{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7XZZY7X5ZQ2UCALCNZSM65QGS5","short_pith_number":"pith:7XZZY7X5","schema_version":"1.0","canonical_sha256":"fdf39c7efdcc354101626e64cf7606975a6ff1f4ab3e29d40e3a0d636f84e91c","source":{"kind":"arxiv","id":"2606.20733","version":1},"attestation_state":"computed","paper":{"title":"Dissecting emerging slow rhythms in delay-coupled neural oscillators","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.DS","q-bio.NC","q-bio.QM"],"primary_cat":"nlin.CD","authors_text":"Matteo Martin, Morten Gram Pedersen, Shenquan Liu, Xinxin Qie","submitted_at":"2026-06-17T12:13:20Z","abstract_excerpt":"Synaptic transmission delays are ubiquitous in neural circuits and can alter the dynamical repertoire of coupled oscillators quantitatively and qualitatively. Here, we demonstrate that delayed coupling in inhibitory networks introduces an effective slow-fast structure in the phase-difference dynamics, generating low-frequency components that are not due to intrinsic cellular properties, and we show that this behavior is not specific to a particular model structure. The origin of this generic phenomenon is analyzed by numerical continuation and bifurcation analysis, which provides a systematic "},"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":"2606.20733","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-06-17T12:13:20Z","cross_cats_sorted":["math.DS","q-bio.NC","q-bio.QM"],"title_canon_sha256":"2fca7d0a66a4a2e6d20907aabc2d6e1467633c6da9ebf5ff98521190570642d1","abstract_canon_sha256":"747c2865eaa07668e0df17374681e8e3741e01604231256dbb781fb6836984b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T00:11:55.042248Z","signature_b64":"f0L+M36uh4GfkoSFk7KMy6rfbQsaUJR3rrY/t6tYtTr6i+66BWIPxWvubcaqvkOlMct//p93o4FaISPZ1kNLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdf39c7efdcc354101626e64cf7606975a6ff1f4ab3e29d40e3a0d636f84e91c","last_reissued_at":"2026-06-23T00:11:55.041860Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T00:11:55.041860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dissecting emerging slow rhythms in delay-coupled neural oscillators","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.DS","q-bio.NC","q-bio.QM"],"primary_cat":"nlin.CD","authors_text":"Matteo Martin, Morten Gram Pedersen, Shenquan Liu, Xinxin Qie","submitted_at":"2026-06-17T12:13:20Z","abstract_excerpt":"Synaptic transmission delays are ubiquitous in neural circuits and can alter the dynamical repertoire of coupled oscillators quantitatively and qualitatively. Here, we demonstrate that delayed coupling in inhibitory networks introduces an effective slow-fast structure in the phase-difference dynamics, generating low-frequency components that are not due to intrinsic cellular properties, and we show that this behavior is not specific to a particular model structure. The origin of this generic phenomenon is analyzed by numerical continuation and bifurcation analysis, which provides a systematic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20733","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/2606.20733/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":"2606.20733","created_at":"2026-06-23T00:11:55.041921+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.20733v1","created_at":"2026-06-23T00:11:55.041921+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20733","created_at":"2026-06-23T00:11:55.041921+00:00"},{"alias_kind":"pith_short_12","alias_value":"7XZZY7X5ZQ2U","created_at":"2026-06-23T00:11:55.041921+00:00"},{"alias_kind":"pith_short_16","alias_value":"7XZZY7X5ZQ2UCALC","created_at":"2026-06-23T00:11:55.041921+00:00"},{"alias_kind":"pith_short_8","alias_value":"7XZZY7X5","created_at":"2026-06-23T00:11:55.041921+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5","json":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5.json","graph_json":"https://pith.science/api/pith-number/7XZZY7X5ZQ2UCALCNZSM65QGS5/graph.json","events_json":"https://pith.science/api/pith-number/7XZZY7X5ZQ2UCALCNZSM65QGS5/events.json","paper":"https://pith.science/paper/7XZZY7X5"},"agent_actions":{"view_html":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5","download_json":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5.json","view_paper":"https://pith.science/paper/7XZZY7X5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.20733&json=true","fetch_graph":"https://pith.science/api/pith-number/7XZZY7X5ZQ2UCALCNZSM65QGS5/graph.json","fetch_events":"https://pith.science/api/pith-number/7XZZY7X5ZQ2UCALCNZSM65QGS5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5/action/storage_attestation","attest_author":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5/action/author_attestation","sign_citation":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5/action/citation_signature","submit_replication":"https://pith.science/pith/7XZZY7X5ZQ2UCALCNZSM65QGS5/action/replication_record"}},"created_at":"2026-06-23T00:11:55.041921+00:00","updated_at":"2026-06-23T00:11:55.041921+00:00"}