pith. sign in
Pith Number

pith:KALF4JV2

pith:2016:KALF4JV2XZYTFAPN2CDL5DX5Q3
not attested not anchored not stored refs pending

R\'enyi entropy, abundance distribution and the equivalence of ensembles

Aleksandra M. Walczak, Thierry Mora

arxiv:1603.05458 v1 · 2016-03-17 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KALF4JV2XZYTFAPN2CDL5DX5Q3}

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 2026-05-18T00:54:08.975806Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

50165e26babe713281edd086be8efd86ef27f75175e40483c0d7810b6cd35a7f

Aliases

arxiv: 1603.05458 · arxiv_version: 1603.05458v1 · doi: 10.48550/arxiv.1603.05458 · pith_short_12: KALF4JV2XZYT · pith_short_16: KALF4JV2XZYTFAPN · pith_short_8: KALF4JV2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KALF4JV2XZYTFAPN2CDL5DX5Q3 \
  | 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: 50165e26babe713281edd086be8efd86ef27f75175e40483c0d7810b6cd35a7f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2482b0332d22fb3a4acf1192bcae7f1a4360307f90c1e228b4eb467fc227fa95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-03-17T12:45:53Z",
    "title_canon_sha256": "8fdb3d3c5d7a0291a56eb8965d8fcb3395f1f2b8d27fb02faee955837870587a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05458",
    "kind": "arxiv",
    "version": 1
  }
}