{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NDQ4JXW5I6QTJU5JZPBWK4NVYZ","short_pith_number":"pith:NDQ4JXW5","canonical_record":{"source":{"id":"1206.0282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-01T19:27:27Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"cda5d764e411fc8e1b843688c741e363f3dc392532077e9dab0d43eb29082bb0","abstract_canon_sha256":"74a1ace0e9162dc63923f5339b882bd367c135b506791fae4be919d7b55f9cbb"},"schema_version":"1.0"},"canonical_sha256":"68e1c4dedd47a134d3a9cbc36571b5c6496534be2f561e760265460fd7c61ea5","source":{"kind":"arxiv","id":"1206.0282","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0282","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0282v2","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0282","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"pith_short_12","alias_value":"NDQ4JXW5I6QT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NDQ4JXW5I6QTJU5J","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NDQ4JXW5","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NDQ4JXW5I6QTJU5JZPBWK4NVYZ","target":"record","payload":{"canonical_record":{"source":{"id":"1206.0282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-01T19:27:27Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"cda5d764e411fc8e1b843688c741e363f3dc392532077e9dab0d43eb29082bb0","abstract_canon_sha256":"74a1ace0e9162dc63923f5339b882bd367c135b506791fae4be919d7b55f9cbb"},"schema_version":"1.0"},"canonical_sha256":"68e1c4dedd47a134d3a9cbc36571b5c6496534be2f561e760265460fd7c61ea5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:08.839426Z","signature_b64":"JvAxSn/MUFDQqQieeVf2hItywE+yO/4NJ3k+/Hobe6BevmwlxNhYjnYSS/qZ5HQ5qHKXmCxFUsAO9SDRtgOECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68e1c4dedd47a134d3a9cbc36571b5c6496534be2f561e760265460fd7c61ea5","last_reissued_at":"2026-05-18T03:26:08.838898Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:08.838898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.0282","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":"2026-05-18T03:26:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H9QxTW+i1/3U0qIo2Yca+OsGh6kLO1Hr/HGqfL3z2Z1w7qLRb/QGBf99ikM9z+JVFzZUeXsWbiR/km8PLSqzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T04:00:20.662390Z"},"content_sha256":"e0b0fb38a040b84c22ccae9f5f0c2800e4f0d822886bc145b69bce04e586a0fa","schema_version":"1.0","event_id":"sha256:e0b0fb38a040b84c22ccae9f5f0c2800e4f0d822886bc145b69bce04e586a0fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NDQ4JXW5I6QTJU5JZPBWK4NVYZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Prequantum transfer operator for symplectic Anosov diffeomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Fr\\'ed\\'eric Faure (IF), Masato Tsujii","submitted_at":"2012-06-01T19:27:27Z","abstract_excerpt":"We define the prequantization of a symplectic Anosov diffeomorphism f:M-> M, which is a U(1) extension of the diffeomorphism f preserving an associated specific connection, and study the spectral properties of the associated transfer operator, called prequantum transfer operator. This is a model for the transfer operators associated to geodesic flows on negatively curved manifolds (or contact Anosov flows). We restrict the prequantum transfer operator to the N-th Fourier mode with respect to the U(1) action and investigate the spectral property in the limit N->infinity, regarding the transfer "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0282","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":"2026-05-18T03:26:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PkHfKaJXvD211qk46JaQcVGiP1lc7yHnff382gIEFIYRZvu9N6sVcQqeWbcUXxnH2OQYUCMQfk+g5cUUty6oDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T04:00:20.662742Z"},"content_sha256":"e29ecb95be03c25572bdab5fe938e7284e1113f8a32df97482fc154cf97eb211","schema_version":"1.0","event_id":"sha256:e29ecb95be03c25572bdab5fe938e7284e1113f8a32df97482fc154cf97eb211"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NDQ4JXW5I6QTJU5JZPBWK4NVYZ/bundle.json","state_url":"https://pith.science/pith/NDQ4JXW5I6QTJU5JZPBWK4NVYZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NDQ4JXW5I6QTJU5JZPBWK4NVYZ/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":"2026-06-07T04:00:20Z","links":{"resolver":"https://pith.science/pith/NDQ4JXW5I6QTJU5JZPBWK4NVYZ","bundle":"https://pith.science/pith/NDQ4JXW5I6QTJU5JZPBWK4NVYZ/bundle.json","state":"https://pith.science/pith/NDQ4JXW5I6QTJU5JZPBWK4NVYZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NDQ4JXW5I6QTJU5JZPBWK4NVYZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NDQ4JXW5I6QTJU5JZPBWK4NVYZ","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":"74a1ace0e9162dc63923f5339b882bd367c135b506791fae4be919d7b55f9cbb","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-01T19:27:27Z","title_canon_sha256":"cda5d764e411fc8e1b843688c741e363f3dc392532077e9dab0d43eb29082bb0"},"schema_version":"1.0","source":{"id":"1206.0282","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0282","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0282v2","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0282","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"pith_short_12","alias_value":"NDQ4JXW5I6QT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NDQ4JXW5I6QTJU5J","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NDQ4JXW5","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:e29ecb95be03c25572bdab5fe938e7284e1113f8a32df97482fc154cf97eb211","target":"graph","created_at":"2026-05-18T03:26:08Z","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 define the prequantization of a symplectic Anosov diffeomorphism f:M-> M, which is a U(1) extension of the diffeomorphism f preserving an associated specific connection, and study the spectral properties of the associated transfer operator, called prequantum transfer operator. This is a model for the transfer operators associated to geodesic flows on negatively curved manifolds (or contact Anosov flows). We restrict the prequantum transfer operator to the N-th Fourier mode with respect to the U(1) action and investigate the spectral property in the limit N->infinity, regarding the transfer ","authors_text":"Fr\\'ed\\'eric Faure (IF), Masato Tsujii","cross_cats":["math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-01T19:27:27Z","title":"Prequantum transfer operator for symplectic Anosov diffeomorphism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0282","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:e0b0fb38a040b84c22ccae9f5f0c2800e4f0d822886bc145b69bce04e586a0fa","target":"record","created_at":"2026-05-18T03:26:08Z","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":"74a1ace0e9162dc63923f5339b882bd367c135b506791fae4be919d7b55f9cbb","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-01T19:27:27Z","title_canon_sha256":"cda5d764e411fc8e1b843688c741e363f3dc392532077e9dab0d43eb29082bb0"},"schema_version":"1.0","source":{"id":"1206.0282","kind":"arxiv","version":2}},"canonical_sha256":"68e1c4dedd47a134d3a9cbc36571b5c6496534be2f561e760265460fd7c61ea5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68e1c4dedd47a134d3a9cbc36571b5c6496534be2f561e760265460fd7c61ea5","first_computed_at":"2026-05-18T03:26:08.838898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:08.838898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JvAxSn/MUFDQqQieeVf2hItywE+yO/4NJ3k+/Hobe6BevmwlxNhYjnYSS/qZ5HQ5qHKXmCxFUsAO9SDRtgOECg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:08.839426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0282","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0b0fb38a040b84c22ccae9f5f0c2800e4f0d822886bc145b69bce04e586a0fa","sha256:e29ecb95be03c25572bdab5fe938e7284e1113f8a32df97482fc154cf97eb211"],"state_sha256":"58909c9c94daa0451f9170600f37d01b2940719f6a989de378f733c12ed5de1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZrNADka4B1YdFWtsHe4bmQr1tO2QkwqivdOR95/kDgauqxmCxz1Lbs39IYh2D0r3m/6Fgy2EofnUBPAAzVeQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T04:00:20.664732Z","bundle_sha256":"45dc29408293e8051d7b5d5df288ae009e2d028e7a746df61bb4ef2a32fe4268"}}