Pith Number

pith:REC4PCQ5

pith:2024:REC4PCQ5OLMC644XLON64JENLE

not attested not anchored not stored refs pending

A sharp symmetrized free transport-entropy inequality for the semicircular law

Charles-Philippe Diez

arxiv:2410.02715 v2 · 2024-10-03 · math.OA · math.FA · 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{REC4PCQ5OLMC644XLON64JENLE}

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

1 paper in Pith

Free information geometry and the model theory of noncommutative stochastic processes

Receipt and verification

First computed	2026-07-05T09:54:04.833826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8905c78a1d72d82f73975b9bee248d5924a9626037f1fa375073aceba33f0b82

Aliases

arxiv: 2410.02715 · arxiv_version: 2410.02715v2 · doi: 10.48550/arxiv.2410.02715 · pith_short_12: REC4PCQ5OLMC · pith_short_16: REC4PCQ5OLMC644X · pith_short_8: REC4PCQ5

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/REC4PCQ5OLMC644XLON64JENLE \
  | 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: 8905c78a1d72d82f73975b9bee248d5924a9626037f1fa375073aceba33f0b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5941b29a5ea5294e0a9d7fb29effd463bca4e13f655a5685a4eef348f7261d37",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-10-03T17:37:48Z",
    "title_canon_sha256": "df99c6813689dc6c36796e6615dd6dc5065731dc3c61ca9d3a45957c1337a228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02715",
    "kind": "arxiv",
    "version": 2
  }
}