{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RJAUIX26ZR3XV5MQXICRGL6744","short_pith_number":"pith:RJAUIX26","schema_version":"1.0","canonical_sha256":"8a41445f5ecc777af590ba05132fdfe70e33f7dbe9d98c7a1161112287ccb699","source":{"kind":"arxiv","id":"1411.0432","version":8},"attestation_state":"computed","paper":{"title":"Modulated escape from a metastable state driven by colored noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jannis Schuecker, Markus Diesmann, Moritz Helias","submitted_at":"2014-11-03T11:24:05Z","abstract_excerpt":"Many phenomena in nature are described by excitable systems driven by colored noise. The temporal correlations in the fluctuations hinder an analytical treatment. We here present a general method of reduction to a white-noise system, capturing the color of the noise by effective and time-dependent boundary conditions. We apply the formalism to a model of the excitability of neuronal membranes, the leaky integrate-and-fire neuron model, revealing an analytical expression for the linear response of the system valid up to moderate frequencies. The closed form analytical expression enables the cha"},"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":"1411.0432","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-11-03T11:24:05Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"98f38aa05783a0b849d8b0639be4ffa6cff61538906a1334bb6d315afbad0ae7","abstract_canon_sha256":"af16e0305bf8e511b2e9f82ac34a9efb9090381ef951b50d4ce55d40f45e4c66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:10.743129Z","signature_b64":"3I3+AwlMZojz/GzMXcDWzcamCUAuWePV/vFbUlWCWHLK7rARqPCXdfAug816JAmWNCHjZAt1bSVhfNgS7qwNBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a41445f5ecc777af590ba05132fdfe70e33f7dbe9d98c7a1161112287ccb699","last_reissued_at":"2026-05-18T01:26:10.742641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:10.742641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modulated escape from a metastable state driven by colored noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jannis Schuecker, Markus Diesmann, Moritz Helias","submitted_at":"2014-11-03T11:24:05Z","abstract_excerpt":"Many phenomena in nature are described by excitable systems driven by colored noise. The temporal correlations in the fluctuations hinder an analytical treatment. We here present a general method of reduction to a white-noise system, capturing the color of the noise by effective and time-dependent boundary conditions. We apply the formalism to a model of the excitability of neuronal membranes, the leaky integrate-and-fire neuron model, revealing an analytical expression for the linear response of the system valid up to moderate frequencies. The closed form analytical expression enables the cha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0432","kind":"arxiv","version":8},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1411.0432","created_at":"2026-05-18T01:26:10.742717+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.0432v8","created_at":"2026-05-18T01:26:10.742717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0432","created_at":"2026-05-18T01:26:10.742717+00:00"},{"alias_kind":"pith_short_12","alias_value":"RJAUIX26ZR3X","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RJAUIX26ZR3XV5MQ","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RJAUIX26","created_at":"2026-05-18T12:28:46.137349+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/RJAUIX26ZR3XV5MQXICRGL6744","json":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744.json","graph_json":"https://pith.science/api/pith-number/RJAUIX26ZR3XV5MQXICRGL6744/graph.json","events_json":"https://pith.science/api/pith-number/RJAUIX26ZR3XV5MQXICRGL6744/events.json","paper":"https://pith.science/paper/RJAUIX26"},"agent_actions":{"view_html":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744","download_json":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744.json","view_paper":"https://pith.science/paper/RJAUIX26","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.0432&json=true","fetch_graph":"https://pith.science/api/pith-number/RJAUIX26ZR3XV5MQXICRGL6744/graph.json","fetch_events":"https://pith.science/api/pith-number/RJAUIX26ZR3XV5MQXICRGL6744/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744/action/storage_attestation","attest_author":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744/action/author_attestation","sign_citation":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744/action/citation_signature","submit_replication":"https://pith.science/pith/RJAUIX26ZR3XV5MQXICRGL6744/action/replication_record"}},"created_at":"2026-05-18T01:26:10.742717+00:00","updated_at":"2026-05-18T01:26:10.742717+00:00"}