{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IHGVKAGSAGG6NI45ICF7DJFFBH","short_pith_number":"pith:IHGVKAGS","schema_version":"1.0","canonical_sha256":"41cd5500d2018de6a39d408bf1a4a509ef44a5966622eab04fdde16805ef3952","source":{"kind":"arxiv","id":"1809.08285","version":2},"attestation_state":"computed","paper":{"title":"Spectral dimension reduction of complex dynamical networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Edward Laurence, Louis J Dub\\'e, Nicolas Doyon, Patrick Desrosiers","submitted_at":"2018-09-21T19:52:17Z","abstract_excerpt":"Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve (nodes' dynamics). Despite substantial progress, little is known about why some subtle changes in the network structure, at the so-called critical points, can provoke drastic shifts in its dynamics. We tackle this challenging problem by introducing a method that reduces any network to a simplified low-dimensional version. It can then be used to describe the"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.08285","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-21T19:52:17Z","cross_cats_sorted":[],"title_canon_sha256":"eb56082d45de63873ae4d02743ccd368673a6e4787e2da7e366eeefb5811d18f","abstract_canon_sha256":"fb98afe54cad7c611e676ffc4a230d128c2add80ba0b37f400ebbf5a93bb7c7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:33.230457Z","signature_b64":"775uHzvbkRt9VbR+OEHvW23Qvn2vZU/pl1lvPbu1W8OQlunBu2WSVAIetTYopymA7kYXikpHFGYec2NDeqMBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41cd5500d2018de6a39d408bf1a4a509ef44a5966622eab04fdde16805ef3952","last_reissued_at":"2026-05-17T23:51:33.229940Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:33.229940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral dimension reduction of complex dynamical networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Edward Laurence, Louis J Dub\\'e, Nicolas Doyon, Patrick Desrosiers","submitted_at":"2018-09-21T19:52:17Z","abstract_excerpt":"Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve (nodes' dynamics). Despite substantial progress, little is known about why some subtle changes in the network structure, at the so-called critical points, can provoke drastic shifts in its dynamics. We tackle this challenging problem by introducing a method that reduces any network to a simplified low-dimensional version. It can then be used to describe the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08285","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.08285","created_at":"2026-05-17T23:51:33.230005+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.08285v2","created_at":"2026-05-17T23:51:33.230005+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08285","created_at":"2026-05-17T23:51:33.230005+00:00"},{"alias_kind":"pith_short_12","alias_value":"IHGVKAGSAGG6","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"IHGVKAGSAGG6NI45","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"IHGVKAGS","created_at":"2026-05-18T12:32:28.185984+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH","json":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH.json","graph_json":"https://pith.science/api/pith-number/IHGVKAGSAGG6NI45ICF7DJFFBH/graph.json","events_json":"https://pith.science/api/pith-number/IHGVKAGSAGG6NI45ICF7DJFFBH/events.json","paper":"https://pith.science/paper/IHGVKAGS"},"agent_actions":{"view_html":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH","download_json":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH.json","view_paper":"https://pith.science/paper/IHGVKAGS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.08285&json=true","fetch_graph":"https://pith.science/api/pith-number/IHGVKAGSAGG6NI45ICF7DJFFBH/graph.json","fetch_events":"https://pith.science/api/pith-number/IHGVKAGSAGG6NI45ICF7DJFFBH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH/action/storage_attestation","attest_author":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH/action/author_attestation","sign_citation":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH/action/citation_signature","submit_replication":"https://pith.science/pith/IHGVKAGSAGG6NI45ICF7DJFFBH/action/replication_record"}},"created_at":"2026-05-17T23:51:33.230005+00:00","updated_at":"2026-05-17T23:51:33.230005+00:00"}