{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:IPLUARUMOFVYYOL6H6SGJB5UNH","short_pith_number":"pith:IPLUARUM","canonical_record":{"source":{"id":"2411.14882","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T12:05:22Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"24e6f2952dcd7c847e47ce94aa66b8d167fdb7cb214d455f16f2b3bdd4fcebd9","abstract_canon_sha256":"66779b00bf5a7d974602e3502a1df7f90c4795a3d2d7f95d3346a662e60d7a04"},"schema_version":"1.0"},"canonical_sha256":"43d740468c716b8c397e3fa46487b469ff9182c50fc65b8a1fb6d12f6aa55f46","source":{"kind":"arxiv","id":"2411.14882","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14882","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14882v2","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14882","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"IPLUARUMOFVY","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"pith_short_16","alias_value":"IPLUARUMOFVYYOL6","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"pith_short_8","alias_value":"IPLUARUM","created_at":"2026-07-05T09:40:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:IPLUARUMOFVYYOL6H6SGJB5UNH","target":"record","payload":{"canonical_record":{"source":{"id":"2411.14882","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T12:05:22Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"24e6f2952dcd7c847e47ce94aa66b8d167fdb7cb214d455f16f2b3bdd4fcebd9","abstract_canon_sha256":"66779b00bf5a7d974602e3502a1df7f90c4795a3d2d7f95d3346a662e60d7a04"},"schema_version":"1.0"},"canonical_sha256":"43d740468c716b8c397e3fa46487b469ff9182c50fc65b8a1fb6d12f6aa55f46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:40:21.619336Z","signature_b64":"mGhTDxiecdQpuaceCfCWovzN9n/ffZO0eB6aBBRex7P6AJ24CiLAp7tyKf+pACQ+p1DPlQPZZCwBkN/uPg9JBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43d740468c716b8c397e3fa46487b469ff9182c50fc65b8a1fb6d12f6aa55f46","last_reissued_at":"2026-07-05T09:40:21.618827Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:40:21.618827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.14882","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4hgL8FkrKrlJeGgLK9eD4o9FwDVDkF6+7oGxJNR+hLJRYFOKtUWYWQ7ThpI26E5ex7UB2VnnnC4sI+AsQ2jDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:30:19.608121Z"},"content_sha256":"25e92837daf5aec2b51427cffed47080f7346da15a03ab06b8be90f683a31253","schema_version":"1.0","event_id":"sha256:25e92837daf5aec2b51427cffed47080f7346da15a03ab06b8be90f683a31253"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:IPLUARUMOFVYYOL6H6SGJB5UNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Temporal Decay of Compressible Hookean Viscoelastic Fluids with Relatively Large Elasticity Coefficient","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AP","authors_text":"Fei Jiang, Shengbin Fu, Wenting Huang","submitted_at":"2024-11-22T12:05:22Z","abstract_excerpt":"Recently, Jiang--Jiang (J. Differential Equations 282, 2021) showed the existence of unique strong solutions in spatial periodic domain (denoted by $\\mathbb{T}^3$), whenever the elasticity coefficient is larger than the initial velocity perturbation of the rest state. Motivated by Jiang--Jiang's result, we revisit the Cauchy problem of the compressible viscoelastic fluids in Lagrangian coordinates. Employing an energy method with temporal weights and an additional asymptotic stability condition of initial density in Lagrangian coordinates, we extend the Jiang--Jiang's result with exponential d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14882","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/2411.14882/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":"2026-07-05T09:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1dGutCtTe/w7r74C+M7WH884kuPjDBSKQzb7yInaDGHLNp5yK9hLfdZI9pURXa/cx+HF7Oqah9GZLzHhPDCoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:30:19.608623Z"},"content_sha256":"6606c43a5e2add44ebc8b0010c00a5d0f6f2caec08544b7136c009d41890ea7d","schema_version":"1.0","event_id":"sha256:6606c43a5e2add44ebc8b0010c00a5d0f6f2caec08544b7136c009d41890ea7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IPLUARUMOFVYYOL6H6SGJB5UNH/bundle.json","state_url":"https://pith.science/pith/IPLUARUMOFVYYOL6H6SGJB5UNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IPLUARUMOFVYYOL6H6SGJB5UNH/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":"2026-08-08T09:30:19Z","links":{"resolver":"https://pith.science/pith/IPLUARUMOFVYYOL6H6SGJB5UNH","bundle":"https://pith.science/pith/IPLUARUMOFVYYOL6H6SGJB5UNH/bundle.json","state":"https://pith.science/pith/IPLUARUMOFVYYOL6H6SGJB5UNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IPLUARUMOFVYYOL6H6SGJB5UNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IPLUARUMOFVYYOL6H6SGJB5UNH","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":"66779b00bf5a7d974602e3502a1df7f90c4795a3d2d7f95d3346a662e60d7a04","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T12:05:22Z","title_canon_sha256":"24e6f2952dcd7c847e47ce94aa66b8d167fdb7cb214d455f16f2b3bdd4fcebd9"},"schema_version":"1.0","source":{"id":"2411.14882","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14882","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14882v2","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14882","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"IPLUARUMOFVY","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"pith_short_16","alias_value":"IPLUARUMOFVYYOL6","created_at":"2026-07-05T09:40:21Z"},{"alias_kind":"pith_short_8","alias_value":"IPLUARUM","created_at":"2026-07-05T09:40:21Z"}],"graph_snapshots":[{"event_id":"sha256:6606c43a5e2add44ebc8b0010c00a5d0f6f2caec08544b7136c009d41890ea7d","target":"graph","created_at":"2026-07-05T09:40:21Z","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/2411.14882/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Jiang--Jiang (J. Differential Equations 282, 2021) showed the existence of unique strong solutions in spatial periodic domain (denoted by $\\mathbb{T}^3$), whenever the elasticity coefficient is larger than the initial velocity perturbation of the rest state. Motivated by Jiang--Jiang's result, we revisit the Cauchy problem of the compressible viscoelastic fluids in Lagrangian coordinates. Employing an energy method with temporal weights and an additional asymptotic stability condition of initial density in Lagrangian coordinates, we extend the Jiang--Jiang's result with exponential d","authors_text":"Fei Jiang, Shengbin Fu, Wenting Huang","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T12:05:22Z","title":"On Temporal Decay of Compressible Hookean Viscoelastic Fluids with Relatively Large Elasticity Coefficient"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14882","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":"sha256:25e92837daf5aec2b51427cffed47080f7346da15a03ab06b8be90f683a31253","target":"record","created_at":"2026-07-05T09:40:21Z","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":"66779b00bf5a7d974602e3502a1df7f90c4795a3d2d7f95d3346a662e60d7a04","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T12:05:22Z","title_canon_sha256":"24e6f2952dcd7c847e47ce94aa66b8d167fdb7cb214d455f16f2b3bdd4fcebd9"},"schema_version":"1.0","source":{"id":"2411.14882","kind":"arxiv","version":2}},"canonical_sha256":"43d740468c716b8c397e3fa46487b469ff9182c50fc65b8a1fb6d12f6aa55f46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43d740468c716b8c397e3fa46487b469ff9182c50fc65b8a1fb6d12f6aa55f46","first_computed_at":"2026-07-05T09:40:21.618827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:40:21.618827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mGhTDxiecdQpuaceCfCWovzN9n/ffZO0eB6aBBRex7P6AJ24CiLAp7tyKf+pACQ+p1DPlQPZZCwBkN/uPg9JBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:40:21.619336Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14882","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25e92837daf5aec2b51427cffed47080f7346da15a03ab06b8be90f683a31253","sha256:6606c43a5e2add44ebc8b0010c00a5d0f6f2caec08544b7136c009d41890ea7d"],"state_sha256":"c64a22ecb6a3d464602472c60a05b79ec69c378d8486d72e736a503a3558b2d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2H1wziu3baPCodFtbumxlv8FbmoxmVsBMYXvZNFoyFkKtylR/9f1g6z1DRFoUbvhLD50CXjvNVKLjyAyis8tBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:30:19.613357Z","bundle_sha256":"4534ef84dba098ebcb3ef34e11715ef55da2350ab17cc90f8efec582e758765a"}}