Pith Number

pith:CJJI4ASG

pith:2012:CJJI4ASGSHX3SATMI2UCMSMQYD

not attested not anchored not stored refs pending

Storing cycles in Hopfield-type networks with pseudoinverse learning rule: admissibility and network topology

Chuan Zhang, Gerhard Dangelmayr, Iuliana Oprea

arxiv:1211.4520 v2 · 2012-11-19 · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJJI4ASGSHX3SATMI2UCMSMQYD}

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	2026-05-18T03:15:18.578150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12528e024691efb9026c46a8264990c0d2a07b1cd8c050e1df533da408628251

Aliases

arxiv: 1211.4520 · arxiv_version: 1211.4520v2 · doi: 10.48550/arxiv.1211.4520 · pith_short_12: CJJI4ASGSHX3 · pith_short_16: CJJI4ASGSHX3SATM · pith_short_8: CJJI4ASG

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/CJJI4ASGSHX3SATMI2UCMSMQYD \
  | 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: 12528e024691efb9026c46a8264990c0d2a07b1cd8c050e1df533da408628251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "518455336b421eb80392586c113966059e6773f2d398215c5c6ec9ede9e19c0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2012-11-19T17:45:25Z",
    "title_canon_sha256": "23b09b3e104fe1c9bb31249b80192442eaf610354c949e5848df743c7c9895c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4520",
    "kind": "arxiv",
    "version": 2
  }
}