Pith Number

pith:NG4GK6DR

pith:2026:NG4GK6DRXK66GW5ZCFDQBZHQVL

not attested not anchored not stored refs pending

High-dimensional Limit of SGD for Diagonal Linear Networks

Bego\~na Garc\'ia Malaxechebarr\'ia, Courtney Paquette, Dmitriy Drusvyatskiy, Maryam Fazel

arxiv:2605.17177 v1 · 2026-05-16 · math.OC · cs.LG · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG4GK6DRXK66GW5ZCFDQBZHQVL}

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	2026-05-20T00:03:43.550125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b8657871babde35bb9114700e4f0aae198fac140dd54e3d3c7bbb0298cd9d5

Aliases

arxiv: 2605.17177 · arxiv_version: 2605.17177v1 · doi: 10.48550/arxiv.2605.17177 · pith_short_12: NG4GK6DRXK66 · pith_short_16: NG4GK6DRXK66GW5Z · pith_short_8: NG4GK6DR

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/NG4GK6DRXK66GW5ZCFDQBZHQVL \
  | 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: 69b8657871babde35bb9114700e4f0aae198fac140dd54e3d3c7bbb0298cd9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c7ff66b1d8a27606f3dfb1a7ad217b7ac691f4ce71dad95ed7d56441dede55",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-16T22:26:59Z",
    "title_canon_sha256": "93aa799febde20690066354a2c0a4ec758b3eea0f6bdf57753bc2b54149b6738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17177",
    "kind": "arxiv",
    "version": 1
  }
}