Pith Number

pith:OL4NFYWM

pith:2012:OL4NFYWM6M4BW6B7BXL26BPYMG

not attested not anchored not stored refs pending

Spectral theory of Schr\"odinger operators with infinitely many point interactions and radial positive definite functions

Konrad Schm\"udgen, Mark M. Malamud

arxiv:1208.1203 v1 · 2012-08-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL4NFYWM6M4BW6B7BXL26BPYMG}

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	2026-05-18T03:49:20.381369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f8d2e2ccf3381b783f0dd7af05f861a7de0e19adefb03e096d39887c413ef6

Aliases

arxiv: 1208.1203 · arxiv_version: 1208.1203v1 · doi: 10.48550/arxiv.1208.1203 · pith_short_12: OL4NFYWM6M4B · pith_short_16: OL4NFYWM6M4BW6B7 · pith_short_8: OL4NFYWM

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/OL4NFYWM6M4BW6B7BXL26BPYMG \
  | 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: 72f8d2e2ccf3381b783f0dd7af05f861a7de0e19adefb03e096d39887c413ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84305740067d5ff46c46502fc06ba8a32e4da39d9b775ab40efe8ce016fc2aa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-06T16:29:47Z",
    "title_canon_sha256": "51da8aa8b65246d5123df8132b505f244a5211aa4243b8673f44b54479e8d350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1203",
    "kind": "arxiv",
    "version": 1
  }
}