Pith Number

pith:XHYVVAXM

pith:2018:XHYVVAXMQLOWN3NXR45SAQCWV7

not attested not anchored not stored refs pending

Unique continuation and lifting of spectral band edges of Schr\"odinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)

Albrecht Seelmann, Ivan Veselic, Ivica Naki\'c, Martin Tautenhahn, Matthias T\"aufer

arxiv:1804.07816 v2 · 2018-04-20 · 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{XHYVVAXMQLOWN3NXR45SAQCWV7}

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.

Cited by

1 paper in Pith

Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Receipt and verification

First computed	2026-07-05T01:27:16.692734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f15a82ec82dd66edb78f3b204056afe6936d69b9663ab9a561c037920dc159

Aliases

arxiv: 1804.07816 · arxiv_version: 1804.07816v2 · doi: 10.48550/arxiv.1804.07816 · pith_short_12: XHYVVAXMQLOW · pith_short_16: XHYVVAXMQLOWN3NX · pith_short_8: XHYVVAXM

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/XHYVVAXMQLOWN3NXR45SAQCWV7 \
  | 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: b9f15a82ec82dd66edb78f3b204056afe6936d69b9663ab9a561c037920dc159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9cc58791fbb22746911bb125b9cdbeb191d40f4cc21455380815148a75985c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-04-20T20:33:25Z",
    "title_canon_sha256": "15a2ce64dd71b0a2ba0b4f6d30b04d1b98499e05508a525ec6f561a7fd91b64d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07816",
    "kind": "arxiv",
    "version": 2
  }
}