Pith Number

pith:HNRDH6SU

pith:2026:HNRDH6SUEUIUE5XGUYBFALJOXZ

not attested not anchored not stored refs pending

Information theoretic measures of isotropic Dunkl oscillator in spherical coordinates

Akash Halder, Amlan K. Roy, Debraj Nath

arxiv:2606.07228 v1 · 2026-06-05 · 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{HNRDH6SUEUIUE5XGUYBFALJOXZ}

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	2026-06-08T01:05:14.089894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6233fa5425114276e6a602502d2ebe5002e305e663f4b9a05207e20877fcf0

Aliases

arxiv: 2606.07228 · arxiv_version: 2606.07228v1 · doi: 10.48550/arxiv.2606.07228 · pith_short_12: HNRDH6SUEUIU · pith_short_16: HNRDH6SUEUIUE5XG · pith_short_8: HNRDH6SU

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/HNRDH6SUEUIUE5XGUYBFALJOXZ \
  | 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: 3b6233fa5425114276e6a602502d2ebe5002e305e663f4b9a05207e20877fcf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e7399a51f87066443a6d930720d34befa0f9f600d293841843325d9713ede10",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-05T12:52:37Z",
    "title_canon_sha256": "d6392193f49912ef4e670474ad3b869005ce52985a3d394760e318d7d7d27001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07228",
    "kind": "arxiv",
    "version": 1
  }
}