{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3DOHCLDKNHTDVITLLPN5EGCJBZ","short_pith_number":"pith:3DOHCLDK","canonical_record":{"source":{"id":"1802.06250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-02-17T15:35:56Z","cross_cats_sorted":[],"title_canon_sha256":"482a9fdc584ef6de066ce189bccab5af86e9cd54f38c0360148559d136e668f7","abstract_canon_sha256":"553636ce889d4de6bbb35a3e3317fd772df70beb3795aa08914217fbc8cec91d"},"schema_version":"1.0"},"canonical_sha256":"d8dc712c6a69e63aa26b5bdbd218490e68bf044aa05491f80ea928ff0d3a8b20","source":{"kind":"arxiv","id":"1802.06250","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.06250","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1802.06250v1","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06250","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"3DOHCLDKNHTD","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DOHCLDKNHTDVITL","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DOHCLDK","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3DOHCLDKNHTDVITLLPN5EGCJBZ","target":"record","payload":{"canonical_record":{"source":{"id":"1802.06250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-02-17T15:35:56Z","cross_cats_sorted":[],"title_canon_sha256":"482a9fdc584ef6de066ce189bccab5af86e9cd54f38c0360148559d136e668f7","abstract_canon_sha256":"553636ce889d4de6bbb35a3e3317fd772df70beb3795aa08914217fbc8cec91d"},"schema_version":"1.0"},"canonical_sha256":"d8dc712c6a69e63aa26b5bdbd218490e68bf044aa05491f80ea928ff0d3a8b20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:03.904366Z","signature_b64":"dYo6pPpuxbDwJ4Y7Gl0NQJ90qHwKVb2lkdpJeP/ReM9Ojexk7VM/sutYnyScCC+HcLFlq6HYdXbXStddWbBIDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8dc712c6a69e63aa26b5bdbd218490e68bf044aa05491f80ea928ff0d3a8b20","last_reissued_at":"2026-05-18T00:23:03.903624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:03.903624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.06250","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CHuONgZ8BQNHV3J5zh+dMqPU3ewzQ62iVoutFXqaBlPa9NthRAjJhC5NbN99tocFvX0O0Dk9dp/NZ87I4KsxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:08:13.986991Z"},"content_sha256":"f02c7e98203e5a8a0ef82158f3b0761ab11119f4683756bb50d3f8ba8ce3fa0f","schema_version":"1.0","event_id":"sha256:f02c7e98203e5a8a0ef82158f3b0761ab11119f4683756bb50d3f8ba8ce3fa0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3DOHCLDKNHTDVITLLPN5EGCJBZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"First-order bifurcation detection for dynamic complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Alfred Hero, Indika Rajapakse, Pin-Yu Chen, Sijia Liu","submitted_at":"2018-02-17T15:35:56Z","abstract_excerpt":"In this paper, we explore how network centrality and network entropy can be used to identify a bifurcation network event. A bifurcation often occurs when a network undergoes a qualitative change in its structure as a response to internal changes or external signals. In this paper, we show that network centrality allows us to capture important topological properties of dynamic networks. By extracting multiple centrality features from a network for dimensionality reduction, we are able to track the network dynamics underlying an intrinsic low-dimensional manifold. Moreover, we employ von Neumann"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06250","kind":"arxiv","version":1},"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":"2026-05-18T00:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Q+cylz0oE1LqSh3kQa8nE+Q6fXPukVn8ECiHxGI6wXBOmY5qmkUlNi1KKSMqLwghZngOT9fW4K7qCcI46xuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:08:13.987720Z"},"content_sha256":"c494080b8e89f694ad7ecd6e62f7da28db251b1ea90866da5080cb8f34181423","schema_version":"1.0","event_id":"sha256:c494080b8e89f694ad7ecd6e62f7da28db251b1ea90866da5080cb8f34181423"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3DOHCLDKNHTDVITLLPN5EGCJBZ/bundle.json","state_url":"https://pith.science/pith/3DOHCLDKNHTDVITLLPN5EGCJBZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3DOHCLDKNHTDVITLLPN5EGCJBZ/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":"2026-05-29T15:08:13Z","links":{"resolver":"https://pith.science/pith/3DOHCLDKNHTDVITLLPN5EGCJBZ","bundle":"https://pith.science/pith/3DOHCLDKNHTDVITLLPN5EGCJBZ/bundle.json","state":"https://pith.science/pith/3DOHCLDKNHTDVITLLPN5EGCJBZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3DOHCLDKNHTDVITLLPN5EGCJBZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3DOHCLDKNHTDVITLLPN5EGCJBZ","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":"553636ce889d4de6bbb35a3e3317fd772df70beb3795aa08914217fbc8cec91d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-02-17T15:35:56Z","title_canon_sha256":"482a9fdc584ef6de066ce189bccab5af86e9cd54f38c0360148559d136e668f7"},"schema_version":"1.0","source":{"id":"1802.06250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.06250","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1802.06250v1","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06250","created_at":"2026-05-18T00:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"3DOHCLDKNHTD","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DOHCLDKNHTDVITL","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DOHCLDK","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:c494080b8e89f694ad7ecd6e62f7da28db251b1ea90866da5080cb8f34181423","target":"graph","created_at":"2026-05-18T00:23:03Z","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":"In this paper, we explore how network centrality and network entropy can be used to identify a bifurcation network event. A bifurcation often occurs when a network undergoes a qualitative change in its structure as a response to internal changes or external signals. In this paper, we show that network centrality allows us to capture important topological properties of dynamic networks. By extracting multiple centrality features from a network for dimensionality reduction, we are able to track the network dynamics underlying an intrinsic low-dimensional manifold. Moreover, we employ von Neumann","authors_text":"Alfred Hero, Indika Rajapakse, Pin-Yu Chen, Sijia Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-02-17T15:35:56Z","title":"First-order bifurcation detection for dynamic complex networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06250","kind":"arxiv","version":1},"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:f02c7e98203e5a8a0ef82158f3b0761ab11119f4683756bb50d3f8ba8ce3fa0f","target":"record","created_at":"2026-05-18T00:23:03Z","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":"553636ce889d4de6bbb35a3e3317fd772df70beb3795aa08914217fbc8cec91d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-02-17T15:35:56Z","title_canon_sha256":"482a9fdc584ef6de066ce189bccab5af86e9cd54f38c0360148559d136e668f7"},"schema_version":"1.0","source":{"id":"1802.06250","kind":"arxiv","version":1}},"canonical_sha256":"d8dc712c6a69e63aa26b5bdbd218490e68bf044aa05491f80ea928ff0d3a8b20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8dc712c6a69e63aa26b5bdbd218490e68bf044aa05491f80ea928ff0d3a8b20","first_computed_at":"2026-05-18T00:23:03.903624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:03.903624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dYo6pPpuxbDwJ4Y7Gl0NQJ90qHwKVb2lkdpJeP/ReM9Ojexk7VM/sutYnyScCC+HcLFlq6HYdXbXStddWbBIDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:03.904366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.06250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f02c7e98203e5a8a0ef82158f3b0761ab11119f4683756bb50d3f8ba8ce3fa0f","sha256:c494080b8e89f694ad7ecd6e62f7da28db251b1ea90866da5080cb8f34181423"],"state_sha256":"368d420dfb617e1084f76260e1d923686fc829268668d159144ff3809db931f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"udunqRH9DivqqZkkUaCGRmj0KtFmWFSUfHZWOrGrjZ/FYrgDIGddJ5sh0Fe6lnG+8UZzhIwAcUEMRmRSwvA2CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:08:13.991609Z","bundle_sha256":"904e0cadac14f6ac3b76ea31f7ff1c15b3fd02612e7a935feac8843b6404279b"}}