Pith Number

pith:ETKG7OU4

pith:2015:ETKG7OU43O5URFK7WWHNJZJIQS

not attested not anchored not stored refs pending

Characterization of a class of weak transport-entropy inequalities on the line

Cyril Roberto, Nathael Gozlan (LAMA), Paul-Marie Samson (LAMA), Prasad Tetali (School of Mathematics), Yan Shu

arxiv:1509.04202 v2 · 2015-09-14 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETKG7OU43O5URFK7WWHNJZJIQS}

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	2026-05-18T01:23:48.207930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d46fba9cdbbb48955fb58ed4e5288481e51d7637ed0d82048a8ac5d9edb598

Aliases

arxiv: 1509.04202 · arxiv_version: 1509.04202v2 · doi: 10.48550/arxiv.1509.04202 · pith_short_12: ETKG7OU43O5U · pith_short_16: ETKG7OU43O5URFK7 · pith_short_8: ETKG7OU4

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/ETKG7OU43O5URFK7WWHNJZJIQS \
  | 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: 24d46fba9cdbbb48955fb58ed4e5288481e51d7637ed0d82048a8ac5d9edb598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5144f8471cf8a6bb0461b87026f41fb47dfd197cf93e98f33f96fc3e67543f8c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-14T17:00:54Z",
    "title_canon_sha256": "8e0d5ad6d526e048521a742a38763e535dd6bd7eab0633658a6c8c78738466a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04202",
    "kind": "arxiv",
    "version": 2
  }
}