{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CIVZ7AQJHOSJNT35NO3CQVG77W","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":"c2bf9bed867d788b7573579735f304c86e6dc9bf17f65da96c0f63586fc46f3a","cross_cats_sorted":["nlin.CD","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-23T21:58:07Z","title_canon_sha256":"e90adf9229ce9a34e965b8bfbe4d4615d5d813b7deccdc7342d9ce389b3a389b"},"schema_version":"1.0","source":{"id":"1306.5479","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5479","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5479v2","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5479","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"CIVZ7AQJHOSJ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CIVZ7AQJHOSJNT35","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CIVZ7AQJ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:1ffdaa5fda265f8633e9d9b0a3132d61140fc61ba11b6126131505a280707f73","target":"graph","created_at":"2026-05-18T01:49:08Z","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 study the temporal co-variation of network co-evolution via the cross-link structure of networks, for which we take advantage of the formalism of hypergraphs to map cross-link structures back to network nodes. We investigate two sets of temporal network data in detail. In a network of coupled nonlinear oscillators, hyperedges that consist of network edges with temporally co-varying weights uncover the driving co-evolution patterns of edge weight dynamics both within and between oscillator communities. In the human brain, networks that represent temporal changes in brain activity during lear","authors_text":"Danielle S. Bassett, Mason A. Porter, Nicholas F. Wymbs, Peter J. Mucha, Scott T. Grafton","cross_cats":["nlin.CD","q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-23T21:58:07Z","title":"Cross-Linked Structure of Network Evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5479","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":"sha256:493429dd201d8dda4b98f065c420665afe75a0917857270d9342cae1010510f1","target":"record","created_at":"2026-05-18T01:49:08Z","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":"c2bf9bed867d788b7573579735f304c86e6dc9bf17f65da96c0f63586fc46f3a","cross_cats_sorted":["nlin.CD","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-06-23T21:58:07Z","title_canon_sha256":"e90adf9229ce9a34e965b8bfbe4d4615d5d813b7deccdc7342d9ce389b3a389b"},"schema_version":"1.0","source":{"id":"1306.5479","kind":"arxiv","version":2}},"canonical_sha256":"122b9f82093ba496cf7d6bb62854dffd9f037c38ab02d240dbbff48f45dac365","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"122b9f82093ba496cf7d6bb62854dffd9f037c38ab02d240dbbff48f45dac365","first_computed_at":"2026-05-18T01:49:08.960467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:08.960467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rgqr9D4hcZv84ATlEZsJnME820018J50peUhCZOAfIXf8hW0NHmhNWnVKaDGIJ1aJwRM9oxiJ19KnlPxiF7sDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:08.961120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5479","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:493429dd201d8dda4b98f065c420665afe75a0917857270d9342cae1010510f1","sha256:1ffdaa5fda265f8633e9d9b0a3132d61140fc61ba11b6126131505a280707f73"],"state_sha256":"73df756972e920ba84114f7071bbdbd7dfc438c877abca12f3f10b8d49b1621a"}