Pith Number

pith:BK6YYFIR

pith:2015:BK6YYFIRTWYOTRLANNTUHO35VA

not attested not anchored not stored refs pending

Basic inequalities for weighted entropies

Izabella Stuhl, Mark Kelbert, Salimeh Yasaei Sekeh, Yuri Suhov

arxiv:1510.02184 v2 · 2015-10-08 · cs.IT · math.IT · 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{BK6YYFIRTWYOTRLANNTUHO35VA}

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	2026-05-18T01:22:53.849751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0abd8c15119db0e9c5606b6743bb7da80cc43be5e0cd49c768d5ceb3c45736ab

Aliases

arxiv: 1510.02184 · arxiv_version: 1510.02184v2 · doi: 10.48550/arxiv.1510.02184 · pith_short_12: BK6YYFIRTWYO · pith_short_16: BK6YYFIRTWYOTRLA · pith_short_8: BK6YYFIR

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/BK6YYFIRTWYOTRLANNTUHO35VA \
  | 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: 0abd8c15119db0e9c5606b6743bb7da80cc43be5e0cd49c768d5ceb3c45736ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d93b9c875a3fa24c876b8d45a1a870118ed3ac6def784da13bcec3c5f0efef5",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-08T02:25:26Z",
    "title_canon_sha256": "002814f4e11cc1ee6ee205fc7450d0d204b418907f0a1584f66e94f444034abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02184",
    "kind": "arxiv",
    "version": 2
  }
}