Pith Number

pith:YRAYBNWE

pith:2026:YRAYBNWENTQDK4X7BTKLFTJME4

not attested not anchored not stored refs pending

On the optimality of antithetic randomization for cross-validation

Sifan Liu, Snigdha Panigrahi, Srijan Chattopadhyay

arxiv:2608.08089 v1 · 2026-08-08 · math.ST · stat.ME · 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{YRAYBNWENTQDK4X7BTKLFTJME4}

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	2026-08-11T01:21:39.224520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44180b6c46ce03572ff0cd4b2cd2c271ee4a9b82aa74db93a00a591e1f1b9b7

Aliases

arxiv: 2608.08089 · arxiv_version: 2608.08089v1 · doi: 10.48550/arxiv.2608.08089 · pith_short_12: YRAYBNWENTQD · pith_short_16: YRAYBNWENTQDK4X7 · pith_short_8: YRAYBNWE

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/YRAYBNWENTQDK4X7BTKLFTJME4 \
  | 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: c44180b6c46ce03572ff0cd4b2cd2c271ee4a9b82aa74db93a00a591e1f1b9b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c543de403b9b6a0e48bfec99d39eb9952c18bcc2729c5d34667895ea4d8279",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-08-08T12:15:03Z",
    "title_canon_sha256": "cb2346dcb9139b71cc998e524d9f824092131dca9f2f7a242bf8d9da62235533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08089",
    "kind": "arxiv",
    "version": 1
  }
}