{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3OQH2X4THJXN6ONQY5RDOEVJRY","short_pith_number":"pith:3OQH2X4T","canonical_record":{"source":{"id":"1204.6017","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-04-26T19:13:11Z","cross_cats_sorted":[],"title_canon_sha256":"9067b1769d60b4804a4d7de77dc830deff7921fc770afe47663351442427724e","abstract_canon_sha256":"42a9a4c98df19751b5604ae56c0647320bff719d804582b238b6ab5f91dbc5e2"},"schema_version":"1.0"},"canonical_sha256":"dba07d5f933a6edf39b0c7623712a98e3c39dbfedcb8761e8d4e33aa5edb3904","source":{"kind":"arxiv","id":"1204.6017","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6017","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6017v1","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6017","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"3OQH2X4THJXN","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"3OQH2X4THJXN6ONQ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"3OQH2X4T","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3OQH2X4THJXN6ONQY5RDOEVJRY","target":"record","payload":{"canonical_record":{"source":{"id":"1204.6017","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-04-26T19:13:11Z","cross_cats_sorted":[],"title_canon_sha256":"9067b1769d60b4804a4d7de77dc830deff7921fc770afe47663351442427724e","abstract_canon_sha256":"42a9a4c98df19751b5604ae56c0647320bff719d804582b238b6ab5f91dbc5e2"},"schema_version":"1.0"},"canonical_sha256":"dba07d5f933a6edf39b0c7623712a98e3c39dbfedcb8761e8d4e33aa5edb3904","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:50.061868Z","signature_b64":"HA9oXIcrxGHJ8eCGYxlqC5cn5GDCm0g5lny7GUie0r5VjBJGIHnr+4TtZYXvkNs+NVsTlqFdzsdOp4Xc0jxpCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dba07d5f933a6edf39b0c7623712a98e3c39dbfedcb8761e8d4e33aa5edb3904","last_reissued_at":"2026-05-18T03:33:50.061174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:50.061174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.6017","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S1mi4OpWwyV6Heuj2oi8CayNcaHc4v5tIQBznUf+klbCQ9O3GRkT8hia+BlIgeY4dg0kYCWSczN2/WgJrG26DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:18:49.518454Z"},"content_sha256":"b3cbac0bad6a2a5505b8d1a3b84f78716f4f4ba3da2291784cb553ccb97d4071","schema_version":"1.0","event_id":"sha256:b3cbac0bad6a2a5505b8d1a3b84f78716f4f4ba3da2291784cb553ccb97d4071"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3OQH2X4THJXN6ONQY5RDOEVJRY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controllability of the bilinear Schr\\\"odinger equation with several controls and application to a 3D molecule","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"INRIA Saclay - Ile de France / CMAP Centre de Math\\'ematiques Appliqu\\'ees), Marco Caponigro (CCIB), Mario Sigalotti (INRIA Saclay - Ile de France / CMAP Centre de Math\\'ematiques Appliqu\\'ees), Ugo Boscain (CMAP","submitted_at":"2012-04-26T19:13:11Z","abstract_excerpt":"We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schr\\\"odinger equation, with wavefunction varying in the unit sphere of an infinite-dimensional Hilbert space and with several control potentials, under the assumption that the internal Hamiltonian has discrete spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6017","kind":"arxiv","version":1},"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":"2026-05-18T03:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2hyuTB2jLN4Y4AXtAo+oKHEkDrrDxx3RDm5BAiZuntOpo+Lq+oazxecWONErXO4YXtxclorBCgKfOrEyE8BhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:18:49.518816Z"},"content_sha256":"bd8f47fc3a067430cae4bb38608897887c364e49a27a3cded4c9336c360e7f68","schema_version":"1.0","event_id":"sha256:bd8f47fc3a067430cae4bb38608897887c364e49a27a3cded4c9336c360e7f68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3OQH2X4THJXN6ONQY5RDOEVJRY/bundle.json","state_url":"https://pith.science/pith/3OQH2X4THJXN6ONQY5RDOEVJRY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3OQH2X4THJXN6ONQY5RDOEVJRY/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":"2026-06-03T20:18:49Z","links":{"resolver":"https://pith.science/pith/3OQH2X4THJXN6ONQY5RDOEVJRY","bundle":"https://pith.science/pith/3OQH2X4THJXN6ONQY5RDOEVJRY/bundle.json","state":"https://pith.science/pith/3OQH2X4THJXN6ONQY5RDOEVJRY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3OQH2X4THJXN6ONQY5RDOEVJRY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3OQH2X4THJXN6ONQY5RDOEVJRY","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":"42a9a4c98df19751b5604ae56c0647320bff719d804582b238b6ab5f91dbc5e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-04-26T19:13:11Z","title_canon_sha256":"9067b1769d60b4804a4d7de77dc830deff7921fc770afe47663351442427724e"},"schema_version":"1.0","source":{"id":"1204.6017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6017","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6017v1","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6017","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"3OQH2X4THJXN","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"3OQH2X4THJXN6ONQ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"3OQH2X4T","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:bd8f47fc3a067430cae4bb38608897887c364e49a27a3cded4c9336c360e7f68","target":"graph","created_at":"2026-05-18T03:33:50Z","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 show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schr\\\"odinger equation, with wavefunction varying in the unit sphere of an infinite-dimensional Hilbert space and with several control potentials, under the assumption that the internal Hamiltonian has discrete spectrum.","authors_text":"INRIA Saclay - Ile de France / CMAP Centre de Math\\'ematiques Appliqu\\'ees), Marco Caponigro (CCIB), Mario Sigalotti (INRIA Saclay - Ile de France / CMAP Centre de Math\\'ematiques Appliqu\\'ees), Ugo Boscain (CMAP","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-04-26T19:13:11Z","title":"Controllability of the bilinear Schr\\\"odinger equation with several controls and application to a 3D molecule"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6017","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:b3cbac0bad6a2a5505b8d1a3b84f78716f4f4ba3da2291784cb553ccb97d4071","target":"record","created_at":"2026-05-18T03:33:50Z","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":"42a9a4c98df19751b5604ae56c0647320bff719d804582b238b6ab5f91dbc5e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-04-26T19:13:11Z","title_canon_sha256":"9067b1769d60b4804a4d7de77dc830deff7921fc770afe47663351442427724e"},"schema_version":"1.0","source":{"id":"1204.6017","kind":"arxiv","version":1}},"canonical_sha256":"dba07d5f933a6edf39b0c7623712a98e3c39dbfedcb8761e8d4e33aa5edb3904","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dba07d5f933a6edf39b0c7623712a98e3c39dbfedcb8761e8d4e33aa5edb3904","first_computed_at":"2026-05-18T03:33:50.061174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:50.061174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HA9oXIcrxGHJ8eCGYxlqC5cn5GDCm0g5lny7GUie0r5VjBJGIHnr+4TtZYXvkNs+NVsTlqFdzsdOp4Xc0jxpCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:50.061868Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.6017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3cbac0bad6a2a5505b8d1a3b84f78716f4f4ba3da2291784cb553ccb97d4071","sha256:bd8f47fc3a067430cae4bb38608897887c364e49a27a3cded4c9336c360e7f68"],"state_sha256":"55b1e688119d224212a822bbee463b7d12a9d27de5a2dc1a5ceed8f18794c6e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"te9lmkGHQMlRxdhCO3LQQpV9+DPptmnqf7lzaK4DXS/UcYP9JNCz/k4zxsXx9H81EiOkyO9O6VtKJf16K8AHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:18:49.520917Z","bundle_sha256":"7b1e0501644e752d77325419b50ab23fb32475f5a436fc27aea31976c11ab5e2"}}