Pith Number

pith:4GZTQ2WR

pith:2012:4GZTQ2WRSJFFLCMLL7KWDIFRUP

not attested not anchored not stored refs pending

An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators

H.C. Rosu, M.A. Reyes, R. Arcos-Olalla

arxiv:1209.4429 v1 · 2012-09-20 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GZTQ2WRSJFFLCMLL7KWDIFRUP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:04:06.801827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b3386ad1924a55898b5fd561a0b1a3fa9f91fe6cca815029f6d7a2514b040a

Aliases

arxiv: 1209.4429 · arxiv_version: 1209.4429v1 · doi: 10.48550/arxiv.1209.4429 · pith_short_12: 4GZTQ2WRSJFF · pith_short_16: 4GZTQ2WRSJFFLCML · pith_short_8: 4GZTQ2WR

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/4GZTQ2WRSJFFLCMLL7KWDIFRUP \
  | 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: e1b3386ad1924a55898b5fd561a0b1a3fa9f91fe6cca815029f6d7a2514b040a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb365e57a8eea2087061836a754fbd446b808a2c4355dcab17f3e81dcae4e147",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-20T05:15:20Z",
    "title_canon_sha256": "6923ea28fa0d36c58c0570b4ba0be8db578dbfecb4af050e065b524638cb09b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4429",
    "kind": "arxiv",
    "version": 1
  }
}