{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KYMX772HH5HO6NBVCGOP3VC5ZG","short_pith_number":"pith:KYMX772H","canonical_record":{"source":{"id":"1008.1344","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-07T13:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"016d137fc83b8d5d7d95fef56a2651d6913ddf57207d4a68446bdbabd4bc52f4","abstract_canon_sha256":"e884e034198f447ee707d135a5321819b15b2a3facf1f98e03106686ad18ab37"},"schema_version":"1.0"},"canonical_sha256":"56197fff473f4eef3435119cfdd45dc9be0036084e1cf7d3cc3d8214df1fc98a","source":{"kind":"arxiv","id":"1008.1344","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1344","created_at":"2026-05-18T02:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1344v2","created_at":"2026-05-18T02:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1344","created_at":"2026-05-18T02:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"KYMX772HH5HO","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KYMX772HH5HO6NBV","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KYMX772H","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KYMX772HH5HO6NBVCGOP3VC5ZG","target":"record","payload":{"canonical_record":{"source":{"id":"1008.1344","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-07T13:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"016d137fc83b8d5d7d95fef56a2651d6913ddf57207d4a68446bdbabd4bc52f4","abstract_canon_sha256":"e884e034198f447ee707d135a5321819b15b2a3facf1f98e03106686ad18ab37"},"schema_version":"1.0"},"canonical_sha256":"56197fff473f4eef3435119cfdd45dc9be0036084e1cf7d3cc3d8214df1fc98a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:58.096413Z","signature_b64":"W7igw6tKhmB4/kn1rZDipLR0oCMZeopg+fVow0+yh0DifZD4EtlGEj5s7dXqtvodoMMndfk7ONQ5Gi1HPPYQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56197fff473f4eef3435119cfdd45dc9be0036084e1cf7d3cc3d8214df1fc98a","last_reissued_at":"2026-05-18T02:05:58.095755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:58.095755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.1344","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":"2026-05-18T02:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D3ivJXYw5Jfo5IIcrvjtIpLgqEtNXF5QHSJETJYu0bg8Xr31TppWxSJf2Uyjyxby1BK/nojmXUeSvIhBx+rRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:23:04.445334Z"},"content_sha256":"bf499d2eb893d35120a3b0a6443ee6db09f5d1237e2eae2d3ef66a1a6a8f3115","schema_version":"1.0","event_id":"sha256:bf499d2eb893d35120a3b0a6443ee6db09f5d1237e2eae2d3ef66a1a6a8f3115"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KYMX772HH5HO6NBVCGOP3VC5ZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermi acceleration and suppression of Fermi acceleration in a time-dependent Lorentz Gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Diego F. M. Oliveira, Edson D. Leonel, J\\\"urgen Vollmer","submitted_at":"2010-08-07T13:48:55Z","abstract_excerpt":"We study some dynamical properties of a Lorentz gas. We have considered both the static and time dependent boundary. For the static case we have shown that the system has a chaotic component characterized with a positive Lyapunov Exponent. For the time-dependent perturbation we describe the model using a four-dimensional nonlinear map. The behaviour of the average velocity is considered in two situations (i) non-dissipative and (ii) dissipative. Our results show that the unlimited energy growth is observed for the non-dissipative case. However, when dissipation, via damping coefficients, is in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1344","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":"2026-05-18T02:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mR+Yc3r+K1VEa0rg7Z4QeT+T2p5CMg/Mq+wujKCV1slAgd/JVOqBUDNHQDS8DGoOaww8VjcRTToqSGPZs2INCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:23:04.445694Z"},"content_sha256":"96c9e0e86fb01b0e1078bbaa7e78aae3ee7c631349756f771ecf7e53d9f93bb9","schema_version":"1.0","event_id":"sha256:96c9e0e86fb01b0e1078bbaa7e78aae3ee7c631349756f771ecf7e53d9f93bb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KYMX772HH5HO6NBVCGOP3VC5ZG/bundle.json","state_url":"https://pith.science/pith/KYMX772HH5HO6NBVCGOP3VC5ZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KYMX772HH5HO6NBVCGOP3VC5ZG/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":"2026-05-28T04:23:04Z","links":{"resolver":"https://pith.science/pith/KYMX772HH5HO6NBVCGOP3VC5ZG","bundle":"https://pith.science/pith/KYMX772HH5HO6NBVCGOP3VC5ZG/bundle.json","state":"https://pith.science/pith/KYMX772HH5HO6NBVCGOP3VC5ZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KYMX772HH5HO6NBVCGOP3VC5ZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KYMX772HH5HO6NBVCGOP3VC5ZG","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":"e884e034198f447ee707d135a5321819b15b2a3facf1f98e03106686ad18ab37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-07T13:48:55Z","title_canon_sha256":"016d137fc83b8d5d7d95fef56a2651d6913ddf57207d4a68446bdbabd4bc52f4"},"schema_version":"1.0","source":{"id":"1008.1344","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1344","created_at":"2026-05-18T02:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1344v2","created_at":"2026-05-18T02:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1344","created_at":"2026-05-18T02:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"KYMX772HH5HO","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KYMX772HH5HO6NBV","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KYMX772H","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:96c9e0e86fb01b0e1078bbaa7e78aae3ee7c631349756f771ecf7e53d9f93bb9","target":"graph","created_at":"2026-05-18T02:05:58Z","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 study some dynamical properties of a Lorentz gas. We have considered both the static and time dependent boundary. For the static case we have shown that the system has a chaotic component characterized with a positive Lyapunov Exponent. For the time-dependent perturbation we describe the model using a four-dimensional nonlinear map. The behaviour of the average velocity is considered in two situations (i) non-dissipative and (ii) dissipative. Our results show that the unlimited energy growth is observed for the non-dissipative case. However, when dissipation, via damping coefficients, is in","authors_text":"Diego F. M. Oliveira, Edson D. Leonel, J\\\"urgen Vollmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-07T13:48:55Z","title":"Fermi acceleration and suppression of Fermi acceleration in a time-dependent Lorentz Gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1344","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:bf499d2eb893d35120a3b0a6443ee6db09f5d1237e2eae2d3ef66a1a6a8f3115","target":"record","created_at":"2026-05-18T02:05:58Z","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":"e884e034198f447ee707d135a5321819b15b2a3facf1f98e03106686ad18ab37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-07T13:48:55Z","title_canon_sha256":"016d137fc83b8d5d7d95fef56a2651d6913ddf57207d4a68446bdbabd4bc52f4"},"schema_version":"1.0","source":{"id":"1008.1344","kind":"arxiv","version":2}},"canonical_sha256":"56197fff473f4eef3435119cfdd45dc9be0036084e1cf7d3cc3d8214df1fc98a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56197fff473f4eef3435119cfdd45dc9be0036084e1cf7d3cc3d8214df1fc98a","first_computed_at":"2026-05-18T02:05:58.095755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:58.095755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W7igw6tKhmB4/kn1rZDipLR0oCMZeopg+fVow0+yh0DifZD4EtlGEj5s7dXqtvodoMMndfk7ONQ5Gi1HPPYQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:58.096413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.1344","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf499d2eb893d35120a3b0a6443ee6db09f5d1237e2eae2d3ef66a1a6a8f3115","sha256:96c9e0e86fb01b0e1078bbaa7e78aae3ee7c631349756f771ecf7e53d9f93bb9"],"state_sha256":"e6203ed4c0cbe55a12ea00f7cf762742f100c7082f0060ebe288fbad196de727"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q+ine70wNDEAm1m0CKRPgTzGdOsUcoj2jj/4iG9psrAMJAgJ9al7fmY19LKGAGpCjIoh99ciQBQlD0GlfNNoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:23:04.447665Z","bundle_sha256":"55bde050369e289d9a9d0d7a3287eb1bb029b9b43de06cc301508bb75efb6a7c"}}