{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:D5OQ6LV7YTGOPZC7TNCDSMVVPL","short_pith_number":"pith:D5OQ6LV7","canonical_record":{"source":{"id":"1802.09790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-02-27T09:40:03Z","cross_cats_sorted":[],"title_canon_sha256":"ff0dd3ad7d8d98faff1867864b70fa77ff49f5d6430ad9cc7c44f02990f90362","abstract_canon_sha256":"51cfbaed90eaa4e7b0c8e320694571fdac53bd676aac9ba715a1eb4a6abb55f9"},"schema_version":"1.0"},"canonical_sha256":"1f5d0f2ebfc4cce7e45f9b443932b57ad6a90ee3d5da3a9ed1bb921e7e167ffa","source":{"kind":"arxiv","id":"1802.09790","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09790","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09790v1","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09790","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"D5OQ6LV7YTGO","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D5OQ6LV7YTGOPZC7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D5OQ6LV7","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:D5OQ6LV7YTGOPZC7TNCDSMVVPL","target":"record","payload":{"canonical_record":{"source":{"id":"1802.09790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-02-27T09:40:03Z","cross_cats_sorted":[],"title_canon_sha256":"ff0dd3ad7d8d98faff1867864b70fa77ff49f5d6430ad9cc7c44f02990f90362","abstract_canon_sha256":"51cfbaed90eaa4e7b0c8e320694571fdac53bd676aac9ba715a1eb4a6abb55f9"},"schema_version":"1.0"},"canonical_sha256":"1f5d0f2ebfc4cce7e45f9b443932b57ad6a90ee3d5da3a9ed1bb921e7e167ffa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:22.189288Z","signature_b64":"PCAhaRDXm4h0+qzYkhMkl5SgjyiFds+gCmajzSpwq+46/6CIQ9+bV4ZgVqALNsXlzvffjLC2WHE5BbjTAwlxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f5d0f2ebfc4cce7e45f9b443932b57ad6a90ee3d5da3a9ed1bb921e7e167ffa","last_reissued_at":"2026-05-18T00:22:22.188662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:22.188662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.09790","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":"2026-05-18T00:22:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l3vTATAYtcLGuGrGVpeqGEHO52NXXRTQWjuAwJa1n17zXDXtf7YBddyLtXwKNEC2a8kFS8KXkHt8PAEG4UNFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:01:12.033238Z"},"content_sha256":"9b52e064355e18c09baa8fe2ddcebc2c266b1bef0a64aec9839ea3887ad16295","schema_version":"1.0","event_id":"sha256:9b52e064355e18c09baa8fe2ddcebc2c266b1bef0a64aec9839ea3887ad16295"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:D5OQ6LV7YTGOPZC7TNCDSMVVPL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying Acoustophoretic Separation of Microparticle Populations by Mean-and-Covariance Dynamics for Gaussians in Mixture Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.data-an","authors_text":"Fabio Garofalo","submitted_at":"2018-02-27T09:40:03Z","abstract_excerpt":"A method for the quantification of acoustophoretic separation and dispersion for microparticle populations featuring continuously distributed physical parameters is presented. The derivation of the method starts by (i)~considering the equation of motion for a particle ensemble in the coordinate+parameter space, (ii)~performing moment analysis on the transport equation for the probability density function (PDF), and (iii)~expanding up to the first-order the drift (and the diffusion coefficient) around the mean of the PDF. Following these steps, a system of ordinary differential equations for th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09790","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":""},"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":"2026-05-18T00:22:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zFbttfENCfrqIKFMkYBeuusqt2Z3Oc798G6aPV8mndsnajcsvxvncp9msHLyuzQSZUI5m0xj3kTT3kw8+aWiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:01:12.033608Z"},"content_sha256":"04ef17143a3003b3e2b48f57bfb9c0abfe078feef0ad9db44dbd658345714a38","schema_version":"1.0","event_id":"sha256:04ef17143a3003b3e2b48f57bfb9c0abfe078feef0ad9db44dbd658345714a38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5OQ6LV7YTGOPZC7TNCDSMVVPL/bundle.json","state_url":"https://pith.science/pith/D5OQ6LV7YTGOPZC7TNCDSMVVPL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5OQ6LV7YTGOPZC7TNCDSMVVPL/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":"2026-06-26T09:01:12Z","links":{"resolver":"https://pith.science/pith/D5OQ6LV7YTGOPZC7TNCDSMVVPL","bundle":"https://pith.science/pith/D5OQ6LV7YTGOPZC7TNCDSMVVPL/bundle.json","state":"https://pith.science/pith/D5OQ6LV7YTGOPZC7TNCDSMVVPL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5OQ6LV7YTGOPZC7TNCDSMVVPL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D5OQ6LV7YTGOPZC7TNCDSMVVPL","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":"51cfbaed90eaa4e7b0c8e320694571fdac53bd676aac9ba715a1eb4a6abb55f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-02-27T09:40:03Z","title_canon_sha256":"ff0dd3ad7d8d98faff1867864b70fa77ff49f5d6430ad9cc7c44f02990f90362"},"schema_version":"1.0","source":{"id":"1802.09790","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09790","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09790v1","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09790","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"D5OQ6LV7YTGO","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D5OQ6LV7YTGOPZC7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D5OQ6LV7","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:04ef17143a3003b3e2b48f57bfb9c0abfe078feef0ad9db44dbd658345714a38","target":"graph","created_at":"2026-05-18T00:22:22Z","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":"A method for the quantification of acoustophoretic separation and dispersion for microparticle populations featuring continuously distributed physical parameters is presented. The derivation of the method starts by (i)~considering the equation of motion for a particle ensemble in the coordinate+parameter space, (ii)~performing moment analysis on the transport equation for the probability density function (PDF), and (iii)~expanding up to the first-order the drift (and the diffusion coefficient) around the mean of the PDF. Following these steps, a system of ordinary differential equations for th","authors_text":"Fabio Garofalo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-02-27T09:40:03Z","title":"Quantifying Acoustophoretic Separation of Microparticle Populations by Mean-and-Covariance Dynamics for Gaussians in Mixture Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09790","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":"sha256:9b52e064355e18c09baa8fe2ddcebc2c266b1bef0a64aec9839ea3887ad16295","target":"record","created_at":"2026-05-18T00:22:22Z","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":"51cfbaed90eaa4e7b0c8e320694571fdac53bd676aac9ba715a1eb4a6abb55f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-02-27T09:40:03Z","title_canon_sha256":"ff0dd3ad7d8d98faff1867864b70fa77ff49f5d6430ad9cc7c44f02990f90362"},"schema_version":"1.0","source":{"id":"1802.09790","kind":"arxiv","version":1}},"canonical_sha256":"1f5d0f2ebfc4cce7e45f9b443932b57ad6a90ee3d5da3a9ed1bb921e7e167ffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f5d0f2ebfc4cce7e45f9b443932b57ad6a90ee3d5da3a9ed1bb921e7e167ffa","first_computed_at":"2026-05-18T00:22:22.188662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:22.188662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PCAhaRDXm4h0+qzYkhMkl5SgjyiFds+gCmajzSpwq+46/6CIQ9+bV4ZgVqALNsXlzvffjLC2WHE5BbjTAwlxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:22.189288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.09790","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b52e064355e18c09baa8fe2ddcebc2c266b1bef0a64aec9839ea3887ad16295","sha256:04ef17143a3003b3e2b48f57bfb9c0abfe078feef0ad9db44dbd658345714a38"],"state_sha256":"d519c611ea1b1e76f24b8740d56eafd57fcedd4587e87e7cbb4760b4512bd887"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OT2M4iRlZal32CWDF66WNWfrukX+Dpy6iLzdxV7E/AXYbT+Rfqz29kH4XXVdLXtcPYvKW/5KKxF4RTvAn2J6Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:01:12.035633Z","bundle_sha256":"7f3e109fe113e3543ab812329bb9f200329f1464b888a2210b7a5679165bee28"}}