Pith Number

pith:KVJ4Q7OV

pith:2024:KVJ4Q7OV5CWQISRBPZKROIAOUX

not attested not anchored not stored refs pending

Linear Convergence in Hilbert's Projective Metric for Computing Augustin Information and a R\'{e}nyi Information Measure

Chung-En Tsai, Guan-Ren Wang, Hao-Chung Cheng, Yen-Huan Li

arxiv:2409.02640 v2 · 2024-09-04 · math.OC · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVJ4Q7OV5CWQISRBPZKROIAOUX}

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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

Alternating minimization for computing doubly minimized Petz Renyi mutual information

Receipt and verification

First computed	2026-07-05T09:12:30.901106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5553c87dd5e8ad044a217e5517200ea5c5a40000a91047fc02b6d41da71f1a3f

Aliases

arxiv: 2409.02640 · arxiv_version: 2409.02640v2 · doi: 10.48550/arxiv.2409.02640 · pith_short_12: KVJ4Q7OV5CWQ · pith_short_16: KVJ4Q7OV5CWQISRB · pith_short_8: KVJ4Q7OV

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/KVJ4Q7OV5CWQISRBPZKROIAOUX \
  | 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: 5553c87dd5e8ad044a217e5517200ea5c5a40000a91047fc02b6d41da71f1a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5795bd3d6355a3f8c3484172881a8ff396620430b974d88fc421a106dcbafaf",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-04T12:15:22Z",
    "title_canon_sha256": "f2096471825831ecdc87f1de769a3cda3ebd20b3516d99616543ee7cfdf2d03c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02640",
    "kind": "arxiv",
    "version": 2
  }
}