Pith Number

pith:2TFLNPHF

pith:1998:2TFLNPHFQWHAGFVD6OZNF6BOR7

not attested not anchored not stored refs pending

Relaxation, closing probabilities and transition from oscillatory to chaotic attractors in asymmetric neural networks

Giorgio Parisi, Ugo Bastolla

arxiv:cond-mat/9803224 v1 · 1998-03-18 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TFLNPHFQWHAGFVD6OZNF6BOR7}

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	2026-07-04T16:07:40.670611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4cab6bce5858e0316a3f3b2d2f82e8feab2fe153cca3a277da074f24e847c6c

Aliases

arxiv: cond-mat/9803224 · arxiv_version: cond-mat/9803224v1 · doi: 10.48550/arxiv.cond-mat/9803224 · pith_short_12: 2TFLNPHFQWHA · pith_short_16: 2TFLNPHFQWHAGFVD · pith_short_8: 2TFLNPHF

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/2TFLNPHFQWHAGFVD6OZNF6BOR7 \
  | 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: d4cab6bce5858e0316a3f3b2d2f82e8feab2fe153cca3a277da074f24e847c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa53e0a572b0ab9162f8fc29e40d61fbe3c40d4b4c78b64eb729abe6294aeeea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1998-03-18T17:06:09Z",
    "title_canon_sha256": "b61b43fc7c1537789490a712d00ef1b56a8c92a39820127c313ceca261b3c8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9803224",
    "kind": "arxiv",
    "version": 1
  }
}