{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BNXVCC62WSM4F7EGMUXNN4G5V6","short_pith_number":"pith:BNXVCC62","canonical_record":{"source":{"id":"1404.1304","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-04-04T16:33:26Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","math.OA","math.SP"],"title_canon_sha256":"0e38c5be9f5c7f065a3cbbc0846c115ee83b9ed204b28fa46c439305182899c5","abstract_canon_sha256":"1953eb79ea203b54e543e77fed5cb048f49eced58a21416496bdbe58a2f43b14"},"schema_version":"1.0"},"canonical_sha256":"0b6f510bdab499c2fc86652ed6f0ddaf81a15d5f0e704f60d5af1a7e334a0f49","source":{"kind":"arxiv","id":"1404.1304","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1304","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1304v3","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1304","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"BNXVCC62WSM4","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BNXVCC62WSM4F7EG","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BNXVCC62","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BNXVCC62WSM4F7EGMUXNN4G5V6","target":"record","payload":{"canonical_record":{"source":{"id":"1404.1304","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-04-04T16:33:26Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","math.OA","math.SP"],"title_canon_sha256":"0e38c5be9f5c7f065a3cbbc0846c115ee83b9ed204b28fa46c439305182899c5","abstract_canon_sha256":"1953eb79ea203b54e543e77fed5cb048f49eced58a21416496bdbe58a2f43b14"},"schema_version":"1.0"},"canonical_sha256":"0b6f510bdab499c2fc86652ed6f0ddaf81a15d5f0e704f60d5af1a7e334a0f49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:46.278327Z","signature_b64":"7xLqECcdFy/USW6qp8IRmP3vAzoykfwQJ0lfonqQ8BKx/BSpJ5MnZbt4dRNUtFpcA9eBOUdbvfTDdNNfQYiIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b6f510bdab499c2fc86652ed6f0ddaf81a15d5f0e704f60d5af1a7e334a0f49","last_reissued_at":"2026-05-18T02:42:46.277883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:46.277883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.1304","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k/sHRnqdj0PVWQDARXaZTVUivi2IrZEYcdvDw01skka7xsnaBmQfnjfcMAfEYk/Ys6jQYVfcSCR7Tc14TsxwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:24:49.133480Z"},"content_sha256":"404479299e60d3141186da99e3187ec675bff137484db8f34929dd46958d055f","schema_version":"1.0","event_id":"sha256:404479299e60d3141186da99e3187ec675bff137484db8f34929dd46958d055f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BNXVCC62WSM4F7EGMUXNN4G5V6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mathematical and physical aspects of complex symmetric operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math-ph","math.MP","math.OA","math.SP"],"primary_cat":"math.FA","authors_text":"Emil Prodan, Mihai Putinar, Stephan Ramon Garcia","submitted_at":"2014-04-04T16:33:26Z","abstract_excerpt":"Recent advances in the theory of complex symmetric operators are presented and related to current studies in non-hermitian quantum mechanics. The main themes of the survey are: the structure of complex symmetric operators, $C$-selfadjoint extensions of $C$-symmetric unbounded operators, resolvent estimates, reality of spectrum, bases of $C$-orthonormal vectors, and conjugate-linear symmetric operators. The main results are complemented by a variety of natural examples arising in field theory, quantum physics, and complex variables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1304","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tqJizWDAEbqwJ2kgiJZKCd3A5DxZKWIw/B9ojcXy6zIIaZv3UgBgosXhHduEcqPRr963bDsxbNRQ4oK/Ix3LCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:24:49.134194Z"},"content_sha256":"bc497407c8ba53094ec008b0154afb03cca725a04cab2a80f1e4c32c991ac0a3","schema_version":"1.0","event_id":"sha256:bc497407c8ba53094ec008b0154afb03cca725a04cab2a80f1e4c32c991ac0a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BNXVCC62WSM4F7EGMUXNN4G5V6/bundle.json","state_url":"https://pith.science/pith/BNXVCC62WSM4F7EGMUXNN4G5V6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BNXVCC62WSM4F7EGMUXNN4G5V6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T23:24:49Z","links":{"resolver":"https://pith.science/pith/BNXVCC62WSM4F7EGMUXNN4G5V6","bundle":"https://pith.science/pith/BNXVCC62WSM4F7EGMUXNN4G5V6/bundle.json","state":"https://pith.science/pith/BNXVCC62WSM4F7EGMUXNN4G5V6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BNXVCC62WSM4F7EGMUXNN4G5V6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BNXVCC62WSM4F7EGMUXNN4G5V6","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":"1953eb79ea203b54e543e77fed5cb048f49eced58a21416496bdbe58a2f43b14","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","math.OA","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-04-04T16:33:26Z","title_canon_sha256":"0e38c5be9f5c7f065a3cbbc0846c115ee83b9ed204b28fa46c439305182899c5"},"schema_version":"1.0","source":{"id":"1404.1304","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1304","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1304v3","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1304","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"BNXVCC62WSM4","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BNXVCC62WSM4F7EG","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BNXVCC62","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:bc497407c8ba53094ec008b0154afb03cca725a04cab2a80f1e4c32c991ac0a3","target":"graph","created_at":"2026-05-18T02:42:46Z","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":"Recent advances in the theory of complex symmetric operators are presented and related to current studies in non-hermitian quantum mechanics. The main themes of the survey are: the structure of complex symmetric operators, $C$-selfadjoint extensions of $C$-symmetric unbounded operators, resolvent estimates, reality of spectrum, bases of $C$-orthonormal vectors, and conjugate-linear symmetric operators. The main results are complemented by a variety of natural examples arising in field theory, quantum physics, and complex variables.","authors_text":"Emil Prodan, Mihai Putinar, Stephan Ramon Garcia","cross_cats":["cond-mat.other","math-ph","math.MP","math.OA","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-04-04T16:33:26Z","title":"Mathematical and physical aspects of complex symmetric operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1304","kind":"arxiv","version":3},"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":"sha256:404479299e60d3141186da99e3187ec675bff137484db8f34929dd46958d055f","target":"record","created_at":"2026-05-18T02:42:46Z","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":"1953eb79ea203b54e543e77fed5cb048f49eced58a21416496bdbe58a2f43b14","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","math.OA","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-04-04T16:33:26Z","title_canon_sha256":"0e38c5be9f5c7f065a3cbbc0846c115ee83b9ed204b28fa46c439305182899c5"},"schema_version":"1.0","source":{"id":"1404.1304","kind":"arxiv","version":3}},"canonical_sha256":"0b6f510bdab499c2fc86652ed6f0ddaf81a15d5f0e704f60d5af1a7e334a0f49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b6f510bdab499c2fc86652ed6f0ddaf81a15d5f0e704f60d5af1a7e334a0f49","first_computed_at":"2026-05-18T02:42:46.277883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:46.277883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7xLqECcdFy/USW6qp8IRmP3vAzoykfwQJ0lfonqQ8BKx/BSpJ5MnZbt4dRNUtFpcA9eBOUdbvfTDdNNfQYiIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:46.278327Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1304","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:404479299e60d3141186da99e3187ec675bff137484db8f34929dd46958d055f","sha256:bc497407c8ba53094ec008b0154afb03cca725a04cab2a80f1e4c32c991ac0a3"],"state_sha256":"7f61bb947db160b29b8b516df1b0e075a803edfcae84ef3a0a1b50699408db46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sXGnJNMzuEf36EwH9Vgml/r+gBv9mUZarBj6yx38WMQvRh3V4K/taY7nSW08LcLL4AlrVFo/a7oZsj3vEnZBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:24:49.138042Z","bundle_sha256":"e62c6084573e4d6ef2149215c270b8e910e1afb85136595b6058b2c45a7dcf95"}}