Pith Number

pith:TY2CK4AP

pith:2022:TY2CK4AP5EUIPMLK6WS2HC7RAE

not attested not anchored not stored refs pending

Resolvent estimates for one-dimensional Schr\"odinger operators with complex potentials

Antonio Arnal, Petr Siegl

arxiv:2203.15938 v2 · 2022-03-29 · math.SP · math-ph · math.FA · 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{TY2CK4AP5EUIPMLK6WS2HC7RAE}

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

The relativistic rotated harmonic oscillator

Receipt and verification

First computed	2026-07-05T11:54:37.317249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3425700fe92887b16af5a5a38bf1012703efed3adf321336ba6096feea4505

Aliases

arxiv: 2203.15938 · arxiv_version: 2203.15938v2 · doi: 10.48550/arxiv.2203.15938 · pith_short_12: TY2CK4AP5EUI · pith_short_16: TY2CK4AP5EUIPMLK · pith_short_8: TY2CK4AP

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/TY2CK4AP5EUIPMLK6WS2HC7RAE \
  | 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: 9e3425700fe92887b16af5a5a38bf1012703efed3adf321336ba6096feea4505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b772d0e3d16893040ec456af83c7fbf3c28cdf24fdc479c233aa62e66fb572",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2022-03-29T22:40:40Z",
    "title_canon_sha256": "f9654fbf00469f92ce8f41bd17c58ccf9e62332466e7c5a88b2d738f4a31a75b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15938",
    "kind": "arxiv",
    "version": 2
  }
}