Pith Number

pith:5ECTW4IX

pith:2016:5ECTW4IXGYPGVRL7EQ5NV6FVDF

not attested not anchored not stored refs pending

Dense Associative Memory for Pattern Recognition

Dmitry Krotov, John J Hopfield

arxiv:1606.01164 v2 · 2016-06-03 · cs.NE · cond-mat.dis-nn · cs.LG · q-bio.NC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ECTW4IXGYPGVRL7EQ5NV6FVDF}

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.

Cited by

1 paper in Pith

Sharp Capacity Thresholds in Linear Associative Memory: From Winner-Take-All to Listwise Retrieval

Receipt and verification

First computed	2026-05-18T00:47:59.002110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9053b7117361e6ac57f243adaf8b519779e74eaef0af2fe203341969a6aa846

Aliases

arxiv: 1606.01164 · arxiv_version: 1606.01164v2 · doi: 10.48550/arxiv.1606.01164 · pith_short_12: 5ECTW4IXGYPG · pith_short_16: 5ECTW4IXGYPGVRL7 · pith_short_8: 5ECTW4IX

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/5ECTW4IXGYPGVRL7EQ5NV6FVDF \
  | 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: e9053b7117361e6ac57f243adaf8b519779e74eaef0af2fe203341969a6aa846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d417f9c438b5e69998d8b0db596a1311831842b852594f2ae881669aa83e7dc",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG",
      "q-bio.NC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2016-06-03T16:17:01Z",
    "title_canon_sha256": "140c767e11cbad4f0866cb50e4e13f4a3aa8806e3d7207cb48bb2f97fc17757b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01164",
    "kind": "arxiv",
    "version": 2
  }
}