Pith Number

pith:OSGEFRIC

pith:2024:OSGEFRICWILD2SUNJQNTC42GYN

not attested not anchored not stored refs pending

Low-Rank Learning by Design: the Role of Network Architecture and Activation Linearity in Gradient Rank Collapse

Barak A. Pearlmutter, Bradley T. Baker, Robyn Miller, Sergey M. Plis, Vince D. Calhoun

arxiv:2402.06751 v1 · 2024-02-09 · 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{OSGEFRICWILD2SUNJQNTC42GYN}

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	2026-07-05T07:43:37.946755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748c42c502b2163d4a8d4c1b317346c368ae8075fd428e607ace8dd81d6460d4

Aliases

arxiv: 2402.06751 · arxiv_version: 2402.06751v1 · doi: 10.48550/arxiv.2402.06751 · pith_short_12: OSGEFRICWILD · pith_short_16: OSGEFRICWILD2SUN · pith_short_8: OSGEFRIC

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/OSGEFRICWILD2SUNJQNTC42GYN \
  | 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: 748c42c502b2163d4a8d4c1b317346c368ae8075fd428e607ace8dd81d6460d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cfd56088ccb6a09d0a6fc6b750ec400d275fc45b39c031a6d323501525fceb4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-09T19:28:02Z",
    "title_canon_sha256": "a7e83bfa7842763c2dc5b4e7a97e040ae47d5ee8992421fbaf64d39de17bc9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.06751",
    "kind": "arxiv",
    "version": 1
  }
}