{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:Q2TELFIILFDRNLMS7SRBO4NG7Z","short_pith_number":"pith:Q2TELFII","canonical_record":{"source":{"id":"2310.13780","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-10-20T19:25:19Z","cross_cats_sorted":["cs.NA","physics.bio-ph"],"title_canon_sha256":"c09f32c24f447c04f103b1306a452783007408fc226fee1add42b0ec494ab329","abstract_canon_sha256":"1417ef892c79a6c11d0fc0e14bd842eb851c241311685c359d1f920cb756c30a"},"schema_version":"1.0"},"canonical_sha256":"86a6459508594716ad92fca21771a6fe5966e803e5bccd4c14cc9abd30cb54a1","source":{"kind":"arxiv","id":"2310.13780","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.13780","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.13780v1","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.13780","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"Q2TELFIILFDR","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"pith_short_16","alias_value":"Q2TELFIILFDRNLMS","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"pith_short_8","alias_value":"Q2TELFII","created_at":"2026-07-05T07:03:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:Q2TELFIILFDRNLMS7SRBO4NG7Z","target":"record","payload":{"canonical_record":{"source":{"id":"2310.13780","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-10-20T19:25:19Z","cross_cats_sorted":["cs.NA","physics.bio-ph"],"title_canon_sha256":"c09f32c24f447c04f103b1306a452783007408fc226fee1add42b0ec494ab329","abstract_canon_sha256":"1417ef892c79a6c11d0fc0e14bd842eb851c241311685c359d1f920cb756c30a"},"schema_version":"1.0"},"canonical_sha256":"86a6459508594716ad92fca21771a6fe5966e803e5bccd4c14cc9abd30cb54a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:03:34.656375Z","signature_b64":"gEi1dCrWNXAogZwPyHHySaZXagt6Ec9Ifd+xb+9+XMHNPjF2jPEltNPMl0btXIne/bsIYGO2l7gLPa8jnEr9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86a6459508594716ad92fca21771a6fe5966e803e5bccd4c14cc9abd30cb54a1","last_reissued_at":"2026-07-05T07:03:34.655002Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:03:34.655002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.13780","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":"2026-07-05T07:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBunaIe2GoyDRvrVrCsSK8tHajuMK6kA6+eKFiYn8rPXP1LJ/WeJhYb7AFX2/h3uhVo4iXlbCwwh5WMPU6vlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:09:25.411622Z"},"content_sha256":"69e3b1a6352bbf1010c742b9ece90d1e05d83303c177666e90f8dceddf6e8bdd","schema_version":"1.0","event_id":"sha256:69e3b1a6352bbf1010c742b9ece90d1e05d83303c177666e90f8dceddf6e8bdd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:Q2TELFIILFDRNLMS7SRBO4NG7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Modular Framework for Implicit 3D-0D Coupling in Cardiac Mechanics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","physics.bio-ph"],"primary_cat":"math.NA","authors_text":"Aaron L. Brown, Alison L. Marsden, Kaitlin E. Harold, Lei Shi, Martin R. Pfaller, Matteo Salvador, Tzung Hsiai, Vijay Vedula, Zinan Hu","submitted_at":"2023-10-20T19:25:19Z","abstract_excerpt":"In numerical simulations of cardiac mechanics, coupling the heart to a model of the circulatory system is essential for capturing physiological cardiac behavior. A popular and efficient technique is to use an electrical circuit analogy, known as a lumped parameter network or zero-dimensional (0D) fluid model, to represent blood flow throughout the cardiovascular system. Due to the strong physical interaction between the heart and the blood circulation, developing accurate and efficient numerical coupling methods remains an active area of research. In this work, we present a modular framework f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.13780","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/2310.13780/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":"2026-07-05T07:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tqSuoEeZGMwqiU+cIOQqhBw9ca1ELDpkxe26a+BfNgKqEGbXFHAihnF57swHU6MqPRrZJQ7hhXVnbsUlOslkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:09:25.411995Z"},"content_sha256":"0549101194e9c019bcf6ca8e0d62075b80926a54652ef6b24d273f9b6e8f4484","schema_version":"1.0","event_id":"sha256:0549101194e9c019bcf6ca8e0d62075b80926a54652ef6b24d273f9b6e8f4484"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q2TELFIILFDRNLMS7SRBO4NG7Z/bundle.json","state_url":"https://pith.science/pith/Q2TELFIILFDRNLMS7SRBO4NG7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q2TELFIILFDRNLMS7SRBO4NG7Z/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":"2026-07-06T18:09:25Z","links":{"resolver":"https://pith.science/pith/Q2TELFIILFDRNLMS7SRBO4NG7Z","bundle":"https://pith.science/pith/Q2TELFIILFDRNLMS7SRBO4NG7Z/bundle.json","state":"https://pith.science/pith/Q2TELFIILFDRNLMS7SRBO4NG7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q2TELFIILFDRNLMS7SRBO4NG7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Q2TELFIILFDRNLMS7SRBO4NG7Z","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":"1417ef892c79a6c11d0fc0e14bd842eb851c241311685c359d1f920cb756c30a","cross_cats_sorted":["cs.NA","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-10-20T19:25:19Z","title_canon_sha256":"c09f32c24f447c04f103b1306a452783007408fc226fee1add42b0ec494ab329"},"schema_version":"1.0","source":{"id":"2310.13780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.13780","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.13780v1","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.13780","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"Q2TELFIILFDR","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"pith_short_16","alias_value":"Q2TELFIILFDRNLMS","created_at":"2026-07-05T07:03:34Z"},{"alias_kind":"pith_short_8","alias_value":"Q2TELFII","created_at":"2026-07-05T07:03:34Z"}],"graph_snapshots":[{"event_id":"sha256:0549101194e9c019bcf6ca8e0d62075b80926a54652ef6b24d273f9b6e8f4484","target":"graph","created_at":"2026-07-05T07:03:34Z","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/2310.13780/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In numerical simulations of cardiac mechanics, coupling the heart to a model of the circulatory system is essential for capturing physiological cardiac behavior. A popular and efficient technique is to use an electrical circuit analogy, known as a lumped parameter network or zero-dimensional (0D) fluid model, to represent blood flow throughout the cardiovascular system. Due to the strong physical interaction between the heart and the blood circulation, developing accurate and efficient numerical coupling methods remains an active area of research. In this work, we present a modular framework f","authors_text":"Aaron L. Brown, Alison L. Marsden, Kaitlin E. Harold, Lei Shi, Martin R. Pfaller, Matteo Salvador, Tzung Hsiai, Vijay Vedula, Zinan Hu","cross_cats":["cs.NA","physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-10-20T19:25:19Z","title":"A Modular Framework for Implicit 3D-0D Coupling in Cardiac Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.13780","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":"sha256:69e3b1a6352bbf1010c742b9ece90d1e05d83303c177666e90f8dceddf6e8bdd","target":"record","created_at":"2026-07-05T07:03:34Z","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":"1417ef892c79a6c11d0fc0e14bd842eb851c241311685c359d1f920cb756c30a","cross_cats_sorted":["cs.NA","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-10-20T19:25:19Z","title_canon_sha256":"c09f32c24f447c04f103b1306a452783007408fc226fee1add42b0ec494ab329"},"schema_version":"1.0","source":{"id":"2310.13780","kind":"arxiv","version":1}},"canonical_sha256":"86a6459508594716ad92fca21771a6fe5966e803e5bccd4c14cc9abd30cb54a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86a6459508594716ad92fca21771a6fe5966e803e5bccd4c14cc9abd30cb54a1","first_computed_at":"2026-07-05T07:03:34.655002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:03:34.655002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gEi1dCrWNXAogZwPyHHySaZXagt6Ec9Ifd+xb+9+XMHNPjF2jPEltNPMl0btXIne/bsIYGO2l7gLPa8jnEr9CA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:03:34.656375Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.13780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69e3b1a6352bbf1010c742b9ece90d1e05d83303c177666e90f8dceddf6e8bdd","sha256:0549101194e9c019bcf6ca8e0d62075b80926a54652ef6b24d273f9b6e8f4484"],"state_sha256":"e381d4f60ac0929a79a29c1825682cd2b68663b1974bca1b4cf0b7a613becc42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3HWZ4LjQCfpeTjond+Io4I/PbWQw91dpA7i91aqUsO1BSUyYvlvggymq5rcTXBT0FYMIwWO9oQbIXZ1+WSlHBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T18:09:25.413973Z","bundle_sha256":"b6da53065d2becfc2ca2f0fbe1be52aee7396ed626699efdc74de8ffb3facccf"}}