{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:YCLPIA6MTQUWCEJ436T33K6KSQ","short_pith_number":"pith:YCLPIA6M","canonical_record":{"source":{"id":"0905.2074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-13T11:45:37Z","cross_cats_sorted":[],"title_canon_sha256":"bc0c029d4b85c4dcd05c832dd38c62a79e5016e0ae7f3ecb29badd77a8a228eb","abstract_canon_sha256":"64cc6c88010a4390b0c2b3cdf4e1e71b0f83606e5cc3851c4b9c864d091a6038"},"schema_version":"1.0"},"canonical_sha256":"c096f403cc9c2961113cdfa7bdabca9405122d48c88daaf2d4854ba5120176e5","source":{"kind":"arxiv","id":"0905.2074","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2074","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2074v1","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2074","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"YCLPIA6MTQUW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YCLPIA6MTQUWCEJ4","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YCLPIA6M","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:YCLPIA6MTQUWCEJ436T33K6KSQ","target":"record","payload":{"canonical_record":{"source":{"id":"0905.2074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-13T11:45:37Z","cross_cats_sorted":[],"title_canon_sha256":"bc0c029d4b85c4dcd05c832dd38c62a79e5016e0ae7f3ecb29badd77a8a228eb","abstract_canon_sha256":"64cc6c88010a4390b0c2b3cdf4e1e71b0f83606e5cc3851c4b9c864d091a6038"},"schema_version":"1.0"},"canonical_sha256":"c096f403cc9c2961113cdfa7bdabca9405122d48c88daaf2d4854ba5120176e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:39.675371Z","signature_b64":"oCelSYlsCUjyDH1b7C7CDOqVBR4gOLMcgU+LkEKbhIrHHfL3+S/oAFj679fJB60b6LTd+x0DFIe0RF7UrNDoCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c096f403cc9c2961113cdfa7bdabca9405122d48c88daaf2d4854ba5120176e5","last_reissued_at":"2026-05-18T02:13:39.674933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:39.674933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.2074","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":"2026-05-18T02:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmb2H9C9IfEiVztjY4mz728TNP66MoMCkF6OlWGBvAPo3X8WU+uJWiG8XfgKG80bYqrtNe6dJuufaPbRzfq1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T21:53:28.748425Z"},"content_sha256":"b5a67c8c9d738ef17d004e131b0a37403c5f501cb1387c16c5d6a456a2c04d36","schema_version":"1.0","event_id":"sha256:b5a67c8c9d738ef17d004e131b0a37403c5f501cb1387c16c5d6a456a2c04d36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:YCLPIA6MTQUWCEJ436T33K6KSQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-dependent barrier passage of Two-dimensional non-Ohmic damping system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Chun-Yang Wang","submitted_at":"2009-05-13T11:45:37Z","abstract_excerpt":"The time-dependent barrier passage of an anomalous damping system is studied via the generalized Langevin equation (GLE) with non-Ohmic memory damping friction tensor and corresponding thermal colored noise tensor describing a particle passing over the saddle point of a two-dimensional quadratic potential energy surface. The time-dependent passing probability and transmission coefficient are analytically obtained by using of the reactive flux method. The long memory aspect of friction is revealed to originate a non-monotonic $\\delta$(power exponent of the friction) dependence of the passing pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2074","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":"2026-05-18T02:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W5kDJtjb7rn1nV8WnEd7o7OBe2aID8A7MGTx84OGh/Qu+t218n6th6M69iKFT4j5IoJi1Ds78KJBbBFczdkxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T21:53:28.748758Z"},"content_sha256":"6a5eaffe3f55bfb696c5afad0056f52f06279b2500558ea9fe74c2d18f7ff330","schema_version":"1.0","event_id":"sha256:6a5eaffe3f55bfb696c5afad0056f52f06279b2500558ea9fe74c2d18f7ff330"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YCLPIA6MTQUWCEJ436T33K6KSQ/bundle.json","state_url":"https://pith.science/pith/YCLPIA6MTQUWCEJ436T33K6KSQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YCLPIA6MTQUWCEJ436T33K6KSQ/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":"2026-07-03T21:53:28Z","links":{"resolver":"https://pith.science/pith/YCLPIA6MTQUWCEJ436T33K6KSQ","bundle":"https://pith.science/pith/YCLPIA6MTQUWCEJ436T33K6KSQ/bundle.json","state":"https://pith.science/pith/YCLPIA6MTQUWCEJ436T33K6KSQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YCLPIA6MTQUWCEJ436T33K6KSQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YCLPIA6MTQUWCEJ436T33K6KSQ","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":"64cc6c88010a4390b0c2b3cdf4e1e71b0f83606e5cc3851c4b9c864d091a6038","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-13T11:45:37Z","title_canon_sha256":"bc0c029d4b85c4dcd05c832dd38c62a79e5016e0ae7f3ecb29badd77a8a228eb"},"schema_version":"1.0","source":{"id":"0905.2074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2074","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2074v1","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2074","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"YCLPIA6MTQUW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YCLPIA6MTQUWCEJ4","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YCLPIA6M","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:6a5eaffe3f55bfb696c5afad0056f52f06279b2500558ea9fe74c2d18f7ff330","target":"graph","created_at":"2026-05-18T02:13:39Z","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":"The time-dependent barrier passage of an anomalous damping system is studied via the generalized Langevin equation (GLE) with non-Ohmic memory damping friction tensor and corresponding thermal colored noise tensor describing a particle passing over the saddle point of a two-dimensional quadratic potential energy surface. The time-dependent passing probability and transmission coefficient are analytically obtained by using of the reactive flux method. The long memory aspect of friction is revealed to originate a non-monotonic $\\delta$(power exponent of the friction) dependence of the passing pr","authors_text":"Chun-Yang Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-13T11:45:37Z","title":"Time-dependent barrier passage of Two-dimensional non-Ohmic damping system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2074","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:b5a67c8c9d738ef17d004e131b0a37403c5f501cb1387c16c5d6a456a2c04d36","target":"record","created_at":"2026-05-18T02:13:39Z","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":"64cc6c88010a4390b0c2b3cdf4e1e71b0f83606e5cc3851c4b9c864d091a6038","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-13T11:45:37Z","title_canon_sha256":"bc0c029d4b85c4dcd05c832dd38c62a79e5016e0ae7f3ecb29badd77a8a228eb"},"schema_version":"1.0","source":{"id":"0905.2074","kind":"arxiv","version":1}},"canonical_sha256":"c096f403cc9c2961113cdfa7bdabca9405122d48c88daaf2d4854ba5120176e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c096f403cc9c2961113cdfa7bdabca9405122d48c88daaf2d4854ba5120176e5","first_computed_at":"2026-05-18T02:13:39.674933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:39.674933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oCelSYlsCUjyDH1b7C7CDOqVBR4gOLMcgU+LkEKbhIrHHfL3+S/oAFj679fJB60b6LTd+x0DFIe0RF7UrNDoCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:39.675371Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.2074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5a67c8c9d738ef17d004e131b0a37403c5f501cb1387c16c5d6a456a2c04d36","sha256:6a5eaffe3f55bfb696c5afad0056f52f06279b2500558ea9fe74c2d18f7ff330"],"state_sha256":"e10322717d535bb737737e4661045d8c66bec1aa53f6f47f9ab82cce0ab482d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L3cDvv5GtWlDRyDp7vB3aDjfZedoMsLGv7sC6vmVg7r2bhVxuoUkyREnVmaGHAqh/eO+q+hOzVnwh94dLtdWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T21:53:28.750625Z","bundle_sha256":"441b737e41545b7d79f91f3802afb7e25bede4c61abaef9510242f1ab9aac8ab"}}