Pith Number

pith:ALCJ252J

pith:2011:ALCJ252J6K7DTYX2ZUK2NOQMZB

not attested not anchored not stored refs pending

One-dimensional Schr\"odinger operators with $\delta'$-interactions on a set of Lebesgue measure zero

Johannes F. Brasche, Leonid Nizhnik

arxiv:1112.2545 v1 · 2011-12-12 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALCJ252J6K7DTYX2ZUK2NOQMZB}

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	2026-05-18T04:06:34.034935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02c49d7749f2be39e2facd15a6ba0cc8504991f502e57006bc0eb7be900351f5

Aliases

arxiv: 1112.2545 · arxiv_version: 1112.2545v1 · doi: 10.48550/arxiv.1112.2545 · pith_short_12: ALCJ252J6K7D · pith_short_16: ALCJ252J6K7DTYX2 · pith_short_8: ALCJ252J

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/ALCJ252J6K7DTYX2ZUK2NOQMZB \
  | 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: 02c49d7749f2be39e2facd15a6ba0cc8504991f502e57006bc0eb7be900351f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804dcb66adc46b72774d04f1db3c31007d13f0db917e93961fe90a087c45b7dd",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-12T13:39:54Z",
    "title_canon_sha256": "b8eb1f0ea783c8b3b3e9de94717135ea88e1d508740c7d2e01bcd7761e8f9d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2545",
    "kind": "arxiv",
    "version": 1
  }
}