}