{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6IKUVK6VMC6OLQ3IZFHL2I3V2C","short_pith_number":"pith:6IKUVK6V","canonical_record":{"source":{"id":"1504.00241","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-04-01T14:16:10Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"a5b75587d5c9771694dd5c5a5d3af1e56fd7652d14289af8449ca95584ec4c90","abstract_canon_sha256":"e522b4a244f4aa66bd2a7548c3efe8aa80c5230df1aaa062b8b2d6db6f180fa4"},"schema_version":"1.0"},"canonical_sha256":"f2154aabd560bce5c368c94ebd2375d0848378c9a196da78f76a7122f2e695fc","source":{"kind":"arxiv","id":"1504.00241","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00241","created_at":"2026-05-18T01:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00241v3","created_at":"2026-05-18T01:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00241","created_at":"2026-05-18T01:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"6IKUVK6VMC6O","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6IKUVK6VMC6OLQ3I","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6IKUVK6V","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6IKUVK6VMC6OLQ3IZFHL2I3V2C","target":"record","payload":{"canonical_record":{"source":{"id":"1504.00241","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-04-01T14:16:10Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"a5b75587d5c9771694dd5c5a5d3af1e56fd7652d14289af8449ca95584ec4c90","abstract_canon_sha256":"e522b4a244f4aa66bd2a7548c3efe8aa80c5230df1aaa062b8b2d6db6f180fa4"},"schema_version":"1.0"},"canonical_sha256":"f2154aabd560bce5c368c94ebd2375d0848378c9a196da78f76a7122f2e695fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:00.387995Z","signature_b64":"mwQoabqp5HtAQnjfj+6hr+FsriJblgyhHeDtuJEecEAOy29VPs+cIHkZYI84KVDsgfFwle6UsGxQgqRgtebnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2154aabd560bce5c368c94ebd2375d0848378c9a196da78f76a7122f2e695fc","last_reissued_at":"2026-05-18T01:04:00.387386Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:00.387386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.00241","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:04:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jFGbLD3gJjSKdT+p03Nujl7JFM1zPso90pGsbHfyQZZuEpdeSBOoTugG0LXsKAFzYmgZtwSXFOqouDBp/ZfGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:23:10.666562Z"},"content_sha256":"189bf319872c7d7bca2b8ce2dcf9a679055656ad7d3159bdbd31390a4c4d55ab","schema_version":"1.0","event_id":"sha256:189bf319872c7d7bca2b8ce2dcf9a679055656ad7d3159bdbd31390a4c4d55ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6IKUVK6VMC6OLQ3IZFHL2I3V2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time Centrality in Dynamic Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Alex Borges Vieira, Ana Paula Couto da Silva, Artur Ziviani, Eduardo Chinelate Costa, Klaus Wehmuth","submitted_at":"2015-04-01T14:16:10Z","abstract_excerpt":"There is an ever-increasing interest in investigating dynamics in time-varying graphs (TVGs). Nevertheless, so far, the notion of centrality in TVG scenarios usually refers to metrics that assess the relative importance of nodes along the temporal evolution of the dynamic complex network. For some TVG scenarios, however, more important than identifying the central nodes under a given node centrality definition is identifying the key time instants for taking certain actions. In this paper, we thus introduce and investigate the notion of time centrality in TVGs. Analogously to node centrality, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00241","kind":"arxiv","version":3},"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":"2026-05-18T01:04:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFGY2mFoqG+HYqKWuMYTw12m208T7y20YP2/ZfxWJ2Wk7ELf8vRgxccJWwwM+LRvClgAZHV5sQQzduXBBd07Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:23:10.667148Z"},"content_sha256":"cff6a4eeb4ed09de180c23cc1efddaaee9228f4fa2327e0307246f08320b3238","schema_version":"1.0","event_id":"sha256:cff6a4eeb4ed09de180c23cc1efddaaee9228f4fa2327e0307246f08320b3238"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6IKUVK6VMC6OLQ3IZFHL2I3V2C/bundle.json","state_url":"https://pith.science/pith/6IKUVK6VMC6OLQ3IZFHL2I3V2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6IKUVK6VMC6OLQ3IZFHL2I3V2C/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":"2026-06-05T00:23:10Z","links":{"resolver":"https://pith.science/pith/6IKUVK6VMC6OLQ3IZFHL2I3V2C","bundle":"https://pith.science/pith/6IKUVK6VMC6OLQ3IZFHL2I3V2C/bundle.json","state":"https://pith.science/pith/6IKUVK6VMC6OLQ3IZFHL2I3V2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6IKUVK6VMC6OLQ3IZFHL2I3V2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6IKUVK6VMC6OLQ3IZFHL2I3V2C","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":"e522b4a244f4aa66bd2a7548c3efe8aa80c5230df1aaa062b8b2d6db6f180fa4","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-04-01T14:16:10Z","title_canon_sha256":"a5b75587d5c9771694dd5c5a5d3af1e56fd7652d14289af8449ca95584ec4c90"},"schema_version":"1.0","source":{"id":"1504.00241","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00241","created_at":"2026-05-18T01:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00241v3","created_at":"2026-05-18T01:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00241","created_at":"2026-05-18T01:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"6IKUVK6VMC6O","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6IKUVK6VMC6OLQ3I","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6IKUVK6V","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:cff6a4eeb4ed09de180c23cc1efddaaee9228f4fa2327e0307246f08320b3238","target":"graph","created_at":"2026-05-18T01:04:00Z","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":"There is an ever-increasing interest in investigating dynamics in time-varying graphs (TVGs). Nevertheless, so far, the notion of centrality in TVG scenarios usually refers to metrics that assess the relative importance of nodes along the temporal evolution of the dynamic complex network. For some TVG scenarios, however, more important than identifying the central nodes under a given node centrality definition is identifying the key time instants for taking certain actions. In this paper, we thus introduce and investigate the notion of time centrality in TVGs. Analogously to node centrality, t","authors_text":"Alex Borges Vieira, Ana Paula Couto da Silva, Artur Ziviani, Eduardo Chinelate Costa, Klaus Wehmuth","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-04-01T14:16:10Z","title":"Time Centrality in Dynamic Complex Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00241","kind":"arxiv","version":3},"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":"sha256:189bf319872c7d7bca2b8ce2dcf9a679055656ad7d3159bdbd31390a4c4d55ab","target":"record","created_at":"2026-05-18T01:04:00Z","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":"e522b4a244f4aa66bd2a7548c3efe8aa80c5230df1aaa062b8b2d6db6f180fa4","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-04-01T14:16:10Z","title_canon_sha256":"a5b75587d5c9771694dd5c5a5d3af1e56fd7652d14289af8449ca95584ec4c90"},"schema_version":"1.0","source":{"id":"1504.00241","kind":"arxiv","version":3}},"canonical_sha256":"f2154aabd560bce5c368c94ebd2375d0848378c9a196da78f76a7122f2e695fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2154aabd560bce5c368c94ebd2375d0848378c9a196da78f76a7122f2e695fc","first_computed_at":"2026-05-18T01:04:00.387386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:00.387386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mwQoabqp5HtAQnjfj+6hr+FsriJblgyhHeDtuJEecEAOy29VPs+cIHkZYI84KVDsgfFwle6UsGxQgqRgtebnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:00.387995Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00241","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:189bf319872c7d7bca2b8ce2dcf9a679055656ad7d3159bdbd31390a4c4d55ab","sha256:cff6a4eeb4ed09de180c23cc1efddaaee9228f4fa2327e0307246f08320b3238"],"state_sha256":"67ccb78138ac699d36e91be46d65dac8dd6eeb07251d9dc232846d84c9521a4c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dNz9UQi2LRMo8lvurEmD82GQJ3FDxWKIyu3u6fsv07d794KdSEhNUuGAPo7dTdpVgXh7wNAI/4kH51FWsmdVBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:23:10.670965Z","bundle_sha256":"c7213c69a1a81d65c470e87e3b1f586929be347c14ba6c26b17ad24a4cf4fed7"}}