Pith Number

pith:XZ36WVKZ

pith:2024:XZ36WVKZ5V2ZJQXYC4KEA2HPQB

not attested not anchored not stored refs pending

New Upper bounds for KL-divergence Based on Integral Norms

Liuquan Yao, Songhao Liu

arxiv:2409.00934 v2 · 2024-09-02 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ36WVKZ5V2ZJQXYC4KEA2HPQB}

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	2026-07-05T09:28:34.000228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be77eb5559ed7594c2f817144068ef80791ccfd5e22be3cdbb5e951e69de1714

Aliases

arxiv: 2409.00934 · arxiv_version: 2409.00934v2 · doi: 10.48550/arxiv.2409.00934 · pith_short_12: XZ36WVKZ5V2Z · pith_short_16: XZ36WVKZ5V2ZJQXY · pith_short_8: XZ36WVKZ

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/XZ36WVKZ5V2ZJQXYC4KEA2HPQB \
  | 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: be77eb5559ed7594c2f817144068ef80791ccfd5e22be3cdbb5e951e69de1714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696261eb2cfed5779ab6942734c8b44016fc0f4bb726d341b256c38a34867f19",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-02T04:13:40Z",
    "title_canon_sha256": "cd6a544663508950dd5a2b7f310888ca5d0dc1e9d82d44ba546b36396326d63f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.00934",
    "kind": "arxiv",
    "version": 2
  }
}