Pith Number

pith:X4ONX5UF

pith:2025:X4ONX5UF3AWETT6DD5BCOQBTRT

not attested not anchored not stored refs pending

Learnability Window in Gated Recurrent Neural Networks

Lorenzo Livi

arxiv:2512.05790 v9 · 2025-12-05 · cs.LG · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4ONX5UF3AWETT6DD5BCOQBTRT}

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.

Cited by

1 paper in Pith

Anti-Collapse Dynamics and the Emergence of Multi-Time-Scale Learning in Recurrent Neural Networks

Receipt and verification

First computed	2026-07-16T01:21:43.421040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1cdbf685d82c49cfc31f422740338ce376639e17bc9ab5557ad0ca5d24a86a

Aliases

arxiv: 2512.05790 · arxiv_version: 2512.05790v9 · doi: 10.48550/arxiv.2512.05790 · pith_short_12: X4ONX5UF3AWE · pith_short_16: X4ONX5UF3AWETT6D · pith_short_8: X4ONX5UF

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/X4ONX5UF3AWETT6DD5BCOQBTRT \
  | 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: bf1cdbf685d82c49cfc31f422740338ce376639e17bc9ab5557ad0ca5d24a86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a6fc96ffc0e16be56131c2f464888121d5ff7dc2e9cefbf4a4120756818694",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-05T15:16:59Z",
    "title_canon_sha256": "23d8b18ad2bf0b5778a4b38e979d06ef55b1785c23d646f56758dd8915b56af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.05790",
    "kind": "arxiv",
    "version": 9
  }
}