Pith Number

pith:NJSPULEZ

pith:2025:NJSPULEZAE5KSCIGK6CMAK23WC

not attested not anchored not stored refs pending

Phase transitions for the existence of unregularized M-estimators in single index models

Pierre C. Bellec, Takuya Koriyama

arxiv:2501.03163 v3 · 2025-01-06 · math.ST · 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{NJSPULEZAE5KSCIGK6CMAK23WC}

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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

A High-Dimensional Statistical Theory for Convex and Nonconvex Matrix Sensing

Receipt and verification

First computed	2026-07-05T11:09:06.116294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a64fa2c99013aa909065784c02b5bb0bec2f60effde78e51a886d9f49b95ba4

Aliases

arxiv: 2501.03163 · arxiv_version: 2501.03163v3 · doi: 10.48550/arxiv.2501.03163 · pith_short_12: NJSPULEZAE5K · pith_short_16: NJSPULEZAE5KSCIG · pith_short_8: NJSPULEZ

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/NJSPULEZAE5KSCIGK6CMAK23WC \
  | 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: 6a64fa2c99013aa909065784c02b5bb0bec2f60effde78e51a886d9f49b95ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ce8395421a1359bef81239ec72eea81725285bc2bbc224ce28a49c880302cc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-01-06T17:33:11Z",
    "title_canon_sha256": "e9465dececbb54a53a8f866d6b41cd7f78e7ed301b040e13192650df89a2676c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03163",
    "kind": "arxiv",
    "version": 3
  }
}