Pith Number

pith:ZLL7ZVAA

pith:2025:ZLL7ZVAADPLNKLMP2NUER7Z7RZ

not attested not anchored not stored refs pending

On the $W$-entropy and Shannon entropy power on RCD$(K, N)$ and RCD$(K, n, N)$ spaces

Enrui Zhang, Xiang-Dong Li

arxiv:2504.01864 v3 · 2025-04-02 · math.FA · math.MG · 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{ZLL7ZVAADPLNKLMP2NUER7Z7RZ}

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	2026-07-05T10:47:57.859845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad7fcd4001bd6d52d8fd36848ff3f8e622c2285ed4fdda57137fb020b1dfe78

Aliases

arxiv: 2504.01864 · arxiv_version: 2504.01864v3 · doi: 10.48550/arxiv.2504.01864 · pith_short_12: ZLL7ZVAADPLN · pith_short_16: ZLL7ZVAADPLNKLMP · pith_short_8: ZLL7ZVAA

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/ZLL7ZVAADPLNKLMP2NUER7Z7RZ \
  | 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: cad7fcd4001bd6d52d8fd36848ff3f8e622c2285ed4fdda57137fb020b1dfe78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efca06c822a21e7e02a1edfc2cda754fb83f826646c761d87a63c6760faf195c",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-04-02T16:15:50Z",
    "title_canon_sha256": "3d1c3e2d858a569d49a6446b9cb19a2a99e135bb30d9ef06d424e1718763fdcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.01864",
    "kind": "arxiv",
    "version": 3
  }
}