Pith Number

pith:UBV4YIOO

pith:2026:UBV4YIOO23RVOGTVDPJVWUDBZP

not attested not anchored not stored refs pending

High-Capacity Generalized Hopfield Networks

Victor Galitski

arxiv:2608.08226 v1 · 2026-08-08 · cond-mat.stat-mech · cs.CV · cs.NE · quant-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{UBV4YIOO23RVOGTVDPJVWUDBZP}

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	2026-08-11T01:22:03.912975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06bcc21ced6e3571a751bd35b5061cbe579da47b423c664ca2188459dce7438

Aliases

arxiv: 2608.08226 · arxiv_version: 2608.08226v1 · doi: 10.48550/arxiv.2608.08226 · pith_short_12: UBV4YIOO23RV · pith_short_16: UBV4YIOO23RVOGTV · pith_short_8: UBV4YIOO

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/UBV4YIOO23RVOGTVDPJVWUDBZP \
  | 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: a06bcc21ced6e3571a751bd35b5061cbe579da47b423c664ca2188459dce7438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afcb917d22c42bf852bb28d86cc2fd0edb112b67741b6faa64b28e4d22e5ec82",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.NE",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-08T16:45:21Z",
    "title_canon_sha256": "4287465954a6c1b3d2c432d3cf0f2a152a94657cea57768f64b3aff23505e4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08226",
    "kind": "arxiv",
    "version": 1
  }
}