{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2ACJAJNURAIYPHBV66J6JOVTNR","short_pith_number":"pith:2ACJAJNU","canonical_record":{"source":{"id":"1507.02735","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-09T22:46:52Z","cross_cats_sorted":["math.DS","math.PR"],"title_canon_sha256":"6fe2d255f5e1e47c378a7ce704e263585b163456e2dbb482cca9258aa607618f","abstract_canon_sha256":"1023b3f47aeb86c745b44426719f0632c948b06450c2ca9c6dcebd38564c28a6"},"schema_version":"1.0"},"canonical_sha256":"d0049025b48811879c35f793e4bab36c532b7a7fa8e61dc165c5994aee744a64","source":{"kind":"arxiv","id":"1507.02735","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02735","created_at":"2026-05-18T01:37:03Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02735v1","created_at":"2026-05-18T01:37:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02735","created_at":"2026-05-18T01:37:03Z"},{"alias_kind":"pith_short_12","alias_value":"2ACJAJNURAIY","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2ACJAJNURAIYPHBV","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2ACJAJNU","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2ACJAJNURAIYPHBV66J6JOVTNR","target":"record","payload":{"canonical_record":{"source":{"id":"1507.02735","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-09T22:46:52Z","cross_cats_sorted":["math.DS","math.PR"],"title_canon_sha256":"6fe2d255f5e1e47c378a7ce704e263585b163456e2dbb482cca9258aa607618f","abstract_canon_sha256":"1023b3f47aeb86c745b44426719f0632c948b06450c2ca9c6dcebd38564c28a6"},"schema_version":"1.0"},"canonical_sha256":"d0049025b48811879c35f793e4bab36c532b7a7fa8e61dc165c5994aee744a64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:03.324287Z","signature_b64":"F3fJ20293hb/R/YvhH8omKX5DxNKJiCOp51KjOkEn5/Iwb6rUAEf/EhfNuiag91Dfdjanv+TsRipEmZSzsdOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0049025b48811879c35f793e4bab36c532b7a7fa8e61dc165c5994aee744a64","last_reissued_at":"2026-05-18T01:37:03.323918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:03.323918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.02735","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":"2026-05-18T01:37:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QU2rbNC83ra0xZnkhSnvwcKO4/0MCcqPtTkgYzFJdM6Q8aEdqQ1KMjztxIU28C2ESjhQsJ05KV0qCusRbwGMDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T07:59:06.936758Z"},"content_sha256":"f4cab467cb0e4283539e2ade4d4db9c0a19b787b0725aeca4c7810d67f0cdbf9","schema_version":"1.0","event_id":"sha256:f4cab467cb0e4283539e2ade4d4db9c0a19b787b0725aeca4c7810d67f0cdbf9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2ACJAJNURAIYPHBV66J6JOVTNR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Transport in the Stochastic Standard Map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.PR"],"primary_cat":"nlin.CD","authors_text":"Adam M. Fox, Per Sebastian Skardal","submitted_at":"2015-07-09T22:46:52Z","abstract_excerpt":"We study a stochastically-driven standard map. The addition of a noise term destroys the invariant manifolds that organize the phase space which allows for more widespread transport than in the noiseless case. Using appropriately defined hitting times to quantify the dynamics, we identify two qualitatively different classes of transport: linear and nonlinear. Linear transport is primarily driven by the stochasticity in the system, while nonlinear transport results from a combination of the nonlinear dynamics and stochasticity and provides a significant speed-up in transport."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02735","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":"2026-05-18T01:37:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SIIUrkkeH+7X6j1mTjMzVuXWB4ajOFyp8BO5e6gmguRQ/jvQUx7tX8cPVoBbQXWNXjqIKMA55d0lFfgOjQ5zAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T07:59:06.937486Z"},"content_sha256":"cb0a493764ec78492c70958c09128bdbaeecc65901326eb719cf9b988de2c8a9","schema_version":"1.0","event_id":"sha256:cb0a493764ec78492c70958c09128bdbaeecc65901326eb719cf9b988de2c8a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2ACJAJNURAIYPHBV66J6JOVTNR/bundle.json","state_url":"https://pith.science/pith/2ACJAJNURAIYPHBV66J6JOVTNR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2ACJAJNURAIYPHBV66J6JOVTNR/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":"2026-06-08T07:59:06Z","links":{"resolver":"https://pith.science/pith/2ACJAJNURAIYPHBV66J6JOVTNR","bundle":"https://pith.science/pith/2ACJAJNURAIYPHBV66J6JOVTNR/bundle.json","state":"https://pith.science/pith/2ACJAJNURAIYPHBV66J6JOVTNR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2ACJAJNURAIYPHBV66J6JOVTNR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2ACJAJNURAIYPHBV66J6JOVTNR","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":"1023b3f47aeb86c745b44426719f0632c948b06450c2ca9c6dcebd38564c28a6","cross_cats_sorted":["math.DS","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-09T22:46:52Z","title_canon_sha256":"6fe2d255f5e1e47c378a7ce704e263585b163456e2dbb482cca9258aa607618f"},"schema_version":"1.0","source":{"id":"1507.02735","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02735","created_at":"2026-05-18T01:37:03Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02735v1","created_at":"2026-05-18T01:37:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02735","created_at":"2026-05-18T01:37:03Z"},{"alias_kind":"pith_short_12","alias_value":"2ACJAJNURAIY","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2ACJAJNURAIYPHBV","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2ACJAJNU","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:cb0a493764ec78492c70958c09128bdbaeecc65901326eb719cf9b988de2c8a9","target":"graph","created_at":"2026-05-18T01:37:03Z","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 a stochastically-driven standard map. The addition of a noise term destroys the invariant manifolds that organize the phase space which allows for more widespread transport than in the noiseless case. Using appropriately defined hitting times to quantify the dynamics, we identify two qualitatively different classes of transport: linear and nonlinear. Linear transport is primarily driven by the stochasticity in the system, while nonlinear transport results from a combination of the nonlinear dynamics and stochasticity and provides a significant speed-up in transport.","authors_text":"Adam M. Fox, Per Sebastian Skardal","cross_cats":["math.DS","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-09T22:46:52Z","title":"Nonlinear Transport in the Stochastic Standard Map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02735","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:f4cab467cb0e4283539e2ade4d4db9c0a19b787b0725aeca4c7810d67f0cdbf9","target":"record","created_at":"2026-05-18T01:37:03Z","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":"1023b3f47aeb86c745b44426719f0632c948b06450c2ca9c6dcebd38564c28a6","cross_cats_sorted":["math.DS","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-09T22:46:52Z","title_canon_sha256":"6fe2d255f5e1e47c378a7ce704e263585b163456e2dbb482cca9258aa607618f"},"schema_version":"1.0","source":{"id":"1507.02735","kind":"arxiv","version":1}},"canonical_sha256":"d0049025b48811879c35f793e4bab36c532b7a7fa8e61dc165c5994aee744a64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0049025b48811879c35f793e4bab36c532b7a7fa8e61dc165c5994aee744a64","first_computed_at":"2026-05-18T01:37:03.323918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:03.323918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F3fJ20293hb/R/YvhH8omKX5DxNKJiCOp51KjOkEn5/Iwb6rUAEf/EhfNuiag91Dfdjanv+TsRipEmZSzsdOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:03.324287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.02735","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4cab467cb0e4283539e2ade4d4db9c0a19b787b0725aeca4c7810d67f0cdbf9","sha256:cb0a493764ec78492c70958c09128bdbaeecc65901326eb719cf9b988de2c8a9"],"state_sha256":"5817e7f7b758a3b655e1067f60dc5afe470889076eb40dbe52f31883a7fc236f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"29LzOzbzy8X38T4rCjeSx0fToFF2Pm8o3VYprCkuEd1FmPRQv65yMJsYfjXZmH685b9T/dOBul2Z7WdXMWIQBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T07:59:06.942061Z","bundle_sha256":"e1ea664a471ba78620225db92c80a8989be77e52e394e9e13f59388e6ab5be49"}}