Pith Number

pith:I4CHVVJZ

pith:2018:I4CHVVJZYTALF5KBXFH7UUSSML

not attested not anchored not stored refs pending

Exact R\'enyi entropies of $D$-dimensional harmonic systems

D. Puertas-Centeno, I. V. Toranzo, J. S. Dehesa

arxiv:1806.00982 v1 · 2018-06-04 · 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{I4CHVVJZYTALF5KBXFH7UUSSML}

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	2026-05-18T00:00:43.310640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47047ad539c4c0b2f541b94ffa525262c268353038b3daddca81c3c04ca7e406

Aliases

arxiv: 1806.00982 · arxiv_version: 1806.00982v1 · doi: 10.48550/arxiv.1806.00982 · pith_short_12: I4CHVVJZYTAL · pith_short_16: I4CHVVJZYTALF5KB · pith_short_8: I4CHVVJZ

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/I4CHVVJZYTALF5KBXFH7UUSSML \
  | 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: 47047ad539c4c0b2f541b94ffa525262c268353038b3daddca81c3c04ca7e406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea0e0d4cbe64ea42eedf0e606dcfd1c3a8bef45263c7410e5e51c8fb6e7ef1c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-04T06:53:47Z",
    "title_canon_sha256": "93ad8b867a765c92c898396d0e317959a725dc81cecc3640527fad8c6ab30750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00982",
    "kind": "arxiv",
    "version": 1
  }
}