Pith Number

pith:AU5PBYXH

pith:2010:AU5PBYXHQE7J4WMYVCSDGSRPTP

not attested not anchored not stored refs pending

Weyl-Titchmarsh Theory for Schroedinger Operators with Strongly Singular Potentials

Aleksey Kostenko, Alexander Sakhnovich, Gerald Teschl

arxiv:1007.0136 v3 · 2010-07-01 · math.SP · math-ph · 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{AU5PBYXHQE7J4WMYVCSDGSRPTP}

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	2026-05-18T03:57:25.444991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053af0e2e7813e9e5998a8a4334a2f9bc875f449b6c25afbf2c5de369a633b4a

Aliases

arxiv: 1007.0136 · arxiv_version: 1007.0136v3 · doi: 10.48550/arxiv.1007.0136 · pith_short_12: AU5PBYXHQE7J · pith_short_16: AU5PBYXHQE7J4WMY · pith_short_8: AU5PBYXH

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/AU5PBYXHQE7J4WMYVCSDGSRPTP \
  | 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: 053af0e2e7813e9e5998a8a4334a2f9bc875f449b6c25afbf2c5de369a633b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "930fd3d0b1dde4bf287036b0967581af5497d3825a109878b1e78c63fc2c9bba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-07-01T11:46:02Z",
    "title_canon_sha256": "240bff3cdc938e0f07a5893b4934170c3d45fbb488de8d4f098304f81cc1f9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0136",
    "kind": "arxiv",
    "version": 3
  }
}