{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MBBM4QIMBPQVWT2TI5IDBH7SEI","short_pith_number":"pith:MBBM4QIM","canonical_record":{"source":{"id":"2607.19736","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T04:05:46Z","cross_cats_sorted":[],"title_canon_sha256":"9cbeabf38cf9f07dd2c565e7e6667dcac213518ebcc3120f9b0fb4fb0a2bae92","abstract_canon_sha256":"4aeac3222bebd10ec3d4561658f1936eb0d3a7e9dab56e97bab418d88c4bb09c"},"schema_version":"1.0"},"canonical_sha256":"6042ce410c0be15b4f534750309ff222376ba744388b544ab1f1961a77294b60","source":{"kind":"arxiv","id":"2607.19736","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19736","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19736v1","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19736","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"MBBM4QIMBPQV","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"pith_short_16","alias_value":"MBBM4QIMBPQVWT2T","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"pith_short_8","alias_value":"MBBM4QIM","created_at":"2026-07-23T00:24:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MBBM4QIMBPQVWT2TI5IDBH7SEI","target":"record","payload":{"canonical_record":{"source":{"id":"2607.19736","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T04:05:46Z","cross_cats_sorted":[],"title_canon_sha256":"9cbeabf38cf9f07dd2c565e7e6667dcac213518ebcc3120f9b0fb4fb0a2bae92","abstract_canon_sha256":"4aeac3222bebd10ec3d4561658f1936eb0d3a7e9dab56e97bab418d88c4bb09c"},"schema_version":"1.0"},"canonical_sha256":"6042ce410c0be15b4f534750309ff222376ba744388b544ab1f1961a77294b60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T00:24:06.531880Z","signature_b64":"JaYCSIPaz3EkcvjuZ/Xy5v5G8InnswcEW8F0v3vzyesFg0nTymgb/qFWh+ILWxit0h/D9U8FX1trPoJq4gpRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6042ce410c0be15b4f534750309ff222376ba744388b544ab1f1961a77294b60","last_reissued_at":"2026-07-23T00:24:06.531055Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T00:24:06.531055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.19736","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-23T00:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ypZN/2Ky5fmg+oppEFDkhXbktvk4Hiuj6rZJGePqe8spqftaLbTMUCfQ4RPk6L3l8zG+PvyRNtlZQ4bbQvUnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:44:15.974943Z"},"content_sha256":"71b4c34eeacbce8bce4c071b04519615ae05c3fb8df83d0045e037c9807295f1","schema_version":"1.0","event_id":"sha256:71b4c34eeacbce8bce4c071b04519615ae05c3fb8df83d0045e037c9807295f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MBBM4QIMBPQVWT2TI5IDBH7SEI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Buma Jin Jin","submitted_at":"2026-07-22T04:05:46Z","abstract_excerpt":"We study the linearized motion of a spherical rigid body immersed in an incompressible viscous fluid occupying the whole space, under Navier slip boundary conditions with friction. While semigroup regularity and decay estimates are well understood for the no-slip case, such results have been limited to bounded domains in the slip setting. By exploiting the geometric regularity of the sphere, we establish strong $L^q$-regularity, bounded analyticity, and sharp $ L^q-L^r$ estimates for the corresponding fluid-structure operator. These results would provide a foundation for constructing strong $W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19736","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/2607.19736/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":"2026-07-23T00:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TK9ZEDbL5kezWhwywFu6UU3dAykXMh1JDC1xRgDreiRnlhHqI3A+aDjUeYxh2ONEm88GKq59cHv27PlLkQmeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:44:15.975622Z"},"content_sha256":"9999536a8d0dd48b463853d0fa49df63b0e116877d9c5d0f8558b29914c6ee20","schema_version":"1.0","event_id":"sha256:9999536a8d0dd48b463853d0fa49df63b0e116877d9c5d0f8558b29914c6ee20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBBM4QIMBPQVWT2TI5IDBH7SEI/bundle.json","state_url":"https://pith.science/pith/MBBM4QIMBPQVWT2TI5IDBH7SEI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBBM4QIMBPQVWT2TI5IDBH7SEI/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":"2026-08-11T11:44:15Z","links":{"resolver":"https://pith.science/pith/MBBM4QIMBPQVWT2TI5IDBH7SEI","bundle":"https://pith.science/pith/MBBM4QIMBPQVWT2TI5IDBH7SEI/bundle.json","state":"https://pith.science/pith/MBBM4QIMBPQVWT2TI5IDBH7SEI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBBM4QIMBPQVWT2TI5IDBH7SEI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MBBM4QIMBPQVWT2TI5IDBH7SEI","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":"4aeac3222bebd10ec3d4561658f1936eb0d3a7e9dab56e97bab418d88c4bb09c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T04:05:46Z","title_canon_sha256":"9cbeabf38cf9f07dd2c565e7e6667dcac213518ebcc3120f9b0fb4fb0a2bae92"},"schema_version":"1.0","source":{"id":"2607.19736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19736","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19736v1","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19736","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"MBBM4QIMBPQV","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"pith_short_16","alias_value":"MBBM4QIMBPQVWT2T","created_at":"2026-07-23T00:24:06Z"},{"alias_kind":"pith_short_8","alias_value":"MBBM4QIM","created_at":"2026-07-23T00:24:06Z"}],"graph_snapshots":[{"event_id":"sha256:9999536a8d0dd48b463853d0fa49df63b0e116877d9c5d0f8558b29914c6ee20","target":"graph","created_at":"2026-07-23T00:24:06Z","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/2607.19736/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the linearized motion of a spherical rigid body immersed in an incompressible viscous fluid occupying the whole space, under Navier slip boundary conditions with friction. While semigroup regularity and decay estimates are well understood for the no-slip case, such results have been limited to bounded domains in the slip setting. By exploiting the geometric regularity of the sphere, we establish strong $L^q$-regularity, bounded analyticity, and sharp $ L^q-L^r$ estimates for the corresponding fluid-structure operator. These results would provide a foundation for constructing strong $W","authors_text":"Buma Jin Jin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19736","kind":"arxiv","version":1},"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":"sha256:71b4c34eeacbce8bce4c071b04519615ae05c3fb8df83d0045e037c9807295f1","target":"record","created_at":"2026-07-23T00:24:06Z","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":"4aeac3222bebd10ec3d4561658f1936eb0d3a7e9dab56e97bab418d88c4bb09c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T04:05:46Z","title_canon_sha256":"9cbeabf38cf9f07dd2c565e7e6667dcac213518ebcc3120f9b0fb4fb0a2bae92"},"schema_version":"1.0","source":{"id":"2607.19736","kind":"arxiv","version":1}},"canonical_sha256":"6042ce410c0be15b4f534750309ff222376ba744388b544ab1f1961a77294b60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6042ce410c0be15b4f534750309ff222376ba744388b544ab1f1961a77294b60","first_computed_at":"2026-07-23T00:24:06.531055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T00:24:06.531055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JaYCSIPaz3EkcvjuZ/Xy5v5G8InnswcEW8F0v3vzyesFg0nTymgb/qFWh+ILWxit0h/D9U8FX1trPoJq4gpRAA==","signature_status":"signed_v1","signed_at":"2026-07-23T00:24:06.531880Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71b4c34eeacbce8bce4c071b04519615ae05c3fb8df83d0045e037c9807295f1","sha256:9999536a8d0dd48b463853d0fa49df63b0e116877d9c5d0f8558b29914c6ee20"],"state_sha256":"0ddc2301b3cc630a6e3e22ae573820420ca301cb4a7d6943e1f98470320435e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MWvWa7p+Ei+y8EcwGfAdrZhH/GmswpYvHt9CoRpHWdm5cSMfKj9n8jVC0ybOYKV+ysiK4pQNAMtTIjK2lTNUCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T11:44:15.980214Z","bundle_sha256":"42456c34775fa199bba2ad330bb07c563aa4b32ecad92fb1b2d52637e7d28f0d"}}