Pith Number

pith:QZOHGRRH

pith:2026:QZOHGRRHCGZ26K22JSEMZXFGIF

not attested not anchored not stored refs pending

Matrix concentration inequalities for time-inhomogeneous Markov chains

Luca Zanetti

arxiv:2605.24445 v1 · 2026-05-23 · math.PR · 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{QZOHGRRHCGZ26K22JSEMZXFGIF}

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.

Receipt and verification

First computed	2026-05-26T01:03:39.996130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865c73462711b3af2b5a4c88ccdca6417f0d0f6bdf794fbdc5cf369129dc91de

Aliases

arxiv: 2605.24445 · arxiv_version: 2605.24445v1 · doi: 10.48550/arxiv.2605.24445 · pith_short_12: QZOHGRRHCGZ2 · pith_short_16: QZOHGRRHCGZ26K22 · pith_short_8: QZOHGRRH

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/QZOHGRRHCGZ26K22JSEMZXFGIF \
  | 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: 865c73462711b3af2b5a4c88ccdca6417f0d0f6bdf794fbdc5cf369129dc91de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb95e8a9aed396f218d18c63675fd0f20e92e24c0c8f56243d9591053ccc119",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-23T07:34:26Z",
    "title_canon_sha256": "539524655fd0535281d68c0f52fc5f4766eccd589c004ba11f19e6d1797f1a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24445",
    "kind": "arxiv",
    "version": 1
  }
}