{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2XK3NB2WRQUVLNFMDZP6WE3R4P","short_pith_number":"pith:2XK3NB2W","canonical_record":{"source":{"id":"1610.05084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2016-10-17T12:48:28Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"740b199d8b3f18b466a4002bc6d4dbd4d89cf6e88e1ccf5f3bd81d3e92383d2e","abstract_canon_sha256":"cefc4d943bdf93d42b361d2e71e4685ad52663013503e590e47c85fdb24ebd8c"},"schema_version":"1.0"},"canonical_sha256":"d5d5b687568c2955b4ac1e5feb1371e3fe66eb11c6b918ec9cd624df5c91ec51","source":{"kind":"arxiv","id":"1610.05084","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05084","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05084v1","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05084","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"2XK3NB2WRQUV","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2XK3NB2WRQUVLNFM","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2XK3NB2W","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2XK3NB2WRQUVLNFMDZP6WE3R4P","target":"record","payload":{"canonical_record":{"source":{"id":"1610.05084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2016-10-17T12:48:28Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"740b199d8b3f18b466a4002bc6d4dbd4d89cf6e88e1ccf5f3bd81d3e92383d2e","abstract_canon_sha256":"cefc4d943bdf93d42b361d2e71e4685ad52663013503e590e47c85fdb24ebd8c"},"schema_version":"1.0"},"canonical_sha256":"d5d5b687568c2955b4ac1e5feb1371e3fe66eb11c6b918ec9cd624df5c91ec51","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:43.286980Z","signature_b64":"b9IgF+TVFTnnvPWIwkYxIyGEAvQ43CaCptbAfu/Vlg+wOwUsRXLwtnwNJjGKUTDC6OwiKLZPp26a1t71lrpUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5d5b687568c2955b4ac1e5feb1371e3fe66eb11c6b918ec9cd624df5c91ec51","last_reissued_at":"2026-05-18T00:51:43.286464Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:43.286464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.05084","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PpnwGL6FjqdwOAWlk6ovZd29ZAKcpEA4WR8cETaZ8oa4+mAcFPlM5cQWuVqSAblEKuRUV1aWfE4sVwWyVz1IDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:00:01.056647Z"},"content_sha256":"a88e493639ad53ec64af9f3d6dccaba670918dfcd8be82d01d5c1461e2c3658b","schema_version":"1.0","event_id":"sha256:a88e493639ad53ec64af9f3d6dccaba670918dfcd8be82d01d5c1461e2c3658b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2XK3NB2WRQUVLNFMDZP6WE3R4P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact results for power spectrum and susceptibility of a leaky integrate-and-fire neuron with two-state noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"physics.bio-ph","authors_text":"Benjamin Lindner, Felix Droste","submitted_at":"2016-10-17T12:48:28Z","abstract_excerpt":"The response properties of excitable systems driven by colored noise are of great interest, but are usually mathematically only accessible via approximations. For this reason, dichotomous noise, a rare example of a colored noise leading often to analytically tractable problems, has been extensively used in the study of stochastic systems. Here, we calculate exact expressions for the power spectrum and the susceptibility of a leaky integrate-and-fire neuron driven by asymmetric dichotomous noise. While our results are in excellent agreement with simulations, they also highlight a limitation of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05084","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jPbZERFvofoqyH3GDWC5ykkfkFQhmYVmD11t+eoRHpD2VOWoZUgAEyM6n5/7x0miWfd3OEUKbnEe+/Y+Vbr/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:00:01.056990Z"},"content_sha256":"b456a9b105698ccb1fd4514e90c15470efb33f48bf89603bf5c67cb81341b891","schema_version":"1.0","event_id":"sha256:b456a9b105698ccb1fd4514e90c15470efb33f48bf89603bf5c67cb81341b891"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2XK3NB2WRQUVLNFMDZP6WE3R4P/bundle.json","state_url":"https://pith.science/pith/2XK3NB2WRQUVLNFMDZP6WE3R4P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2XK3NB2WRQUVLNFMDZP6WE3R4P/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T12:00:01Z","links":{"resolver":"https://pith.science/pith/2XK3NB2WRQUVLNFMDZP6WE3R4P","bundle":"https://pith.science/pith/2XK3NB2WRQUVLNFMDZP6WE3R4P/bundle.json","state":"https://pith.science/pith/2XK3NB2WRQUVLNFMDZP6WE3R4P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2XK3NB2WRQUVLNFMDZP6WE3R4P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2XK3NB2WRQUVLNFMDZP6WE3R4P","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":"cefc4d943bdf93d42b361d2e71e4685ad52663013503e590e47c85fdb24ebd8c","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2016-10-17T12:48:28Z","title_canon_sha256":"740b199d8b3f18b466a4002bc6d4dbd4d89cf6e88e1ccf5f3bd81d3e92383d2e"},"schema_version":"1.0","source":{"id":"1610.05084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05084","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05084v1","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05084","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"2XK3NB2WRQUV","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2XK3NB2WRQUVLNFM","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2XK3NB2W","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:b456a9b105698ccb1fd4514e90c15470efb33f48bf89603bf5c67cb81341b891","target":"graph","created_at":"2026-05-18T00:51:43Z","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":"The response properties of excitable systems driven by colored noise are of great interest, but are usually mathematically only accessible via approximations. For this reason, dichotomous noise, a rare example of a colored noise leading often to analytically tractable problems, has been extensively used in the study of stochastic systems. Here, we calculate exact expressions for the power spectrum and the susceptibility of a leaky integrate-and-fire neuron driven by asymmetric dichotomous noise. While our results are in excellent agreement with simulations, they also highlight a limitation of ","authors_text":"Benjamin Lindner, Felix Droste","cross_cats":["q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2016-10-17T12:48:28Z","title":"Exact results for power spectrum and susceptibility of a leaky integrate-and-fire neuron with two-state noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05084","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:a88e493639ad53ec64af9f3d6dccaba670918dfcd8be82d01d5c1461e2c3658b","target":"record","created_at":"2026-05-18T00:51:43Z","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":"cefc4d943bdf93d42b361d2e71e4685ad52663013503e590e47c85fdb24ebd8c","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2016-10-17T12:48:28Z","title_canon_sha256":"740b199d8b3f18b466a4002bc6d4dbd4d89cf6e88e1ccf5f3bd81d3e92383d2e"},"schema_version":"1.0","source":{"id":"1610.05084","kind":"arxiv","version":1}},"canonical_sha256":"d5d5b687568c2955b4ac1e5feb1371e3fe66eb11c6b918ec9cd624df5c91ec51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5d5b687568c2955b4ac1e5feb1371e3fe66eb11c6b918ec9cd624df5c91ec51","first_computed_at":"2026-05-18T00:51:43.286464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:43.286464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b9IgF+TVFTnnvPWIwkYxIyGEAvQ43CaCptbAfu/Vlg+wOwUsRXLwtnwNJjGKUTDC6OwiKLZPp26a1t71lrpUAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:43.286980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a88e493639ad53ec64af9f3d6dccaba670918dfcd8be82d01d5c1461e2c3658b","sha256:b456a9b105698ccb1fd4514e90c15470efb33f48bf89603bf5c67cb81341b891"],"state_sha256":"79402ca9a676960f63bea3745d4217fed41815832c950f98a042f12eaab5cc02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHI+X0+m6isgwzrGfDUBqdFfwChSODD26ovJ7sBbVG6vWMz2FkD2gT9BcUPd+qfYTvRyJS89hOObRwoOA+ghCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T12:00:01.058950Z","bundle_sha256":"dd1640e9d53891ce18a7789eb47513cf71615bc2a956155b6e670d80ccba25eb"}}