Pith Number

pith:KR4PFOMF

pith:2026:KR4PFOMFP6OWJI6245WAE34IRF

not attested not anchored not stored refs pending

Dynamics and Representation Structure of Local Approximations to Gradient-Based Learning in Linear Recurrent Neural Networks

Alexandre Payeur, Ezekiel Williams, Guillaume Lajoie

arxiv:2606.00243 v1 · 2026-05-29 · cs.NE · q-bio.NC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KR4PFOMFP6OWJI6245WAE34IRF}

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	2026-06-02T01:03:22.581668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5478f2b9857f9d64a3dae76c026f88894c2417370a5b6831ce3b2f5b0ec9e013

Aliases

arxiv: 2606.00243 · arxiv_version: 2606.00243v1 · doi: 10.48550/arxiv.2606.00243 · pith_short_12: KR4PFOMFP6OW · pith_short_16: KR4PFOMFP6OWJI62 · pith_short_8: KR4PFOMF

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/KR4PFOMFP6OWJI6245WAE34IRF \
  | 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: 5478f2b9857f9d64a3dae76c026f88894c2417370a5b6831ce3b2f5b0ec9e013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfbcf05a06ab06f56176a5f18fa0a18bc2de98344f8d9387808a6f6bac9ccf6f",
    "cross_cats_sorted": [
      "q-bio.NC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2026-05-29T18:19:45Z",
    "title_canon_sha256": "72801bb2768bcd070b407e7a82ad02b78fdf6ef7117bbf233f77780a7e22508a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00243",
    "kind": "arxiv",
    "version": 1
  }
}