Pith Number

pith:VAFUZEVV

pith:2022:VAFUZEVVI6ILYSNVDHHO5FTZOM

not attested not anchored not stored refs pending

Universality and sharp matrix concentration inequalities

Ramon van Handel, Tatiana Brailovskaya

arxiv:2201.05142 v3 · 2022-01-13 · math.PR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAFUZEVVI6ILYSNVDHHO5FTZOM}

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

1 paper in Pith

Sharp concentration for sums of matrices with Markovian dependence through universality

Receipt and verification

First computed	2026-07-05T08:36:16.016770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a80b4c92b54790bc49b519ceee96797312ff1432cd6993eabcc30bfc0fee2a8b

Aliases

arxiv: 2201.05142 · arxiv_version: 2201.05142v3 · doi: 10.48550/arxiv.2201.05142 · pith_short_12: VAFUZEVVI6IL · pith_short_16: VAFUZEVVI6ILYSNV · pith_short_8: VAFUZEVV

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/VAFUZEVVI6ILYSNVDHHO5FTZOM \
  | 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: a80b4c92b54790bc49b519ceee96797312ff1432cd6993eabcc30bfc0fee2a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "207b7bfafdfae04b53027281014513e55f7a07e3f4913419552e59524d5af7f2",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-01-13T18:52:39Z",
    "title_canon_sha256": "7b8fd8c11a93a6a5dd54b1983159bbbc3136f12db72cea3e70c9525a19c102d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05142",
    "kind": "arxiv",
    "version": 3
  }
}