{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:BJR7FND6TXYVQTH7MPRDMZJWS7","short_pith_number":"pith:BJR7FND6","canonical_record":{"source":{"id":"1008.4043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-24T13:33:56Z","cross_cats_sorted":["physics.bio-ph","q-bio.NC"],"title_canon_sha256":"f848541465ce0a46babb7e3445ed924f5f421a800d6c47e1343d4e797a6b3f94","abstract_canon_sha256":"65e713c5f7159d4e8e7dd6acb349638d89ac7f48267741f53d3f84a1d9281635"},"schema_version":"1.0"},"canonical_sha256":"0a63f2b47e9df1584cff63e236653697e46cbc8789e64801eace36aaa6efd36e","source":{"kind":"arxiv","id":"1008.4043","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4043","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4043v1","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4043","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"pith_short_12","alias_value":"BJR7FND6TXYV","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BJR7FND6TXYVQTH7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BJR7FND6","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:BJR7FND6TXYVQTH7MPRDMZJWS7","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-24T13:33:56Z","cross_cats_sorted":["physics.bio-ph","q-bio.NC"],"title_canon_sha256":"f848541465ce0a46babb7e3445ed924f5f421a800d6c47e1343d4e797a6b3f94","abstract_canon_sha256":"65e713c5f7159d4e8e7dd6acb349638d89ac7f48267741f53d3f84a1d9281635"},"schema_version":"1.0"},"canonical_sha256":"0a63f2b47e9df1584cff63e236653697e46cbc8789e64801eace36aaa6efd36e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:43.301204Z","signature_b64":"XJNVAhHWKkkvbVXw9ZLOKLMB4/ptEyjLG+BH8AIiOKgixa3wNNzd1fUaeb3wLtSnJsVLUm2v9dwewNGoWdGkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a63f2b47e9df1584cff63e236653697e46cbc8789e64801eace36aaa6efd36e","last_reissued_at":"2026-05-18T02:05:43.300599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:43.300599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4043","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":"2026-05-18T02:05:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XKT4lJzyrLWt7B7WbPmJfXNP2m0eoztgwcvGhJJhST8VOwLH/tg9AGKJh8MPkpWfvJOHk8mhQnnbj1OxBMVFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:25:05.465996Z"},"content_sha256":"459c1a07d09ad5b93cc87db943e0441db2c74599132def0334415dd46614bb07","schema_version":"1.0","event_id":"sha256:459c1a07d09ad5b93cc87db943e0441db2c74599132def0334415dd46614bb07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:BJR7FND6TXYVQTH7MPRDMZJWS7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metabifurcation analysis of a mean field model of the cortex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.NC"],"primary_cat":"math.DS","authors_text":"David T J Liley, Federico Frascoli, Ingo Bojak, Lennaert van Veen","submitted_at":"2010-08-24T13:33:56Z","abstract_excerpt":"Mean field models (MFMs) of cortical tissue incorporate salient features of neural masses to model activity at the population level. One of the common aspects of MFM descriptions is the presence of a high dimensional parameter space capturing neurobiological attributes relevant to brain dynamics. We study the physiological parameter space of a MFM of electrocortical activity and discover robust correlations between physiological attributes of the model cortex and its dynamical features. These correlations are revealed by the study of bifurcation plots, which show that the model responses to ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4043","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":"2026-05-18T02:05:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eMmHZ4+N7+4AFwQDjkp69NA/yIcia0gTHmJS5MkelG+yJbVyUS2AMCdft7bUkEG6sq7x2svOFFZiHNUh/nZ9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:25:05.466502Z"},"content_sha256":"cce65b47d22bd55eae050c182259089fbbc08a1de677600120d7c9611e5aaa81","schema_version":"1.0","event_id":"sha256:cce65b47d22bd55eae050c182259089fbbc08a1de677600120d7c9611e5aaa81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BJR7FND6TXYVQTH7MPRDMZJWS7/bundle.json","state_url":"https://pith.science/pith/BJR7FND6TXYVQTH7MPRDMZJWS7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BJR7FND6TXYVQTH7MPRDMZJWS7/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":"2026-06-02T19:25:05Z","links":{"resolver":"https://pith.science/pith/BJR7FND6TXYVQTH7MPRDMZJWS7","bundle":"https://pith.science/pith/BJR7FND6TXYVQTH7MPRDMZJWS7/bundle.json","state":"https://pith.science/pith/BJR7FND6TXYVQTH7MPRDMZJWS7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BJR7FND6TXYVQTH7MPRDMZJWS7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BJR7FND6TXYVQTH7MPRDMZJWS7","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":"65e713c5f7159d4e8e7dd6acb349638d89ac7f48267741f53d3f84a1d9281635","cross_cats_sorted":["physics.bio-ph","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-24T13:33:56Z","title_canon_sha256":"f848541465ce0a46babb7e3445ed924f5f421a800d6c47e1343d4e797a6b3f94"},"schema_version":"1.0","source":{"id":"1008.4043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4043","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4043v1","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4043","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"pith_short_12","alias_value":"BJR7FND6TXYV","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BJR7FND6TXYVQTH7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BJR7FND6","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:cce65b47d22bd55eae050c182259089fbbc08a1de677600120d7c9611e5aaa81","target":"graph","created_at":"2026-05-18T02:05:43Z","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":"Mean field models (MFMs) of cortical tissue incorporate salient features of neural masses to model activity at the population level. One of the common aspects of MFM descriptions is the presence of a high dimensional parameter space capturing neurobiological attributes relevant to brain dynamics. We study the physiological parameter space of a MFM of electrocortical activity and discover robust correlations between physiological attributes of the model cortex and its dynamical features. These correlations are revealed by the study of bifurcation plots, which show that the model responses to ch","authors_text":"David T J Liley, Federico Frascoli, Ingo Bojak, Lennaert van Veen","cross_cats":["physics.bio-ph","q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-24T13:33:56Z","title":"Metabifurcation analysis of a mean field model of the cortex"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4043","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":"sha256:459c1a07d09ad5b93cc87db943e0441db2c74599132def0334415dd46614bb07","target":"record","created_at":"2026-05-18T02:05:43Z","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":"65e713c5f7159d4e8e7dd6acb349638d89ac7f48267741f53d3f84a1d9281635","cross_cats_sorted":["physics.bio-ph","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-24T13:33:56Z","title_canon_sha256":"f848541465ce0a46babb7e3445ed924f5f421a800d6c47e1343d4e797a6b3f94"},"schema_version":"1.0","source":{"id":"1008.4043","kind":"arxiv","version":1}},"canonical_sha256":"0a63f2b47e9df1584cff63e236653697e46cbc8789e64801eace36aaa6efd36e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a63f2b47e9df1584cff63e236653697e46cbc8789e64801eace36aaa6efd36e","first_computed_at":"2026-05-18T02:05:43.300599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:43.300599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XJNVAhHWKkkvbVXw9ZLOKLMB4/ptEyjLG+BH8AIiOKgixa3wNNzd1fUaeb3wLtSnJsVLUm2v9dwewNGoWdGkBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:43.301204Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:459c1a07d09ad5b93cc87db943e0441db2c74599132def0334415dd46614bb07","sha256:cce65b47d22bd55eae050c182259089fbbc08a1de677600120d7c9611e5aaa81"],"state_sha256":"db06e81c4e8ab77550557a1353960807bbbb85a54e4bd771352f17864e51091c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bD0t7RhjLM4T/Rvhmd37meH062qoqHpjB0XeFQ+IDXFGh1ra+MgVKHaxE7x2cEqaMimbvWoIZQrTZfEgUErBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:25:05.469075Z","bundle_sha256":"1339c9682d87620290de03ff44245ec4c55ec3ec4b645c4c881d3f2f42667469"}}