{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HVMFBHLXC3TXCB35EOQSKRITPM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"61465c09dac8e7ddef6f1a625eee9ca3d0cb70423c4b6d94ad65fedc7660e192","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-16T23:30:09Z","title_canon_sha256":"00047115866c06abe5e42019357bea89b55e59dbe7db9975abcc2a4abe31895d"},"schema_version":"1.0","source":{"id":"1807.06150","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06150","created_at":"2026-07-05T00:57:21Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06150v4","created_at":"2026-07-05T00:57:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06150","created_at":"2026-07-05T00:57:21Z"},{"alias_kind":"pith_short_12","alias_value":"HVMFBHLXC3TX","created_at":"2026-07-05T00:57:21Z"},{"alias_kind":"pith_short_16","alias_value":"HVMFBHLXC3TXCB35","created_at":"2026-07-05T00:57:21Z"},{"alias_kind":"pith_short_8","alias_value":"HVMFBHLX","created_at":"2026-07-05T00:57:21Z"}],"graph_snapshots":[{"event_id":"sha256:c1291a82d454ab932b0a52b1941b7219394ef289755da516b151fe5df24f73a5","target":"graph","created_at":"2026-07-05T00:57:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1807.06150/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using a generalization of the moment problem and the extremal properties of spectral measures corresponding to the selfadjoint extensions of a regular symmetric operator, we study point mass perturbations of spectral measures. We obtain general results for a wide class of operators and apply them to the analysis of point mass perturbations of spectral measures pertaining to Bessel and generalized Schr\\\"odinger operators.","authors_text":"Julio H. Toloza, Luis O. Silva, Rafael del Rio","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-16T23:30:09Z","title":"Point mass perturbations of spectral measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06150","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d97d10f6a63e76e9e8ed842de99eb5f9cbad403ef6ae94c0da46cf842418728f","target":"record","created_at":"2026-07-05T00:57:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"61465c09dac8e7ddef6f1a625eee9ca3d0cb70423c4b6d94ad65fedc7660e192","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-16T23:30:09Z","title_canon_sha256":"00047115866c06abe5e42019357bea89b55e59dbe7db9975abcc2a4abe31895d"},"schema_version":"1.0","source":{"id":"1807.06150","kind":"arxiv","version":4}},"canonical_sha256":"3d58509d7716e771077d23a12545137b1d50f4381d8ccd06326d28cc2650c18c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d58509d7716e771077d23a12545137b1d50f4381d8ccd06326d28cc2650c18c","first_computed_at":"2026-07-05T00:57:21.629200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:57:21.629200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v3iag5IPXESRNbhFJAoOPVARGqOWxmSoNtxkxJFpdkqPx6h4sVmdiP9NJPF+HbEv2jaLvj2oNHezH72qqKCvAg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:57:21.629600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06150","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d97d10f6a63e76e9e8ed842de99eb5f9cbad403ef6ae94c0da46cf842418728f","sha256:c1291a82d454ab932b0a52b1941b7219394ef289755da516b151fe5df24f73a5"],"state_sha256":"59fb2d4450da31fcb9a40899ca8bec49e573260c94cb7020e8557b96aec997c3"}