Pith Number

pith:ZTYZRDGO

pith:2023:ZTYZRDGOXLCQP6UORG5G3BFP5B

not attested not anchored not stored refs pending

Concentration bounds for sampling without replacement and Hoeffding statistics

Bart{\l}omiej Polaczyk

arxiv:2301.03096 v1 · 2023-01-08 · 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{ZTYZRDGOXLCQP6UORG5G3BFP5B}

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

The Panel Complexity of Sortition: Is 12 Angry Men Enough?

Receipt and verification

First computed	2026-07-05T05:31:25.750164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf1988ccebac507fa8e89ba6d84afe872f06990d8bba39f2b8ea47f5ecdabdf

Aliases

arxiv: 2301.03096 · arxiv_version: 2301.03096v1 · doi: 10.48550/arxiv.2301.03096 · pith_short_12: ZTYZRDGOXLCQ · pith_short_16: ZTYZRDGOXLCQP6UO · pith_short_8: ZTYZRDGO

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/ZTYZRDGOXLCQP6UORG5G3BFP5B \
  | 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: ccf1988ccebac507fa8e89ba6d84afe872f06990d8bba39f2b8ea47f5ecdabdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53399be7bc5d52e8acaad479966a19534c9bbb33b7e52f6f0540571530d27225",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-08T19:28:38Z",
    "title_canon_sha256": "74f58a29e2745b5245118a454db377ba60da8b3bb580d7b8014d41eb5e1dfcab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.03096",
    "kind": "arxiv",
    "version": 1
  }
}