Pith Number

pith:4WL5RG7M

pith:2013:4WL5RG7MS7KYQMABPAZZR76HIW

not attested not anchored not stored refs pending

Sharp Inequalities for $f$-divergences

Adityanand Guntuboyina, Geoffrey Schiebinger, Sujayam Saha

arxiv:1302.0336 v2 · 2013-02-02 · math.ST · cs.IT · math.IT · math.OC · math.PR · stat.ML · 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{4WL5RG7MS7KYQMABPAZZR76HIW}

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	2026-05-18T03:10:26.758946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e597d89bec97d5883001783398ffc7459dd5c9c0f476a59bedca7c8ce637fb0e

Aliases

arxiv: 1302.0336 · arxiv_version: 1302.0336v2 · doi: 10.48550/arxiv.1302.0336 · pith_short_12: 4WL5RG7MS7KY · pith_short_16: 4WL5RG7MS7KYQMAB · pith_short_8: 4WL5RG7M

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/4WL5RG7MS7KYQMABPAZZR76HIW \
  | 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: e597d89bec97d5883001783398ffc7459dd5c9c0f476a59bedca7c8ce637fb0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a1f7e6763ab94d00ab0dbea0dd0f1fb0f0e4c21690bf437cd8da1475e2af444",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OC",
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-02-02T03:15:48Z",
    "title_canon_sha256": "38b614700e9e4e129288a410e0ce70f3fec91b6baa12cd9abe9766f71584248c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0336",
    "kind": "arxiv",
    "version": 2
  }
}