Pith Number

pith:6LOH657O

pith:2026:6LOH657OO7XRKD5MYYX4QQU22I

not attested not anchored not stored refs pending

Quantum-stabilized patterns in a vector Hopfield network

Ivar Martin, Kartiek Agarwal, Richard D. Barney, Sharba Bhattacharjee, Victor Galitski

arxiv:2606.06597 v1 · 2026-06-04 · quant-ph · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LOH657OO7XRKD5MYYX4QQU22I}

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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

High-Capacity Generalized Hopfield Networks

Receipt and verification

First computed	2026-06-08T00:03:46.591657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2dc7f77ee77ef150facc62fc8429ad22c9c19e25be7e3dad3314953486b4d69

Aliases

arxiv: 2606.06597 · arxiv_version: 2606.06597v1 · doi: 10.48550/arxiv.2606.06597 · pith_short_12: 6LOH657OO7XR · pith_short_16: 6LOH657OO7XRKD5M · pith_short_8: 6LOH657O

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/6LOH657OO7XRKD5MYYX4QQU22I \
  | 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: f2dc7f77ee77ef150facc62fc8429ad22c9c19e25be7e3dad3314953486b4d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a85e1ae94f978294038432d5804178a6bde9e407435d204c19f2bfeb187c48",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-04T18:00:06Z",
    "title_canon_sha256": "e86e9186ed90deee6e72bbbeaaae9bbd20c802c6c97b84e07249d7dea4b32e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06597",
    "kind": "arxiv",
    "version": 1
  }
}