Pith Number

pith:LLHORFJF

pith:2025:LLHORFJFTBSUCFKHVNGCZ7J7Y4

not attested not anchored not stored refs pending

Perturbative Gradient Training: A novel training paradigm for bridging the gap between deep neural networks and physical reservoir computing

Cliff B. Abbott, Dmytro A. Bozhko, Mark Elo

arxiv:2506.04523 v1 · 2025-06-05 · cs.LG · cond-mat.mes-hall · cs.ET · cs.NE · physics.comp-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{LLHORFJFTBSUCFKHVNGCZ7J7Y4}

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	2026-07-05T11:16:15.891474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5acee895259865411547ab4c2cfd3fc73098b051d53361f914e1621214842409

Aliases

arxiv: 2506.04523 · arxiv_version: 2506.04523v1 · doi: 10.48550/arxiv.2506.04523 · pith_short_12: LLHORFJFTBSU · pith_short_16: LLHORFJFTBSUCFKH · pith_short_8: LLHORFJF

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/LLHORFJFTBSUCFKHVNGCZ7J7Y4 \
  | 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: 5acee895259865411547ab4c2cfd3fc73098b051d53361f914e1621214842409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316a4954fa8cbf594d87840e2c22b84710f4596942e7097c6a49d86acf7ad99c",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cs.ET",
      "cs.NE",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-05T00:06:30Z",
    "title_canon_sha256": "a4716111cad0c8d0186e482debbc16246062966b1d6dbcadc2554789a6bff07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04523",
    "kind": "arxiv",
    "version": 1
  }
}