{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VWSSQRSKVDILDC743CJBJJXOKR","short_pith_number":"pith:VWSSQRSK","canonical_record":{"source":{"id":"2403.10360","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-03-15T14:52:11Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"39d0221f42cfd630cbf74cceda8a4fb7e6121b53fad717407bcbf9948b32a3f5","abstract_canon_sha256":"4d40cad51b997f5af97cca868cd385ed51ad1238cf2e3b9af758fadad054a1a2"},"schema_version":"1.0"},"canonical_sha256":"ada528464aa8d0b18bfcd89214a6ee547f8bcf0a8c2e7096556abed5e24221de","source":{"kind":"arxiv","id":"2403.10360","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.10360","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"arxiv_version","alias_value":"2403.10360v1","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.10360","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"pith_short_12","alias_value":"VWSSQRSKVDIL","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"pith_short_16","alias_value":"VWSSQRSKVDILDC74","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"pith_short_8","alias_value":"VWSSQRSK","created_at":"2026-07-05T07:56:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VWSSQRSKVDILDC743CJBJJXOKR","target":"record","payload":{"canonical_record":{"source":{"id":"2403.10360","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-03-15T14:52:11Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"39d0221f42cfd630cbf74cceda8a4fb7e6121b53fad717407bcbf9948b32a3f5","abstract_canon_sha256":"4d40cad51b997f5af97cca868cd385ed51ad1238cf2e3b9af758fadad054a1a2"},"schema_version":"1.0"},"canonical_sha256":"ada528464aa8d0b18bfcd89214a6ee547f8bcf0a8c2e7096556abed5e24221de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:56:33.885883Z","signature_b64":"TDH/GoQ2awlmue2sq33sOBL9LvYd758D6MaIvDQ6P07j9LfPi0G+E+ttlnBNYe2c3OG+LsInPA/OwPl0vcnCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ada528464aa8d0b18bfcd89214a6ee547f8bcf0a8c2e7096556abed5e24221de","last_reissued_at":"2026-07-05T07:56:33.885515Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:56:33.885515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.10360","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":"2026-07-05T07:56:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F8IXUOKJ6LMJR8c6AipmSdrwGTmBxTa9jZBX7xolhQN0mE0Cjw7l7QjIaevaJxACdrfsNYrMUmx/6lbb1chNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:52:00.994204Z"},"content_sha256":"262006e805556ce7731fedaa3b544acbeb8c0f240b91ae80be1222631c6f3582","schema_version":"1.0","event_id":"sha256:262006e805556ce7731fedaa3b544acbeb8c0f240b91ae80be1222631c6f3582"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VWSSQRSKVDILDC743CJBJJXOKR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"physics.flu-dyn","authors_text":"Gary Froyland, Jason Atnip, P\\'eter Koltai","submitted_at":"2024-03-15T14:52:11Z","abstract_excerpt":"Lagrangian methods continue to stand at the forefront of the analysis of time-dependent dynamical systems. Most Lagrangian methods have criteria that must be fulfilled by trajectories as they are followed throughout a given finite flow duration. This key strength of Lagrangian methods can also be a limitation in more complex evolving environments. It places a high importance on selecting a time window that produces useful results, and these results may vary significantly with changes in the flow duration. We show how to overcome this drawback in the tracking of coherent flow features. Finite-t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.10360","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.10360/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:56:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+fV7k+zNhxvQiq3PqlKyucUXrq7dMUCnk2tx7Y51Hx0MzBvuVng+3FZk6bO19DYhyq0tgjjJqKZd8IOOfEcIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:52:00.994729Z"},"content_sha256":"62e759f9bde0b67c1702790823dd2e3a94023fba8bdcf6cd2f2e3dfd661a7328","schema_version":"1.0","event_id":"sha256:62e759f9bde0b67c1702790823dd2e3a94023fba8bdcf6cd2f2e3dfd661a7328"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWSSQRSKVDILDC743CJBJJXOKR/bundle.json","state_url":"https://pith.science/pith/VWSSQRSKVDILDC743CJBJJXOKR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWSSQRSKVDILDC743CJBJJXOKR/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":"2026-08-13T18:52:01Z","links":{"resolver":"https://pith.science/pith/VWSSQRSKVDILDC743CJBJJXOKR","bundle":"https://pith.science/pith/VWSSQRSKVDILDC743CJBJJXOKR/bundle.json","state":"https://pith.science/pith/VWSSQRSKVDILDC743CJBJJXOKR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWSSQRSKVDILDC743CJBJJXOKR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VWSSQRSKVDILDC743CJBJJXOKR","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":"4d40cad51b997f5af97cca868cd385ed51ad1238cf2e3b9af758fadad054a1a2","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-03-15T14:52:11Z","title_canon_sha256":"39d0221f42cfd630cbf74cceda8a4fb7e6121b53fad717407bcbf9948b32a3f5"},"schema_version":"1.0","source":{"id":"2403.10360","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.10360","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"arxiv_version","alias_value":"2403.10360v1","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.10360","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"pith_short_12","alias_value":"VWSSQRSKVDIL","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"pith_short_16","alias_value":"VWSSQRSKVDILDC74","created_at":"2026-07-05T07:56:33Z"},{"alias_kind":"pith_short_8","alias_value":"VWSSQRSK","created_at":"2026-07-05T07:56:33Z"}],"graph_snapshots":[{"event_id":"sha256:62e759f9bde0b67c1702790823dd2e3a94023fba8bdcf6cd2f2e3dfd661a7328","target":"graph","created_at":"2026-07-05T07:56:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.10360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lagrangian methods continue to stand at the forefront of the analysis of time-dependent dynamical systems. Most Lagrangian methods have criteria that must be fulfilled by trajectories as they are followed throughout a given finite flow duration. This key strength of Lagrangian methods can also be a limitation in more complex evolving environments. It places a high importance on selecting a time window that produces useful results, and these results may vary significantly with changes in the flow duration. We show how to overcome this drawback in the tracking of coherent flow features. Finite-t","authors_text":"Gary Froyland, Jason Atnip, P\\'eter Koltai","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-03-15T14:52:11Z","title":"An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.10360","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":"sha256:262006e805556ce7731fedaa3b544acbeb8c0f240b91ae80be1222631c6f3582","target":"record","created_at":"2026-07-05T07:56:33Z","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":"4d40cad51b997f5af97cca868cd385ed51ad1238cf2e3b9af758fadad054a1a2","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-03-15T14:52:11Z","title_canon_sha256":"39d0221f42cfd630cbf74cceda8a4fb7e6121b53fad717407bcbf9948b32a3f5"},"schema_version":"1.0","source":{"id":"2403.10360","kind":"arxiv","version":1}},"canonical_sha256":"ada528464aa8d0b18bfcd89214a6ee547f8bcf0a8c2e7096556abed5e24221de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ada528464aa8d0b18bfcd89214a6ee547f8bcf0a8c2e7096556abed5e24221de","first_computed_at":"2026-07-05T07:56:33.885515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:56:33.885515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TDH/GoQ2awlmue2sq33sOBL9LvYd758D6MaIvDQ6P07j9LfPi0G+E+ttlnBNYe2c3OG+LsInPA/OwPl0vcnCBw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:56:33.885883Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.10360","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:262006e805556ce7731fedaa3b544acbeb8c0f240b91ae80be1222631c6f3582","sha256:62e759f9bde0b67c1702790823dd2e3a94023fba8bdcf6cd2f2e3dfd661a7328"],"state_sha256":"7480da0c078c14767ef716156cd9520a58287e7690305fb94a00069efefe3c42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0+1lGqOJyiMrPNoDsQhvZsFupvnIQFReS7LZ8evq0KxwVWSAkKF4PyxO/zazM4KgJL8516c8b7DJoZtjPFpAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T18:52:01.004923Z","bundle_sha256":"bae3b30eec7adf0e29808b75ba3ab39893af54c45acfe19caeacb7a0415856b1"}}