Pith Number

pith:OMOCYPJK

pith:2024:OMOCYPJK5UH5PTBTPPR5UEPNCR

not attested not anchored not stored refs pending

Sibson $\alpha$-Mutual Information and Its Variational Representations

Amedeo Roberto Esposito, Ibrahim Issa, Michael Gastpar

arxiv:2405.08352 v2 · 2024-05-14 · cs.IT · math.IT · 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{OMOCYPJK5UH5PTBTPPR5UEPNCR}

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.

Cited by

3 papers in Pith

Doubly minimized Petz and sandwiched Renyi mutual information: Operational interpretation from binary quantum state discrimination

Doubly minimized Petz and sandwiched Renyi mutual information: Properties

Maximin Robust Bayesian Experimental Design

Receipt and verification

First computed	2026-07-05T11:35:09.898164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

731c2c3d2aed0fd7cc337be3da11ed145385306a62be5de5d8e184518e6fed34

Aliases

arxiv: 2405.08352 · arxiv_version: 2405.08352v2 · doi: 10.48550/arxiv.2405.08352 · pith_short_12: OMOCYPJK5UH5 · pith_short_16: OMOCYPJK5UH5PTBT · pith_short_8: OMOCYPJK

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/OMOCYPJK5UH5PTBTPPR5UEPNCR \
  | 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: 731c2c3d2aed0fd7cc337be3da11ed145385306a62be5de5d8e184518e6fed34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18664d1e2e2be5fad2756102fc072f8c9bf00312e4d3d493024ef2a93a388a20",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2024-05-14T06:45:27Z",
    "title_canon_sha256": "ee759010d73a848ca20f689f44a4df5036d406096e1cb29b336d6e491a3e7934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.08352",
    "kind": "arxiv",
    "version": 2
  }
}