{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6XAQ6BGIQ2PSKEJE6PLG64TXLJ","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":"e592265e055ff28d92a42ad8225b6f676501fb11831ebceb69d86b199d70617b","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T09:34:43Z","title_canon_sha256":"296547e5665896ffad1fb4a680866f8c66a3d2218012299e4bd5ef3730d90387"},"schema_version":"1.0","source":{"id":"2607.26686","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26686","created_at":"2026-07-30T01:21:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26686v1","created_at":"2026-07-30T01:21:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26686","created_at":"2026-07-30T01:21:56Z"},{"alias_kind":"pith_short_12","alias_value":"6XAQ6BGIQ2PS","created_at":"2026-07-30T01:21:56Z"},{"alias_kind":"pith_short_16","alias_value":"6XAQ6BGIQ2PSKEJE","created_at":"2026-07-30T01:21:56Z"},{"alias_kind":"pith_short_8","alias_value":"6XAQ6BGI","created_at":"2026-07-30T01:21:56Z"}],"graph_snapshots":[{"event_id":"sha256:4911d29b2d184f6e56464023227f3ec4f4ac1727d0ea4b8031dfa66119c5d49b","target":"graph","created_at":"2026-07-30T01:21:56Z","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/2607.26686/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The tidal deformability of a compact object is encoded in a single function of frequency, the retarded Green's function relating the induced multipole to the applied tide. Causality, reality, passivity, and the high-frequency conditions required for a positive-measure dispersion representation allow this response to be rescaled into a holomorphic self-map of the upper complex frequency half-plane. Using the Schwarz--Pick theorem, already employed to derive the quantum chaos bound in black hole physics, we provide a bound on the rate of the tidal response with respect to the frequency. For a ne","authors_text":"Alex Kehagias, Antonio Riotto","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T09:34:43Z","title":"A Bound on the Dynamical Love Number"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26686","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":"sha256:49490846dd16f09ac2e35d31bcfaefe981a41ad7fdb9d46e59143b886a4ce76e","target":"record","created_at":"2026-07-30T01:21:56Z","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":"e592265e055ff28d92a42ad8225b6f676501fb11831ebceb69d86b199d70617b","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T09:34:43Z","title_canon_sha256":"296547e5665896ffad1fb4a680866f8c66a3d2218012299e4bd5ef3730d90387"},"schema_version":"1.0","source":{"id":"2607.26686","kind":"arxiv","version":1}},"canonical_sha256":"f5c10f04c8869f251124f3d66f72775a58d8a6efcd94825fe77b75a42357d931","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5c10f04c8869f251124f3d66f72775a58d8a6efcd94825fe77b75a42357d931","first_computed_at":"2026-07-30T01:21:56.159169Z","kind":"pith_receipt","last_reissued_at":"2026-07-30T01:21:56.159169Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.26686","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49490846dd16f09ac2e35d31bcfaefe981a41ad7fdb9d46e59143b886a4ce76e","sha256:4911d29b2d184f6e56464023227f3ec4f4ac1727d0ea4b8031dfa66119c5d49b"],"state_sha256":"056280de6faaaa80a2fb2b86012a6f79b8d0f59e8f7b5b276e625b8ff66c14c5"}