Pith Number

pith:DRSCCA53

pith:2014:DRSCCA53RF52XG6KT5RG2PXRMS

not attested not anchored not stored refs pending

A strengthened entropy power inequality for log-concave densities

Giuseppe Toscani

arxiv:1408.4049 v1 · 2014-08-18 · 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{DRSCCA53RF52XG6KT5RG2PXRMS}

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	2026-05-18T02:44:57.364936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c642103bb897bab9bca9f626d3ef164b4c9a0d19b804e54064937674d3253c8

Aliases

arxiv: 1408.4049 · arxiv_version: 1408.4049v1 · doi: 10.48550/arxiv.1408.4049 · pith_short_12: DRSCCA53RF52 · pith_short_16: DRSCCA53RF52XG6K · pith_short_8: DRSCCA53

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/DRSCCA53RF52XG6KT5RG2PXRMS \
  | 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: 1c642103bb897bab9bca9f626d3ef164b4c9a0d19b804e54064937674d3253c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab39f018aeda8e20b630c4083a7e78d32cef44d7e7392d3cc5a532b0e3def668",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-08-18T15:49:11Z",
    "title_canon_sha256": "052bebdcd7c823d22fa319275cd9eace5feb8d0bb22c7c29af647641c156925e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4049",
    "kind": "arxiv",
    "version": 1
  }
}