{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:BD7AFM3MQWD6OTASXUTTLDJP4G","short_pith_number":"pith:BD7AFM3M","canonical_record":{"source":{"id":"1003.3842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-03-19T17:03:53Z","cross_cats_sorted":[],"title_canon_sha256":"b8d49060cacaac11ba9595ab269dcb38c2759a3cc6c720f36fdaf018ea423da0","abstract_canon_sha256":"172bba992300a2e28766eb0a03e942db191e21a27e428ba2645246ac3c2fad32"},"schema_version":"1.0"},"canonical_sha256":"08fe02b36c8587e74c12bd27358d2fe18882e0b5f7259fd5a288c3ca2394f1a4","source":{"kind":"arxiv","id":"1003.3842","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3842","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3842v1","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3842","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"BD7AFM3MQWD6","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BD7AFM3MQWD6OTAS","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BD7AFM3M","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:BD7AFM3MQWD6OTASXUTTLDJP4G","target":"record","payload":{"canonical_record":{"source":{"id":"1003.3842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-03-19T17:03:53Z","cross_cats_sorted":[],"title_canon_sha256":"b8d49060cacaac11ba9595ab269dcb38c2759a3cc6c720f36fdaf018ea423da0","abstract_canon_sha256":"172bba992300a2e28766eb0a03e942db191e21a27e428ba2645246ac3c2fad32"},"schema_version":"1.0"},"canonical_sha256":"08fe02b36c8587e74c12bd27358d2fe18882e0b5f7259fd5a288c3ca2394f1a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:25.205597Z","signature_b64":"vuk74T6maOg+0p/xnrj6IS8pNGoIyWBp3RFFcpdHWD5StwvwPTRC13RSKzlmHU9owe5DRz8AiiSvhJFfEtMeBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08fe02b36c8587e74c12bd27358d2fe18882e0b5f7259fd5a288c3ca2394f1a4","last_reissued_at":"2026-05-18T02:08:25.204838Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:25.204838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.3842","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":"2026-05-18T02:08:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"auALBDqZZR2ibfC6Rg3a1COlWJ8jx1+gyYF85EW9rxuge7Ml7jeruR0/TGT5r1ga9AAiZrR4A7l9BYNZDBkxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:59:31.607830Z"},"content_sha256":"6dbb030f5687d0258287cebd18e65b7d498cc22ceb160e08093128083a7480c9","schema_version":"1.0","event_id":"sha256:6dbb030f5687d0258287cebd18e65b7d498cc22ceb160e08093128083a7480c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:BD7AFM3MQWD6OTASXUTTLDJP4G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dust trapping in inviscid vortex pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jean-Regis Angilella","submitted_at":"2010-03-19T17:03:53Z","abstract_excerpt":"The motion of tiny heavy particles transported in a co-rotating vortex pair, with or without particle inertia and sedimentation, is investigated. The dynamics of non-inertial sedimenting particles is shown to be chaotic, under the combined effect of gravity and of the circular displacement of the vortices. This phenomenon is very sensitive to  particle inertia, if any. By using nearly hamiltonian dynamical system theory for the particle motion equation written in the rotating reference frame, one can show that small inertia terms of the particle motion equation strongly modify the Melnikov fun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3842","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":"2026-05-18T02:08:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/X5XeMbbQ1MtZ/dgQgEWmHbEjHlAcdtIzBfAcc5dwMaka7qOn/HzgZJ4nsveBxwEMQM2nRRtiP25fUQuYtdyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:59:31.608198Z"},"content_sha256":"71bcb28f4cbc8b58bcf796637f1342c460ffe6d39ea8408ef0339ff0405d075d","schema_version":"1.0","event_id":"sha256:71bcb28f4cbc8b58bcf796637f1342c460ffe6d39ea8408ef0339ff0405d075d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BD7AFM3MQWD6OTASXUTTLDJP4G/bundle.json","state_url":"https://pith.science/pith/BD7AFM3MQWD6OTASXUTTLDJP4G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BD7AFM3MQWD6OTASXUTTLDJP4G/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":"2026-06-23T13:59:31Z","links":{"resolver":"https://pith.science/pith/BD7AFM3MQWD6OTASXUTTLDJP4G","bundle":"https://pith.science/pith/BD7AFM3MQWD6OTASXUTTLDJP4G/bundle.json","state":"https://pith.science/pith/BD7AFM3MQWD6OTASXUTTLDJP4G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BD7AFM3MQWD6OTASXUTTLDJP4G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BD7AFM3MQWD6OTASXUTTLDJP4G","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":"172bba992300a2e28766eb0a03e942db191e21a27e428ba2645246ac3c2fad32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-03-19T17:03:53Z","title_canon_sha256":"b8d49060cacaac11ba9595ab269dcb38c2759a3cc6c720f36fdaf018ea423da0"},"schema_version":"1.0","source":{"id":"1003.3842","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3842","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3842v1","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3842","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"BD7AFM3MQWD6","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BD7AFM3MQWD6OTAS","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BD7AFM3M","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:71bcb28f4cbc8b58bcf796637f1342c460ffe6d39ea8408ef0339ff0405d075d","target":"graph","created_at":"2026-05-18T02:08:25Z","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":"The motion of tiny heavy particles transported in a co-rotating vortex pair, with or without particle inertia and sedimentation, is investigated. The dynamics of non-inertial sedimenting particles is shown to be chaotic, under the combined effect of gravity and of the circular displacement of the vortices. This phenomenon is very sensitive to  particle inertia, if any. By using nearly hamiltonian dynamical system theory for the particle motion equation written in the rotating reference frame, one can show that small inertia terms of the particle motion equation strongly modify the Melnikov fun","authors_text":"Jean-Regis Angilella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-03-19T17:03:53Z","title":"Dust trapping in inviscid vortex pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3842","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":"sha256:6dbb030f5687d0258287cebd18e65b7d498cc22ceb160e08093128083a7480c9","target":"record","created_at":"2026-05-18T02:08:25Z","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":"172bba992300a2e28766eb0a03e942db191e21a27e428ba2645246ac3c2fad32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-03-19T17:03:53Z","title_canon_sha256":"b8d49060cacaac11ba9595ab269dcb38c2759a3cc6c720f36fdaf018ea423da0"},"schema_version":"1.0","source":{"id":"1003.3842","kind":"arxiv","version":1}},"canonical_sha256":"08fe02b36c8587e74c12bd27358d2fe18882e0b5f7259fd5a288c3ca2394f1a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08fe02b36c8587e74c12bd27358d2fe18882e0b5f7259fd5a288c3ca2394f1a4","first_computed_at":"2026-05-18T02:08:25.204838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:25.204838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vuk74T6maOg+0p/xnrj6IS8pNGoIyWBp3RFFcpdHWD5StwvwPTRC13RSKzlmHU9owe5DRz8AiiSvhJFfEtMeBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:25.205597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.3842","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dbb030f5687d0258287cebd18e65b7d498cc22ceb160e08093128083a7480c9","sha256:71bcb28f4cbc8b58bcf796637f1342c460ffe6d39ea8408ef0339ff0405d075d"],"state_sha256":"5cadd92e00d96d5b721dcb881d77b14a297ddedaea8fa721f0b5739037d3e1b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LkFVKt4iAjswNUSrelODMpvbxNZAfAylVn/+zG1n7zmuT3xgA0luFMQW5lTPlg79eHMl+I3kuvBDaoCayJs8CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:59:31.610218Z","bundle_sha256":"090211521c559d94082761cd757b823a08d5809a0fefd11069f1d7e0d1a452f9"}}