Pith Number

pith:FB5X2XE4

pith:2023:FB5X2XE4FL5KH2XTEKALUWSH3C

not attested not anchored not stored refs pending

Randomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities

Aaditya Ramdas, Tudor Manole

arxiv:2304.02611 v3 · 2023-04-05 · math.ST · cs.IT · math.IT · math.PR · 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{FB5X2XE4FL5KH2XTEKALUWSH3C}

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

Regularized e-processes: anytime valid inference with knowledge-based efficiency gains

Receipt and verification

First computed	2026-07-05T06:08:25.407856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287b7d5c9c2afaa3eaf32280ba5a47d882bc0b79ab0b7acf5183f8c769b6ecbd

Aliases

arxiv: 2304.02611 · arxiv_version: 2304.02611v3 · doi: 10.48550/arxiv.2304.02611 · pith_short_12: FB5X2XE4FL5K · pith_short_16: FB5X2XE4FL5KH2XT · pith_short_8: FB5X2XE4

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/FB5X2XE4FL5KH2XTEKALUWSH3C \
  | 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: 287b7d5c9c2afaa3eaf32280ba5a47d882bc0b79ab0b7acf5183f8c769b6ecbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b724494eb39a662dd1ab68cd8043d0bbe3be1f1b2cd8005d42558605fbfe0b48",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-04-05T17:32:21Z",
    "title_canon_sha256": "dd9f3a886a495387e005b91025ac99905804861846123bfec7d403ff0e91d6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.02611",
    "kind": "arxiv",
    "version": 3
  }
}