Pith Number

pith:WRLPUTPA

pith:2015:WRLPUTPA55UGATGPKM3WVNQZZG

not attested not anchored not stored refs pending

Spectral stability of Schroedinger operators with subordinated complex potentials

David Krejcirik, Luca Fanelli, Luis Vega

arxiv:1506.01617 v3 · 2015-06-04 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRLPUTPA55UGATGPKM3WVNQZZG}

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	2026-05-18T00:00:09.662137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b456fa4de0ef68604ccf53376ab619c9918b9302f0307217ee2266ee326f0a3f

Aliases

arxiv: 1506.01617 · arxiv_version: 1506.01617v3 · doi: 10.48550/arxiv.1506.01617 · pith_short_12: WRLPUTPA55UG · pith_short_16: WRLPUTPA55UGATGP · pith_short_8: WRLPUTPA

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/WRLPUTPA55UGATGPKM3WVNQZZG \
  | 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: b456fa4de0ef68604ccf53376ab619c9918b9302f0307217ee2266ee326f0a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "580061ffc11dce56eaf2bb00eb0f61dcf785aef173806c38db4d26a172f16f7b",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-06-04T15:07:37Z",
    "title_canon_sha256": "7e83b699017cf68e0647724f7b911a1a2acabae85f046917251748fca74ea873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01617",
    "kind": "arxiv",
    "version": 3
  }
}