{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6I2TARABCNHWUQEDPGKHJSC3LA","short_pith_number":"pith:6I2TARAB","schema_version":"1.0","canonical_sha256":"f235304401134f6a4083799474c85b581c562e813d7401b2ebf038e8314256e1","source":{"kind":"arxiv","id":"2505.14498","version":1},"attestation_state":"computed","paper":{"title":"Dispersive Decay Estimates for periodic Jacobi operators on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.SP","authors_text":"Amir Sagiv, Michael I Weinstein, Remy Kassem","submitted_at":"2025-05-20T15:27:34Z","abstract_excerpt":"We establish dispersive time-decay estimates for periodic Jacobi operators on the discrete half-line, $\\N$. Specifically, we prove $t^{-1/2}$ decay in the weighted $\\ell^\\infty_{-1}$ norm for all such operators. For the global $\\ell^1 \\to \\ell^\\infty$ decay estimate, we show that $t^{-1/3}$ decay holds under a nondegeneracy condition on the discriminant. Alternatively, for any even period $q\\geq2$, if the continuous spectrum consists of exactly $q$ disjoint intervals (bands), we obtain a $t^{-1/(q+1)}$ decay rate without any further assumptions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2505.14498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2025-05-20T15:27:34Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"c78fbe85f717e07e39953187778bc7434dcfaa29f21bdd7ef2e1c1bc812e2f1c","abstract_canon_sha256":"28b10742d6eacc8f3d367450d4a572b8a2b5ff8c90781555d60a8d14d6aa967d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:06:14.588761Z","signature_b64":"PjWuG9N+UlnsQ5DKIx/TbRoOZJ4UIlD2AwgaTPALpvzswuBrkrmChJizunCFeDx3W7Jhz5wfwrXyMvTo8wKOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f235304401134f6a4083799474c85b581c562e813d7401b2ebf038e8314256e1","last_reissued_at":"2026-07-05T11:06:14.588245Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:06:14.588245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dispersive Decay Estimates for periodic Jacobi operators on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.SP","authors_text":"Amir Sagiv, Michael I Weinstein, Remy Kassem","submitted_at":"2025-05-20T15:27:34Z","abstract_excerpt":"We establish dispersive time-decay estimates for periodic Jacobi operators on the discrete half-line, $\\N$. Specifically, we prove $t^{-1/2}$ decay in the weighted $\\ell^\\infty_{-1}$ norm for all such operators. For the global $\\ell^1 \\to \\ell^\\infty$ decay estimate, we show that $t^{-1/3}$ decay holds under a nondegeneracy condition on the discriminant. Alternatively, for any even period $q\\geq2$, if the continuous spectrum consists of exactly $q$ disjoint intervals (bands), we obtain a $t^{-1/(q+1)}$ decay rate without any further assumptions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.14498","kind":"arxiv","version":1},"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/2505.14498/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2505.14498","created_at":"2026-07-05T11:06:14.588309+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.14498v1","created_at":"2026-07-05T11:06:14.588309+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.14498","created_at":"2026-07-05T11:06:14.588309+00:00"},{"alias_kind":"pith_short_12","alias_value":"6I2TARABCNHW","created_at":"2026-07-05T11:06:14.588309+00:00"},{"alias_kind":"pith_short_16","alias_value":"6I2TARABCNHWUQED","created_at":"2026-07-05T11:06:14.588309+00:00"},{"alias_kind":"pith_short_8","alias_value":"6I2TARAB","created_at":"2026-07-05T11:06:14.588309+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.04381","citing_title":"Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\\\"odinger Operators","ref_index":32,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA","json":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA.json","graph_json":"https://pith.science/api/pith-number/6I2TARABCNHWUQEDPGKHJSC3LA/graph.json","events_json":"https://pith.science/api/pith-number/6I2TARABCNHWUQEDPGKHJSC3LA/events.json","paper":"https://pith.science/paper/6I2TARAB"},"agent_actions":{"view_html":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA","download_json":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA.json","view_paper":"https://pith.science/paper/6I2TARAB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.14498&json=true","fetch_graph":"https://pith.science/api/pith-number/6I2TARABCNHWUQEDPGKHJSC3LA/graph.json","fetch_events":"https://pith.science/api/pith-number/6I2TARABCNHWUQEDPGKHJSC3LA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA/action/storage_attestation","attest_author":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA/action/author_attestation","sign_citation":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA/action/citation_signature","submit_replication":"https://pith.science/pith/6I2TARABCNHWUQEDPGKHJSC3LA/action/replication_record"}},"created_at":"2026-07-05T11:06:14.588309+00:00","updated_at":"2026-07-05T11:06:14.588309+00:00"}