{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:I22Z64GNIVUGJJGDH2KXKOGWDI","short_pith_number":"pith:I22Z64GN","canonical_record":{"source":{"id":"1605.07383","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-05-24T11:22:08Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"569baeae3a485e66fad5314a0e0384f6dc63869c5a29c82670e270cc4286d48c","abstract_canon_sha256":"be53c8986d3106b620fe74b83a96a5496fb84c422ca2566ca27393db618e0aa9"},"schema_version":"1.0"},"canonical_sha256":"46b59f70cd456864a4c33e957538d61a02dcb80302a99eb8e2f20be0c8ec6543","source":{"kind":"arxiv","id":"1605.07383","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07383","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07383v2","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07383","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"I22Z64GNIVUG","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I22Z64GNIVUGJJGD","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I22Z64GN","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:I22Z64GNIVUGJJGDH2KXKOGWDI","target":"record","payload":{"canonical_record":{"source":{"id":"1605.07383","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-05-24T11:22:08Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"569baeae3a485e66fad5314a0e0384f6dc63869c5a29c82670e270cc4286d48c","abstract_canon_sha256":"be53c8986d3106b620fe74b83a96a5496fb84c422ca2566ca27393db618e0aa9"},"schema_version":"1.0"},"canonical_sha256":"46b59f70cd456864a4c33e957538d61a02dcb80302a99eb8e2f20be0c8ec6543","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:37.388681Z","signature_b64":"hxgI3bjYncdkyBF5QLYQWvtNhnM2RzKmcNa6AUgcYZ9WgoaITupoMWe5TTrPj2rPA2X5CsXJvBEwrtgjOB/vBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46b59f70cd456864a4c33e957538d61a02dcb80302a99eb8e2f20be0c8ec6543","last_reissued_at":"2026-05-18T01:13:37.388063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:37.388063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.07383","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3L+mJ3ZoiSiWi9nQKFYr5SNekb2lWltych8w44z88xbKtj8x/wbzIBxPHfcbgP44MuFuCJ3gdLxhAOxdGmREAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:01:41.645489Z"},"content_sha256":"f95c12881780eec29c5fbbc52233d308ec92c3af0e1ce2071800000aefc444c2","schema_version":"1.0","event_id":"sha256:f95c12881780eec29c5fbbc52233d308ec92c3af0e1ce2071800000aefc444c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:I22Z64GNIVUGJJGDH2KXKOGWDI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Local Chaos to Critical Slowing Down: A Theory of the Functional Connectivity of Small Neural Circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.NC","authors_text":"Anna Cattani, Diego Fasoli, Stefano Panzeri","submitted_at":"2016-05-24T11:22:08Z","abstract_excerpt":"Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of mesoscopic networks composed of a few tens of neurons affect the functional connectivity is still to be formulated. Yet, many interesting problems in neuroscience involve the study of networks composed of a small number of neurons. Based on a recent study of the dynamics of small neural circuits, we combine the analysis of local bifurcations of multi-populatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07383","kind":"arxiv","version":2},"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":"2026-05-18T01:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xn7syQLW1DZqCIQ9qfJqjfluy3CC2m/xTn+A/PUqpifwiDYnmWpfUqgUGVlsc8TnBFaAgfMRzHiGlso3YOXfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:01:41.645844Z"},"content_sha256":"32caacdbd9287d0408853bdf232bca00be2df936e43f19644b213cbfc9bea2ec","schema_version":"1.0","event_id":"sha256:32caacdbd9287d0408853bdf232bca00be2df936e43f19644b213cbfc9bea2ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I22Z64GNIVUGJJGDH2KXKOGWDI/bundle.json","state_url":"https://pith.science/pith/I22Z64GNIVUGJJGDH2KXKOGWDI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I22Z64GNIVUGJJGDH2KXKOGWDI/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":"2026-06-01T20:01:41Z","links":{"resolver":"https://pith.science/pith/I22Z64GNIVUGJJGDH2KXKOGWDI","bundle":"https://pith.science/pith/I22Z64GNIVUGJJGDH2KXKOGWDI/bundle.json","state":"https://pith.science/pith/I22Z64GNIVUGJJGDH2KXKOGWDI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I22Z64GNIVUGJJGDH2KXKOGWDI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:I22Z64GNIVUGJJGDH2KXKOGWDI","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":"be53c8986d3106b620fe74b83a96a5496fb84c422ca2566ca27393db618e0aa9","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-05-24T11:22:08Z","title_canon_sha256":"569baeae3a485e66fad5314a0e0384f6dc63869c5a29c82670e270cc4286d48c"},"schema_version":"1.0","source":{"id":"1605.07383","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07383","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07383v2","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07383","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"I22Z64GNIVUG","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I22Z64GNIVUGJJGD","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I22Z64GN","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:32caacdbd9287d0408853bdf232bca00be2df936e43f19644b213cbfc9bea2ec","target":"graph","created_at":"2026-05-18T01:13:37Z","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":"Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of mesoscopic networks composed of a few tens of neurons affect the functional connectivity is still to be formulated. Yet, many interesting problems in neuroscience involve the study of networks composed of a small number of neurons. Based on a recent study of the dynamics of small neural circuits, we combine the analysis of local bifurcations of multi-populatio","authors_text":"Anna Cattani, Diego Fasoli, Stefano Panzeri","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-05-24T11:22:08Z","title":"From Local Chaos to Critical Slowing Down: A Theory of the Functional Connectivity of Small Neural Circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07383","kind":"arxiv","version":2},"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:f95c12881780eec29c5fbbc52233d308ec92c3af0e1ce2071800000aefc444c2","target":"record","created_at":"2026-05-18T01:13:37Z","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":"be53c8986d3106b620fe74b83a96a5496fb84c422ca2566ca27393db618e0aa9","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-05-24T11:22:08Z","title_canon_sha256":"569baeae3a485e66fad5314a0e0384f6dc63869c5a29c82670e270cc4286d48c"},"schema_version":"1.0","source":{"id":"1605.07383","kind":"arxiv","version":2}},"canonical_sha256":"46b59f70cd456864a4c33e957538d61a02dcb80302a99eb8e2f20be0c8ec6543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46b59f70cd456864a4c33e957538d61a02dcb80302a99eb8e2f20be0c8ec6543","first_computed_at":"2026-05-18T01:13:37.388063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:37.388063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hxgI3bjYncdkyBF5QLYQWvtNhnM2RzKmcNa6AUgcYZ9WgoaITupoMWe5TTrPj2rPA2X5CsXJvBEwrtgjOB/vBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:37.388681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07383","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f95c12881780eec29c5fbbc52233d308ec92c3af0e1ce2071800000aefc444c2","sha256:32caacdbd9287d0408853bdf232bca00be2df936e43f19644b213cbfc9bea2ec"],"state_sha256":"c3d1ccfc77da4a5b0a34fc0ed23054715c0976af921b29a41b704e2d16440e32"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NM/KqTjtxhPYmqxNlspg2w8KRh+zT5kvm1Ba2hkBp3u2PJJYKt+szPE6mv2erjc58NHFHCtzPXXqhXPkaUuADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:01:41.647843Z","bundle_sha256":"b30a60964b2eee83ee38b7c378c422eaab905dddfd9c6df89f331df9aea2dd43"}}