{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BBVAJPC3WWEAIOJYLISQBDHI4R","short_pith_number":"pith:BBVAJPC3","canonical_record":{"source":{"id":"2411.17553","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T16:15:46Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"23b6f85f416973dc7672017199fcbcd3864724c7a90078457245adedd17d7854","abstract_canon_sha256":"9b99984211c0505109decd90a673f774908e362bdb6fb3d5db1ad98fb7ccfec9"},"schema_version":"1.0"},"canonical_sha256":"086a04bc5bb5880439385a25008ce8e46d7de556c1882c481bfd443d8adac728","source":{"kind":"arxiv","id":"2411.17553","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17553","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17553v2","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17553","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"BBVAJPC3WWEA","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"pith_short_16","alias_value":"BBVAJPC3WWEAIOJY","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"pith_short_8","alias_value":"BBVAJPC3","created_at":"2026-07-05T10:45:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BBVAJPC3WWEAIOJYLISQBDHI4R","target":"record","payload":{"canonical_record":{"source":{"id":"2411.17553","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T16:15:46Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"23b6f85f416973dc7672017199fcbcd3864724c7a90078457245adedd17d7854","abstract_canon_sha256":"9b99984211c0505109decd90a673f774908e362bdb6fb3d5db1ad98fb7ccfec9"},"schema_version":"1.0"},"canonical_sha256":"086a04bc5bb5880439385a25008ce8e46d7de556c1882c481bfd443d8adac728","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:45:14.365085Z","signature_b64":"wDe1B4Hu1wkwLvJIWdX8W7Zyl9zaAfNuNQR1WY4ZYHpIglrh4aRcEy2ezrabtvFnjztJ9lPqH1LOgrIOwa8DDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"086a04bc5bb5880439385a25008ce8e46d7de556c1882c481bfd443d8adac728","last_reissued_at":"2026-07-05T10:45:14.364639Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:45:14.364639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.17553","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":"2026-07-05T10:45:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MIGoXvoFUvv96FFhcrm4XF7IAaCzOfgfj1D6ojptxgqZ2bCUdIN+Q8HgxmX86UtkxTGv4aCdGt1hoLLUyjNuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:42:04.734937Z"},"content_sha256":"13ef987b5b2d3ebe97d7a29198c1d74d12d86679f4764161631ab15eaf1b02a5","schema_version":"1.0","event_id":"sha256:13ef987b5b2d3ebe97d7a29198c1d74d12d86679f4764161631ab15eaf1b02a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BBVAJPC3WWEAIOJYLISQBDHI4R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structural identifiability of linear-in-parameter parabolic PDEs through auxiliary elliptic operators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["q-bio.QM"],"primary_cat":"math.AP","authors_text":"Alexander P Browning, Yurij Salmaniw","submitted_at":"2024-11-26T16:15:46Z","abstract_excerpt":"Parameter identifiability is often requisite to the effective application of mathematical models in the interpretation of biological data, however theory applicable to the study of partial differential equations remains limited. We present a new approach to structural identifiability analysis of fully observed parabolic equations that are linear in their parameters. Our approach frames identifiability as an existence and uniqueness problem in a closely related elliptic equation and draws, for homogeneous equations, on the well-known Fredholm alternative to establish unconditional identifiabili"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17553","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.17553/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":"2026-07-05T10:45:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UI1pjjTeLtkdDVWtN4/ggqrbGwvPgC1xuvfBmbLsGr27PefImEGSQzlWJeVCEFZIVe1nk4aLedXYKv9UlnEoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:42:04.735821Z"},"content_sha256":"57d0cddf0377f7b5e089b7c9109aa1462fd3aecafc25bdc73c9374873859bb72","schema_version":"1.0","event_id":"sha256:57d0cddf0377f7b5e089b7c9109aa1462fd3aecafc25bdc73c9374873859bb72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BBVAJPC3WWEAIOJYLISQBDHI4R/bundle.json","state_url":"https://pith.science/pith/BBVAJPC3WWEAIOJYLISQBDHI4R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BBVAJPC3WWEAIOJYLISQBDHI4R/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":"2026-08-13T01:42:04Z","links":{"resolver":"https://pith.science/pith/BBVAJPC3WWEAIOJYLISQBDHI4R","bundle":"https://pith.science/pith/BBVAJPC3WWEAIOJYLISQBDHI4R/bundle.json","state":"https://pith.science/pith/BBVAJPC3WWEAIOJYLISQBDHI4R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BBVAJPC3WWEAIOJYLISQBDHI4R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BBVAJPC3WWEAIOJYLISQBDHI4R","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":"9b99984211c0505109decd90a673f774908e362bdb6fb3d5db1ad98fb7ccfec9","cross_cats_sorted":["q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T16:15:46Z","title_canon_sha256":"23b6f85f416973dc7672017199fcbcd3864724c7a90078457245adedd17d7854"},"schema_version":"1.0","source":{"id":"2411.17553","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17553","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17553v2","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17553","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"BBVAJPC3WWEA","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"pith_short_16","alias_value":"BBVAJPC3WWEAIOJY","created_at":"2026-07-05T10:45:14Z"},{"alias_kind":"pith_short_8","alias_value":"BBVAJPC3","created_at":"2026-07-05T10:45:14Z"}],"graph_snapshots":[{"event_id":"sha256:57d0cddf0377f7b5e089b7c9109aa1462fd3aecafc25bdc73c9374873859bb72","target":"graph","created_at":"2026-07-05T10:45:14Z","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/2411.17553/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Parameter identifiability is often requisite to the effective application of mathematical models in the interpretation of biological data, however theory applicable to the study of partial differential equations remains limited. We present a new approach to structural identifiability analysis of fully observed parabolic equations that are linear in their parameters. Our approach frames identifiability as an existence and uniqueness problem in a closely related elliptic equation and draws, for homogeneous equations, on the well-known Fredholm alternative to establish unconditional identifiabili","authors_text":"Alexander P Browning, Yurij Salmaniw","cross_cats":["q-bio.QM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T16:15:46Z","title":"Structural identifiability of linear-in-parameter parabolic PDEs through auxiliary elliptic operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17553","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":"sha256:13ef987b5b2d3ebe97d7a29198c1d74d12d86679f4764161631ab15eaf1b02a5","target":"record","created_at":"2026-07-05T10:45:14Z","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":"9b99984211c0505109decd90a673f774908e362bdb6fb3d5db1ad98fb7ccfec9","cross_cats_sorted":["q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T16:15:46Z","title_canon_sha256":"23b6f85f416973dc7672017199fcbcd3864724c7a90078457245adedd17d7854"},"schema_version":"1.0","source":{"id":"2411.17553","kind":"arxiv","version":2}},"canonical_sha256":"086a04bc5bb5880439385a25008ce8e46d7de556c1882c481bfd443d8adac728","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"086a04bc5bb5880439385a25008ce8e46d7de556c1882c481bfd443d8adac728","first_computed_at":"2026-07-05T10:45:14.364639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:14.364639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wDe1B4Hu1wkwLvJIWdX8W7Zyl9zaAfNuNQR1WY4ZYHpIglrh4aRcEy2ezrabtvFnjztJ9lPqH1LOgrIOwa8DDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:14.365085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17553","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13ef987b5b2d3ebe97d7a29198c1d74d12d86679f4764161631ab15eaf1b02a5","sha256:57d0cddf0377f7b5e089b7c9109aa1462fd3aecafc25bdc73c9374873859bb72"],"state_sha256":"c7a7a6a800d8fde0c395a6befaffc68f9fadbe3950306f272832e373731da859"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j7kJ/o8wm/gpE1tMjJL9JsnXxOFImmysM0sLO3VJVfO8tiW6G9N4oSSsnBmTzouYQEHSOARC66ZKv5kOKOVeCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T01:42:04.741646Z","bundle_sha256":"c66427c14b2f0a9764e4053a41b83e817135282b7b08042e80e476f3314a922c"}}