Pith Number

pith:5BH35XXY

pith:2009:5BH35XXYY73YV4KWI57SFR76IY

not attested not anchored not stored refs pending

Lower bound on the spectrum of the Schr\"odinger operator in the plane with delta-potential supported by a curve

Igor Lobanov, Igor Popov, Vladimir Lotoreichik

arxiv:0907.1543 v1 · 2009-07-09 · 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{5BH35XXYY73YV4KWI57SFR76IY}

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	2026-05-18T04:36:40.511257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84fbedef8c7f78af156477f22c7fe46162123163edf2c97ef93f01c684026de

Aliases

arxiv: 0907.1543 · arxiv_version: 0907.1543v1 · doi: 10.48550/arxiv.0907.1543 · pith_short_12: 5BH35XXYY73Y · pith_short_16: 5BH35XXYY73YV4KW · pith_short_8: 5BH35XXY

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/5BH35XXYY73YV4KWI57SFR76IY \
  | 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: e84fbedef8c7f78af156477f22c7fe46162123163edf2c97ef93f01c684026de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c4062218e9d95923c5132fdfea5ffd0cb566fd1f2cad192c33cff7d6f49b85",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-07-09T13:39:10Z",
    "title_canon_sha256": "9acfc0f2a622d5f76cb5f13d624508c33ed65cfe3152ab4121a2f7db0006fea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1543",
    "kind": "arxiv",
    "version": 1
  }
}