{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:J4PD4QRUPU5BHDIRB54XI5D7HM","short_pith_number":"pith:J4PD4QRU","schema_version":"1.0","canonical_sha256":"4f1e3e42347d3a138d110f7974747f3b3a141a5d1b435d50b11cc6a4bca8b279","source":{"kind":"arxiv","id":"2312.11683","version":5},"attestation_state":"computed","paper":{"title":"Rigidity of Epithelial Tissues as a Double Optimization Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.TO"],"primary_cat":"cond-mat.soft","authors_text":"Andrea J. Liu, Indrajit Tah, M. Lisa Manning, Sadjad Arzash","submitted_at":"2023-12-18T20:03:39Z","abstract_excerpt":"How do cells tune emergent properties at the scale of tissues? One class of such emergent behaviors are rigidity transitions, in which a tissue changes from a solid-like to a fluid-like state or vice versa. Here, we introduce a new way for a tissue described by a vertex model to tune its rigidity, by using ``tunable degrees of freedom.\" We use the vertex model elastic energy as a cost function and the cell stiffnesses, target shapes, and target areas as different sets of degrees of freedom describing cell-cell interactions that can be tuned to minimize the cost function. We show that the rigid"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2312.11683","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2023-12-18T20:03:39Z","cross_cats_sorted":["physics.bio-ph","q-bio.TO"],"title_canon_sha256":"b17b2359f9bc005358e07d2b49ff307b5797f033e7bf468ebd73e21cb0998155","abstract_canon_sha256":"66a322f50c581ea214df7da8ed44d340f8a4238e99d6bb3348c1f1dd473ad01b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:14:22.880855Z","signature_b64":"NfKSHR2dzwTx6TXsbYtzOac0TEydZZbdErVxNYwsfGDWIicX5QsUwQUFbE0/ttjN0MFbCgMyHzbN/hoh5J7vBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f1e3e42347d3a138d110f7974747f3b3a141a5d1b435d50b11cc6a4bca8b279","last_reissued_at":"2026-07-05T11:14:22.880367Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:14:22.880367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rigidity of Epithelial Tissues as a Double Optimization Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.TO"],"primary_cat":"cond-mat.soft","authors_text":"Andrea J. Liu, Indrajit Tah, M. Lisa Manning, Sadjad Arzash","submitted_at":"2023-12-18T20:03:39Z","abstract_excerpt":"How do cells tune emergent properties at the scale of tissues? One class of such emergent behaviors are rigidity transitions, in which a tissue changes from a solid-like to a fluid-like state or vice versa. Here, we introduce a new way for a tissue described by a vertex model to tune its rigidity, by using ``tunable degrees of freedom.\" We use the vertex model elastic energy as a cost function and the cell stiffnesses, target shapes, and target areas as different sets of degrees of freedom describing cell-cell interactions that can be tuned to minimize the cost function. We show that the rigid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.11683","kind":"arxiv","version":5},"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/2312.11683/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2312.11683","created_at":"2026-07-05T11:14:22.880431+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.11683v5","created_at":"2026-07-05T11:14:22.880431+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.11683","created_at":"2026-07-05T11:14:22.880431+00:00"},{"alias_kind":"pith_short_12","alias_value":"J4PD4QRUPU5B","created_at":"2026-07-05T11:14:22.880431+00:00"},{"alias_kind":"pith_short_16","alias_value":"J4PD4QRUPU5BHDIR","created_at":"2026-07-05T11:14:22.880431+00:00"},{"alias_kind":"pith_short_8","alias_value":"J4PD4QRU","created_at":"2026-07-05T11:14:22.880431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.18432","citing_title":"Rigidity and mechanical response in biological structures","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM","json":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM.json","graph_json":"https://pith.science/api/pith-number/J4PD4QRUPU5BHDIRB54XI5D7HM/graph.json","events_json":"https://pith.science/api/pith-number/J4PD4QRUPU5BHDIRB54XI5D7HM/events.json","paper":"https://pith.science/paper/J4PD4QRU"},"agent_actions":{"view_html":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM","download_json":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM.json","view_paper":"https://pith.science/paper/J4PD4QRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.11683&json=true","fetch_graph":"https://pith.science/api/pith-number/J4PD4QRUPU5BHDIRB54XI5D7HM/graph.json","fetch_events":"https://pith.science/api/pith-number/J4PD4QRUPU5BHDIRB54XI5D7HM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM/action/storage_attestation","attest_author":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM/action/author_attestation","sign_citation":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM/action/citation_signature","submit_replication":"https://pith.science/pith/J4PD4QRUPU5BHDIRB54XI5D7HM/action/replication_record"}},"created_at":"2026-07-05T11:14:22.880431+00:00","updated_at":"2026-07-05T11:14:22.880431+00:00"}