{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BTSHE3T3TRLG6ICZAIE2LYB2MS","short_pith_number":"pith:BTSHE3T3","schema_version":"1.0","canonical_sha256":"0ce4726e7b9c566f20590209a5e03a64b4144b6ff5c4157d1dec623928f3976d","source":{"kind":"arxiv","id":"2606.10032","version":1},"attestation_state":"computed","paper":{"title":"Collective drift and pinning in active rotator networks with Kuramoto coupling and mixed-sign feedback disorder","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"nlin.AO","authors_text":"Arpan Dey","submitted_at":"2026-06-08T18:09:47Z","abstract_excerpt":"Active rotator models provide a minimal phase description of excitable and oscillatory systems, and have long been used to study mutual entrainment, synchronization, and collective transitions. Here, we investigate fully connected active rotator networks with Kuramoto coupling, where a common intrinsic drive competes with local feedback amplitudes drawn from a zero-mean Gaussian distribution. This produces a competition between local pinning and collective phase alignment. Using mean absolute late-time drift and the fractions of positive and negative drifting oscillators, we construct numerica"},"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":"2606.10032","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2026-06-08T18:09:47Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"a7a7f666fec8dcc1c7b3da1e2dba0003fcab9c8d6da856a2f3551da1b24fbb81","abstract_canon_sha256":"9460faef2e4c859d1643cde0b193ab107c90c055fb19c2a6b6ffd5a0ff140a83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T00:08:45.528475Z","signature_b64":"wn144LTS9qnmg0uIg2LF9jkmZGkxiAt1MGyanHNNqD5frZK1qk/CV0TkPMdhPqFuAgNq9yw18nv2M1jpb/GuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ce4726e7b9c566f20590209a5e03a64b4144b6ff5c4157d1dec623928f3976d","last_reissued_at":"2026-06-10T00:08:45.527604Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T00:08:45.527604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Collective drift and pinning in active rotator networks with Kuramoto coupling and mixed-sign feedback disorder","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"nlin.AO","authors_text":"Arpan Dey","submitted_at":"2026-06-08T18:09:47Z","abstract_excerpt":"Active rotator models provide a minimal phase description of excitable and oscillatory systems, and have long been used to study mutual entrainment, synchronization, and collective transitions. Here, we investigate fully connected active rotator networks with Kuramoto coupling, where a common intrinsic drive competes with local feedback amplitudes drawn from a zero-mean Gaussian distribution. This produces a competition between local pinning and collective phase alignment. Using mean absolute late-time drift and the fractions of positive and negative drifting oscillators, we construct numerica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10032","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/2606.10032/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":"2606.10032","created_at":"2026-06-10T00:08:45.527751+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.10032v1","created_at":"2026-06-10T00:08:45.527751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10032","created_at":"2026-06-10T00:08:45.527751+00:00"},{"alias_kind":"pith_short_12","alias_value":"BTSHE3T3TRLG","created_at":"2026-06-10T00:08:45.527751+00:00"},{"alias_kind":"pith_short_16","alias_value":"BTSHE3T3TRLG6ICZ","created_at":"2026-06-10T00:08:45.527751+00:00"},{"alias_kind":"pith_short_8","alias_value":"BTSHE3T3","created_at":"2026-06-10T00:08:45.527751+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/BTSHE3T3TRLG6ICZAIE2LYB2MS","json":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS.json","graph_json":"https://pith.science/api/pith-number/BTSHE3T3TRLG6ICZAIE2LYB2MS/graph.json","events_json":"https://pith.science/api/pith-number/BTSHE3T3TRLG6ICZAIE2LYB2MS/events.json","paper":"https://pith.science/paper/BTSHE3T3"},"agent_actions":{"view_html":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS","download_json":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS.json","view_paper":"https://pith.science/paper/BTSHE3T3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.10032&json=true","fetch_graph":"https://pith.science/api/pith-number/BTSHE3T3TRLG6ICZAIE2LYB2MS/graph.json","fetch_events":"https://pith.science/api/pith-number/BTSHE3T3TRLG6ICZAIE2LYB2MS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS/action/storage_attestation","attest_author":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS/action/author_attestation","sign_citation":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS/action/citation_signature","submit_replication":"https://pith.science/pith/BTSHE3T3TRLG6ICZAIE2LYB2MS/action/replication_record"}},"created_at":"2026-06-10T00:08:45.527751+00:00","updated_at":"2026-06-10T00:08:45.527751+00:00"}