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Pith Number

pith:FW5UCFPO

pith:2018:FW5UCFPOBHIV7AV323EZOJXUZG
not attested not anchored not stored refs pending

Some remarks on 1D Schr\"odinger operators with localized magnetic and electric potentials

Yuriy Golovaty

arxiv:1811.07213 v1 · 2018-11-17 · math.SP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FW5UCFPOBHIV7AV323EZOJXUZG}

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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 2026-05-17T23:46:29.538798Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2dbb4115ee09d15f82bbd6c99726f4c9961518c3d1895856d376680475adcb14

Aliases

arxiv: 1811.07213 · arxiv_version: 1811.07213v1 · doi: 10.48550/arxiv.1811.07213 · pith_short_12: FW5UCFPOBHIV · pith_short_16: FW5UCFPOBHIV7AV3 · pith_short_8: FW5UCFPO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG \
  | 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: 2dbb4115ee09d15f82bbd6c99726f4c9961518c3d1895856d376680475adcb14
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e2dc643e885356b24722f6082760f4fb05f478e581290696a0d13b5ca45f5ad3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-11-17T19:46:11Z",
    "title_canon_sha256": "4e3e1635c31dfaa265d19486c64af215320354473f7bebdf50d700573fb06122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07213",
    "kind": "arxiv",
    "version": 1
  }
}