Pith Number

pith:ZIQOLE4F

pith:2015:ZIQOLE4FE3PSW7ERRFHPKLIPQ7

not attested not anchored not stored refs pending

$f$-divergence Inequalities

Igal Sason, Sergio Verd\'u

arxiv:1508.00335 v7 · 2015-08-03 · 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{ZIQOLE4FE3PSW7ERRFHPKLIPQ7}

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	2026-05-18T00:55:58.513566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca20e5938526df2b7c91894ef52d0f87e3367ceef690c4d92de8f771defce8ef

Aliases

arxiv: 1508.00335 · arxiv_version: 1508.00335v7 · doi: 10.48550/arxiv.1508.00335 · pith_short_12: ZIQOLE4FE3PS · pith_short_16: ZIQOLE4FE3PSW7ER · pith_short_8: ZIQOLE4F

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/ZIQOLE4FE3PSW7ERRFHPKLIPQ7 \
  | 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: ca20e5938526df2b7c91894ef52d0f87e3367ceef690c4d92de8f771defce8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f532406f9e550e31509d37ccc578f7f1938f5e062aa506c7015c431bb74ea8f8",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-08-03T07:46:42Z",
    "title_canon_sha256": "64d045b2aa9035c0fc6d0697774e6c4b10918014c7156f3451fa19ccc417835a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00335",
    "kind": "arxiv",
    "version": 7
  }
}