{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5MHKZCQSMBKVKIVPP6LDZH4YU4","short_pith_number":"pith:5MHKZCQS","canonical_record":{"source":{"id":"1307.3479","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-07-12T14:59:21Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"1b71ebb710fce8d9856252b52bab4ba2b7224da6dc6bb9249cda2f60027be422","abstract_canon_sha256":"da34b7b29c2111ffa877703a2a6be0f8f37c71c09852e6a10603907c4fb0258b"},"schema_version":"1.0"},"canonical_sha256":"eb0eac8a1260555522af7f963c9f98a72f6782a2a7fb27c8c35e536cea279fc8","source":{"kind":"arxiv","id":"1307.3479","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3479","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3479v2","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3479","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"5MHKZCQSMBKV","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"pith_short_16","alias_value":"5MHKZCQSMBKVKIVP","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"pith_short_8","alias_value":"5MHKZCQS","created_at":"2026-07-05T02:09:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5MHKZCQSMBKVKIVPP6LDZH4YU4","target":"record","payload":{"canonical_record":{"source":{"id":"1307.3479","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-07-12T14:59:21Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"1b71ebb710fce8d9856252b52bab4ba2b7224da6dc6bb9249cda2f60027be422","abstract_canon_sha256":"da34b7b29c2111ffa877703a2a6be0f8f37c71c09852e6a10603907c4fb0258b"},"schema_version":"1.0"},"canonical_sha256":"eb0eac8a1260555522af7f963c9f98a72f6782a2a7fb27c8c35e536cea279fc8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:09:32.320161Z","signature_b64":"9MLCwSK4PzeaLhestXQsQeWaXph/dgE/OQxiRwj/h0/p/ofIWYhsHSyGCze3Bgs6eUTb9V0bZnKcbK+bi/TBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb0eac8a1260555522af7f963c9f98a72f6782a2a7fb27c8c35e536cea279fc8","last_reissued_at":"2026-07-05T02:09:32.319753Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:09:32.319753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.3479","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":"2026-07-05T02:09:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4B2Yo7PBWdmAwDK9KjiSs6CKdEf/dGX4GAWuW2uuIkG2RSo+1rNlg+lYLaZgdfg3y2ktTzLq9IjzzeQVfzQ1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:54:40.556405Z"},"content_sha256":"00cea3e546c51592220c33a86180bd2d4b8f103817f6c426745deb8d32a885a2","schema_version":"1.0","event_id":"sha256:00cea3e546c51592220c33a86180bd2d4b8f103817f6c426745deb8d32a885a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5MHKZCQSMBKVKIVPP6LDZH4YU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Attracting fixed points for heavy particles in the vicinity of a vortex pair","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Prasad Perlekar, Rama Govindarajan, S. Ravichandran","submitted_at":"2013-07-12T14:59:21Z","abstract_excerpt":"We study the behaviour of heavy inertial particles in the flow field of two like-signed vortices. In a frame co-rotating with the two vortices, we find that stable fixed points exist for these heavy inertial particles; these stable frame-fixed points exist only for particle Stokes number $St<St_{cr}$. We estimate $St_{cr}$ and compare this with direct numerical simulations, and find that the addition of viscosity increases the $St_{cr}$ slightly. We also find that the fixed points become more stable with increasing $St$ until they abruptly disappear at $St=St_{cr}$. These frame-fixed points ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3479","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/1307.3479/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":"2026-07-05T02:09:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25QPeTnoAneVFK4Nd24wP7NsLPKqahZP1oRZy0goI8Yv63Xnmf357CcNQV5xjwcke1E5IIkJAewqdNpwGOLyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:54:40.557478Z"},"content_sha256":"c27e9e77ed90114aa894f15810586aec743ff1e6d93793d291d33ed77b1020e7","schema_version":"1.0","event_id":"sha256:c27e9e77ed90114aa894f15810586aec743ff1e6d93793d291d33ed77b1020e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MHKZCQSMBKVKIVPP6LDZH4YU4/bundle.json","state_url":"https://pith.science/pith/5MHKZCQSMBKVKIVPP6LDZH4YU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MHKZCQSMBKVKIVPP6LDZH4YU4/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":"2026-08-04T04:54:40Z","links":{"resolver":"https://pith.science/pith/5MHKZCQSMBKVKIVPP6LDZH4YU4","bundle":"https://pith.science/pith/5MHKZCQSMBKVKIVPP6LDZH4YU4/bundle.json","state":"https://pith.science/pith/5MHKZCQSMBKVKIVPP6LDZH4YU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MHKZCQSMBKVKIVPP6LDZH4YU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5MHKZCQSMBKVKIVPP6LDZH4YU4","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":"da34b7b29c2111ffa877703a2a6be0f8f37c71c09852e6a10603907c4fb0258b","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-07-12T14:59:21Z","title_canon_sha256":"1b71ebb710fce8d9856252b52bab4ba2b7224da6dc6bb9249cda2f60027be422"},"schema_version":"1.0","source":{"id":"1307.3479","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3479","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3479v2","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3479","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"5MHKZCQSMBKV","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"pith_short_16","alias_value":"5MHKZCQSMBKVKIVP","created_at":"2026-07-05T02:09:32Z"},{"alias_kind":"pith_short_8","alias_value":"5MHKZCQS","created_at":"2026-07-05T02:09:32Z"}],"graph_snapshots":[{"event_id":"sha256:c27e9e77ed90114aa894f15810586aec743ff1e6d93793d291d33ed77b1020e7","target":"graph","created_at":"2026-07-05T02:09:32Z","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/1307.3479/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the behaviour of heavy inertial particles in the flow field of two like-signed vortices. In a frame co-rotating with the two vortices, we find that stable fixed points exist for these heavy inertial particles; these stable frame-fixed points exist only for particle Stokes number $St<St_{cr}$. We estimate $St_{cr}$ and compare this with direct numerical simulations, and find that the addition of viscosity increases the $St_{cr}$ slightly. We also find that the fixed points become more stable with increasing $St$ until they abruptly disappear at $St=St_{cr}$. These frame-fixed points ar","authors_text":"Prasad Perlekar, Rama Govindarajan, S. Ravichandran","cross_cats":["nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-07-12T14:59:21Z","title":"Attracting fixed points for heavy particles in the vicinity of a vortex pair"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3479","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":"sha256:00cea3e546c51592220c33a86180bd2d4b8f103817f6c426745deb8d32a885a2","target":"record","created_at":"2026-07-05T02:09:32Z","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":"da34b7b29c2111ffa877703a2a6be0f8f37c71c09852e6a10603907c4fb0258b","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-07-12T14:59:21Z","title_canon_sha256":"1b71ebb710fce8d9856252b52bab4ba2b7224da6dc6bb9249cda2f60027be422"},"schema_version":"1.0","source":{"id":"1307.3479","kind":"arxiv","version":2}},"canonical_sha256":"eb0eac8a1260555522af7f963c9f98a72f6782a2a7fb27c8c35e536cea279fc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb0eac8a1260555522af7f963c9f98a72f6782a2a7fb27c8c35e536cea279fc8","first_computed_at":"2026-07-05T02:09:32.319753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:09:32.319753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9MLCwSK4PzeaLhestXQsQeWaXph/dgE/OQxiRwj/h0/p/ofIWYhsHSyGCze3Bgs6eUTb9V0bZnKcbK+bi/TBAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:09:32.320161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3479","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00cea3e546c51592220c33a86180bd2d4b8f103817f6c426745deb8d32a885a2","sha256:c27e9e77ed90114aa894f15810586aec743ff1e6d93793d291d33ed77b1020e7"],"state_sha256":"216deed54680e85ef5df5a364a896fc8a2bbabbfc08abc21cdae76c8c593bc20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5FLZhemoWzra1OU4ojwQRSP5HWVUD1DYbdktkt/0RxwCXgBKWwRJ87ceOvMwCRfUa/6my7fS1HJR5l5NuOgaAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T04:54:40.564742Z","bundle_sha256":"36aa6943eaee8f82ebeaea47c5edef54e34b8b7b17b860ed3aff3c25506ab25f"}}