Pith Number

pith:JA6QPW55

pith:2025:JA6QPW55O6IC2S4ILSSLNLFVA7

not attested not anchored not stored refs pending

Redundancy Maximization as a Principle of Associative Memory Learning in Hopfield Networks

Abdullah Makkeh, Andreas C. Schneider, David A. Ehrlich, Marcel Graetz, Mark Bl\"umel, Michael Wibral, Valentin Neuhaus, Viola Priesemann

arxiv:2511.02584 v2 · 2025-11-04 · cs.IT · cs.LG · cs.NE · math.IT · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JA6QPW55O6IC2S4ILSSLNLFVA7}

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	2026-07-14T02:21:24.540590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

483d07dbbd77902d4b885ca4b6acb507d4cef5c24243a219541b3e70deb8d9d5

Aliases

arxiv: 2511.02584 · arxiv_version: 2511.02584v2 · doi: 10.48550/arxiv.2511.02584 · pith_short_12: JA6QPW55O6IC · pith_short_16: JA6QPW55O6IC2S4I · pith_short_8: JA6QPW55

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/JA6QPW55O6IC2S4ILSSLNLFVA7 \
  | 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: 483d07dbbd77902d4b885ca4b6acb507d4cef5c24243a219541b3e70deb8d9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013a17681d772ef01696356e275e8f367873894fba9e2a131ca5743456e3c585",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE",
      "math.IT",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-11-04T14:01:36Z",
    "title_canon_sha256": "49b6fbebd071a81442cb9f6742d95d2020e6f2f5387f307820920def0474c3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.02584",
    "kind": "arxiv",
    "version": 2
  }
}