Pith Number

pith:PORDWYME

pith:2026:PORDWYMEZIH7CZDUMPQ26G6TLK

not attested not anchored not stored refs pending

Cascading Through the Hierarchy: Regularizer-Induced Feature Detection as Phase Transitions in Deep Linear Neural Networks

Bj\"orn Ladewig, Ibrahim Talha Ersoy, Karoline Wiesner

arxiv:2608.06597 v1 · 2026-08-06 · cond-mat.stat-mech · cond-mat.dis-nn · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PORDWYMEZIH7CZDUMPQ26G6TLK}

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	2026-08-10T01:11:26.840433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba23b6184ca0ff1647463e1af1bd35a94b06d13c8aa243756745bdc5dc39c6b

Aliases

arxiv: 2608.06597 · arxiv_version: 2608.06597v1 · doi: 10.48550/arxiv.2608.06597 · pith_short_12: PORDWYMEZIH7 · pith_short_16: PORDWYMEZIH7CZDU · pith_short_8: PORDWYME

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/PORDWYMEZIH7CZDUMPQ26G6TLK \
  | 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: 7ba23b6184ca0ff1647463e1af1bd35a94b06d13c8aa243756745bdc5dc39c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d0adea8620ffe64ad6f309fe29f6abb6ac9c786217db3097d9d56b9b28383d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-06T21:15:32Z",
    "title_canon_sha256": "aff589f784bf6dfe0011f2ea6bef39787bf9946e410944eae09ef438b9a082f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06597",
    "kind": "arxiv",
    "version": 1
  }
}