Pith Number

pith:4JSF3PRK

pith:2015:4JSF3PRKIC6WENDVRG2J4YDLBT

not attested not anchored not stored refs pending

Small ball probabilities, maximum density and rearrangements

J. D. Lee, T. Ju\v{s}kevi\v{c}ius

arxiv:1503.09190 v2 · 2015-03-31 · 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{4JSF3PRKIC6WENDVRG2J4YDLBT}

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	2026-05-18T02:19:43.481860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2645dbe2a40bd62347589b49e606b0cd55e586daa0438a01aa1d16080bd8198

Aliases

arxiv: 1503.09190 · arxiv_version: 1503.09190v2 · doi: 10.48550/arxiv.1503.09190 · pith_short_12: 4JSF3PRKIC6W · pith_short_16: 4JSF3PRKIC6WENDV · pith_short_8: 4JSF3PRK

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/4JSF3PRKIC6WENDVRG2J4YDLBT \
  | 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: e2645dbe2a40bd62347589b49e606b0cd55e586daa0438a01aa1d16080bd8198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a3baea08c2c1c8701402de3f87dfbc8c7cab735d157af11ca9d066c03a96071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-31T19:59:12Z",
    "title_canon_sha256": "405fbc0d275c82e2e137bf448ced9213c8c21e5f75613197c0b959af2bafdda1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09190",
    "kind": "arxiv",
    "version": 2
  }
}