{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ARXV2PH2S3X75AOY5J7E5HFJJN","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":"80e4a0d8527f9b28c13a11bad9fa2531bfffd3bdb3c21482e8abd6ebc9badd8b","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-02-08T18:24:20Z","title_canon_sha256":"e9eb4cffd09ccad99a15c89dd12c504bef3ef7e76940aaa2393df44059e05de5"},"schema_version":"1.0","source":{"id":"2102.04417","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.04417","created_at":"2026-07-05T02:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"2102.04417v2","created_at":"2026-07-05T02:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.04417","created_at":"2026-07-05T02:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"ARXV2PH2S3X7","created_at":"2026-07-05T02:50:43Z"},{"alias_kind":"pith_short_16","alias_value":"ARXV2PH2S3X75AOY","created_at":"2026-07-05T02:50:43Z"},{"alias_kind":"pith_short_8","alias_value":"ARXV2PH2","created_at":"2026-07-05T02:50:43Z"}],"graph_snapshots":[{"event_id":"sha256:807ae07a5e84f4fcc514bd511aa97cba5497808bae66af23d71cb8d198865d72","target":"graph","created_at":"2026-07-05T02:50:43Z","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/2102.04417/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A mathematical model is identifiable if its parameters can be recovered from data. Here, we focus on a particular class of model, linear compartmental models, which are used to represent the transfer of substances in a system. We analyze what happens to identifiability when operations are performed on a model, specifically, adding or deleting a leak or an edge. We first consider the conjecture of Gross et al. that states that removing a leak from an identifiable model yields a model that is again identifiable. We prove a special case of this conjecture, and also show that the conjecture is equ","authors_text":"Aleksandra Sobieska, Anne Shiu, Clare Spinner, Katherine Johnston, Patrick Chan","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-02-08T18:24:20Z","title":"Identifiability of Linear Compartmental Models: The Impact of Removing Leaks and Edges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.04417","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:cf7bfc8e33dad1488b8b0acc02b87f37bf3957a843ef84858a832831f76a2392","target":"record","created_at":"2026-07-05T02:50:43Z","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":"80e4a0d8527f9b28c13a11bad9fa2531bfffd3bdb3c21482e8abd6ebc9badd8b","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-02-08T18:24:20Z","title_canon_sha256":"e9eb4cffd09ccad99a15c89dd12c504bef3ef7e76940aaa2393df44059e05de5"},"schema_version":"1.0","source":{"id":"2102.04417","kind":"arxiv","version":2}},"canonical_sha256":"046f5d3cfa96effe81d8ea7e4e9ca94b50ce337c9f686709ebffca8729e9d245","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"046f5d3cfa96effe81d8ea7e4e9ca94b50ce337c9f686709ebffca8729e9d245","first_computed_at":"2026-07-05T02:50:43.678585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:50:43.678585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EUYmEGCxi66LafTDKwA9muzeB7E/JLNjz3y30qvpU61TIVQpKiY9tU0tVJ3Vz/pfL3WGbFhdlsR+7kbGxKJyDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:50:43.678985Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.04417","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf7bfc8e33dad1488b8b0acc02b87f37bf3957a843ef84858a832831f76a2392","sha256:807ae07a5e84f4fcc514bd511aa97cba5497808bae66af23d71cb8d198865d72"],"state_sha256":"a02cc5b7a7af5f02d88596fffeaf8e9d2bd1e66126362b900a095efd335d2947"}