{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AZAU4QGKCB55MGOQSOWXGVJYVL","short_pith_number":"pith:AZAU4QGK","canonical_record":{"source":{"id":"1107.3509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-07-18T17:26:52Z","cross_cats_sorted":[],"title_canon_sha256":"d9b10210f78bb0d0ad92cb3ad072b96a8d729ef8010e6e7db8ee431f83a0dd85","abstract_canon_sha256":"eb1a1ccdfbe7b4628a29f7aeb068f1f9b0b27fb2fda639df017341c0c9b7eeec"},"schema_version":"1.0"},"canonical_sha256":"06414e40ca107bd619d093ad735538aad3ca3e14cadb1242f3a37ee24ac18b8d","source":{"kind":"arxiv","id":"1107.3509","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3509","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3509v1","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3509","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"pith_short_12","alias_value":"AZAU4QGKCB55","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AZAU4QGKCB55MGOQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AZAU4QGK","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AZAU4QGKCB55MGOQSOWXGVJYVL","target":"record","payload":{"canonical_record":{"source":{"id":"1107.3509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-07-18T17:26:52Z","cross_cats_sorted":[],"title_canon_sha256":"d9b10210f78bb0d0ad92cb3ad072b96a8d729ef8010e6e7db8ee431f83a0dd85","abstract_canon_sha256":"eb1a1ccdfbe7b4628a29f7aeb068f1f9b0b27fb2fda639df017341c0c9b7eeec"},"schema_version":"1.0"},"canonical_sha256":"06414e40ca107bd619d093ad735538aad3ca3e14cadb1242f3a37ee24ac18b8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:04.551288Z","signature_b64":"UcZPGQOFRKn2zG7gr1qrxyt5ZE0vJZuCXD8a4AdElvM/H+WGoyQ4vlrko+FXgXqBKKHDyTqymyKIhsH7QazYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06414e40ca107bd619d093ad735538aad3ca3e14cadb1242f3a37ee24ac18b8d","last_reissued_at":"2026-05-18T03:08:04.550386Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:04.550386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.3509","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":"2026-05-18T03:08:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"acYvpNuKbnXcsG1JO2SeCUZPBWZJkx65HbHaX+KEdOgwQ4kgka6xbp7EdExdSAVyNHw4AOZqYY3snZKLiPrQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:04:47.851842Z"},"content_sha256":"4ade6f347da99317ef109af9bc034f88c0aa629a0e068faa10f04ba412635f7f","schema_version":"1.0","event_id":"sha256:4ade6f347da99317ef109af9bc034f88c0aa629a0e068faa10f04ba412635f7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AZAU4QGKCB55MGOQSOWXGVJYVL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase Space Interpretation of Exponential Fermi Acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Benno Liebchen, Christoph Petri, Florian Lenz, Fotis K. Diakonos, Peter Schmelcher, Robert B\\\"uchner","submitted_at":"2011-07-18T17:26:52Z","abstract_excerpt":"Recently, the occurrence of exponential Fermi acceleration has been reported in a rectangular billiard with an oscillating bar inside [K. Shah, D. Turaev, and V. Rom-Kedar, Phys. Rev. E {\\bf 81}, 056205 (2010)]. In the present work, we analyze the underlying physical mechanism and show that the phenomenon can be understood as a sequence of highly correlated motions, consisting of alternating phases of free propagation and motion along the invariant spanning curves of the well-known one-dimensional Fermi-Ulam model. The key mechanism for the occurrence of exponential Fermi acceleration can be c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3509","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":"2026-05-18T03:08:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wSbz+FR/XhmacScqqRaDVupbe3BwTzPhmUxxpaNAcJFPqiCY91NvBOuQGrLtfmN43mRH+zHwqaoIZo9CdYb+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:04:47.852210Z"},"content_sha256":"7fd207243983ed579717eadf53a3938d9b679aa19bb05a556a9e44ce4d5828ba","schema_version":"1.0","event_id":"sha256:7fd207243983ed579717eadf53a3938d9b679aa19bb05a556a9e44ce4d5828ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZAU4QGKCB55MGOQSOWXGVJYVL/bundle.json","state_url":"https://pith.science/pith/AZAU4QGKCB55MGOQSOWXGVJYVL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZAU4QGKCB55MGOQSOWXGVJYVL/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":"2026-05-28T02:04:47Z","links":{"resolver":"https://pith.science/pith/AZAU4QGKCB55MGOQSOWXGVJYVL","bundle":"https://pith.science/pith/AZAU4QGKCB55MGOQSOWXGVJYVL/bundle.json","state":"https://pith.science/pith/AZAU4QGKCB55MGOQSOWXGVJYVL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZAU4QGKCB55MGOQSOWXGVJYVL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AZAU4QGKCB55MGOQSOWXGVJYVL","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":"eb1a1ccdfbe7b4628a29f7aeb068f1f9b0b27fb2fda639df017341c0c9b7eeec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-07-18T17:26:52Z","title_canon_sha256":"d9b10210f78bb0d0ad92cb3ad072b96a8d729ef8010e6e7db8ee431f83a0dd85"},"schema_version":"1.0","source":{"id":"1107.3509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3509","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3509v1","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3509","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"pith_short_12","alias_value":"AZAU4QGKCB55","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AZAU4QGKCB55MGOQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AZAU4QGK","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:7fd207243983ed579717eadf53a3938d9b679aa19bb05a556a9e44ce4d5828ba","target":"graph","created_at":"2026-05-18T03:08:04Z","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":"Recently, the occurrence of exponential Fermi acceleration has been reported in a rectangular billiard with an oscillating bar inside [K. Shah, D. Turaev, and V. Rom-Kedar, Phys. Rev. E {\\bf 81}, 056205 (2010)]. In the present work, we analyze the underlying physical mechanism and show that the phenomenon can be understood as a sequence of highly correlated motions, consisting of alternating phases of free propagation and motion along the invariant spanning curves of the well-known one-dimensional Fermi-Ulam model. The key mechanism for the occurrence of exponential Fermi acceleration can be c","authors_text":"Benno Liebchen, Christoph Petri, Florian Lenz, Fotis K. Diakonos, Peter Schmelcher, Robert B\\\"uchner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-07-18T17:26:52Z","title":"Phase Space Interpretation of Exponential Fermi Acceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3509","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":"sha256:4ade6f347da99317ef109af9bc034f88c0aa629a0e068faa10f04ba412635f7f","target":"record","created_at":"2026-05-18T03:08:04Z","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":"eb1a1ccdfbe7b4628a29f7aeb068f1f9b0b27fb2fda639df017341c0c9b7eeec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-07-18T17:26:52Z","title_canon_sha256":"d9b10210f78bb0d0ad92cb3ad072b96a8d729ef8010e6e7db8ee431f83a0dd85"},"schema_version":"1.0","source":{"id":"1107.3509","kind":"arxiv","version":1}},"canonical_sha256":"06414e40ca107bd619d093ad735538aad3ca3e14cadb1242f3a37ee24ac18b8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06414e40ca107bd619d093ad735538aad3ca3e14cadb1242f3a37ee24ac18b8d","first_computed_at":"2026-05-18T03:08:04.550386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:04.550386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UcZPGQOFRKn2zG7gr1qrxyt5ZE0vJZuCXD8a4AdElvM/H+WGoyQ4vlrko+FXgXqBKKHDyTqymyKIhsH7QazYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:04.551288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.3509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ade6f347da99317ef109af9bc034f88c0aa629a0e068faa10f04ba412635f7f","sha256:7fd207243983ed579717eadf53a3938d9b679aa19bb05a556a9e44ce4d5828ba"],"state_sha256":"7978f158553002a13d1e61df4eb4b8aa371540b21220200631484f7b6deaeeab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cb7X7ZPS3uIEJPHC3CQMgNyITiz26cZtaAU1UVU0SXmy3rDvWES6d2vguFchyMtnMbdfnIDJDlqNZahn3r3aCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:04:47.854858Z","bundle_sha256":"6225405f8c0dfb61c48bb32173f1964cf8ef801f955b9665866701bc9e660989"}}