Pith. sign in
Pith Number

pith:HIVGFUFE

pith:2024:HIVGFUFEWF5W7IPBYLZNYVZHLQ
not attested not anchored not stored refs pending

Entropies of the Poisson distribution as functions of intensity: "normal" and "anomalous" behavior

Anatoliy Malyarenko, Dmitri Finkelshtein, Kostiantyn Ralchenko, Yuliya Mishura

arxiv:2411.16913 v1 · 2024-11-25 · math.PR · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HIVGFUFEWF5W7IPBYLZNYVZHLQ}

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 2026-07-05T09:40:24.523193Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3a2a62d0a4b17b6fa1e1c2f2dc57275c0aeea3d09b74ad5d1f168919f26692a7

Aliases

arxiv: 2411.16913 · arxiv_version: 2411.16913v1 · doi: 10.48550/arxiv.2411.16913 · pith_short_12: HIVGFUFEWF5W · pith_short_16: HIVGFUFEWF5W7IPB · pith_short_8: HIVGFUFE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HIVGFUFEWF5W7IPBYLZNYVZHLQ \
  | 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: 3a2a62d0a4b17b6fa1e1c2f2dc57275c0aeea3d09b74ad5d1f168919f26692a7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b6ac1c60a82b4891d2fb5a3984f59f1eb78ee408715590fb9399edc3e2b4cee",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-25T20:32:12Z",
    "title_canon_sha256": "2f0f3a9d3a66c72a98cbdb4c89e3f00828db8fab3dad751955f068e513bb255d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16913",
    "kind": "arxiv",
    "version": 1
  }
}