{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KUAH5JPQJXXEHH2WBU2X2B5L5T","short_pith_number":"pith:KUAH5JPQ","canonical_record":{"source":{"id":"1102.0629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-02-03T09:26:50Z","cross_cats_sorted":["cs.AI","cs.DC","physics.soc-ph"],"title_canon_sha256":"2be399115b8bb1e024a9e5229707e461478de0ad6882a545b26a23418accf518","abstract_canon_sha256":"21497726ca9eef1f795342a51325077308f1021143d1e9a3ece903cc06eaccca"},"schema_version":"1.0"},"canonical_sha256":"55007ea5f04dee439f560d357d07abecd362042a9206770627818b30f7a1342c","source":{"kind":"arxiv","id":"1102.0629","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0629","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0629v1","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0629","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"KUAH5JPQJXXE","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KUAH5JPQJXXEHH2W","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KUAH5JPQ","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KUAH5JPQJXXEHH2WBU2X2B5L5T","target":"record","payload":{"canonical_record":{"source":{"id":"1102.0629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-02-03T09:26:50Z","cross_cats_sorted":["cs.AI","cs.DC","physics.soc-ph"],"title_canon_sha256":"2be399115b8bb1e024a9e5229707e461478de0ad6882a545b26a23418accf518","abstract_canon_sha256":"21497726ca9eef1f795342a51325077308f1021143d1e9a3ece903cc06eaccca"},"schema_version":"1.0"},"canonical_sha256":"55007ea5f04dee439f560d357d07abecd362042a9206770627818b30f7a1342c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:04.351424Z","signature_b64":"XeBoDKJbv4T8XikIP8d0SqDYEF4a7g5bE1N8X1FqNB7iOazYGl0EptLnsIoTA6foDZTGhshseTyvM3V+bQzLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55007ea5f04dee439f560d357d07abecd362042a9206770627818b30f7a1342c","last_reissued_at":"2026-05-18T04:30:04.350873Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:04.350873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.0629","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":"2026-05-18T04:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pW8kMR5FZnygHx9v6QqVwu8PAIswieuN3P0Jcpe5PLTPNuWbaOnwH51HCD2ORBM0B/t4/0IWtUiyq70SnkfEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:26:35.729860Z"},"content_sha256":"a78b32c756b592f03b649ebe868ccf7122add2150d5592b3f65aad2811e3dd57","schema_version":"1.0","event_id":"sha256:a78b32c756b592f03b649ebe868ccf7122add2150d5592b3f65aad2811e3dd57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KUAH5JPQJXXEHH2WBU2X2B5L5T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-Varying Graphs and Social Network Analysis: Temporal Indicators and Metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.DC","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Arnaud Casteigts, Frederic Amblard, Nicola Santoro, Paola Flocchini, Walter Quattrociocchi","submitted_at":"2011-02-03T09:26:50Z","abstract_excerpt":"Most instruments - formalisms, concepts, and metrics - for social networks analysis fail to capture their dynamics. Typical systems exhibit different scales of dynamics, ranging from the fine-grain dynamics of interactions (which recently led researchers to consider temporal versions of distance, connectivity, and related indicators), to the evolution of network properties over longer periods of time. This paper proposes a general approach to study that evolution for both atemporal and temporal indicators, based respectively on sequences of static graphs and sequences of time-varying graphs th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0629","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":"2026-05-18T04:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"No22BjW9jLJdV15I1QupQcSldjt/cYtMAdJVBMc1kB88sVCxR3sMl+oipSpuMMstPFfaM8yyZ/DIKQ2jvI2jAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:26:35.730568Z"},"content_sha256":"ef4573d455ec63a82158dc4bf160f88ec6ef7e092390355619d07647a7ec969b","schema_version":"1.0","event_id":"sha256:ef4573d455ec63a82158dc4bf160f88ec6ef7e092390355619d07647a7ec969b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUAH5JPQJXXEHH2WBU2X2B5L5T/bundle.json","state_url":"https://pith.science/pith/KUAH5JPQJXXEHH2WBU2X2B5L5T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUAH5JPQJXXEHH2WBU2X2B5L5T/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":"2026-05-28T21:26:35Z","links":{"resolver":"https://pith.science/pith/KUAH5JPQJXXEHH2WBU2X2B5L5T","bundle":"https://pith.science/pith/KUAH5JPQJXXEHH2WBU2X2B5L5T/bundle.json","state":"https://pith.science/pith/KUAH5JPQJXXEHH2WBU2X2B5L5T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUAH5JPQJXXEHH2WBU2X2B5L5T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KUAH5JPQJXXEHH2WBU2X2B5L5T","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":"21497726ca9eef1f795342a51325077308f1021143d1e9a3ece903cc06eaccca","cross_cats_sorted":["cs.AI","cs.DC","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-02-03T09:26:50Z","title_canon_sha256":"2be399115b8bb1e024a9e5229707e461478de0ad6882a545b26a23418accf518"},"schema_version":"1.0","source":{"id":"1102.0629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0629","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0629v1","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0629","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"KUAH5JPQJXXE","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KUAH5JPQJXXEHH2W","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KUAH5JPQ","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:ef4573d455ec63a82158dc4bf160f88ec6ef7e092390355619d07647a7ec969b","target":"graph","created_at":"2026-05-18T04:30:04Z","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":"Most instruments - formalisms, concepts, and metrics - for social networks analysis fail to capture their dynamics. Typical systems exhibit different scales of dynamics, ranging from the fine-grain dynamics of interactions (which recently led researchers to consider temporal versions of distance, connectivity, and related indicators), to the evolution of network properties over longer periods of time. This paper proposes a general approach to study that evolution for both atemporal and temporal indicators, based respectively on sequences of static graphs and sequences of time-varying graphs th","authors_text":"Arnaud Casteigts, Frederic Amblard, Nicola Santoro, Paola Flocchini, Walter Quattrociocchi","cross_cats":["cs.AI","cs.DC","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-02-03T09:26:50Z","title":"Time-Varying Graphs and Social Network Analysis: Temporal Indicators and Metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0629","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:a78b32c756b592f03b649ebe868ccf7122add2150d5592b3f65aad2811e3dd57","target":"record","created_at":"2026-05-18T04:30:04Z","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":"21497726ca9eef1f795342a51325077308f1021143d1e9a3ece903cc06eaccca","cross_cats_sorted":["cs.AI","cs.DC","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2011-02-03T09:26:50Z","title_canon_sha256":"2be399115b8bb1e024a9e5229707e461478de0ad6882a545b26a23418accf518"},"schema_version":"1.0","source":{"id":"1102.0629","kind":"arxiv","version":1}},"canonical_sha256":"55007ea5f04dee439f560d357d07abecd362042a9206770627818b30f7a1342c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55007ea5f04dee439f560d357d07abecd362042a9206770627818b30f7a1342c","first_computed_at":"2026-05-18T04:30:04.350873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:04.350873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XeBoDKJbv4T8XikIP8d0SqDYEF4a7g5bE1N8X1FqNB7iOazYGl0EptLnsIoTA6foDZTGhshseTyvM3V+bQzLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:04.351424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a78b32c756b592f03b649ebe868ccf7122add2150d5592b3f65aad2811e3dd57","sha256:ef4573d455ec63a82158dc4bf160f88ec6ef7e092390355619d07647a7ec969b"],"state_sha256":"3f79fcf1dfff22ea24e9ca01a541e7b960974e9a6e337263c6809fd762d70534"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TyzgkNDUOw6FAY0cfOLoR6Prk8PozAmCbGFK+37/mjtRwb89cvf2o6d8ityJb83B1pmnxhHHppgOxNK/C3i7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:26:35.734525Z","bundle_sha256":"17edcfc8cb579c125965aca9cde777b0220e7f164fd5d9392bd231e5afef9846"}}