{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RYUKBGVUYTRHYY6J7ATYR5RQSZ","short_pith_number":"pith:RYUKBGVU","canonical_record":{"source":{"id":"1702.05830","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T01:44:58Z","cross_cats_sorted":["physics.flu-dyn","q-bio.TO"],"title_canon_sha256":"d07b449b2947df47d7743112f4b15864b92be6b73749e3909c3630b78e8b70f6","abstract_canon_sha256":"01ccfa77c8d634682c1c9bce1fe85e632f2f056fa13ba02d5e5b2068b4874b93"},"schema_version":"1.0"},"canonical_sha256":"8e28a09ab4c4e27c63c9f82788f630966adf633492236251f615d24af1918ddd","source":{"kind":"arxiv","id":"1702.05830","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05830","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05830v2","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05830","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"RYUKBGVUYTRH","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RYUKBGVUYTRHYY6J","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RYUKBGVU","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RYUKBGVUYTRHYY6J7ATYR5RQSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1702.05830","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T01:44:58Z","cross_cats_sorted":["physics.flu-dyn","q-bio.TO"],"title_canon_sha256":"d07b449b2947df47d7743112f4b15864b92be6b73749e3909c3630b78e8b70f6","abstract_canon_sha256":"01ccfa77c8d634682c1c9bce1fe85e632f2f056fa13ba02d5e5b2068b4874b93"},"schema_version":"1.0"},"canonical_sha256":"8e28a09ab4c4e27c63c9f82788f630966adf633492236251f615d24af1918ddd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:31.384906Z","signature_b64":"g+HNthKH4ObukpnCpdtweN8O0prZ3Db96jIhJ3uWIR4zvV/yS2vOMsALou2y5MvtqNCNZBwjfNXyvatvqMWJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e28a09ab4c4e27c63c9f82788f630966adf633492236251f615d24af1918ddd","last_reissued_at":"2026-05-18T00:49:31.384202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:31.384202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.05830","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D2953rcRsoogI0M3i/Br3RqUajkdBZMtLGMQyGxR7p2q+RCpXyRwOiSI41KJvRPfTue4ow185zE6YjFxf04fBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T07:03:06.129072Z"},"content_sha256":"598f24b45e48498f9435d3b34161b41eb786132eafa9590af09639dc564ec8ba","schema_version":"1.0","event_id":"sha256:598f24b45e48498f9435d3b34161b41eb786132eafa9590af09639dc564ec8ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RYUKBGVUYTRHYY6J7ATYR5RQSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A one-dimensional mathematical model of collecting lymphatics coupled with an electro-fluid-mechanical contraction model and valve dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn","q-bio.TO"],"primary_cat":"math.NA","authors_text":"Christian Contarino, Eleuterio F. Toro","submitted_at":"2017-02-20T01:44:58Z","abstract_excerpt":"We propose a one-dimensional model for collecting lymphatics coupled with a novel Electro-Fluid-Mechanical Contraction (EFMC) model for dynamical contractions, based on a modified FitzHugh-Nagumo model for action potentials. The one-dimensional model for a compliant lymphatic vessel is a set of hyperbolic Partial Differential Equations (PDEs). The EFMC model combines the electrical activity of lymphangions (action potentials) with fluid-mechanical feedback (stretch of the lymphatic wall and wall shear stress) and the mechanical variation of the lymphatic wall properties (contractions). The EFM"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05830","kind":"arxiv","version":2},"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":"2026-05-18T00:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rJ/Sxw3Vl7EgaY9eIar/Sc+Iu1TqYRlRauBNrq/BeQ0GtP9yrGqjBGiES1kYIJK6kRKYpQU1a2BkKUKXFIcEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T07:03:06.129451Z"},"content_sha256":"5a46462a1a8696f25bfba6c3c6a2f4712de16dfac173914aac5510834b7b9763","schema_version":"1.0","event_id":"sha256:5a46462a1a8696f25bfba6c3c6a2f4712de16dfac173914aac5510834b7b9763"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RYUKBGVUYTRHYY6J7ATYR5RQSZ/bundle.json","state_url":"https://pith.science/pith/RYUKBGVUYTRHYY6J7ATYR5RQSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RYUKBGVUYTRHYY6J7ATYR5RQSZ/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":"2026-05-23T07:03:06Z","links":{"resolver":"https://pith.science/pith/RYUKBGVUYTRHYY6J7ATYR5RQSZ","bundle":"https://pith.science/pith/RYUKBGVUYTRHYY6J7ATYR5RQSZ/bundle.json","state":"https://pith.science/pith/RYUKBGVUYTRHYY6J7ATYR5RQSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RYUKBGVUYTRHYY6J7ATYR5RQSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RYUKBGVUYTRHYY6J7ATYR5RQSZ","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":"01ccfa77c8d634682c1c9bce1fe85e632f2f056fa13ba02d5e5b2068b4874b93","cross_cats_sorted":["physics.flu-dyn","q-bio.TO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T01:44:58Z","title_canon_sha256":"d07b449b2947df47d7743112f4b15864b92be6b73749e3909c3630b78e8b70f6"},"schema_version":"1.0","source":{"id":"1702.05830","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05830","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05830v2","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05830","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"RYUKBGVUYTRH","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RYUKBGVUYTRHYY6J","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RYUKBGVU","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:5a46462a1a8696f25bfba6c3c6a2f4712de16dfac173914aac5510834b7b9763","target":"graph","created_at":"2026-05-18T00:49:31Z","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 propose a one-dimensional model for collecting lymphatics coupled with a novel Electro-Fluid-Mechanical Contraction (EFMC) model for dynamical contractions, based on a modified FitzHugh-Nagumo model for action potentials. The one-dimensional model for a compliant lymphatic vessel is a set of hyperbolic Partial Differential Equations (PDEs). The EFMC model combines the electrical activity of lymphangions (action potentials) with fluid-mechanical feedback (stretch of the lymphatic wall and wall shear stress) and the mechanical variation of the lymphatic wall properties (contractions). The EFM","authors_text":"Christian Contarino, Eleuterio F. Toro","cross_cats":["physics.flu-dyn","q-bio.TO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T01:44:58Z","title":"A one-dimensional mathematical model of collecting lymphatics coupled with an electro-fluid-mechanical contraction model and valve dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05830","kind":"arxiv","version":2},"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":"sha256:598f24b45e48498f9435d3b34161b41eb786132eafa9590af09639dc564ec8ba","target":"record","created_at":"2026-05-18T00:49:31Z","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":"01ccfa77c8d634682c1c9bce1fe85e632f2f056fa13ba02d5e5b2068b4874b93","cross_cats_sorted":["physics.flu-dyn","q-bio.TO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T01:44:58Z","title_canon_sha256":"d07b449b2947df47d7743112f4b15864b92be6b73749e3909c3630b78e8b70f6"},"schema_version":"1.0","source":{"id":"1702.05830","kind":"arxiv","version":2}},"canonical_sha256":"8e28a09ab4c4e27c63c9f82788f630966adf633492236251f615d24af1918ddd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e28a09ab4c4e27c63c9f82788f630966adf633492236251f615d24af1918ddd","first_computed_at":"2026-05-18T00:49:31.384202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:31.384202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g+HNthKH4ObukpnCpdtweN8O0prZ3Db96jIhJ3uWIR4zvV/yS2vOMsALou2y5MvtqNCNZBwjfNXyvatvqMWJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:31.384906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05830","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:598f24b45e48498f9435d3b34161b41eb786132eafa9590af09639dc564ec8ba","sha256:5a46462a1a8696f25bfba6c3c6a2f4712de16dfac173914aac5510834b7b9763"],"state_sha256":"dde1964d8144d49bead59a5e8de14a3e5c0bc8a0c101d6a05256b047e885f0dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mwCNORjlzgp3os3OOENH3aRdJ2IoyFS3iUb9unOxkrUA2TQBsQzxvyH11XA6f9v9atXv5iWlApj13lj6glrlCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T07:03:06.131615Z","bundle_sha256":"8f2bf17433ba24232c08bdd82ff809d31339d8a43c51f485facebfd56ba74cbb"}}