Pith Number

pith:AZIOXBOX

pith:2013:AZIOXBOXDUBOLRB6BRAS3MIOAG

not attested not anchored not stored refs pending

Continuous counterparts of Poisson and binomial distributions and their properties

Andrii Ilienko

arxiv:1303.5990 v1 · 2013-03-24 · 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{AZIOXBOXDUBOLRB6BRAS3MIOAG}

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	2026-05-18T03:29:52.299112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0650eb85d71d02e5c43e0c412db10e01b11bb726e35b27994ca7d2bb937db04e

Aliases

arxiv: 1303.5990 · arxiv_version: 1303.5990v1 · doi: 10.48550/arxiv.1303.5990 · pith_short_12: AZIOXBOXDUBO · pith_short_16: AZIOXBOXDUBOLRB6 · pith_short_8: AZIOXBOX

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/AZIOXBOXDUBOLRB6BRAS3MIOAG \
  | 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: 0650eb85d71d02e5c43e0c412db10e01b11bb726e35b27994ca7d2bb937db04e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2e9dafd277a34cbcc280efebd9b0746e9b0b06fb0b54b3e18a294b678ea35b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-24T21:00:26Z",
    "title_canon_sha256": "204ad2e327d6cc613ee035e9a8a0f56b0cb4cdaa76dad2300310f8629b873f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5990",
    "kind": "arxiv",
    "version": 1
  }
}