{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZBSC2CBOK3WA5FIL23S4BH7MWZ","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":"f5913ef477a183b8bc6ec6e34ae9beca116151ebad843c2e4bcf16140d7f60e7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-07-24T12:29:21Z","title_canon_sha256":"bd729692390274494bf57df1a2d46bbd4ac033afe35b6568fe1e96865791ed2c"},"schema_version":"1.0","source":{"id":"2507.18359","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.18359","created_at":"2026-07-05T11:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"2507.18359v1","created_at":"2026-07-05T11:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.18359","created_at":"2026-07-05T11:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZBSC2CBOK3WA","created_at":"2026-07-05T11:42:46Z"},{"alias_kind":"pith_short_16","alias_value":"ZBSC2CBOK3WA5FIL","created_at":"2026-07-05T11:42:46Z"},{"alias_kind":"pith_short_8","alias_value":"ZBSC2CBO","created_at":"2026-07-05T11:42:46Z"}],"graph_snapshots":[{"event_id":"sha256:4c8d43628dc890be74c9eeca7917a2eed35052c9cceaec65b06341baded196f6","target":"graph","created_at":"2026-07-05T11:42:46Z","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/2507.18359/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The dynamical analysis of shear flows remains challenging, as turbulence generation and evolution are not fully understood. Here, a lesser-explored feature of incompressible shear flows-the absorbing zone-is investigated. This region in the infinite dimensional state space is shown to act as an attractor for all trajectories: any solution initialised outside eventually enters and remains inside. Consequently, the absorbing zone must contain all possible attractors, both chaotic and non-chaotic.\n  Existence is established through the Reynolds-Orr identity, which indicates that nonlinear terms d","authors_text":"P\\'eter Tam\\'as Nagy","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-07-24T12:29:21Z","title":"Variational determination of minimal absorbing zones in incompressible shear flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.18359","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:ff6665d975b5c89135fa98db8b033b82c3ed58bc71cc2a82901b98bede992b97","target":"record","created_at":"2026-07-05T11:42:46Z","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":"f5913ef477a183b8bc6ec6e34ae9beca116151ebad843c2e4bcf16140d7f60e7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-07-24T12:29:21Z","title_canon_sha256":"bd729692390274494bf57df1a2d46bbd4ac033afe35b6568fe1e96865791ed2c"},"schema_version":"1.0","source":{"id":"2507.18359","kind":"arxiv","version":1}},"canonical_sha256":"c8642d082e56ec0e950bd6e5c09fecb64f84c0ebd158ea8dbe6e1d367303e376","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8642d082e56ec0e950bd6e5c09fecb64f84c0ebd158ea8dbe6e1d367303e376","first_computed_at":"2026-07-05T11:42:46.712975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:42:46.712975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b85irnR/lVTL34CBY84jz/IS/uvs5Tm2tqQDxQQff72AdEb3r7qQ5N4DwAnlcAyL7ennlnf7Vt4yVKUOENBtCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:42:46.713418Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.18359","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff6665d975b5c89135fa98db8b033b82c3ed58bc71cc2a82901b98bede992b97","sha256:4c8d43628dc890be74c9eeca7917a2eed35052c9cceaec65b06341baded196f6"],"state_sha256":"13f09ef9718ded6ec0e184ad1d5634f49a2ab1bedf2ba7a947e71fd992c54d7f"}