{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BPNPLU6QCTVUSAEOYZH6J4F47T","short_pith_number":"pith:BPNPLU6Q","canonical_record":{"source":{"id":"1703.06091","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-03-17T16:44:24Z","cross_cats_sorted":["math.CO","physics.data-an"],"title_canon_sha256":"7f7d018c3e564fd644de0ac490fcefa381ae63d74fdcb1c3a35487c7e126234e","abstract_canon_sha256":"a174b3a44c8891ff744bd03df6cbead02b1aa78774e6b4a4028a6cccc1d69a52"},"schema_version":"1.0"},"canonical_sha256":"0bdaf5d3d014eb49008ec64fe4f0bcfccc914217bb037aaf33647038aa7bcad2","source":{"kind":"arxiv","id":"1703.06091","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06091","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06091v2","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06091","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"pith_short_12","alias_value":"BPNPLU6QCTVU","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BPNPLU6QCTVUSAEO","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BPNPLU6Q","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BPNPLU6QCTVUSAEOYZH6J4F47T","target":"record","payload":{"canonical_record":{"source":{"id":"1703.06091","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-03-17T16:44:24Z","cross_cats_sorted":["math.CO","physics.data-an"],"title_canon_sha256":"7f7d018c3e564fd644de0ac490fcefa381ae63d74fdcb1c3a35487c7e126234e","abstract_canon_sha256":"a174b3a44c8891ff744bd03df6cbead02b1aa78774e6b4a4028a6cccc1d69a52"},"schema_version":"1.0"},"canonical_sha256":"0bdaf5d3d014eb49008ec64fe4f0bcfccc914217bb037aaf33647038aa7bcad2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:10.634015Z","signature_b64":"4ygCoyQTvvh3/ib9xRgV2vUPiLGG6qm+5VFlHPRy4Mz3a75VBwR5yUNVDQ78BhI3ayUTnHnDsFLV7cYlCFyzBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bdaf5d3d014eb49008ec64fe4f0bcfccc914217bb037aaf33647038aa7bcad2","last_reissued_at":"2026-05-18T00:35:10.633466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:10.633466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.06091","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":"2026-05-18T00:35:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PEM+65r3UuWZIsMnvvfioukK8fthTqTbAwxtxSdq3gU1ZayNI6BuRCERXVnmtoOokOSHE5xTO3IEH/l7OffECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:25:38.234177Z"},"content_sha256":"9ac2a842ffa649c403ad7f2fd6ffc45f54a16eecd94c784977197bb78e678208","schema_version":"1.0","event_id":"sha256:9ac2a842ffa649c403ad7f2fd6ffc45f54a16eecd94c784977197bb78e678208"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BPNPLU6QCTVUSAEOYZH6J4F47T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frequency-based brain networks: From a multiplex framework to a full multilayer description","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","physics.data-an"],"primary_cat":"q-bio.NC","authors_text":"Javier M. Buld\\'u, Mason A. Porter","submitted_at":"2017-03-17T16:44:24Z","abstract_excerpt":"We explore how to study dynamical interactions between brain regions using functional multilayer networks whose layers represent the different frequency bands at which a brain operates. Specifically, we investigate the consequences of considering the brain as a multilayer network in which all brain regions can interact with each other at different frequency bands, instead of as a multiplex network, in which interactions between different frequency bands are only allowed within each brain region and not between them. We study the second smallest eigenvalue of the combinatorial supra-Laplacian m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06091","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":"2026-05-18T00:35:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jV6nOCe3NJwHiQgJnLqJUXMewi6xS0w6c+Us8F2jksXxE1kuuG9oC9UJ+lbfeko2auVNuOX93WhlmFOl0C95DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:25:38.234577Z"},"content_sha256":"4aadd2b22cf3388e20c500c6a85edbbe373e6d0e7b99890295ec3794e3c140ae","schema_version":"1.0","event_id":"sha256:4aadd2b22cf3388e20c500c6a85edbbe373e6d0e7b99890295ec3794e3c140ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BPNPLU6QCTVUSAEOYZH6J4F47T/bundle.json","state_url":"https://pith.science/pith/BPNPLU6QCTVUSAEOYZH6J4F47T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BPNPLU6QCTVUSAEOYZH6J4F47T/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":"2026-05-25T22:25:38Z","links":{"resolver":"https://pith.science/pith/BPNPLU6QCTVUSAEOYZH6J4F47T","bundle":"https://pith.science/pith/BPNPLU6QCTVUSAEOYZH6J4F47T/bundle.json","state":"https://pith.science/pith/BPNPLU6QCTVUSAEOYZH6J4F47T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BPNPLU6QCTVUSAEOYZH6J4F47T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BPNPLU6QCTVUSAEOYZH6J4F47T","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":"a174b3a44c8891ff744bd03df6cbead02b1aa78774e6b4a4028a6cccc1d69a52","cross_cats_sorted":["math.CO","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-03-17T16:44:24Z","title_canon_sha256":"7f7d018c3e564fd644de0ac490fcefa381ae63d74fdcb1c3a35487c7e126234e"},"schema_version":"1.0","source":{"id":"1703.06091","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06091","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06091v2","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06091","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"pith_short_12","alias_value":"BPNPLU6QCTVU","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BPNPLU6QCTVUSAEO","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BPNPLU6Q","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:4aadd2b22cf3388e20c500c6a85edbbe373e6d0e7b99890295ec3794e3c140ae","target":"graph","created_at":"2026-05-18T00:35:10Z","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 explore how to study dynamical interactions between brain regions using functional multilayer networks whose layers represent the different frequency bands at which a brain operates. Specifically, we investigate the consequences of considering the brain as a multilayer network in which all brain regions can interact with each other at different frequency bands, instead of as a multiplex network, in which interactions between different frequency bands are only allowed within each brain region and not between them. We study the second smallest eigenvalue of the combinatorial supra-Laplacian m","authors_text":"Javier M. Buld\\'u, Mason A. Porter","cross_cats":["math.CO","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-03-17T16:44:24Z","title":"Frequency-based brain networks: From a multiplex framework to a full multilayer description"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06091","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":"sha256:9ac2a842ffa649c403ad7f2fd6ffc45f54a16eecd94c784977197bb78e678208","target":"record","created_at":"2026-05-18T00:35:10Z","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":"a174b3a44c8891ff744bd03df6cbead02b1aa78774e6b4a4028a6cccc1d69a52","cross_cats_sorted":["math.CO","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-03-17T16:44:24Z","title_canon_sha256":"7f7d018c3e564fd644de0ac490fcefa381ae63d74fdcb1c3a35487c7e126234e"},"schema_version":"1.0","source":{"id":"1703.06091","kind":"arxiv","version":2}},"canonical_sha256":"0bdaf5d3d014eb49008ec64fe4f0bcfccc914217bb037aaf33647038aa7bcad2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bdaf5d3d014eb49008ec64fe4f0bcfccc914217bb037aaf33647038aa7bcad2","first_computed_at":"2026-05-18T00:35:10.633466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:10.633466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4ygCoyQTvvh3/ib9xRgV2vUPiLGG6qm+5VFlHPRy4Mz3a75VBwR5yUNVDQ78BhI3ayUTnHnDsFLV7cYlCFyzBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:10.634015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.06091","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ac2a842ffa649c403ad7f2fd6ffc45f54a16eecd94c784977197bb78e678208","sha256:4aadd2b22cf3388e20c500c6a85edbbe373e6d0e7b99890295ec3794e3c140ae"],"state_sha256":"364911d71f9b627e2886a36a48cb68a0fe5b02c5872c6e6a0627519b61b10e77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gho25rObz5z89+ggROGmMNXMo+jv4S3uukap8hSogBpJcW/hpZ+VBsTMK3XdPnuI+cfp37B9ZsqkSOkLCb6ECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:25:38.237691Z","bundle_sha256":"d5ea067e7ae2daa5b32fbf92804107e8c16538c4f69c9d30c0fe9a6eb8430c9b"}}