{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:DXZ5YC22H4DFEJY2QTUQIBKGMS","short_pith_number":"pith:DXZ5YC22","canonical_record":{"source":{"id":"1906.06366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-06-14T18:46:12Z","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","physics.soc-ph"],"title_canon_sha256":"2abbd08fbd43e4b2a4f8d4dbe9e5af96b4f0cd1d1b70d921bea35e73a65bfa6e","abstract_canon_sha256":"65bec602ca4605c55da742f707250d24e45c6c65d7419d829d2e8e65d3f6574e"},"schema_version":"1.0"},"canonical_sha256":"1df3dc0b5a3f0652271a84e9040546649fd1acc54f6bedb23721349e2f9858ed","source":{"kind":"arxiv","id":"1906.06366","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06366","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06366v2","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06366","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"pith_short_12","alias_value":"DXZ5YC22H4DF","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"pith_short_16","alias_value":"DXZ5YC22H4DFEJY2","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"pith_short_8","alias_value":"DXZ5YC22","created_at":"2026-07-05T00:05:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:DXZ5YC22H4DFEJY2QTUQIBKGMS","target":"record","payload":{"canonical_record":{"source":{"id":"1906.06366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-06-14T18:46:12Z","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","physics.soc-ph"],"title_canon_sha256":"2abbd08fbd43e4b2a4f8d4dbe9e5af96b4f0cd1d1b70d921bea35e73a65bfa6e","abstract_canon_sha256":"65bec602ca4605c55da742f707250d24e45c6c65d7419d829d2e8e65d3f6574e"},"schema_version":"1.0"},"canonical_sha256":"1df3dc0b5a3f0652271a84e9040546649fd1acc54f6bedb23721349e2f9858ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:05:34.802516Z","signature_b64":"OmawWmVM0m8qwGJrx46wCyuA8gr3sbyavd83tbdJaXBjkGRfeCnegoHEdQWenz1CdM8sikhh6fGg7B0iwNb3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1df3dc0b5a3f0652271a84e9040546649fd1acc54f6bedb23721349e2f9858ed","last_reissued_at":"2026-07-05T00:05:34.802150Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:05:34.802150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.06366","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":"2026-07-05T00:05:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kXIU4Zfto08znb84yLJJCJBb7VciG9HldAsZ+A0CwLF2BePPyhyHRk161WsNgx8/coueoFYZhcZRSKInJfgfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T10:10:02.031345Z"},"content_sha256":"44a26233dfa956750dd070ac84214864ba24c25f32b5b3aac14de64a3e925135","schema_version":"1.0","event_id":"sha256:44a26233dfa956750dd070ac84214864ba24c25f32b5b3aac14de64a3e925135"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:DXZ5YC22H4DFEJY2QTUQIBKGMS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supracentrality Analysis of Temporal Networks with Directed Interlayer Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.data-an","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Dane Taylor, Mason A. Porter, Peter J. Mucha","submitted_at":"2019-06-14T18:46:12Z","abstract_excerpt":"We describe centralities in temporal networks using a supracentrality framework to study centrality trajectories, which characterize how the importances of nodes change in time. We study supracentrality generalizations of eigenvector-based centralities, a family of centrality measures for time-independent networks that includes PageRank, hub and authority scores, and eigenvector centrality. We start with a sequence of adjacency matrices, each of which represents a time layer of a network at a different point or interval of time. Coupling centrality matrices across time layers with weighted int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06366","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1906.06366/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:05:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Fm8sE+QjLxEHBlQGOpJJ34jfIxr20SCzYpHm7UAfcQypovdMKbVkCL93V/KJ/mejBnHpnyJOhjWIBYK6wnZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T10:10:02.031734Z"},"content_sha256":"0f11d26762e60965a54f5445d2d485d19479cd744bf947503834d6f1ab19fa86","schema_version":"1.0","event_id":"sha256:0f11d26762e60965a54f5445d2d485d19479cd744bf947503834d6f1ab19fa86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DXZ5YC22H4DFEJY2QTUQIBKGMS/bundle.json","state_url":"https://pith.science/pith/DXZ5YC22H4DFEJY2QTUQIBKGMS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DXZ5YC22H4DFEJY2QTUQIBKGMS/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":"2026-07-17T10:10:02Z","links":{"resolver":"https://pith.science/pith/DXZ5YC22H4DFEJY2QTUQIBKGMS","bundle":"https://pith.science/pith/DXZ5YC22H4DFEJY2QTUQIBKGMS/bundle.json","state":"https://pith.science/pith/DXZ5YC22H4DFEJY2QTUQIBKGMS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DXZ5YC22H4DFEJY2QTUQIBKGMS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DXZ5YC22H4DFEJY2QTUQIBKGMS","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":"65bec602ca4605c55da742f707250d24e45c6c65d7419d829d2e8e65d3f6574e","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-06-14T18:46:12Z","title_canon_sha256":"2abbd08fbd43e4b2a4f8d4dbe9e5af96b4f0cd1d1b70d921bea35e73a65bfa6e"},"schema_version":"1.0","source":{"id":"1906.06366","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06366","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06366v2","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06366","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"pith_short_12","alias_value":"DXZ5YC22H4DF","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"pith_short_16","alias_value":"DXZ5YC22H4DFEJY2","created_at":"2026-07-05T00:05:34Z"},{"alias_kind":"pith_short_8","alias_value":"DXZ5YC22","created_at":"2026-07-05T00:05:34Z"}],"graph_snapshots":[{"event_id":"sha256:0f11d26762e60965a54f5445d2d485d19479cd744bf947503834d6f1ab19fa86","target":"graph","created_at":"2026-07-05T00:05:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1906.06366/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe centralities in temporal networks using a supracentrality framework to study centrality trajectories, which characterize how the importances of nodes change in time. We study supracentrality generalizations of eigenvector-based centralities, a family of centrality measures for time-independent networks that includes PageRank, hub and authority scores, and eigenvector centrality. We start with a sequence of adjacency matrices, each of which represents a time layer of a network at a different point or interval of time. Coupling centrality matrices across time layers with weighted int","authors_text":"Dane Taylor, Mason A. Porter, Peter J. Mucha","cross_cats":["cs.NA","math.NA","physics.data-an","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-06-14T18:46:12Z","title":"Supracentrality Analysis of Temporal Networks with Directed Interlayer Coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06366","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":"sha256:44a26233dfa956750dd070ac84214864ba24c25f32b5b3aac14de64a3e925135","target":"record","created_at":"2026-07-05T00:05:34Z","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":"65bec602ca4605c55da742f707250d24e45c6c65d7419d829d2e8e65d3f6574e","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2019-06-14T18:46:12Z","title_canon_sha256":"2abbd08fbd43e4b2a4f8d4dbe9e5af96b4f0cd1d1b70d921bea35e73a65bfa6e"},"schema_version":"1.0","source":{"id":"1906.06366","kind":"arxiv","version":2}},"canonical_sha256":"1df3dc0b5a3f0652271a84e9040546649fd1acc54f6bedb23721349e2f9858ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1df3dc0b5a3f0652271a84e9040546649fd1acc54f6bedb23721349e2f9858ed","first_computed_at":"2026-07-05T00:05:34.802150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:05:34.802150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OmawWmVM0m8qwGJrx46wCyuA8gr3sbyavd83tbdJaXBjkGRfeCnegoHEdQWenz1CdM8sikhh6fGg7B0iwNb3Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:05:34.802516Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.06366","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44a26233dfa956750dd070ac84214864ba24c25f32b5b3aac14de64a3e925135","sha256:0f11d26762e60965a54f5445d2d485d19479cd744bf947503834d6f1ab19fa86"],"state_sha256":"bedcfb2d78bb4da401c8b77dbb5b8d33630be7b7a8e2745aa93b947efb2f7126"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f8LYgjNf/N2t0b0nagBTc1f0wNLc8EWfB/nc9yOkp//SV77g8XBbdENwKlJ3In/LV8ruki7UqkEIOhUcNYO9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T10:10:02.033834Z","bundle_sha256":"ab1c4dd7d63dd5aefbe363b643067eeaf55da8035f889b413a023e75fd891795"}}