Pith Number

pith:KYYV6LC3

pith:2016:KYYV6LC3A2NNTEJOAA62XGXXTM

not attested not anchored not stored refs pending

R\'enyi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics

A.I. Aptekarev, D.N. Tulyakov, I.V. Toranzo, J.S. Dehesa

arxiv:1602.05371 v1 · 2016-02-17 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYYV6LC3A2NNTEJOAA62XGXXTM}

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	2026-05-18T01:03:06.171864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56315f2c5b069ad9912e003dab9af79b087fc2569d96f62bc66c9c914514b9c0

Aliases

arxiv: 1602.05371 · arxiv_version: 1602.05371v1 · doi: 10.48550/arxiv.1602.05371 · pith_short_12: KYYV6LC3A2NN · pith_short_16: KYYV6LC3A2NNTEJO · pith_short_8: KYYV6LC3

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/KYYV6LC3A2NNTEJOAA62XGXXTM \
  | 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: 56315f2c5b069ad9912e003dab9af79b087fc2569d96f62bc66c9c914514b9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "056b02a306c247463e47bbc048f7b83b1695bce4c1b0bb11333480d7fa8b427a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-17T11:03:57Z",
    "title_canon_sha256": "0401e257b212ff5f5c44fe8d2483575890d8f7824cacdfda0e81ee01ea9cb977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05371",
    "kind": "arxiv",
    "version": 1
  }
}