{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:V3EHRDYLCCFVRJCKKZIONXMTXG","short_pith_number":"pith:V3EHRDYL","canonical_record":{"source":{"id":"1108.0073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-30T14:46:46Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"fcfa04ff0488740b843213e15e2ea41cfba08d9a341f6a636e38834075f8611b","abstract_canon_sha256":"7c38168630176f1255446487f0c5cc82a22f9862682ca35609ca0164512807fe"},"schema_version":"1.0"},"canonical_sha256":"aec8788f0b108b58a44a5650e6dd93b980d8a592c6dcb8ba9bcf397dbae057eb","source":{"kind":"arxiv","id":"1108.0073","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0073","created_at":"2026-05-18T03:00:27Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0073v1","created_at":"2026-05-18T03:00:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0073","created_at":"2026-05-18T03:00:27Z"},{"alias_kind":"pith_short_12","alias_value":"V3EHRDYLCCFV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V3EHRDYLCCFVRJCK","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V3EHRDYL","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:V3EHRDYLCCFVRJCKKZIONXMTXG","target":"record","payload":{"canonical_record":{"source":{"id":"1108.0073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-30T14:46:46Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"fcfa04ff0488740b843213e15e2ea41cfba08d9a341f6a636e38834075f8611b","abstract_canon_sha256":"7c38168630176f1255446487f0c5cc82a22f9862682ca35609ca0164512807fe"},"schema_version":"1.0"},"canonical_sha256":"aec8788f0b108b58a44a5650e6dd93b980d8a592c6dcb8ba9bcf397dbae057eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:27.215230Z","signature_b64":"25VfQjTuA3ARXiJGnQeUMy8jc7eSMQsK7gygld/hmHHXCxnBN8P89lJ+GVsK1j86n8gMwD45BV2HSRAFGrXGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aec8788f0b108b58a44a5650e6dd93b980d8a592c6dcb8ba9bcf397dbae057eb","last_reissued_at":"2026-05-18T03:00:27.214558Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:27.214558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.0073","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":"2026-05-18T03:00:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3IH9WVMMme2iBWTRngJtUdCvZFeELrLZ79NLi/5gBXg9EbqT6gHuXwt/oxZPEq9WSluWTIXl2Ix4vnEx3ryXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:40:09.332953Z"},"content_sha256":"745cf2da7c20dc71861f3c6f4e46c6e992b3b39dfc7208e78b5edf1d17bf5422","schema_version":"1.0","event_id":"sha256:745cf2da7c20dc71861f3c6f4e46c6e992b3b39dfc7208e78b5edf1d17bf5422"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:V3EHRDYLCCFVRJCKKZIONXMTXG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Morris-Lecar neuron model embeds a leaky integrate-and-fire model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"math.PR","authors_text":"Priscilla Greenwood, Susanne Ditlevsen","submitted_at":"2011-07-30T14:46:46Z","abstract_excerpt":"We show that the stochastic Morris-Lecar neuron, in a neighborhood of its stable point, can be approximated by a two-dimensional Ornstein-Uhlenbeck (OU) modulation of a constant circular motion. The associated radial OU process is an example of a leaky integrate-and-fire (LIF) model prior to firing. A new model constructed from a radial OU process together with a simple firing mechanism based on detailed Morris-Lecar firing statistics reproduces the Morris-Lecar Interspike Interval (ISI) distribution, and has the computational advantages of a LIF. The result justifies the large amount of atten"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0073","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":"2026-05-18T03:00:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3jcGpgtGNr8Cb2j7CFwVwRC2J48PTx4mca1U3lipEWPbkPqxHLYBhVRs3r0JA5ODhVZHX0YuqCn3qcc7zaWdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:40:09.333566Z"},"content_sha256":"9ec7341c93b527656e0da2a63ac71c1c88f8b95fcaf3a6f882ab7ed41c5ae593","schema_version":"1.0","event_id":"sha256:9ec7341c93b527656e0da2a63ac71c1c88f8b95fcaf3a6f882ab7ed41c5ae593"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V3EHRDYLCCFVRJCKKZIONXMTXG/bundle.json","state_url":"https://pith.science/pith/V3EHRDYLCCFVRJCKKZIONXMTXG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V3EHRDYLCCFVRJCKKZIONXMTXG/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":"2026-05-25T13:40:09Z","links":{"resolver":"https://pith.science/pith/V3EHRDYLCCFVRJCKKZIONXMTXG","bundle":"https://pith.science/pith/V3EHRDYLCCFVRJCKKZIONXMTXG/bundle.json","state":"https://pith.science/pith/V3EHRDYLCCFVRJCKKZIONXMTXG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V3EHRDYLCCFVRJCKKZIONXMTXG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V3EHRDYLCCFVRJCKKZIONXMTXG","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":"7c38168630176f1255446487f0c5cc82a22f9862682ca35609ca0164512807fe","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-30T14:46:46Z","title_canon_sha256":"fcfa04ff0488740b843213e15e2ea41cfba08d9a341f6a636e38834075f8611b"},"schema_version":"1.0","source":{"id":"1108.0073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0073","created_at":"2026-05-18T03:00:27Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0073v1","created_at":"2026-05-18T03:00:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0073","created_at":"2026-05-18T03:00:27Z"},{"alias_kind":"pith_short_12","alias_value":"V3EHRDYLCCFV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V3EHRDYLCCFVRJCK","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V3EHRDYL","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:9ec7341c93b527656e0da2a63ac71c1c88f8b95fcaf3a6f882ab7ed41c5ae593","target":"graph","created_at":"2026-05-18T03:00:27Z","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":"We show that the stochastic Morris-Lecar neuron, in a neighborhood of its stable point, can be approximated by a two-dimensional Ornstein-Uhlenbeck (OU) modulation of a constant circular motion. The associated radial OU process is an example of a leaky integrate-and-fire (LIF) model prior to firing. A new model constructed from a radial OU process together with a simple firing mechanism based on detailed Morris-Lecar firing statistics reproduces the Morris-Lecar Interspike Interval (ISI) distribution, and has the computational advantages of a LIF. The result justifies the large amount of atten","authors_text":"Priscilla Greenwood, Susanne Ditlevsen","cross_cats":["q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-30T14:46:46Z","title":"The Morris-Lecar neuron model embeds a leaky integrate-and-fire model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0073","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":"sha256:745cf2da7c20dc71861f3c6f4e46c6e992b3b39dfc7208e78b5edf1d17bf5422","target":"record","created_at":"2026-05-18T03:00:27Z","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":"7c38168630176f1255446487f0c5cc82a22f9862682ca35609ca0164512807fe","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-30T14:46:46Z","title_canon_sha256":"fcfa04ff0488740b843213e15e2ea41cfba08d9a341f6a636e38834075f8611b"},"schema_version":"1.0","source":{"id":"1108.0073","kind":"arxiv","version":1}},"canonical_sha256":"aec8788f0b108b58a44a5650e6dd93b980d8a592c6dcb8ba9bcf397dbae057eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aec8788f0b108b58a44a5650e6dd93b980d8a592c6dcb8ba9bcf397dbae057eb","first_computed_at":"2026-05-18T03:00:27.214558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:27.214558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"25VfQjTuA3ARXiJGnQeUMy8jc7eSMQsK7gygld/hmHHXCxnBN8P89lJ+GVsK1j86n8gMwD45BV2HSRAFGrXGCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:27.215230Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:745cf2da7c20dc71861f3c6f4e46c6e992b3b39dfc7208e78b5edf1d17bf5422","sha256:9ec7341c93b527656e0da2a63ac71c1c88f8b95fcaf3a6f882ab7ed41c5ae593"],"state_sha256":"0713e2cebac319069514ac685eb0d1da00d5a726ed2972ed41f9d5d06442d868"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4YEdizZ6mWKumeYOLD2B6mTk+FKhcA7n5638cIqpMdgirT9k/Id5dBGahmhRS5t+FET4E3sLPjz2RQ3bVwI/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T13:40:09.337643Z","bundle_sha256":"cbff0da08b656dce2fff4c4ac724af844fccf7abc32b9ec6e520153afc62f3a1"}}