{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:Q2LFVZIDPZ6JMOBGEZDEDRNN2T","short_pith_number":"pith:Q2LFVZID","canonical_record":{"source":{"id":"1702.02365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-08T10:50:37Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b3e91d8c414a6560ea426e011c134fb5fdabee28ab95d89a4a0df26c257d1514","abstract_canon_sha256":"fe225a8c44723da08419b3782ad2aa91d757faf3905fd09ac529100be498707f"},"schema_version":"1.0"},"canonical_sha256":"86965ae5037e7c963826264641c5add4dadedd8d1a6d3a41718a5c2e9a519a54","source":{"kind":"arxiv","id":"1702.02365","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02365","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02365v2","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02365","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"pith_short_12","alias_value":"Q2LFVZIDPZ6J","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q2LFVZIDPZ6JMOBG","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q2LFVZID","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:Q2LFVZIDPZ6JMOBGEZDEDRNN2T","target":"record","payload":{"canonical_record":{"source":{"id":"1702.02365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-08T10:50:37Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b3e91d8c414a6560ea426e011c134fb5fdabee28ab95d89a4a0df26c257d1514","abstract_canon_sha256":"fe225a8c44723da08419b3782ad2aa91d757faf3905fd09ac529100be498707f"},"schema_version":"1.0"},"canonical_sha256":"86965ae5037e7c963826264641c5add4dadedd8d1a6d3a41718a5c2e9a519a54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:12.394621Z","signature_b64":"GZq4ERFN+Dnu6pPdOCenkEMVyKBty6MSQLR4Imcp9ylUdYlRzpxA5iy9TwrFCdligGs4P1mYbJPcQHhRzLxPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86965ae5037e7c963826264641c5add4dadedd8d1a6d3a41718a5c2e9a519a54","last_reissued_at":"2026-05-18T00:42:12.394151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:12.394151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.02365","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":"2026-05-18T00:42:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ev54cLUmfOZHVlLfzdftizRxKA4h3upsfqFb7qO+0A4qRC6vj6431KXYq1F0ptGP8cGP/Y/Bd2Qk3d9ds5EcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:07:46.602277Z"},"content_sha256":"19932f49a6130e39b8c5928f02fdcce78baf7ce7bdc8d73ea83a49e8d0560451","schema_version":"1.0","event_id":"sha256:19932f49a6130e39b8c5928f02fdcce78baf7ce7bdc8d73ea83a49e8d0560451"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:Q2LFVZIDPZ6JMOBGEZDEDRNN2T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lagrangian Flow Network approach to an open flow model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Cristobal Lopez, Emilio Hernandez-Garcia, Enrico Ser-Giacomi, Victor Rodriguez-Mendez","submitted_at":"2017-02-08T10:50:37Z","abstract_excerpt":"Concepts and tools from network theory, the so-called Lagrangian Flow Network framework, have been successfully used to obtain a coarse-grained description of transport by closed fluid flows. Here we explore the application of this methodology to open chaotic flows, and check it with numerical results for a model open flow, namely a jet with a localized wave perturbation. We find that network nodes with high values of out-degree and of finite-time entropy in the forward-in-time direction identify the location of the chaotic saddle and its stable manifold, whereas nodes with high in-degree and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02365","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":"2026-05-18T00:42:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vjmCIOMKX3j4TT366J4BzcNBF3PR9KbSL2vpeWcoBM6skIduzwi7e0f7wLiTOmgERiLWOdl+tYxjQNY8IgOwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:07:46.602693Z"},"content_sha256":"ea9040ce8e4ee1059246f307e563bc69fffff79a54b1c77bcf4dbb7dce782d25","schema_version":"1.0","event_id":"sha256:ea9040ce8e4ee1059246f307e563bc69fffff79a54b1c77bcf4dbb7dce782d25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q2LFVZIDPZ6JMOBGEZDEDRNN2T/bundle.json","state_url":"https://pith.science/pith/Q2LFVZIDPZ6JMOBGEZDEDRNN2T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q2LFVZIDPZ6JMOBGEZDEDRNN2T/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":"2026-05-27T09:07:46Z","links":{"resolver":"https://pith.science/pith/Q2LFVZIDPZ6JMOBGEZDEDRNN2T","bundle":"https://pith.science/pith/Q2LFVZIDPZ6JMOBGEZDEDRNN2T/bundle.json","state":"https://pith.science/pith/Q2LFVZIDPZ6JMOBGEZDEDRNN2T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q2LFVZIDPZ6JMOBGEZDEDRNN2T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Q2LFVZIDPZ6JMOBGEZDEDRNN2T","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":"fe225a8c44723da08419b3782ad2aa91d757faf3905fd09ac529100be498707f","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-08T10:50:37Z","title_canon_sha256":"b3e91d8c414a6560ea426e011c134fb5fdabee28ab95d89a4a0df26c257d1514"},"schema_version":"1.0","source":{"id":"1702.02365","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02365","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02365v2","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02365","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"pith_short_12","alias_value":"Q2LFVZIDPZ6J","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q2LFVZIDPZ6JMOBG","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q2LFVZID","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:ea9040ce8e4ee1059246f307e563bc69fffff79a54b1c77bcf4dbb7dce782d25","target":"graph","created_at":"2026-05-18T00:42:12Z","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":"Concepts and tools from network theory, the so-called Lagrangian Flow Network framework, have been successfully used to obtain a coarse-grained description of transport by closed fluid flows. Here we explore the application of this methodology to open chaotic flows, and check it with numerical results for a model open flow, namely a jet with a localized wave perturbation. We find that network nodes with high values of out-degree and of finite-time entropy in the forward-in-time direction identify the location of the chaotic saddle and its stable manifold, whereas nodes with high in-degree and ","authors_text":"Cristobal Lopez, Emilio Hernandez-Garcia, Enrico Ser-Giacomi, Victor Rodriguez-Mendez","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-08T10:50:37Z","title":"Lagrangian Flow Network approach to an open flow model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02365","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":"sha256:19932f49a6130e39b8c5928f02fdcce78baf7ce7bdc8d73ea83a49e8d0560451","target":"record","created_at":"2026-05-18T00:42:12Z","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":"fe225a8c44723da08419b3782ad2aa91d757faf3905fd09ac529100be498707f","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-08T10:50:37Z","title_canon_sha256":"b3e91d8c414a6560ea426e011c134fb5fdabee28ab95d89a4a0df26c257d1514"},"schema_version":"1.0","source":{"id":"1702.02365","kind":"arxiv","version":2}},"canonical_sha256":"86965ae5037e7c963826264641c5add4dadedd8d1a6d3a41718a5c2e9a519a54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86965ae5037e7c963826264641c5add4dadedd8d1a6d3a41718a5c2e9a519a54","first_computed_at":"2026-05-18T00:42:12.394151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:12.394151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GZq4ERFN+Dnu6pPdOCenkEMVyKBty6MSQLR4Imcp9ylUdYlRzpxA5iy9TwrFCdligGs4P1mYbJPcQHhRzLxPAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:12.394621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02365","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19932f49a6130e39b8c5928f02fdcce78baf7ce7bdc8d73ea83a49e8d0560451","sha256:ea9040ce8e4ee1059246f307e563bc69fffff79a54b1c77bcf4dbb7dce782d25"],"state_sha256":"55a763e8168c2db371b68afdf12db7d17e29b38f74c772506335d08456f6f2ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r21B5vMpLBZwZEI2dtd70LU+x8STIsntBWxG5xhRAzy4eM6TIdOCcx24s7ufREF6+KdTT+TEYISFTJVqL1rnBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:07:46.607329Z","bundle_sha256":"7e086d4e1dc0513dfd9750292e60b9989b00693361dcdf31e31ad5d172da9d6d"}}