{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2TEP43I2TX7B4AMMINS6E5XTKU","short_pith_number":"pith:2TEP43I2","canonical_record":{"source":{"id":"1510.08263","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-28T11:44:14Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"f8720d41f27801a1ec3a93337c2de5a6d19a10bb3e74daa5e752fbea645db8bf","abstract_canon_sha256":"9a7a52a70fbd6ceecfce0cc6a0eebfab9f9081d85d158fd326787721d06434fd"},"schema_version":"1.0"},"canonical_sha256":"d4c8fe6d1a9dfe1e018c4365e276f355309396847a2a1dd0bacea1d9910e838d","source":{"kind":"arxiv","id":"1510.08263","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08263","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08263v1","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08263","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"2TEP43I2TX7B","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2TEP43I2TX7B4AMM","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2TEP43I2","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2TEP43I2TX7B4AMMINS6E5XTKU","target":"record","payload":{"canonical_record":{"source":{"id":"1510.08263","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-28T11:44:14Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"f8720d41f27801a1ec3a93337c2de5a6d19a10bb3e74daa5e752fbea645db8bf","abstract_canon_sha256":"9a7a52a70fbd6ceecfce0cc6a0eebfab9f9081d85d158fd326787721d06434fd"},"schema_version":"1.0"},"canonical_sha256":"d4c8fe6d1a9dfe1e018c4365e276f355309396847a2a1dd0bacea1d9910e838d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:36.698434Z","signature_b64":"+k1PP1ZSRA2xNH19SafWOXH/NMGxyuwg7bK5qrArggqE1piRUiSVqAkiWMS/Xp2jhcjbiJyNyivKUjFf9TJFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4c8fe6d1a9dfe1e018c4365e276f355309396847a2a1dd0bacea1d9910e838d","last_reissued_at":"2026-05-18T01:28:36.697771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:36.697771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.08263","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":"2026-05-18T01:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AtoA5VpPdF42OldgBk4ko+9Ol9xC8HwcymfxtVfciOuKCuak7V/AI1fejBUoDRE70QQUH1BsVdKgTWuzN6fMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:08:49.342934Z"},"content_sha256":"8993560a203aec2f40e406c40088a5be12142320dd53446d75fe99b21ec4d736","schema_version":"1.0","event_id":"sha256:8993560a203aec2f40e406c40088a5be12142320dd53446d75fe99b21ec4d736"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2TEP43I2TX7B4AMMINS6E5XTKU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperbolic Flows and the Question of Quantum Chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Geoffrey L. Sewell","submitted_at":"2015-10-28T11:44:14Z","abstract_excerpt":"Hyperbolic flows, as formulated by Anosov, are the prototypes of chaotic evolutions in classical dynamical systems. Here we provide a concise updated account of their quantum counterparts originally formulated by Emch, Narnhofer, Thirring and Sewell within the operator algebraic setting of quantum theory: and we discuss their bearing on the question of quantum chaos."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08263","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":"2026-05-18T01:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"haaF1lwPyiUZnu4L4uyPStQ+OxGqf4HD1tC+6CB6DCvzdayVDV79VWfXDOisNMhKOSmeKvZJ4VIK2p0ytE26DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:08:49.343268Z"},"content_sha256":"96e21ca5da1b1ba91ce022f6ba3399672635d0b31e1976fbb5902b49130e3410","schema_version":"1.0","event_id":"sha256:96e21ca5da1b1ba91ce022f6ba3399672635d0b31e1976fbb5902b49130e3410"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2TEP43I2TX7B4AMMINS6E5XTKU/bundle.json","state_url":"https://pith.science/pith/2TEP43I2TX7B4AMMINS6E5XTKU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2TEP43I2TX7B4AMMINS6E5XTKU/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":"2026-06-27T16:08:49Z","links":{"resolver":"https://pith.science/pith/2TEP43I2TX7B4AMMINS6E5XTKU","bundle":"https://pith.science/pith/2TEP43I2TX7B4AMMINS6E5XTKU/bundle.json","state":"https://pith.science/pith/2TEP43I2TX7B4AMMINS6E5XTKU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2TEP43I2TX7B4AMMINS6E5XTKU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2TEP43I2TX7B4AMMINS6E5XTKU","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":"9a7a52a70fbd6ceecfce0cc6a0eebfab9f9081d85d158fd326787721d06434fd","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-28T11:44:14Z","title_canon_sha256":"f8720d41f27801a1ec3a93337c2de5a6d19a10bb3e74daa5e752fbea645db8bf"},"schema_version":"1.0","source":{"id":"1510.08263","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08263","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08263v1","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08263","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"2TEP43I2TX7B","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2TEP43I2TX7B4AMM","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2TEP43I2","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:96e21ca5da1b1ba91ce022f6ba3399672635d0b31e1976fbb5902b49130e3410","target":"graph","created_at":"2026-05-18T01:28:36Z","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":"Hyperbolic flows, as formulated by Anosov, are the prototypes of chaotic evolutions in classical dynamical systems. Here we provide a concise updated account of their quantum counterparts originally formulated by Emch, Narnhofer, Thirring and Sewell within the operator algebraic setting of quantum theory: and we discuss their bearing on the question of quantum chaos.","authors_text":"Geoffrey L. Sewell","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-28T11:44:14Z","title":"Hyperbolic Flows and the Question of Quantum Chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08263","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":"sha256:8993560a203aec2f40e406c40088a5be12142320dd53446d75fe99b21ec4d736","target":"record","created_at":"2026-05-18T01:28:36Z","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":"9a7a52a70fbd6ceecfce0cc6a0eebfab9f9081d85d158fd326787721d06434fd","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-28T11:44:14Z","title_canon_sha256":"f8720d41f27801a1ec3a93337c2de5a6d19a10bb3e74daa5e752fbea645db8bf"},"schema_version":"1.0","source":{"id":"1510.08263","kind":"arxiv","version":1}},"canonical_sha256":"d4c8fe6d1a9dfe1e018c4365e276f355309396847a2a1dd0bacea1d9910e838d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4c8fe6d1a9dfe1e018c4365e276f355309396847a2a1dd0bacea1d9910e838d","first_computed_at":"2026-05-18T01:28:36.697771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:36.697771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+k1PP1ZSRA2xNH19SafWOXH/NMGxyuwg7bK5qrArggqE1piRUiSVqAkiWMS/Xp2jhcjbiJyNyivKUjFf9TJFDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:36.698434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08263","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8993560a203aec2f40e406c40088a5be12142320dd53446d75fe99b21ec4d736","sha256:96e21ca5da1b1ba91ce022f6ba3399672635d0b31e1976fbb5902b49130e3410"],"state_sha256":"f15d44ca4cc04925a831b726660d85ea35ded50889debc04e4a1ebb74dd0ba6e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T0mqzTZT/gkZYM4S/oO1vtPCJYi6zF7KD5os3CKJC7yokcqSV32qfXlZI+iNOyI59U4P1V7Ys/wF5UroiIn4AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T16:08:49.345113Z","bundle_sha256":"4a7011ae7a97725807efc8670c52c158d041a2d4007762c6120ef89aa730676a"}}