Pith Number

pith:X6Y25RZO

pith:2026:X6Y25RZOAYIGMLI23J3GO4YDLA

not attested not anchored not stored refs pending

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

Lorenzo Livi

arxiv:2606.29519 v1 · 2026-06-28 · 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{X6Y25RZOAYIGMLI23J3GO4YDLA}

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	2026-06-30T01:18:10.062072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb1aec72e0610662d1ada7667730358015cf9e4c499ffd8331ab80c88d723d4

Aliases

arxiv: 2606.29519 · arxiv_version: 2606.29519v1 · doi: 10.48550/arxiv.2606.29519 · pith_short_12: X6Y25RZOAYIG · pith_short_16: X6Y25RZOAYIGMLI2 · pith_short_8: X6Y25RZO

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/X6Y25RZOAYIGMLI23J3GO4YDLA \
  | 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: bfb1aec72e0610662d1ada7667730358015cf9e4c499ffd8331ab80c88d723d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf8fa5dc7d96401d42ce096284f24002df9e3a8ed15f22b302032e66e1c0a62",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-28T17:30:36Z",
    "title_canon_sha256": "c4e1c462700ce295772707965698159b5af05d0c322c1e1830f099137f5a9751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29519",
    "kind": "arxiv",
    "version": 1
  }
}