{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PPFNPS32VINFBELW5QV6H3JGLO","short_pith_number":"pith:PPFNPS32","schema_version":"1.0","canonical_sha256":"7bcad7cb7aaa1a509176ec2be3ed265bba76bd92027d7eaf89c26e01d8068e95","source":{"kind":"arxiv","id":"2606.21225","version":1},"attestation_state":"computed","paper":{"title":"Thermo-responsive self-oscillating gel: mathematical model and theoretical analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Ling Yuan, Lin Ren, Qingyu Gao, Yunjie Wang, Zihao Liu","submitted_at":"2026-06-19T08:44:01Z","abstract_excerpt":"Internally heated LCST thermo-responsive gels can show self-sustained swelling and collapse oscillations through feedback between temperature-induced collapse and collapse-suppressed heating. In this work, a minimal two-variable model is developed by coupling gel swelling dynamics with a lumped thermal balance. The analysis shows that stable large-amplitude oscillations are mainly controlled by global bifurcations of limit cycles, rather than by the local Hopf bifurcation. The Hopf bifurcation is subcritical in the studied parameter range, leading to a broad coexistence region where a stable f"},"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":"2606.21225","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-19T08:44:01Z","cross_cats_sorted":[],"title_canon_sha256":"83519ef52eb18caf3b32ba6dae45295779e6ca64f888fd889e1002cf3d0e6b38","abstract_canon_sha256":"0c6d2cc157ba8f86f38066888519cdb68a6b9a95be5f60f5b0ea181c2d7ce2fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:12:33.905394Z","signature_b64":"hQ0WajktNl925Xo4/C8dfyAk+5R8mFL2JIW93HKLHc/uTOObOhNZ/PL4T2iV6zkHHJNvRCLTouBwlmWOd2qOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bcad7cb7aaa1a509176ec2be3ed265bba76bd92027d7eaf89c26e01d8068e95","last_reissued_at":"2026-06-23T01:12:33.904935Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:12:33.904935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermo-responsive self-oscillating gel: mathematical model and theoretical analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Ling Yuan, Lin Ren, Qingyu Gao, Yunjie Wang, Zihao Liu","submitted_at":"2026-06-19T08:44:01Z","abstract_excerpt":"Internally heated LCST thermo-responsive gels can show self-sustained swelling and collapse oscillations through feedback between temperature-induced collapse and collapse-suppressed heating. In this work, a minimal two-variable model is developed by coupling gel swelling dynamics with a lumped thermal balance. The analysis shows that stable large-amplitude oscillations are mainly controlled by global bifurcations of limit cycles, rather than by the local Hopf bifurcation. The Hopf bifurcation is subcritical in the studied parameter range, leading to a broad coexistence region where a stable f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21225","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/2606.21225/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":"2606.21225","created_at":"2026-06-23T01:12:33.905008+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.21225v1","created_at":"2026-06-23T01:12:33.905008+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21225","created_at":"2026-06-23T01:12:33.905008+00:00"},{"alias_kind":"pith_short_12","alias_value":"PPFNPS32VINF","created_at":"2026-06-23T01:12:33.905008+00:00"},{"alias_kind":"pith_short_16","alias_value":"PPFNPS32VINFBELW","created_at":"2026-06-23T01:12:33.905008+00:00"},{"alias_kind":"pith_short_8","alias_value":"PPFNPS32","created_at":"2026-06-23T01:12:33.905008+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO","json":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO.json","graph_json":"https://pith.science/api/pith-number/PPFNPS32VINFBELW5QV6H3JGLO/graph.json","events_json":"https://pith.science/api/pith-number/PPFNPS32VINFBELW5QV6H3JGLO/events.json","paper":"https://pith.science/paper/PPFNPS32"},"agent_actions":{"view_html":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO","download_json":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO.json","view_paper":"https://pith.science/paper/PPFNPS32","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.21225&json=true","fetch_graph":"https://pith.science/api/pith-number/PPFNPS32VINFBELW5QV6H3JGLO/graph.json","fetch_events":"https://pith.science/api/pith-number/PPFNPS32VINFBELW5QV6H3JGLO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO/action/storage_attestation","attest_author":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO/action/author_attestation","sign_citation":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO/action/citation_signature","submit_replication":"https://pith.science/pith/PPFNPS32VINFBELW5QV6H3JGLO/action/replication_record"}},"created_at":"2026-06-23T01:12:33.905008+00:00","updated_at":"2026-06-23T01:12:33.905008+00:00"}