{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:T5RODZPIZ6WE3IGBQTQSCX6XWK","short_pith_number":"pith:T5RODZPI","canonical_record":{"source":{"id":"2605.16173","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-15T16:51:15Z","cross_cats_sorted":[],"title_canon_sha256":"52d2d38e0f16330523f0e3696275c0c569d400ceb60489ee38d62ee0373367f9","abstract_canon_sha256":"37e43704fb96a020c65f243b38fe6afd4f309a9d5bc89433cbf2fac0e800a99f"},"schema_version":"1.0"},"canonical_sha256":"9f62e1e5e8cfac4da0c184e1215fd7b2aae687d07178501478e11e6444fc915c","source":{"kind":"arxiv","id":"2605.16173","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.16173","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"2605.16173v1","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.16173","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"T5RODZPIZ6WE","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"T5RODZPIZ6WE3IGB","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"T5RODZPI","created_at":"2026-05-20T00:01:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:T5RODZPIZ6WE3IGBQTQSCX6XWK","target":"record","payload":{"canonical_record":{"source":{"id":"2605.16173","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-15T16:51:15Z","cross_cats_sorted":[],"title_canon_sha256":"52d2d38e0f16330523f0e3696275c0c569d400ceb60489ee38d62ee0373367f9","abstract_canon_sha256":"37e43704fb96a020c65f243b38fe6afd4f309a9d5bc89433cbf2fac0e800a99f"},"schema_version":"1.0"},"canonical_sha256":"9f62e1e5e8cfac4da0c184e1215fd7b2aae687d07178501478e11e6444fc915c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:01:56.106068Z","signature_b64":"DGy0PuELiBHxeq8knwNU7kYFmDJ4tmHMiY+5fXyYICTvr/UMLxaxKm+UXJOgEWLJ3zJIqUFFqX3tf3exLv+dAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f62e1e5e8cfac4da0c184e1215fd7b2aae687d07178501478e11e6444fc915c","last_reissued_at":"2026-05-20T00:01:56.105397Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:01:56.105397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.16173","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":"2026-05-20T00:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"95NtgfFIiWQ/gib3cEOFPm/iswcjg3KVeato+ONh1NVY9hKgp9adI4K+8aE4/NAQSSS0P0A6h+bTnZdcgtiZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:44:56.522540Z"},"content_sha256":"81baf6c38770290ee9cf0bf8de4f5b2e7b749427a3d575cddd5bba9ad71a164e","schema_version":"1.0","event_id":"sha256:81baf6c38770290ee9cf0bf8de4f5b2e7b749427a3d575cddd5bba9ad71a164e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:T5RODZPIZ6WE3IGBQTQSCX6XWK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Adriana Valentina Busuioc, Cilon F. Perusato, Dragos Iftimie, Lorenzo Brandolese","submitted_at":"2026-05-15T16:51:15Z","abstract_excerpt":"We investigate the role of the four viscosity parameters, in fluids where the particles possess a microstructure (micropolar flows) and are allowed to rotate in a two-dimensional setting. We first establish the existence of global finite energy solutions, satisfying the classical energy equality, for arbitrary initial data in $L^2$, in the case of a spin viscosity $\\gamma\\ge0$, and we construct the asymptotic profiles of the solution as $t\\to+\\infty$. We deduce the remarkable fact that the large time behavior only depends on the kinematic viscosity $\\mu$, and not on the other parameters $\\chi$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.16173","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/2605.16173/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T17:52:14.484828Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:31.027695Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"external_links","ran_at":"2026-05-19T17:31:45.379423Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T16:41:55.426657Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"06c2913d84690b92e064a4e66109a6942bf62901edf726c7ec79b5a9465a2d39"},"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":"2026-05-20T00:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0GN1iLNddhKQaoOCnI8ByPs8PMnMxflRmQQJmnl/l6xSc+9hEh2Eap/L3pdn9ZHBDlCfyeSZHMvIcMbLVxmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:44:56.523015Z"},"content_sha256":"8dd8f5b83d5c032222ad6183bc58175e4387fe3646d29b5f378671faf433e305","schema_version":"1.0","event_id":"sha256:8dd8f5b83d5c032222ad6183bc58175e4387fe3646d29b5f378671faf433e305"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T5RODZPIZ6WE3IGBQTQSCX6XWK/bundle.json","state_url":"https://pith.science/pith/T5RODZPIZ6WE3IGBQTQSCX6XWK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T5RODZPIZ6WE3IGBQTQSCX6XWK/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":"2026-06-05T10:44:56Z","links":{"resolver":"https://pith.science/pith/T5RODZPIZ6WE3IGBQTQSCX6XWK","bundle":"https://pith.science/pith/T5RODZPIZ6WE3IGBQTQSCX6XWK/bundle.json","state":"https://pith.science/pith/T5RODZPIZ6WE3IGBQTQSCX6XWK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T5RODZPIZ6WE3IGBQTQSCX6XWK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:T5RODZPIZ6WE3IGBQTQSCX6XWK","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":"37e43704fb96a020c65f243b38fe6afd4f309a9d5bc89433cbf2fac0e800a99f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-15T16:51:15Z","title_canon_sha256":"52d2d38e0f16330523f0e3696275c0c569d400ceb60489ee38d62ee0373367f9"},"schema_version":"1.0","source":{"id":"2605.16173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.16173","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"2605.16173v1","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.16173","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"T5RODZPIZ6WE","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"T5RODZPIZ6WE3IGB","created_at":"2026-05-20T00:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"T5RODZPI","created_at":"2026-05-20T00:01:56Z"}],"graph_snapshots":[{"event_id":"sha256:8dd8f5b83d5c032222ad6183bc58175e4387fe3646d29b5f378671faf433e305","target":"graph","created_at":"2026-05-20T00:01:56Z","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":[{"findings_count":0,"name":"cited_work_retraction","ran_at":"2026-05-19T17:52:14.484828Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:31.027695Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"external_links","ran_at":"2026-05-19T17:31:45.379423Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T16:41:55.426657Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.16173/integrity.json","findings":[],"snapshot_sha256":"06c2913d84690b92e064a4e66109a6942bf62901edf726c7ec79b5a9465a2d39","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the role of the four viscosity parameters, in fluids where the particles possess a microstructure (micropolar flows) and are allowed to rotate in a two-dimensional setting. We first establish the existence of global finite energy solutions, satisfying the classical energy equality, for arbitrary initial data in $L^2$, in the case of a spin viscosity $\\gamma\\ge0$, and we construct the asymptotic profiles of the solution as $t\\to+\\infty$. We deduce the remarkable fact that the large time behavior only depends on the kinematic viscosity $\\mu$, and not on the other parameters $\\chi$","authors_text":"Adriana Valentina Busuioc, Cilon F. Perusato, Dragos Iftimie, Lorenzo Brandolese","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-15T16:51:15Z","title":"On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.16173","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":"sha256:81baf6c38770290ee9cf0bf8de4f5b2e7b749427a3d575cddd5bba9ad71a164e","target":"record","created_at":"2026-05-20T00:01:56Z","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":"37e43704fb96a020c65f243b38fe6afd4f309a9d5bc89433cbf2fac0e800a99f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-15T16:51:15Z","title_canon_sha256":"52d2d38e0f16330523f0e3696275c0c569d400ceb60489ee38d62ee0373367f9"},"schema_version":"1.0","source":{"id":"2605.16173","kind":"arxiv","version":1}},"canonical_sha256":"9f62e1e5e8cfac4da0c184e1215fd7b2aae687d07178501478e11e6444fc915c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f62e1e5e8cfac4da0c184e1215fd7b2aae687d07178501478e11e6444fc915c","first_computed_at":"2026-05-20T00:01:56.105397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:56.105397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DGy0PuELiBHxeq8knwNU7kYFmDJ4tmHMiY+5fXyYICTvr/UMLxaxKm+UXJOgEWLJ3zJIqUFFqX3tf3exLv+dAg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:56.106068Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81baf6c38770290ee9cf0bf8de4f5b2e7b749427a3d575cddd5bba9ad71a164e","sha256:8dd8f5b83d5c032222ad6183bc58175e4387fe3646d29b5f378671faf433e305"],"state_sha256":"6b2ced90111e728fe82340f3cb5709a8348b7233862924c3ee4e0b327200db00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gx5FTG4BpWMtizJ1yNqkIkn3c2N5ARL4TjjfFgnm49PueXW+S+exIBBODi5R/BSYwKnYvZWaZ8lo7pjJOy3eBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:44:56.525303Z","bundle_sha256":"f057068d2227847d50efd78f78051231af8ada19ccebfc0480e1cad56708510e"}}