Pith Number

pith:RAFNXHM2

pith:2021:RAFNXHM2KWJZTRK7VKZABDQ2VK

not attested not anchored not stored refs pending

On the quantum-mechanical singular harmonic oscillator

Francisco M. Fern\'andez

arxiv:2112.03693 v2 · 2021-12-05 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAFNXHM2KWJZTRK7VKZABDQ2VK}

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.

Cited by

3 papers in Pith

On solutions of the Schr\"{o}dinger equation for some molecular potentials: Power-series method

Effect of kinetic energy operator on double heterostructures spectra

Receipt and verification

First computed	2026-07-05T06:09:30.118929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

880adb9d9a559399c55faab2008e1aaa973a27bb1765de66377a6ec5087c1032

Aliases

arxiv: 2112.03693 · arxiv_version: 2112.03693v2 · doi: 10.48550/arxiv.2112.03693 · pith_short_12: RAFNXHM2KWJZ · pith_short_16: RAFNXHM2KWJZTRK7 · pith_short_8: RAFNXHM2

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/RAFNXHM2KWJZTRK7VKZABDQ2VK \
  | 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: 880adb9d9a559399c55faab2008e1aaa973a27bb1765de66377a6ec5087c1032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accbf6247b4337fc0558dba6b0d017f51ca0d72656c96d720aa086802abd8f38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-05T17:58:02Z",
    "title_canon_sha256": "14a5aa545229aa82d9092acf55f137484c6b5025dfef7bc4aec10e06dd8b1aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.03693",
    "kind": "arxiv",
    "version": 2
  }
}