{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HB27J5A2L5KF3RVOWUJGVWMIQJ","short_pith_number":"pith:HB27J5A2","canonical_record":{"source":{"id":"1608.03289","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-10T20:05:33Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"8f3f5bba85f453b4ef7956fa54238864e82445300d1e532eb08e207269d7a249","abstract_canon_sha256":"95070bc3f3d0c5e2df2e07d634611afb3f38aef32b0bf31bcae79be02fb796c1"},"schema_version":"1.0"},"canonical_sha256":"3875f4f41a5f545dc6aeb5126ad98882672855af611a5c14f8e0c701dda0ae41","source":{"kind":"arxiv","id":"1608.03289","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.03289","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1608.03289v2","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03289","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"HB27J5A2L5KF","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HB27J5A2L5KF3RVO","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HB27J5A2","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HB27J5A2L5KF3RVOWUJGVWMIQJ","target":"record","payload":{"canonical_record":{"source":{"id":"1608.03289","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-10T20:05:33Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"8f3f5bba85f453b4ef7956fa54238864e82445300d1e532eb08e207269d7a249","abstract_canon_sha256":"95070bc3f3d0c5e2df2e07d634611afb3f38aef32b0bf31bcae79be02fb796c1"},"schema_version":"1.0"},"canonical_sha256":"3875f4f41a5f545dc6aeb5126ad98882672855af611a5c14f8e0c701dda0ae41","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:01.960355Z","signature_b64":"7hSMv4KKJE3Vc4BCuDyoNCxJe4TXiqZ/Qe0RIc1FYfc367hpSQp7fRlQj1j2Zpw/8HcFUWwb39+EFvHseg+kAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3875f4f41a5f545dc6aeb5126ad98882672855af611a5c14f8e0c701dda0ae41","last_reissued_at":"2026-05-18T00:26:01.959867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:01.959867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.03289","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"62ZwtxYfCuLuOqHX0pZsbkQoEFfT82ZmJyVDKJyBybos3rKwQL7yqnmANtguyCwjql7HK8Hd9H3Hhrl+0/JeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T05:48:33.578190Z"},"content_sha256":"532ccc868666bfc11a5489821bb25f0fd389d4c8df186e6aafd0348afbbb2a55","schema_version":"1.0","event_id":"sha256:532ccc868666bfc11a5489821bb25f0fd389d4c8df186e6aafd0348afbbb2a55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HB27J5A2L5KF3RVOWUJGVWMIQJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bosonic quadratic Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jan Derezi\\'nski","submitted_at":"2016-08-10T20:05:33Z","abstract_excerpt":"We discuss self-adjoint operators given formally by expressions quadratic in bosonic creation and annihilation operators. We give conditions when they can be defined as self-adjoint operators, possibly after an infinite renormalization. We also discuss explicit formulas for their infimum.\n  Our main motivation comes from Local Quantum Field Theory, which furnishes interesting examples of bosonic quadratic Hamiltonians that require an infinite renormalization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03289","kind":"arxiv","version":2},"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":"2026-05-18T00:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3nIqF0t3WkOiZbTysRhR4cqhMv/l6A1iq3yPwAkdyftDv4ahbo4PEyDc3wv4k8pL1KAkCDCkKae+EX+aJeJMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T05:48:33.578551Z"},"content_sha256":"3f41bb88cb6abf7cd08025d830155955444c470003685c285f0d4a5c092515ff","schema_version":"1.0","event_id":"sha256:3f41bb88cb6abf7cd08025d830155955444c470003685c285f0d4a5c092515ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HB27J5A2L5KF3RVOWUJGVWMIQJ/bundle.json","state_url":"https://pith.science/pith/HB27J5A2L5KF3RVOWUJGVWMIQJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HB27J5A2L5KF3RVOWUJGVWMIQJ/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":"2026-06-22T05:48:33Z","links":{"resolver":"https://pith.science/pith/HB27J5A2L5KF3RVOWUJGVWMIQJ","bundle":"https://pith.science/pith/HB27J5A2L5KF3RVOWUJGVWMIQJ/bundle.json","state":"https://pith.science/pith/HB27J5A2L5KF3RVOWUJGVWMIQJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HB27J5A2L5KF3RVOWUJGVWMIQJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HB27J5A2L5KF3RVOWUJGVWMIQJ","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":"95070bc3f3d0c5e2df2e07d634611afb3f38aef32b0bf31bcae79be02fb796c1","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-10T20:05:33Z","title_canon_sha256":"8f3f5bba85f453b4ef7956fa54238864e82445300d1e532eb08e207269d7a249"},"schema_version":"1.0","source":{"id":"1608.03289","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.03289","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1608.03289v2","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03289","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"HB27J5A2L5KF","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HB27J5A2L5KF3RVO","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HB27J5A2","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:3f41bb88cb6abf7cd08025d830155955444c470003685c285f0d4a5c092515ff","target":"graph","created_at":"2026-05-18T00:26:01Z","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":"We discuss self-adjoint operators given formally by expressions quadratic in bosonic creation and annihilation operators. We give conditions when they can be defined as self-adjoint operators, possibly after an infinite renormalization. We also discuss explicit formulas for their infimum.\n  Our main motivation comes from Local Quantum Field Theory, which furnishes interesting examples of bosonic quadratic Hamiltonians that require an infinite renormalization.","authors_text":"Jan Derezi\\'nski","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-10T20:05:33Z","title":"Bosonic quadratic Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03289","kind":"arxiv","version":2},"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":"sha256:532ccc868666bfc11a5489821bb25f0fd389d4c8df186e6aafd0348afbbb2a55","target":"record","created_at":"2026-05-18T00:26:01Z","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":"95070bc3f3d0c5e2df2e07d634611afb3f38aef32b0bf31bcae79be02fb796c1","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-10T20:05:33Z","title_canon_sha256":"8f3f5bba85f453b4ef7956fa54238864e82445300d1e532eb08e207269d7a249"},"schema_version":"1.0","source":{"id":"1608.03289","kind":"arxiv","version":2}},"canonical_sha256":"3875f4f41a5f545dc6aeb5126ad98882672855af611a5c14f8e0c701dda0ae41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3875f4f41a5f545dc6aeb5126ad98882672855af611a5c14f8e0c701dda0ae41","first_computed_at":"2026-05-18T00:26:01.959867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:01.959867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7hSMv4KKJE3Vc4BCuDyoNCxJe4TXiqZ/Qe0RIc1FYfc367hpSQp7fRlQj1j2Zpw/8HcFUWwb39+EFvHseg+kAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:01.960355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.03289","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:532ccc868666bfc11a5489821bb25f0fd389d4c8df186e6aafd0348afbbb2a55","sha256:3f41bb88cb6abf7cd08025d830155955444c470003685c285f0d4a5c092515ff"],"state_sha256":"af13849726c73dcd0142db9318bf721ded349690ace54b2e1f1427a845d19ba6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMEuMuvgLTL02Rk9E75nAWoQnswKXnau6mOr92ilq8tDcIVWdITXzkalJab3mogGpc1p5nDp2I9BmjdjZ/aVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T05:48:33.580445Z","bundle_sha256":"48c5bc5b757ce04c18a0f57e7756f41fa0a3401526a0072100c894d4d45ecf9f"}}