Pith Number

pith:JNTRBA6S

pith:2024:JNTRBA6SDFJ2DM3WZPBB62ZBLI

not attested not anchored not stored refs pending

The Bunching and Monotonicity Properties of Families of Probability Distributions

J.J.P. Veerman, N. Torrado, S. Portnoy

arxiv:2406.02894 v1 · 2024-06-05 · math.ST · 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{JNTRBA6SDFJ2DM3WZPBB62ZBLI}

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	2026-07-05T08:27:32.110307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b671083d21953a1b376cbc21f6b215a1c41f1d970b82836ac9dcada7b8a4a91

Aliases

arxiv: 2406.02894 · arxiv_version: 2406.02894v1 · doi: 10.48550/arxiv.2406.02894 · pith_short_12: JNTRBA6SDFJ2 · pith_short_16: JNTRBA6SDFJ2DM3W · pith_short_8: JNTRBA6S

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/JNTRBA6SDFJ2DM3WZPBB62ZBLI \
  | 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: 4b671083d21953a1b376cbc21f6b215a1c41f1d970b82836ac9dcada7b8a4a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874a76a1631e88cc8a33c288af14d150f7aaac7677925004d86d73226892c804",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-06-05T03:28:07Z",
    "title_canon_sha256": "4bf81d354c574c148931155003d12ad22a4bbc39c75930a9f57c31d95e90e9e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.02894",
    "kind": "arxiv",
    "version": 1
  }
}