{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DVI5O4ELDL7WZBE7NGN6ENOUOT","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":"7863c1acda04761d542f23df4f380e27e1384a75a70134f982339a669c00494b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-03-01T17:58:14Z","title_canon_sha256":"0274d7815a056f4599762b527e792472dd937f4ca9b66e787e288f55d3423304"},"schema_version":"1.0","source":{"id":"1603.00382","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00382","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00382v1","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00382","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"pith_short_12","alias_value":"DVI5O4ELDL7W","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DVI5O4ELDL7WZBE7","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DVI5O4EL","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:d3bc102afd655dfb3858f76e0a36065342e98ebc08f9e26d21427802e76a9415","target":"graph","created_at":"2026-05-18T01:19:45Z","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"},"paper":{"abstract_excerpt":"Let $H$ be a separable Hilbert space, $A_c:\\mathcal D_c\\subset H\\to H$ a densely defined unbounded operator, bounded from below, let $\\mathcal D_{\\min}$ be the domain of the closure of $A_c$ and $\\mathcal D_{\\max}$ that of the adjoint. Assume that $\\mathcal D_{\\max}$ with the graph norm is compactly contained in $H$ and that $\\mathcal D_{\\min}$ has finite positive codimension in $\\mathcal D_{\\max}$. Then the set of domains of selfadjoint extensions of $A_c$ has the structure of a finite-dimensional manifold $\\mathfrak {SA}$ and the spectrum of each of its selfadjoint extensions is bounded from","authors_text":"Gerardo A. Mendoza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-03-01T17:58:14Z","title":"Spectrally unstable domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00382","kind":"arxiv","version":1},"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":"sha256:0deb146f333eea35455cf0ae2b02365ec11b73e8ab55760deb18a0a39ba42231","target":"record","created_at":"2026-05-18T01:19:45Z","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":"7863c1acda04761d542f23df4f380e27e1384a75a70134f982339a669c00494b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-03-01T17:58:14Z","title_canon_sha256":"0274d7815a056f4599762b527e792472dd937f4ca9b66e787e288f55d3423304"},"schema_version":"1.0","source":{"id":"1603.00382","kind":"arxiv","version":1}},"canonical_sha256":"1d51d7708b1aff6c849f699be235d474ecad20322c9db3781feb3339dca75dee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d51d7708b1aff6c849f699be235d474ecad20322c9db3781feb3339dca75dee","first_computed_at":"2026-05-18T01:19:45.226436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:45.226436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yj6Co53yBeSlNnU9D//Bev75AdNA1w9XX6Tf0FELAf7jzadtqoTwRShVQcOVusps6nG9wGRTbJaU2qTMLcG0Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:45.227201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00382","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0deb146f333eea35455cf0ae2b02365ec11b73e8ab55760deb18a0a39ba42231","sha256:d3bc102afd655dfb3858f76e0a36065342e98ebc08f9e26d21427802e76a9415"],"state_sha256":"0341bad5ccaa44dc58354b725bd4e70d573744f7149babfe0d0c20d0abf4d346"}