Pith Number

pith:CGEHCWLG

pith:2026:CGEHCWLGCTWZVRGUA4K6YW6QOP

not attested not anchored not stored refs pending

Computing lower expectations with respect to total variation distance and chi-squared divergence balls

Jasper De Bock

arxiv:2605.30091 v1 · 2026-05-28 · 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{CGEHCWLGCTWZVRGUA4K6YW6QOP}

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	2026-05-29T02:06:09.683700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118871596614ed9ac4d40715ec5bd073df823a61cf93f5825a2876ccd04f523f

Aliases

arxiv: 2605.30091 · arxiv_version: 2605.30091v1 · doi: 10.48550/arxiv.2605.30091 · pith_short_12: CGEHCWLGCTWZ · pith_short_16: CGEHCWLGCTWZVRGU · pith_short_8: CGEHCWLG

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/CGEHCWLGCTWZVRGUA4K6YW6QOP \
  | 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: 118871596614ed9ac4d40715ec5bd073df823a61cf93f5825a2876ccd04f523f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f3d1081b8323a0e7647e6b91ffa06e7e3c2a149cf6d5d06b852088921de22d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-28T15:37:33Z",
    "title_canon_sha256": "c08ebc2806f1abbda5a16db9ff36dd6304233ff149c4c4792a6f243115b92e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30091",
    "kind": "arxiv",
    "version": 1
  }
}