{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QMI77KWZAI4OVW2RGYOTMKLWUQ","short_pith_number":"pith:QMI77KWZ","canonical_record":{"source":{"id":"1712.05998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-16T18:05:31Z","cross_cats_sorted":[],"title_canon_sha256":"24ac4e9250f1e232e5455d1582a9caa4d8668f67d47a914c1e1b30e8a51d5903","abstract_canon_sha256":"b0ba7169fec3ae04a755565bf23837867008adba4416693008d65f29ff7cb562"},"schema_version":"1.0"},"canonical_sha256":"8311ffaad90238eadb51361d362976a415bb2eabbf6fab7ce2d123c221668769","source":{"kind":"arxiv","id":"1712.05998","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05998","created_at":"2026-05-18T00:03:49Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05998v2","created_at":"2026-05-18T00:03:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05998","created_at":"2026-05-18T00:03:49Z"},{"alias_kind":"pith_short_12","alias_value":"QMI77KWZAI4O","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QMI77KWZAI4OVW2R","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QMI77KWZ","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QMI77KWZAI4OVW2RGYOTMKLWUQ","target":"record","payload":{"canonical_record":{"source":{"id":"1712.05998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-16T18:05:31Z","cross_cats_sorted":[],"title_canon_sha256":"24ac4e9250f1e232e5455d1582a9caa4d8668f67d47a914c1e1b30e8a51d5903","abstract_canon_sha256":"b0ba7169fec3ae04a755565bf23837867008adba4416693008d65f29ff7cb562"},"schema_version":"1.0"},"canonical_sha256":"8311ffaad90238eadb51361d362976a415bb2eabbf6fab7ce2d123c221668769","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:49.780380Z","signature_b64":"+HTzHOLxlm6mfD0EKzAEmb199QW2PrJWu9sVynz3j/FC5joKINvT6O1fITQbjPAYUE3vQTwbCnLux7rEngIyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8311ffaad90238eadb51361d362976a415bb2eabbf6fab7ce2d123c221668769","last_reissued_at":"2026-05-18T00:03:49.779814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:49.779814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.05998","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":"2026-05-18T00:03:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFKM/Qr5C69zecKf02pBeHy6DeKI7LJxLX1fP7C0UZ43heeRAK8Y8WQ+0DdDMQCnCh0LHDa4vZQOw77nXXjtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:32:00.173048Z"},"content_sha256":"3ec969783018828b498fdfd4ccc715d6cfa113e3fba5f2d0044df558bb70e031","schema_version":"1.0","event_id":"sha256:3ec969783018828b498fdfd4ccc715d6cfa113e3fba5f2d0044df558bb70e031"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QMI77KWZAI4OVW2RGYOTMKLWUQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francisco J. Su\\'arez-Grau, Mar\\'ia Anguiano","submitted_at":"2017-12-16T18:05:31Z","abstract_excerpt":"We consider the Stokes system in a thin porous medium $\\Omega_\\varepsilon$ of thickness $\\varepsilon$ which is perforated by periodically distributed solid cylinders of size $\\varepsilon$. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter $\\gamma$. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as $\\varepsilon$ goes to zero. Using an adaptation of the unfolding method, we give, following the values of $\\gamma$, different limit systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05998","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":""},"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":"2026-05-18T00:03:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DeALJuw7tlrgBzGkQgBdeQj8iHX+TnxZxWr36UXLr7GJbhwRM3e923oYFMB6xfHm832iRuThuuma4Wn8Q9E1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:32:00.173453Z"},"content_sha256":"9d0fcf2645b79ac52083d908800fe68c96bca21ce446b2437ddec0ed2591bb2b","schema_version":"1.0","event_id":"sha256:9d0fcf2645b79ac52083d908800fe68c96bca21ce446b2437ddec0ed2591bb2b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMI77KWZAI4OVW2RGYOTMKLWUQ/bundle.json","state_url":"https://pith.science/pith/QMI77KWZAI4OVW2RGYOTMKLWUQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMI77KWZAI4OVW2RGYOTMKLWUQ/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":"2026-06-10T22:32:00Z","links":{"resolver":"https://pith.science/pith/QMI77KWZAI4OVW2RGYOTMKLWUQ","bundle":"https://pith.science/pith/QMI77KWZAI4OVW2RGYOTMKLWUQ/bundle.json","state":"https://pith.science/pith/QMI77KWZAI4OVW2RGYOTMKLWUQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMI77KWZAI4OVW2RGYOTMKLWUQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QMI77KWZAI4OVW2RGYOTMKLWUQ","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":"b0ba7169fec3ae04a755565bf23837867008adba4416693008d65f29ff7cb562","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-16T18:05:31Z","title_canon_sha256":"24ac4e9250f1e232e5455d1582a9caa4d8668f67d47a914c1e1b30e8a51d5903"},"schema_version":"1.0","source":{"id":"1712.05998","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05998","created_at":"2026-05-18T00:03:49Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05998v2","created_at":"2026-05-18T00:03:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05998","created_at":"2026-05-18T00:03:49Z"},{"alias_kind":"pith_short_12","alias_value":"QMI77KWZAI4O","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QMI77KWZAI4OVW2R","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QMI77KWZ","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:9d0fcf2645b79ac52083d908800fe68c96bca21ce446b2437ddec0ed2591bb2b","target":"graph","created_at":"2026-05-18T00:03:49Z","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"},"paper":{"abstract_excerpt":"We consider the Stokes system in a thin porous medium $\\Omega_\\varepsilon$ of thickness $\\varepsilon$ which is perforated by periodically distributed solid cylinders of size $\\varepsilon$. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter $\\gamma$. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as $\\varepsilon$ goes to zero. Using an adaptation of the unfolding method, we give, following the values of $\\gamma$, different limit systems.","authors_text":"Francisco J. Su\\'arez-Grau, Mar\\'ia Anguiano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-16T18:05:31Z","title":"Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05998","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":"sha256:3ec969783018828b498fdfd4ccc715d6cfa113e3fba5f2d0044df558bb70e031","target":"record","created_at":"2026-05-18T00:03:49Z","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":"b0ba7169fec3ae04a755565bf23837867008adba4416693008d65f29ff7cb562","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-16T18:05:31Z","title_canon_sha256":"24ac4e9250f1e232e5455d1582a9caa4d8668f67d47a914c1e1b30e8a51d5903"},"schema_version":"1.0","source":{"id":"1712.05998","kind":"arxiv","version":2}},"canonical_sha256":"8311ffaad90238eadb51361d362976a415bb2eabbf6fab7ce2d123c221668769","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8311ffaad90238eadb51361d362976a415bb2eabbf6fab7ce2d123c221668769","first_computed_at":"2026-05-18T00:03:49.779814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:49.779814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+HTzHOLxlm6mfD0EKzAEmb199QW2PrJWu9sVynz3j/FC5joKINvT6O1fITQbjPAYUE3vQTwbCnLux7rEngIyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:49.780380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05998","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ec969783018828b498fdfd4ccc715d6cfa113e3fba5f2d0044df558bb70e031","sha256:9d0fcf2645b79ac52083d908800fe68c96bca21ce446b2437ddec0ed2591bb2b"],"state_sha256":"5a42fa66457a9a8dd830c5687eabb01beb1c8f7d99d35c9ad542bb1e5b252eb5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WDRSwRXBFfROVpJeg4JGKgMiICP4BFFbrIYk9RVI1EanPLkzHJBZ9WuawhZCH0MNYdyk7ENw9q3jCnYVCzqtAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:32:00.176565Z","bundle_sha256":"3b2a5da9097c2245e6c5273cc9f83fecd44fc2cf5b5738151cb084c8a11441c4"}}