Pith Number

pith:Y3BKRTTX

pith:2018:Y3BKRTTXXOLHMTVC5AUCIYTSOU

not attested not anchored not stored refs pending

On the number of limit cycles in asymmetric neural networks

Enrico Lanza, Francesco Zamponi, Giancarlo Ruocco, Giorgio Parisi, Sungmin Hwang, Viola Folli

arxiv:1810.09325 v3 · 2018-10-22 · 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{Y3BKRTTXXOLHMTVC5AUCIYTSOU}

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	2026-05-17T23:46:29.684888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c2a8ce77bb96764ea2e8282462727510ee9341387a159e19fed0515bef2f5f

Aliases

arxiv: 1810.09325 · arxiv_version: 1810.09325v3 · doi: 10.48550/arxiv.1810.09325 · pith_short_12: Y3BKRTTXXOLH · pith_short_16: Y3BKRTTXXOLHMTVC · pith_short_8: Y3BKRTTX

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/Y3BKRTTXXOLHMTVC5AUCIYTSOU \
  | 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: c6c2a8ce77bb96764ea2e8282462727510ee9341387a159e19fed0515bef2f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f837ad638760718c7ce745edbc3e379b64f990f2224c371bee43d1bbf27c8060",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2018-10-22T14:46:07Z",
    "title_canon_sha256": "a6e91e634dee74b82825e624dee60da0839951060ac4adc1ef272255fb5fc19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09325",
    "kind": "arxiv",
    "version": 3
  }
}