Pith Number

pith:LOS3R3FR

pith:2021:LOS3R3FRIHEJIZT4TGX4HULIDH

not attested not anchored not stored refs pending

Stochastic comparisons, differential entropy and varentropy for distributions induced by probability density functions

Alfonso Suarez-Llorens, Antonio Di Crescenzo, Luca Paolillo

arxiv:2103.11038 v2 · 2021-03-19 · math.PR · cs.IT · math.IT · 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{LOS3R3FRIHEJIZT4TGX4HULIDH}

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	2026-07-05T08:13:56.865689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba5b8ecb141c894667c99afc3d16819ebbb4eca3422733bd5f503b063906180

Aliases

arxiv: 2103.11038 · arxiv_version: 2103.11038v2 · doi: 10.48550/arxiv.2103.11038 · pith_short_12: LOS3R3FRIHEJ · pith_short_16: LOS3R3FRIHEJIZT4 · pith_short_8: LOS3R3FR

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/LOS3R3FRIHEJIZT4TGX4HULIDH \
  | 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: 5ba5b8ecb141c894667c99afc3d16819ebbb4eca3422733bd5f503b063906180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c7c7327e4ebc1db1572d4c5bc57a9ce2e9dce998cccb069d51749cc9272960",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-03-19T22:01:30Z",
    "title_canon_sha256": "3de7b8d6bacecd22e0b2147796a6d53434c059b38e61e8f8933e1db9a01b3e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11038",
    "kind": "arxiv",
    "version": 2
  }
}