Pith Number

pith:5OX347PV

pith:2025:5OX347PVYNXGMVLVTRFKAFWYV4

not attested not anchored not stored refs pending

Sharp informational inequalities involving Kullback-Leibler and R\'enyi divergences and a family of scaling-invariant relative Fisher measures

David Puertas-Centeno, Elio V. Toranzo, Razvan Gabriel Iagar

arxiv:2507.17408 v1 · 2025-07-23 · math-ph · math.MP

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\usepackage{pith}
\pithnumber{5OX347PVYNXGMVLVTRFKAFWYV4}

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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.

Cited by

1 paper in Pith

New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types

Receipt and verification

First computed	2026-07-05T11:42:07.144479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebafbe7df5c36e6655759c4aa016d8af29968ba02f4d42eefe6b6179d05f2489

Aliases

arxiv: 2507.17408 · arxiv_version: 2507.17408v1 · doi: 10.48550/arxiv.2507.17408 · pith_short_12: 5OX347PVYNXG · pith_short_16: 5OX347PVYNXGMVLV · pith_short_8: 5OX347PV

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/5OX347PVYNXGMVLVTRFKAFWYV4 \
  | 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: ebafbe7df5c36e6655759c4aa016d8af29968ba02f4d42eefe6b6179d05f2489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a0eb876478bf509e4f0b683bd273ded177c262c86b097ed5d49c673cb4ee8f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-23T11:06:56Z",
    "title_canon_sha256": "96ce11458929ef86c66fd5921080f9d8793ba73a5b7ae9c9fc88dbaaa7c8bf21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17408",
    "kind": "arxiv",
    "version": 1
  }
}