Pith Number

pith:EQ3L55KT

pith:2024:EQ3L55KTY2I3CXA5I2R5NHKWUF

not attested not anchored not stored refs pending

Provably Optimal Memory Capacity for Modern Hopfield Models: Transformer-Compatible Dense Associative Memories as Spherical Codes

Dennis Wu, Han Liu, Jerry Yao-Chieh Hu

arxiv:2410.23126 v2 · 2024-10-30 · stat.ML · cs.AI · cs.LG · 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{EQ3L55KTY2I3CXA5I2R5NHKWUF}

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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

ATLAS: Learning to Optimally Memorize the Context at Test Time

Receipt and verification

First computed	2026-07-05T09:29:35.379135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2436bef553c691b15c1d46a3d69d56a152d4990dd09029f57f94b3172fe23f95

Aliases

arxiv: 2410.23126 · arxiv_version: 2410.23126v2 · doi: 10.48550/arxiv.2410.23126 · pith_short_12: EQ3L55KTY2I3 · pith_short_16: EQ3L55KTY2I3CXA5 · pith_short_8: EQ3L55KT

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/EQ3L55KTY2I3CXA5I2R5NHKWUF \
  | 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: 2436bef553c691b15c1d46a3d69d56a152d4990dd09029f57f94b3172fe23f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8bcdbfc1ce8601ecc01df8cc6e3c84d5882e0a5affe86a391badee05fc56c6",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.NE"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-10-30T15:35:51Z",
    "title_canon_sha256": "25b6b5beabb5941f411f85aae15d364eedcee40972853fc8d44f4b41043f9ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.23126",
    "kind": "arxiv",
    "version": 2
  }
}