Pith Number

pith:HZOITLLC

pith:2025:HZOITLLC7NGKUHTTRHS4J7TYTE

not attested not anchored not stored refs pending

Entropic versions of Bergstr\"om's and Bonnesen's inequalities

Lampros Gavalakis, Martin Rapaport, Matthieu Fradelizi

arxiv:2501.10309 v1 · 2025-01-17 · cs.IT · math.FA · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZOITLLC7NGKUHTTRHS4J7TYTE}

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	2026-07-05T10:02:20.056556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5c89ad62fb4caa1e7389e5c4fe78991fa5aec14863eb28988dd050021c8f56

Aliases

arxiv: 2501.10309 · arxiv_version: 2501.10309v1 · doi: 10.48550/arxiv.2501.10309 · pith_short_12: HZOITLLC7NGK · pith_short_16: HZOITLLC7NGKUHTT · pith_short_8: HZOITLLC

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/HZOITLLC7NGKUHTTRHS4J7TYTE \
  | 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: 3e5c89ad62fb4caa1e7389e5c4fe78991fa5aec14863eb28988dd050021c8f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2672b86110d5624a011222bb824011eeeb480cd976c80f23e7113ead5dd56c92",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-01-17T17:14:23Z",
    "title_canon_sha256": "a2e5706fee0fba5f3c61d835695aefd1fc480d28de7fc00ab047afbcd0c22432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10309",
    "kind": "arxiv",
    "version": 1
  }
}