{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:UUJHJPRKMBOJO633C6ENFCRDGB","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":"e9d0e03405b1b24420fe13dc9e7909862b7e6361e67e5a2cc65c1820b0f8c129","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-14T09:27:55Z","title_canon_sha256":"2071c3f28c20819bf8a0bce1f04c99490950fb75bc09b77eee29abab82c77d39"},"schema_version":"1.0","source":{"id":"0910.2558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.2558","created_at":"2026-05-18T02:11:23Z"},{"alias_kind":"arxiv_version","alias_value":"0910.2558v1","created_at":"2026-05-18T02:11:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.2558","created_at":"2026-05-18T02:11:23Z"},{"alias_kind":"pith_short_12","alias_value":"UUJHJPRKMBOJ","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"UUJHJPRKMBOJO633","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"UUJHJPRK","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:87e7864bb780ae8818749c0ea2daa70ef24408a174124c2c8bae674ff5d980ba","target":"graph","created_at":"2026-05-18T02:11:23Z","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"},"paper":{"abstract_excerpt":"Emergence of noise induced regularity or Coherence Resonance in nonlinear excitable systems is well known. We explain theoretically why the normalized variance ($V_{N}$) of inter spike time intervals, which is a measure of regularity in such systems, has a unimodal profile. Our semi-analytic treatment of the associated spiking process produces a general yet simple formula for $V_{N}$, which we show is in very good agreement with numerics in two test cases, namely the FitzHugh-Nagumo model and the Chemical Oscillator model.","authors_text":"Anirban Sain, Dibyendu Das, P. Parmananda, Santidan Biswas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-14T09:27:55Z","title":"Predicting the coherence resonance curve using a semi-analytical treatment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.2558","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":"sha256:2730f92458c43814d724a4042f6ede71c0a782959192a0bb6dd625e038dc4f8c","target":"record","created_at":"2026-05-18T02:11:23Z","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":"e9d0e03405b1b24420fe13dc9e7909862b7e6361e67e5a2cc65c1820b0f8c129","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-14T09:27:55Z","title_canon_sha256":"2071c3f28c20819bf8a0bce1f04c99490950fb75bc09b77eee29abab82c77d39"},"schema_version":"1.0","source":{"id":"0910.2558","kind":"arxiv","version":1}},"canonical_sha256":"a51274be2a605c977b7b1788d28a233062cb6f05a0cda1fbb193ef6c8bc03107","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a51274be2a605c977b7b1788d28a233062cb6f05a0cda1fbb193ef6c8bc03107","first_computed_at":"2026-05-18T02:11:23.801632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:23.801632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"86Z/IbVYTSK0KrAjzufG9765t1ngj2Y0X7M9EjsVfcLHDZpCfam/Yh24dbHiwbq03fTC6tOgl5wOCyOxx9voAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:23.802355Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.2558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2730f92458c43814d724a4042f6ede71c0a782959192a0bb6dd625e038dc4f8c","sha256:87e7864bb780ae8818749c0ea2daa70ef24408a174124c2c8bae674ff5d980ba"],"state_sha256":"e65b3ad5f88709034fdb9f6c7996848144cb1a117af4dc620a8a6887f7b75933"}