Pith Number

pith:LZOPWNYY

pith:2009:LZOPWNYYK56HF7XQT3O46KFVOE

not attested not anchored not stored refs pending

The replica symmetric behavior of the analogical neural network

Adriano Barra, Francesco Guerra, Giuseppe Genovese

arxiv:0911.3096 v1 · 2009-11-16 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZOPWNYYK56HF7XQT3O46KFVOE}

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	2026-05-18T02:10:47.160498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5cfb3718577c72fef09eddcf28b5711db63eb8d605df2e3f67281880526591

Aliases

arxiv: 0911.3096 · arxiv_version: 0911.3096v1 · doi: 10.48550/arxiv.0911.3096 · pith_short_12: LZOPWNYYK56H · pith_short_16: LZOPWNYYK56HF7XQ · pith_short_8: LZOPWNYY

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/LZOPWNYYK56HF7XQT3O46KFVOE \
  | 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: 5e5cfb3718577c72fef09eddcf28b5711db63eb8d605df2e3f67281880526591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad46bed3a706a9623825fccf1e7abf7f363ad64157c6e004985231c54ed4e9a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2009-11-16T17:47:14Z",
    "title_canon_sha256": "ae05957542622a63d68fa1eb0a25bf89b2eae0c485202e28694cc227b259eba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3096",
    "kind": "arxiv",
    "version": 1
  }
}