Pith Number

pith:I5X2XWZD

pith:2017:I5X2XWZDDKC6CKATM5PMDCDQFE

not attested not anchored not stored refs pending

$L^p$-Spectrum of the Schr\"odinger Operator with Inverted Harmonic Oscillator Potential

Felix Finster, J.M. Isidro

arxiv:1707.06794 v3 · 2017-07-21 · math-ph · math.FA · math.MP · 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{I5X2XWZDDKC6CKATM5PMDCDQFE}

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	2026-05-18T00:34:09.609494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

476fabdb231a85e12813675ec1887029031596c8092c4fb8d98bca9a92d204b1

Aliases

arxiv: 1707.06794 · arxiv_version: 1707.06794v3 · doi: 10.48550/arxiv.1707.06794 · pith_short_12: I5X2XWZDDKC6 · pith_short_16: I5X2XWZDDKC6CKAT · pith_short_8: I5X2XWZD

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/I5X2XWZDDKC6CKATM5PMDCDQFE \
  | 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: 476fabdb231a85e12813675ec1887029031596c8092c4fb8d98bca9a92d204b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0cc0b89a5c5652032f76218856c723c9e8e2c89b5646152b0e98f1f7a5a3fe",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-21T08:29:04Z",
    "title_canon_sha256": "c542e09d61490e2f70231b191e3d76b1d8abd98fa54316707cc2240ab53e0690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06794",
    "kind": "arxiv",
    "version": 3
  }
}