pith. sign in
Pith Number

pith:UQEW4K4S

pith:2015:UQEW4K4SEH6H3LQL62YZBRL3CP
not attested not anchored not stored refs pending

Category theoretic properties of the A. R\'enyi and C. Tsallis entropies

Alberto Sonnino, Giorgio Sonnino, Gy\"orgy Steinbrecher

arxiv:1504.05552 v3 · 2015-04-21 · physics.data-an

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UQEW4K4SEH6H3LQL62YZBRL3CP}

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 2026-05-18T01:16:50.810360Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a4096e2b9221fc7dae0bf6b190c57b13f554227ffd0b2f61ffc2f92a440273a4

Aliases

arxiv: 1504.05552 · arxiv_version: 1504.05552v3 · doi: 10.48550/arxiv.1504.05552 · pith_short_12: UQEW4K4SEH6H · pith_short_16: UQEW4K4SEH6H3LQL · pith_short_8: UQEW4K4S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UQEW4K4SEH6H3LQL62YZBRL3CP \
  | 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: a4096e2b9221fc7dae0bf6b190c57b13f554227ffd0b2f61ffc2f92a440273a4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "65393bbe1e436554a813b4c9fbebb3dca92b42c121e7a908e37ead775d6e42ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2015-04-21T19:06:56Z",
    "title_canon_sha256": "e0d0065ea9fcc98955e5461f8a175a0e3a90e4c1b60b7d341f7b88236ce8cb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05552",
    "kind": "arxiv",
    "version": 3
  }
}