Pith Number

pith:4KK4RRYM

pith:2014:4KK4RRYMIAJOO63DLIDGNBWEJN

not attested not anchored not stored refs pending

Unimodality of Boolean and monotone stable distributions

Noriyoshi Sakuma, Takahiro Hasebe

arxiv:1403.2487 v1 · 2014-03-11 · math.PR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KK4RRYMIAJOO63DLIDGNBWEJN}

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	2026-05-18T02:56:43.207233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e295c8c70c4012e77b635a066686c44b405d8c4ffd308c0bd2d44cd798b25c74

Aliases

arxiv: 1403.2487 · arxiv_version: 1403.2487v1 · doi: 10.48550/arxiv.1403.2487 · pith_short_12: 4KK4RRYMIAJO · pith_short_16: 4KK4RRYMIAJOO63D · pith_short_8: 4KK4RRYM

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/4KK4RRYMIAJOO63DLIDGNBWEJN \
  | 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: e295c8c70c4012e77b635a066686c44b405d8c4ffd308c0bd2d44cd798b25c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b628106688b0214a114d87d11e1322cd8e6649ebf172047bf0df6a1f07fd1468",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-11T06:56:39Z",
    "title_canon_sha256": "9837d5a87180cf5731ad1ac0c2ae0a1f021fcf72ad945d8368208425e1bd7d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2487",
    "kind": "arxiv",
    "version": 1
  }
}