Pith Number

pith:6J2AWHHB

pith:2026:6J2AWHHBMW4SRPNB3SQLH4YAV5

not attested not anchored not stored refs pending

Beyond Fixed Points: Superpolynomial Capacity of Asymmetric Hopfield Networks

Aakash Kumar, Anatoly Khina, Emanuele Natale, Frederik Mallmann-Trenn

arxiv:2605.24611 v1 · 2026-05-23 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6J2AWHHBMW4SRPNB3SQLH4YAV5}

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	2026-05-26T01:03:48.873475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2740b1ce165b928bda1dca0b3f300af68ed1a1324d77e08e5ab6baffcbfd2ec

Aliases

arxiv: 2605.24611 · arxiv_version: 2605.24611v1 · doi: 10.48550/arxiv.2605.24611 · pith_short_12: 6J2AWHHBMW4S · pith_short_16: 6J2AWHHBMW4SRPNB · pith_short_8: 6J2AWHHB

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/6J2AWHHBMW4SRPNB3SQLH4YAV5 \
  | 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: f2740b1ce165b928bda1dca0b3f300af68ed1a1324d77e08e5ab6baffcbfd2ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96e394cbde03aafe5f75274b39ac5d20e4baf41fa79c693b7107b2309024e22",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-23T14:46:49Z",
    "title_canon_sha256": "2544470cf10afbe5ac5be00e7bef9e031cf07592babdffd26bfdd587c403fd0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24611",
    "kind": "arxiv",
    "version": 1
  }
}