Pith Number

pith:TMXOU5FL

pith:2013:TMXOU5FLPF24IX3EQNYHUQ233N

not attested not anchored not stored refs pending

Hanson-Wright inequality and sub-gaussian concentration

Mark Rudelson, Roman Vershynin

arxiv:1306.2872 v3 · 2013-06-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMXOU5FLPF24IX3EQNYHUQ233N}

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.

Cited by

3 papers in Pith

Provable Non-Convex Euclidean Distance Matrix Completion: Geometry, Reconstruction, and Robustness

Shrinkage to Infinity: Reducing Test Error by Inflating the Minimum Norm Interpolator in Linear Models

Dimension-Free Saddle-Point Escape in Muon

Receipt and verification

First computed	2026-05-18T03:11:46.479813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2eea74ab7975c45f6483707a435bdb6e5706e0aeb04274f7e02af93444c8a9

Aliases

arxiv: 1306.2872 · arxiv_version: 1306.2872v3 · doi: 10.48550/arxiv.1306.2872 · pith_short_12: TMXOU5FLPF24 · pith_short_16: TMXOU5FLPF24IX3E · pith_short_8: TMXOU5FL

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/TMXOU5FLPF24IX3EQNYHUQ233N \
  | 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: 9b2eea74ab7975c45f6483707a435bdb6e5706e0aeb04274f7e02af93444c8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c812a89dc5216c0b6651e588b7713a675bd6d9e0cb65f7223a4cd9b614258d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-12T15:54:52Z",
    "title_canon_sha256": "b79f589d6747424bd235c09853adfe880e03d46e9ec7e85da4473886687cf28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2872",
    "kind": "arxiv",
    "version": 3
  }
}