Pith Number

pith:PUOCU4VG

pith:2022:PUOCU4VGUZXI4KBW2MZD3PVTZL

not attested not anchored not stored refs pending

Tensor-on-Tensor Regression: Riemannian Optimization, Over-parameterization, Statistical-computational Gap, and Their Interplay

Anru R. Zhang, Yuetian Luo

arxiv:2206.08756 v3 · 2022-06-17 · math.ST · cs.LG · math.OC · stat.ME · 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{PUOCU4VGUZXI4KBW2MZD3PVTZL}

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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 Scalable Factorization Approach for High-Order Structured Tensor Recovery

Receipt and verification

First computed	2026-07-05T07:33:47.325279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1c2a72a6a66e8e2836d3323dbeb3cac15cf467d479cc91c1cba9762744631e

Aliases

arxiv: 2206.08756 · arxiv_version: 2206.08756v3 · doi: 10.48550/arxiv.2206.08756 · pith_short_12: PUOCU4VGUZXI · pith_short_16: PUOCU4VGUZXI4KBW · pith_short_8: PUOCU4VG

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/PUOCU4VGUZXI4KBW2MZD3PVTZL \
  | 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: 7d1c2a72a6a66e8e2836d3323dbeb3cac15cf467d479cc91c1cba9762744631e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b875e944ef271060d0da9636b69bcca758522bc59439a2e65520a2907bac8c",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-06-17T13:15:27Z",
    "title_canon_sha256": "e070153ea57aeffdc2ab820e80b7aa125d2fe08947aa1c309fe1d582d7003cba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.08756",
    "kind": "arxiv",
    "version": 3
  }
}