Pith Number

pith:KV6TO3UP

pith:2026:KV6TO3UPZEGW55WFYRVVA3CLAA

not attested not anchored not stored refs pending

$r$-deformed $\alpha$-$z$-R\'enyi relative entropy

Shigeru Furuichi, Srikrishna Maity, Supriyo Dutta

arxiv:2607.01805 v1 · 2026-07-02 · math-ph · cs.IT · math.FA · math.IT · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KV6TO3UPZEGW55WFYRVVA3CLAA}

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	2026-07-03T01:17:30.412749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

557d376e8fc90d6ef6c5c46b506c4b00086c517d9fa85274fe2c911015e3515a

Aliases

arxiv: 2607.01805 · arxiv_version: 2607.01805v1 · doi: 10.48550/arxiv.2607.01805 · pith_short_12: KV6TO3UPZEGW · pith_short_16: KV6TO3UPZEGW55WF · pith_short_8: KV6TO3UP

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/KV6TO3UPZEGW55WFYRVVA3CLAA \
  | 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: 557d376e8fc90d6ef6c5c46b506c4b00086c517d9fa85274fe2c911015e3515a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e937be21b70c2c05be1b0ed53780f8efb597d5b93045cb6b2bb77e45a21c343",
    "cross_cats_sorted": [
      "cs.IT",
      "math.FA",
      "math.IT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-02T07:19:09Z",
    "title_canon_sha256": "3428ff68b0a8aeb9455789b547d184b530b47bf4b8cb361ab7899a7dfb01c1f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01805",
    "kind": "arxiv",
    "version": 1
  }
}