{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:IXNWAK44IRINX2SDZ7N45O3Q64","short_pith_number":"pith:IXNWAK44","schema_version":"1.0","canonical_sha256":"45db602b9c4450dbea43cfdbcebb70f702248da793e603d1005ea2c6bb8e8d82","source":{"kind":"arxiv","id":"2302.06269","version":2},"attestation_state":"computed","paper":{"title":"Effects of surface tension and elasticity on critical points of the Kirchhoff-Plateau problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chiara Lonati, Giulia Bevilacqua","submitted_at":"2023-02-13T11:24:05Z","abstract_excerpt":"We introduce a modified Kirchhoff-Plateau problem adding an energy term to penalize shape modifications of the cross-sections appended to the elastic midline. In a specific setting, we characterize quantitatively some properties of minimizers. Indeed, choosing three different geometrical shapes for the cross-section, we derive Euler-Lagrange equations for a planar version of the Kirchhoff-Plateau problem. We show that in the physical range of the parameters, there exists a unique critical point satisfying the imposed constraints. Finally, we analyze the effects of the surface tension on the sh"},"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":"2302.06269","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-02-13T11:24:05Z","cross_cats_sorted":[],"title_canon_sha256":"797e98ea5276b841a8889915b1fc75391f493789c26cb071aaf2d278a067eeae","abstract_canon_sha256":"a8b1269493175843447d73b39158fc0b3f9467c2943e41297de2142a1babb37b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:37:12.694912Z","signature_b64":"yBBoGV0fCO4K+i/gahmM1UaUn7qGR1ilXKUAYq+uQHDiohw20QElUKzoWOHV97Q0wCOLfX0BsgHquxhiprUUBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45db602b9c4450dbea43cfdbcebb70f702248da793e603d1005ea2c6bb8e8d82","last_reissued_at":"2026-07-05T08:37:12.694486Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:37:12.694486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effects of surface tension and elasticity on critical points of the Kirchhoff-Plateau problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chiara Lonati, Giulia Bevilacqua","submitted_at":"2023-02-13T11:24:05Z","abstract_excerpt":"We introduce a modified Kirchhoff-Plateau problem adding an energy term to penalize shape modifications of the cross-sections appended to the elastic midline. In a specific setting, we characterize quantitatively some properties of minimizers. Indeed, choosing three different geometrical shapes for the cross-section, we derive Euler-Lagrange equations for a planar version of the Kirchhoff-Plateau problem. We show that in the physical range of the parameters, there exists a unique critical point satisfying the imposed constraints. Finally, we analyze the effects of the surface tension on the sh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06269","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/2302.06269/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":"2302.06269","created_at":"2026-07-05T08:37:12.694544+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.06269v2","created_at":"2026-07-05T08:37:12.694544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06269","created_at":"2026-07-05T08:37:12.694544+00:00"},{"alias_kind":"pith_short_12","alias_value":"IXNWAK44IRIN","created_at":"2026-07-05T08:37:12.694544+00:00"},{"alias_kind":"pith_short_16","alias_value":"IXNWAK44IRINX2SD","created_at":"2026-07-05T08:37:12.694544+00:00"},{"alias_kind":"pith_short_8","alias_value":"IXNWAK44","created_at":"2026-07-05T08:37:12.694544+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/IXNWAK44IRINX2SDZ7N45O3Q64","json":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64.json","graph_json":"https://pith.science/api/pith-number/IXNWAK44IRINX2SDZ7N45O3Q64/graph.json","events_json":"https://pith.science/api/pith-number/IXNWAK44IRINX2SDZ7N45O3Q64/events.json","paper":"https://pith.science/paper/IXNWAK44"},"agent_actions":{"view_html":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64","download_json":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64.json","view_paper":"https://pith.science/paper/IXNWAK44","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.06269&json=true","fetch_graph":"https://pith.science/api/pith-number/IXNWAK44IRINX2SDZ7N45O3Q64/graph.json","fetch_events":"https://pith.science/api/pith-number/IXNWAK44IRINX2SDZ7N45O3Q64/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64/action/storage_attestation","attest_author":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64/action/author_attestation","sign_citation":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64/action/citation_signature","submit_replication":"https://pith.science/pith/IXNWAK44IRINX2SDZ7N45O3Q64/action/replication_record"}},"created_at":"2026-07-05T08:37:12.694544+00:00","updated_at":"2026-07-05T08:37:12.694544+00:00"}