Pith Number

pith:V36ZKACR

pith:2015:V36ZKACRGJ3IO6AYDTHZW3576A

not attested not anchored not stored refs pending

Linear Bounds between Contraction Coefficients for $f$-Divergences

Anuran Makur, Lizhong Zheng

arxiv:1510.01844 v4 · 2015-10-07 · cs.IT · math.IT · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V36ZKACRGJ3IO6AYDTHZW3576A}

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.

Cited by

1 paper in Pith

Local Information-Theoretic Security via Euclidean Geometry

Receipt and verification

First computed	2026-05-18T00:10:48.297887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefd95005132768778181ccf9b6fbff02325cdfa3f29c6e754e2c3aeb6f48eea

Aliases

arxiv: 1510.01844 · arxiv_version: 1510.01844v4 · doi: 10.48550/arxiv.1510.01844 · pith_short_12: V36ZKACRGJ3I · pith_short_16: V36ZKACRGJ3IO6AY · pith_short_8: V36ZKACR

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/V36ZKACRGJ3IO6AYDTHZW3576A \
  | 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: aefd95005132768778181ccf9b6fbff02325cdfa3f29c6e754e2c3aeb6f48eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e69ca4977f46c6710f170e2f19a3e17b1cc24e2146894348d6ea08875f0b6f04",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-07T07:06:02Z",
    "title_canon_sha256": "1c4a079f269887d6eea6c35df3758e16e14e1ffd2dbe0c6d53b44ae57f05c209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01844",
    "kind": "arxiv",
    "version": 4
  }
}