{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TFIWOXKDK6WB6V3TYMNICCNMXI","short_pith_number":"pith:TFIWOXKD","canonical_record":{"source":{"id":"1807.09629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-25T14:28:04Z","cross_cats_sorted":[],"title_canon_sha256":"2dd4ac23433491c27490bfa1eb543e6dbbfbf7233fa62addc5a42ced1cb389fd","abstract_canon_sha256":"ecd54d4e8cec9475dd1559e66e696d99a06b937d881634e8885e4cc5efbb8b83"},"schema_version":"1.0"},"canonical_sha256":"9951675d4357ac1f5773c31a8109acba1e8141f35607e8a266accb6c1ff4714b","source":{"kind":"arxiv","id":"1807.09629","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09629","created_at":"2026-05-17T23:56:20Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09629v2","created_at":"2026-05-17T23:56:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09629","created_at":"2026-05-17T23:56:20Z"},{"alias_kind":"pith_short_12","alias_value":"TFIWOXKDK6WB","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TFIWOXKDK6WB6V3T","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TFIWOXKD","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TFIWOXKDK6WB6V3TYMNICCNMXI","target":"record","payload":{"canonical_record":{"source":{"id":"1807.09629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-25T14:28:04Z","cross_cats_sorted":[],"title_canon_sha256":"2dd4ac23433491c27490bfa1eb543e6dbbfbf7233fa62addc5a42ced1cb389fd","abstract_canon_sha256":"ecd54d4e8cec9475dd1559e66e696d99a06b937d881634e8885e4cc5efbb8b83"},"schema_version":"1.0"},"canonical_sha256":"9951675d4357ac1f5773c31a8109acba1e8141f35607e8a266accb6c1ff4714b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:20.344020Z","signature_b64":"iwgW7/XxQV9mmWqc8uHlsF3RUX/JfEJyf3zjjDq0EgbaUAkIzXA8r2aGBvgC1rqCercc4j5Weldoxcf/Ay6rAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9951675d4357ac1f5773c31a8109acba1e8141f35607e8a266accb6c1ff4714b","last_reissued_at":"2026-05-17T23:56:20.343436Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:20.343436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.09629","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":"2026-05-17T23:56:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OOkS1EgTM9llDcC6Tdam7RbhIxrPc5at6I9J6sctf/DE5BEAlN9cXekfxx3TeRFTY1/W1UklF2PUCkYuQKfqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T19:30:33.467970Z"},"content_sha256":"3057bea10d2007cf723189800c7726d903f9c94509f9db81033a336dc7a08470","schema_version":"1.0","event_id":"sha256:3057bea10d2007cf723189800c7726d903f9c94509f9db81033a336dc7a08470"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TFIWOXKDK6WB6V3TYMNICCNMXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical complexity as a proxy for the network degree distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"A. Tlaie, I. Leyva, I. Sendi\\~na-Nadal, R. Sevilla-Escoboza, V.P. Vera-Avila","submitted_at":"2018-07-25T14:28:04Z","abstract_excerpt":"We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the nodes is found to be a function of their topological role, with nodes of higher degree displaying lower levels of complexity. We provide several examples of theoretical models of chaotic oscillators, pulse-coupled neurons and experimental networks of nonlinear electronic circuits evidencing such a hierarchical behavior. Importantly, our results imply that i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09629","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":"2026-05-17T23:56:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mvDsBKwghJkVHNpCQFUurbLz+kQmaVlhRpNuG7SPRzXKEvdEd7HqqQZGSB2GjLpFysAiQ85oF+FxexHUA31lDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T19:30:33.468645Z"},"content_sha256":"cad2c92e810aed63310ff431962eb041224fa8cd5872c8c163ee3e3577c704c1","schema_version":"1.0","event_id":"sha256:cad2c92e810aed63310ff431962eb041224fa8cd5872c8c163ee3e3577c704c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TFIWOXKDK6WB6V3TYMNICCNMXI/bundle.json","state_url":"https://pith.science/pith/TFIWOXKDK6WB6V3TYMNICCNMXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TFIWOXKDK6WB6V3TYMNICCNMXI/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":"2026-05-24T19:30:33Z","links":{"resolver":"https://pith.science/pith/TFIWOXKDK6WB6V3TYMNICCNMXI","bundle":"https://pith.science/pith/TFIWOXKDK6WB6V3TYMNICCNMXI/bundle.json","state":"https://pith.science/pith/TFIWOXKDK6WB6V3TYMNICCNMXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TFIWOXKDK6WB6V3TYMNICCNMXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TFIWOXKDK6WB6V3TYMNICCNMXI","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":"ecd54d4e8cec9475dd1559e66e696d99a06b937d881634e8885e4cc5efbb8b83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-25T14:28:04Z","title_canon_sha256":"2dd4ac23433491c27490bfa1eb543e6dbbfbf7233fa62addc5a42ced1cb389fd"},"schema_version":"1.0","source":{"id":"1807.09629","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09629","created_at":"2026-05-17T23:56:20Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09629v2","created_at":"2026-05-17T23:56:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09629","created_at":"2026-05-17T23:56:20Z"},{"alias_kind":"pith_short_12","alias_value":"TFIWOXKDK6WB","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TFIWOXKDK6WB6V3T","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TFIWOXKD","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:cad2c92e810aed63310ff431962eb041224fa8cd5872c8c163ee3e3577c704c1","target":"graph","created_at":"2026-05-17T23:56:20Z","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 the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the nodes is found to be a function of their topological role, with nodes of higher degree displaying lower levels of complexity. We provide several examples of theoretical models of chaotic oscillators, pulse-coupled neurons and experimental networks of nonlinear electronic circuits evidencing such a hierarchical behavior. Importantly, our results imply that i","authors_text":"A. Tlaie, I. Leyva, I. Sendi\\~na-Nadal, R. Sevilla-Escoboza, V.P. Vera-Avila","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-25T14:28:04Z","title":"Dynamical complexity as a proxy for the network degree distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09629","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":"sha256:3057bea10d2007cf723189800c7726d903f9c94509f9db81033a336dc7a08470","target":"record","created_at":"2026-05-17T23:56:20Z","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":"ecd54d4e8cec9475dd1559e66e696d99a06b937d881634e8885e4cc5efbb8b83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-25T14:28:04Z","title_canon_sha256":"2dd4ac23433491c27490bfa1eb543e6dbbfbf7233fa62addc5a42ced1cb389fd"},"schema_version":"1.0","source":{"id":"1807.09629","kind":"arxiv","version":2}},"canonical_sha256":"9951675d4357ac1f5773c31a8109acba1e8141f35607e8a266accb6c1ff4714b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9951675d4357ac1f5773c31a8109acba1e8141f35607e8a266accb6c1ff4714b","first_computed_at":"2026-05-17T23:56:20.343436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:20.343436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iwgW7/XxQV9mmWqc8uHlsF3RUX/JfEJyf3zjjDq0EgbaUAkIzXA8r2aGBvgC1rqCercc4j5Weldoxcf/Ay6rAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:20.344020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09629","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3057bea10d2007cf723189800c7726d903f9c94509f9db81033a336dc7a08470","sha256:cad2c92e810aed63310ff431962eb041224fa8cd5872c8c163ee3e3577c704c1"],"state_sha256":"e29149cc1288f5fc05248b6ec188b35c0a13bedecc11dca51b5d546d00422bb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qK7kyrFqGczHDv2jj2Z7VNhlbWFqNNDRcLZGJS4QmDbPTqJQTvTcGeFf3QPYgFrGZ/6um81TGOnB3zGYJ4DsBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T19:30:33.471806Z","bundle_sha256":"09522b25579a8e56c40bc0b0dc86dfd0c95478f047a77f77bfb4864bc5ea555c"}}