Pith Number

pith:VBJPSB7L

pith:2013:VBJPSB7LRRAOHT7FUPWHXKEPNM

not attested not anchored not stored refs pending

Deriving Matrix Concentration Inequalities from Kernel Couplings

Daniel Paulin, Joel A. Tropp, Lester Mackey

arxiv:1305.0612 v1 · 2013-05-03 · math.PR · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBJPSB7LRRAOHT7FUPWHXKEPNM}

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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 Refined Non-asymptotic Tail Bound of Sub-Gaussian Matrix

Receipt and verification

First computed	2026-05-18T03:26:33.201753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a852f907eb8c40e3cfe5a3ec7ba88f6b35c09542d28d0a218368a393c3b57fdf

Aliases

arxiv: 1305.0612 · arxiv_version: 1305.0612v1 · doi: 10.48550/arxiv.1305.0612 · pith_short_12: VBJPSB7LRRAO · pith_short_16: VBJPSB7LRRAOHT7F · pith_short_8: VBJPSB7L

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/VBJPSB7LRRAOHT7FUPWHXKEPNM \
  | 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: a852f907eb8c40e3cfe5a3ec7ba88f6b35c09542d28d0a218368a393c3b57fdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5531e3fa4f89f9939b6943a600abb648d701be7351adec2df63a10335fb4cb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-03T02:42:40Z",
    "title_canon_sha256": "e33f6770c91a323dd908d49c95cd8ac8a0dfd389a24e619653e30a4e24995366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0612",
    "kind": "arxiv",
    "version": 1
  }
}