Pith Number

pith:L65XKP6U

pith:2014:L65XKP6UX64SQSVOLI4HLAACMV

not attested not anchored not stored refs pending

A Perturbation of the Dunkl Harmonic Oscillator on the Line

Carlos Franco, Jes\'us A. \'Alvarez L\'opez, Manuel Calaza

arxiv:1412.4655 v9 · 2014-12-15 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L65XKP6UX64SQSVOLI4HLAACMV}

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	2026-05-18T00:41:23.526741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbb753fd4bfb9284aae5a38758002657fef0f7d76da4f9324f4f552ae7a4e7c

Aliases

arxiv: 1412.4655 · arxiv_version: 1412.4655v9 · doi: 10.48550/arxiv.1412.4655 · pith_short_12: L65XKP6UX64S · pith_short_16: L65XKP6UX64SQSVO · pith_short_8: L65XKP6U

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/L65XKP6UX64SQSVOLI4HLAACMV \
  | 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: 5fbb753fd4bfb9284aae5a38758002657fef0f7d76da4f9324f4f552ae7a4e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b9e73d498dae8333d420f90f3be7dd5148be9723fef274c0d6ffc6577c80364",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-12-15T16:10:08Z",
    "title_canon_sha256": "394e541dd4f8564ab232738c0a905177d996b8dc4b7aab649349a5fcad429288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4655",
    "kind": "arxiv",
    "version": 9
  }
}