{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WNMW6QP5CY64PO7WN2SSEWZUM2","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":"721db69fe89a1435a9d94d734aff5f2a65dc4b12b0c235e050a277f427d9ec77","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T21:42:21Z","title_canon_sha256":"fd123b87247c1863ba94927c805a4cbde2d8980fde1dfe9fc90a178e0f43b1b4"},"schema_version":"1.0","source":{"id":"2607.07943","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07943","created_at":"2026-07-10T00:19:05Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07943v1","created_at":"2026-07-10T00:19:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07943","created_at":"2026-07-10T00:19:05Z"},{"alias_kind":"pith_short_12","alias_value":"WNMW6QP5CY64","created_at":"2026-07-10T00:19:05Z"},{"alias_kind":"pith_short_16","alias_value":"WNMW6QP5CY64PO7W","created_at":"2026-07-10T00:19:05Z"},{"alias_kind":"pith_short_8","alias_value":"WNMW6QP5","created_at":"2026-07-10T00:19:05Z"}],"graph_snapshots":[{"event_id":"sha256:8f15b97095d339e4f267fc027b2baafd5c102b966970fa54e5443172c1bdb0de","target":"graph","created_at":"2026-07-10T00:19:05Z","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/2607.07943/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study tides during the inspiral of a binary neutron star (BNS) system, including nonlinear hydrodynamical interactions. Using an affine approximation that treats the perturbed NS as an ellipsoid, we analytically derive coupling coefficients among the f-modes and the radial mode to the four-wave order (i.e., next-to-next-to-leading order) in the Hamiltonian, allowing for arbitrary rotation of the background star. Our model reveals a series of universal relations from first-principles arguments. Besides the well-known relations, we show that the three-wave (next-to-leading-order) interaction ","authors_text":"Amlan Nanda, Fabian Gittins, Giorgio Nicolini, Hang Yu, K.J. Kwon, Nils Andersson, Pantelis Pnigouras, Shu Yan Lau, Tejaswi Venumadhav","cross_cats":["astro-ph.HE"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T21:42:21Z","title":"Nonlinear hydrodynamics in spinning neutron stars: Theoretical universal relations and equilibrium solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07943","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":"sha256:74d49fbd81ceedfefabf6e611e44819307cffcedeb7a3642a2bf81e60111e144","target":"record","created_at":"2026-07-10T00:19:05Z","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":"721db69fe89a1435a9d94d734aff5f2a65dc4b12b0c235e050a277f427d9ec77","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T21:42:21Z","title_canon_sha256":"fd123b87247c1863ba94927c805a4cbde2d8980fde1dfe9fc90a178e0f43b1b4"},"schema_version":"1.0","source":{"id":"2607.07943","kind":"arxiv","version":1}},"canonical_sha256":"b3596f41fd163dc7bbf66ea5225b346693997ae0a13924e8aec7a760dae2c595","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3596f41fd163dc7bbf66ea5225b346693997ae0a13924e8aec7a760dae2c595","first_computed_at":"2026-07-10T00:19:05.532703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T00:19:05.532703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XkCEWqyFT/ZcpW1Q8yJGUsojZIyjSd0qEbA/DADkAUxcvfqczR5IYAKWt2JTF567vGL8AaYV488xA3qG6M8iAA==","signature_status":"signed_v1","signed_at":"2026-07-10T00:19:05.533225Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.07943","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74d49fbd81ceedfefabf6e611e44819307cffcedeb7a3642a2bf81e60111e144","sha256:8f15b97095d339e4f267fc027b2baafd5c102b966970fa54e5443172c1bdb0de"],"state_sha256":"18fbca69f920d9c908307de4b1e36e5a39547acac32144316bf8d8ba28d49a71"}