{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:L7VYIW4JD2H5QZ3EVSS3OH6LX5","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":"8203061ee89880b5ce2fe286c47dc3e9a227b89a37d82f93c8390cb1fde30813","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-01-07T06:12:46Z","title_canon_sha256":"7483b200e3907fa2c47b4d49f097bad6ca36a7c703de1e10a50bc86f1df05344"},"schema_version":"1.0","source":{"id":"2501.03557","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.03557","created_at":"2026-07-05T09:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"2501.03557v1","created_at":"2026-07-05T09:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.03557","created_at":"2026-07-05T09:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"L7VYIW4JD2H5","created_at":"2026-07-05T09:57:56Z"},{"alias_kind":"pith_short_16","alias_value":"L7VYIW4JD2H5QZ3E","created_at":"2026-07-05T09:57:56Z"},{"alias_kind":"pith_short_8","alias_value":"L7VYIW4J","created_at":"2026-07-05T09:57:56Z"}],"graph_snapshots":[{"event_id":"sha256:5955d9fce0b99b5a1164c0e63fa753f1ec61b0e3f34640782d90e6e053647018","target":"graph","created_at":"2026-07-05T09:57:56Z","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/2501.03557/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The phenomenon of high-order ($p/q$) synchronization, induced by \\textit{two different} frequencies in the system, is well-known and studied extensively in forced oscillators including neurons and to a lesser extent in coupled oscillators. Their frequencies are locked such that for every $p$ cycles of one oscillator there are $q$ cycles of the other. We demonstrate this phenomenon in a pair of coupled neurons having \\textit{identical} frequencies but \\textit{asymmetric} coupling. Specifically, we focus on an excitatory(E)-inhibitory(I) neuron pair where such an asymmetry is naturally present e","authors_text":"Abhay, Gaurav Dar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-01-07T06:12:46Z","title":"High-order synchronization in identical neurons with asymmetric pulse coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.03557","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:d5fc9c06611baf95295aa974d12cc6a1bfd5fc4f9bc6427938334ce6e67773eb","target":"record","created_at":"2026-07-05T09:57:56Z","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":"8203061ee89880b5ce2fe286c47dc3e9a227b89a37d82f93c8390cb1fde30813","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-01-07T06:12:46Z","title_canon_sha256":"7483b200e3907fa2c47b4d49f097bad6ca36a7c703de1e10a50bc86f1df05344"},"schema_version":"1.0","source":{"id":"2501.03557","kind":"arxiv","version":1}},"canonical_sha256":"5feb845b891e8fd86764aca5b71fcbbf405f2430e5d01b402e6e48e5b7619584","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5feb845b891e8fd86764aca5b71fcbbf405f2430e5d01b402e6e48e5b7619584","first_computed_at":"2026-07-05T09:57:56.464250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:56.464250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SFPupbEMRGbx1c0PmHDOyoQfDejhaKSH8W+mDMmOQLHFrwf9tyJpVjOYhus+lT3PUWEqW/wYPvKPW/mdhaoiAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:56.464758Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.03557","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5fc9c06611baf95295aa974d12cc6a1bfd5fc4f9bc6427938334ce6e67773eb","sha256:5955d9fce0b99b5a1164c0e63fa753f1ec61b0e3f34640782d90e6e053647018"],"state_sha256":"7df60869a19406b983ae6c360035619a9464e81e50bec6461a174142ecdaca0f"}