{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:N47LXH7VBJXOJSZGJTYIZRP22M","short_pith_number":"pith:N47LXH7V","canonical_record":{"source":{"id":"2402.01232","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-02T08:55:25Z","cross_cats_sorted":["cs.NA","cs.SY","eess.SY"],"title_canon_sha256":"3d6a9b860b60115e874e82a52d92395493dc527959e7c4add0addaafd8c76c27","abstract_canon_sha256":"c524019804a55bdffd576548ec609d4fe869b686cd89380abc9186594e586323"},"schema_version":"1.0"},"canonical_sha256":"6f3ebb9ff50a6ee4cb264cf08cc5fad334c22e6ea882d4ca97942fc213b7e1d6","source":{"kind":"arxiv","id":"2402.01232","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.01232","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"arxiv_version","alias_value":"2402.01232v1","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01232","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"pith_short_12","alias_value":"N47LXH7VBJXO","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"pith_short_16","alias_value":"N47LXH7VBJXOJSZG","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"pith_short_8","alias_value":"N47LXH7V","created_at":"2026-07-05T07:40:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:N47LXH7VBJXOJSZGJTYIZRP22M","target":"record","payload":{"canonical_record":{"source":{"id":"2402.01232","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-02T08:55:25Z","cross_cats_sorted":["cs.NA","cs.SY","eess.SY"],"title_canon_sha256":"3d6a9b860b60115e874e82a52d92395493dc527959e7c4add0addaafd8c76c27","abstract_canon_sha256":"c524019804a55bdffd576548ec609d4fe869b686cd89380abc9186594e586323"},"schema_version":"1.0"},"canonical_sha256":"6f3ebb9ff50a6ee4cb264cf08cc5fad334c22e6ea882d4ca97942fc213b7e1d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:40:32.602911Z","signature_b64":"uQpzPY5CMT/EhDw+KDIr74/1RqoZ6mlMqLLWqwlMXQrkiA9ta/IbtdkS0DsK3v/ccj7Vbz3NzCCLjevd0bUOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f3ebb9ff50a6ee4cb264cf08cc5fad334c22e6ea882d4ca97942fc213b7e1d6","last_reissued_at":"2026-07-05T07:40:32.602560Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:40:32.602560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.01232","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":"2026-07-05T07:40:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GJY8ZbjUyWOuPgzUf3lEJi5aFWC9TvhRd018+rXb/4wxze6Saa6UyUcCM1kadFqIBTEiz1q9wS3p2pjHLaglAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:41:54.664456Z"},"content_sha256":"2b93d82272755cca79675693e65f601cb208f3e102098df1137d37f26f8089e5","schema_version":"1.0","event_id":"sha256:2b93d82272755cca79675693e65f601cb208f3e102098df1137d37f26f8089e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:N47LXH7VBJXOJSZGJTYIZRP22M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering-Passive Structure-Preserving Finite Element Method for the Boundary Controlled Transport Equation with a Moving Mesh","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cs.NA","cs.SY","eess.SY"],"primary_cat":"math.NA","authors_text":"Charles Poussot-Vassal, Denis Matignon, Jesus-Pablo Toledo-Zucco","submitted_at":"2024-02-02T08:55:25Z","abstract_excerpt":"A structure-preserving Finite Element Method (FEM) for the transport equation in one- and two-dimensional domains is presented. This Distributed Parameter System (DPS) has non-collocated boundary control and observation, and reveals a scattering-energy preserving structure. We show that the discretized model preserves the aforementioned structure from the original infinite-dimensional system. Moreover, we analyse the case of moving meshes for the one-dimensional case. The moving mesh requires less states than the fixed one to produce solutions with a comparable accuracy, and it can also reduce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01232","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/2402.01232/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":"2026-07-05T07:40:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tVVUyu0BNXh82RVXizi0JILH3+AS44RPxscpgvRBiQ3jEKut8gAaDduOyh+oIKxmto0lONOzoVihp+I10dhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:41:54.664960Z"},"content_sha256":"644e8c28ed7b46864512beb1c898dce0d58d114ccac4a53dddf96ffe4861b3b5","schema_version":"1.0","event_id":"sha256:644e8c28ed7b46864512beb1c898dce0d58d114ccac4a53dddf96ffe4861b3b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N47LXH7VBJXOJSZGJTYIZRP22M/bundle.json","state_url":"https://pith.science/pith/N47LXH7VBJXOJSZGJTYIZRP22M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N47LXH7VBJXOJSZGJTYIZRP22M/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":"2026-08-08T16:41:54Z","links":{"resolver":"https://pith.science/pith/N47LXH7VBJXOJSZGJTYIZRP22M","bundle":"https://pith.science/pith/N47LXH7VBJXOJSZGJTYIZRP22M/bundle.json","state":"https://pith.science/pith/N47LXH7VBJXOJSZGJTYIZRP22M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N47LXH7VBJXOJSZGJTYIZRP22M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:N47LXH7VBJXOJSZGJTYIZRP22M","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":"c524019804a55bdffd576548ec609d4fe869b686cd89380abc9186594e586323","cross_cats_sorted":["cs.NA","cs.SY","eess.SY"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-02T08:55:25Z","title_canon_sha256":"3d6a9b860b60115e874e82a52d92395493dc527959e7c4add0addaafd8c76c27"},"schema_version":"1.0","source":{"id":"2402.01232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.01232","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"arxiv_version","alias_value":"2402.01232v1","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01232","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"pith_short_12","alias_value":"N47LXH7VBJXO","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"pith_short_16","alias_value":"N47LXH7VBJXOJSZG","created_at":"2026-07-05T07:40:32Z"},{"alias_kind":"pith_short_8","alias_value":"N47LXH7V","created_at":"2026-07-05T07:40:32Z"}],"graph_snapshots":[{"event_id":"sha256:644e8c28ed7b46864512beb1c898dce0d58d114ccac4a53dddf96ffe4861b3b5","target":"graph","created_at":"2026-07-05T07:40:32Z","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/2402.01232/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A structure-preserving Finite Element Method (FEM) for the transport equation in one- and two-dimensional domains is presented. This Distributed Parameter System (DPS) has non-collocated boundary control and observation, and reveals a scattering-energy preserving structure. We show that the discretized model preserves the aforementioned structure from the original infinite-dimensional system. Moreover, we analyse the case of moving meshes for the one-dimensional case. The moving mesh requires less states than the fixed one to produce solutions with a comparable accuracy, and it can also reduce","authors_text":"Charles Poussot-Vassal, Denis Matignon, Jesus-Pablo Toledo-Zucco","cross_cats":["cs.NA","cs.SY","eess.SY"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-02T08:55:25Z","title":"Scattering-Passive Structure-Preserving Finite Element Method for the Boundary Controlled Transport Equation with a Moving Mesh"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01232","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":"sha256:2b93d82272755cca79675693e65f601cb208f3e102098df1137d37f26f8089e5","target":"record","created_at":"2026-07-05T07:40:32Z","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":"c524019804a55bdffd576548ec609d4fe869b686cd89380abc9186594e586323","cross_cats_sorted":["cs.NA","cs.SY","eess.SY"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-02T08:55:25Z","title_canon_sha256":"3d6a9b860b60115e874e82a52d92395493dc527959e7c4add0addaafd8c76c27"},"schema_version":"1.0","source":{"id":"2402.01232","kind":"arxiv","version":1}},"canonical_sha256":"6f3ebb9ff50a6ee4cb264cf08cc5fad334c22e6ea882d4ca97942fc213b7e1d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f3ebb9ff50a6ee4cb264cf08cc5fad334c22e6ea882d4ca97942fc213b7e1d6","first_computed_at":"2026-07-05T07:40:32.602560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:40:32.602560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uQpzPY5CMT/EhDw+KDIr74/1RqoZ6mlMqLLWqwlMXQrkiA9ta/IbtdkS0DsK3v/ccj7Vbz3NzCCLjevd0bUOAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:40:32.602911Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.01232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b93d82272755cca79675693e65f601cb208f3e102098df1137d37f26f8089e5","sha256:644e8c28ed7b46864512beb1c898dce0d58d114ccac4a53dddf96ffe4861b3b5"],"state_sha256":"201f636cc580c81604495c9fefa08badcf0cefe919a9dbda0cf9f17fb0ee499d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T4yii8y0KLHO67FT1AtED+jGwVvDEJNnRiQl6nSwYo5mKGuCBy5dt7Jf3ar/egDzO+g5wxR8Jgi2lqVqDG7cCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T16:41:54.669778Z","bundle_sha256":"d3f924a76ee6a67e1b2a9cf094c3830d7b7e74a16dc6ad962b3111a195666404"}}