Pith Number

pith:QQ4IUKPC

pith:2026:QQ4IUKPCIGACTCQCNGR5FMUI3Y

not attested not anchored not stored refs pending

A data-dependent DKW inequality for regenerative Markov chains

Daniel Jerison

arxiv:2606.30866 v1 · 2026-06-29 · math.ST · math.PR · 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{QQ4IUKPCIGACTCQCNGR5FMUI3Y}

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	2026-07-01T00:17:19.927657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84388a29e24180298a0269a3d2b288de2c6659e82c3e75f8d6deb64ef5976f06

Aliases

arxiv: 2606.30866 · arxiv_version: 2606.30866v1 · doi: 10.48550/arxiv.2606.30866 · pith_short_12: QQ4IUKPCIGAC · pith_short_16: QQ4IUKPCIGACTCQC · pith_short_8: QQ4IUKPC

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/QQ4IUKPCIGACTCQCNGR5FMUI3Y \
  | 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: 84388a29e24180298a0269a3d2b288de2c6659e82c3e75f8d6deb64ef5976f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7996ad590ef2db549c30ffa0761e82884fa48e41392a17aac7ad6ca155995339",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-29T19:55:13Z",
    "title_canon_sha256": "21cc8f693b457d07aed13942a7e14b1cb9d96f96712d3246fd81748a9c0f462e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30866",
    "kind": "arxiv",
    "version": 1
  }
}