{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ISRJE2KV4YKQEAUO3EO7U43HT5","short_pith_number":"pith:ISRJE2KV","canonical_record":{"source":{"id":"1305.2938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-13T20:05:48Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"41bd13a0af8c397355da89427d0487c276de63919d18ce80fa33ff20070e3d99","abstract_canon_sha256":"186c998e4d4c7005dbd08c398c573fd9ae0b226494c45247d52d020c947fda70"},"schema_version":"1.0"},"canonical_sha256":"44a2926955e61502028ed91dfa73679f4c771c9d41f8d58e7f7c032f4541eab9","source":{"kind":"arxiv","id":"1305.2938","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2938","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2938v2","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2938","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"pith_short_12","alias_value":"ISRJE2KV4YKQ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"ISRJE2KV4YKQEAUO","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"ISRJE2KV","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ISRJE2KV4YKQEAUO3EO7U43HT5","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-13T20:05:48Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"41bd13a0af8c397355da89427d0487c276de63919d18ce80fa33ff20070e3d99","abstract_canon_sha256":"186c998e4d4c7005dbd08c398c573fd9ae0b226494c45247d52d020c947fda70"},"schema_version":"1.0"},"canonical_sha256":"44a2926955e61502028ed91dfa73679f4c771c9d41f8d58e7f7c032f4541eab9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:15.883119Z","signature_b64":"G4EwS39gs2yA+NMjnfKp3Zv6I+0icPyr/rIzaGxygVcbQ76hl0S9IUxsvrcNHg1bqJuE0oHI3YPxq4Zs9gmMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44a2926955e61502028ed91dfa73679f4c771c9d41f8d58e7f7c032f4541eab9","last_reissued_at":"2026-05-18T03:08:15.882533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:15.882533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2938","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":"2026-05-18T03:08:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"riwWGd9ZHk/H8kWh5dU+TsxWbhYJsYjr3qKLyUdKpCu+cL7XBhH4bvcjfyo/6EPThuGdi1fiU0i7NU9R0FDfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:20:03.804629Z"},"content_sha256":"a5eab3644514ea7a07826106572a4fc9795d6d62aa20036ee10a895789a449ac","schema_version":"1.0","event_id":"sha256:a5eab3644514ea7a07826106572a4fc9795d6d62aa20036ee10a895789a449ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ISRJE2KV4YKQEAUO3EO7U43HT5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Temporal networks: slowing down diffusion by long lasting interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Konstantin Klemm, Naoki Masuda, V\\'ictor M. Egu\\'iluz","submitted_at":"2013-05-13T20:05:48Z","abstract_excerpt":"Interactions among units in complex systems occur in a specific sequential order thus affecting the flow of information, the propagation of diseases, and general dynamical processes. We investigate the Laplacian spectrum of temporal networks and compare it with that of the corresponding aggregate network. First, we show that the spectrum of the ensemble average of a temporal network has identical eigenmodes but smaller eigenvalues than the aggregate networks. In large networks without edge condensation, the expected temporal dynamics is a time-rescaled version of the aggregate dynamics. Even f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2938","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":""},"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":"2026-05-18T03:08:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yumTuqaKFqFhsD8DIvufF8UQOYehAOc53bEVih+rh+aiPCuVeEC+9z+GGZhmZvARucLi6/krmneSoI1cHD/HDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:20:03.805290Z"},"content_sha256":"a10c9008cee18e6635d27ab031e898d86c0bb16de8ff9e367b25cc3944bc1d8e","schema_version":"1.0","event_id":"sha256:a10c9008cee18e6635d27ab031e898d86c0bb16de8ff9e367b25cc3944bc1d8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ISRJE2KV4YKQEAUO3EO7U43HT5/bundle.json","state_url":"https://pith.science/pith/ISRJE2KV4YKQEAUO3EO7U43HT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ISRJE2KV4YKQEAUO3EO7U43HT5/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":"2026-05-28T12:20:03Z","links":{"resolver":"https://pith.science/pith/ISRJE2KV4YKQEAUO3EO7U43HT5","bundle":"https://pith.science/pith/ISRJE2KV4YKQEAUO3EO7U43HT5/bundle.json","state":"https://pith.science/pith/ISRJE2KV4YKQEAUO3EO7U43HT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ISRJE2KV4YKQEAUO3EO7U43HT5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ISRJE2KV4YKQEAUO3EO7U43HT5","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":"186c998e4d4c7005dbd08c398c573fd9ae0b226494c45247d52d020c947fda70","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-13T20:05:48Z","title_canon_sha256":"41bd13a0af8c397355da89427d0487c276de63919d18ce80fa33ff20070e3d99"},"schema_version":"1.0","source":{"id":"1305.2938","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2938","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2938v2","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2938","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"pith_short_12","alias_value":"ISRJE2KV4YKQ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"ISRJE2KV4YKQEAUO","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"ISRJE2KV","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:a10c9008cee18e6635d27ab031e898d86c0bb16de8ff9e367b25cc3944bc1d8e","target":"graph","created_at":"2026-05-18T03:08:15Z","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":"Interactions among units in complex systems occur in a specific sequential order thus affecting the flow of information, the propagation of diseases, and general dynamical processes. We investigate the Laplacian spectrum of temporal networks and compare it with that of the corresponding aggregate network. First, we show that the spectrum of the ensemble average of a temporal network has identical eigenmodes but smaller eigenvalues than the aggregate networks. In large networks without edge condensation, the expected temporal dynamics is a time-rescaled version of the aggregate dynamics. Even f","authors_text":"Konstantin Klemm, Naoki Masuda, V\\'ictor M. Egu\\'iluz","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-13T20:05:48Z","title":"Temporal networks: slowing down diffusion by long lasting interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2938","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:a5eab3644514ea7a07826106572a4fc9795d6d62aa20036ee10a895789a449ac","target":"record","created_at":"2026-05-18T03:08:15Z","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":"186c998e4d4c7005dbd08c398c573fd9ae0b226494c45247d52d020c947fda70","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-05-13T20:05:48Z","title_canon_sha256":"41bd13a0af8c397355da89427d0487c276de63919d18ce80fa33ff20070e3d99"},"schema_version":"1.0","source":{"id":"1305.2938","kind":"arxiv","version":2}},"canonical_sha256":"44a2926955e61502028ed91dfa73679f4c771c9d41f8d58e7f7c032f4541eab9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44a2926955e61502028ed91dfa73679f4c771c9d41f8d58e7f7c032f4541eab9","first_computed_at":"2026-05-18T03:08:15.882533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:15.882533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G4EwS39gs2yA+NMjnfKp3Zv6I+0icPyr/rIzaGxygVcbQ76hl0S9IUxsvrcNHg1bqJuE0oHI3YPxq4Zs9gmMBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:15.883119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2938","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5eab3644514ea7a07826106572a4fc9795d6d62aa20036ee10a895789a449ac","sha256:a10c9008cee18e6635d27ab031e898d86c0bb16de8ff9e367b25cc3944bc1d8e"],"state_sha256":"a59348a5f110902f17f2b94d75936addd1821d5b5514f228d260b1ce63276542"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ekqml7oYYcDsyzHTt00J7cBt/wELwcsL+rAw+cIOGVliUZ886iqsFyRq2OoFM/cJ8fiLZfon2pMJRLfjR6PlBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:20:03.808367Z","bundle_sha256":"6914a90aa7cf348b6dede7040d74e97c8018d812d86bb1ad41afe0d4c8d08cda"}}