{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WQ5BJAJS56JBTPHS22S5JABCPD","short_pith_number":"pith:WQ5BJAJS","canonical_record":{"source":{"id":"2606.13374","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2026-06-11T13:58:23Z","cross_cats_sorted":["cs.DS","math.PR"],"title_canon_sha256":"8595841f825f44478b3d60d998b15e846416d003d77bd8a4999751e212bfee70","abstract_canon_sha256":"8426f137d9c4cd9ea288d21d47c9672111812f86007c7e1433c8b6f2e7cd4647"},"schema_version":"1.0"},"canonical_sha256":"b43a148132ef9219bcf2d6a5d4802278f7ecced69b9dd6a80c5edf493fbf9704","source":{"kind":"arxiv","id":"2606.13374","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13374","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13374v1","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13374","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"pith_short_12","alias_value":"WQ5BJAJS56JB","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"pith_short_16","alias_value":"WQ5BJAJS56JBTPHS","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"pith_short_8","alias_value":"WQ5BJAJS","created_at":"2026-06-12T01:09:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WQ5BJAJS56JBTPHS22S5JABCPD","target":"record","payload":{"canonical_record":{"source":{"id":"2606.13374","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2026-06-11T13:58:23Z","cross_cats_sorted":["cs.DS","math.PR"],"title_canon_sha256":"8595841f825f44478b3d60d998b15e846416d003d77bd8a4999751e212bfee70","abstract_canon_sha256":"8426f137d9c4cd9ea288d21d47c9672111812f86007c7e1433c8b6f2e7cd4647"},"schema_version":"1.0"},"canonical_sha256":"b43a148132ef9219bcf2d6a5d4802278f7ecced69b9dd6a80c5edf493fbf9704","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:09:58.324341Z","signature_b64":"gGE68vTMiBHmRKDpjD3CWWY2WN75gKVq6KdGbjj4adp7ED6aehasH9nmSHwbF1KhoF2H8Nv5UUgZKRTEXLroCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b43a148132ef9219bcf2d6a5d4802278f7ecced69b9dd6a80c5edf493fbf9704","last_reissued_at":"2026-06-12T01:09:58.323466Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:09:58.323466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.13374","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":"2026-06-12T01:09:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R9HQfGhNI8oGodxRQhKK5Qome9poqkPDngnssFGGSUgHV9xmnuDNIJENI9f5kpTpSZJUJ67ZfGpof4mwWN8RAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:41:36.220288Z"},"content_sha256":"c63c3025794fbdfd22c1dccaf90c7b1946abc66febe1f67c2b0b4235b6231f82","schema_version":"1.0","event_id":"sha256:c63c3025794fbdfd22c1dccaf90c7b1946abc66febe1f67c2b0b4235b6231f82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WQ5BJAJS56JBTPHS22S5JABCPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Temporal Conductance and Bounds on the Voter Model for Dynamic Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS","math.PR"],"primary_cat":"cs.DC","authors_text":"Holger Dell, John Lapinskas, Tatiana Rocha Avila","submitted_at":"2026-06-11T13:58:23Z","abstract_excerpt":"The voter model is a classical stochastic process that models how opinions might spread through a network: at each step, every node lazily adopts the opinion of a random neighbour; eventually all nodes share the same opinion (consensus). Stronger connectivity should yield faster consensus. Berenbrink, Giakkoupis, Kermarrec, and Mallmann-Trenn (ICALP 2016) make this precise via the network's conductance: if the network has $m$ edges, minimum degree $d_{\\min}$, and conductance at least $\\phi$, then the voter model reaches consensus in expected $O(m/(d_{\\min}\\phi))$ steps. Their results extend to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13374","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.13374/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":"2026-06-12T01:09:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CMVhjiqn2yoYkwyd8lLyigPJHp07jYJ3RgBEgMPFoasqqjtNAuEv9yCaOxyxroX+H76RJRxZa7aYS1gcv5HCCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:41:36.220698Z"},"content_sha256":"9b50f6b8e424c3bad8b9b40742e483a56b986ea2ae316607bd14901a3b231421","schema_version":"1.0","event_id":"sha256:9b50f6b8e424c3bad8b9b40742e483a56b986ea2ae316607bd14901a3b231421"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WQ5BJAJS56JBTPHS22S5JABCPD/bundle.json","state_url":"https://pith.science/pith/WQ5BJAJS56JBTPHS22S5JABCPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WQ5BJAJS56JBTPHS22S5JABCPD/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":"2026-06-28T17:41:36Z","links":{"resolver":"https://pith.science/pith/WQ5BJAJS56JBTPHS22S5JABCPD","bundle":"https://pith.science/pith/WQ5BJAJS56JBTPHS22S5JABCPD/bundle.json","state":"https://pith.science/pith/WQ5BJAJS56JBTPHS22S5JABCPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WQ5BJAJS56JBTPHS22S5JABCPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WQ5BJAJS56JBTPHS22S5JABCPD","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":"8426f137d9c4cd9ea288d21d47c9672111812f86007c7e1433c8b6f2e7cd4647","cross_cats_sorted":["cs.DS","math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2026-06-11T13:58:23Z","title_canon_sha256":"8595841f825f44478b3d60d998b15e846416d003d77bd8a4999751e212bfee70"},"schema_version":"1.0","source":{"id":"2606.13374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13374","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13374v1","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13374","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"pith_short_12","alias_value":"WQ5BJAJS56JB","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"pith_short_16","alias_value":"WQ5BJAJS56JBTPHS","created_at":"2026-06-12T01:09:58Z"},{"alias_kind":"pith_short_8","alias_value":"WQ5BJAJS","created_at":"2026-06-12T01:09:58Z"}],"graph_snapshots":[{"event_id":"sha256:9b50f6b8e424c3bad8b9b40742e483a56b986ea2ae316607bd14901a3b231421","target":"graph","created_at":"2026-06-12T01:09:58Z","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/2606.13374/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The voter model is a classical stochastic process that models how opinions might spread through a network: at each step, every node lazily adopts the opinion of a random neighbour; eventually all nodes share the same opinion (consensus). Stronger connectivity should yield faster consensus. Berenbrink, Giakkoupis, Kermarrec, and Mallmann-Trenn (ICALP 2016) make this precise via the network's conductance: if the network has $m$ edges, minimum degree $d_{\\min}$, and conductance at least $\\phi$, then the voter model reaches consensus in expected $O(m/(d_{\\min}\\phi))$ steps. Their results extend to","authors_text":"Holger Dell, John Lapinskas, Tatiana Rocha Avila","cross_cats":["cs.DS","math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2026-06-11T13:58:23Z","title":"Temporal Conductance and Bounds on the Voter Model for Dynamic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13374","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:c63c3025794fbdfd22c1dccaf90c7b1946abc66febe1f67c2b0b4235b6231f82","target":"record","created_at":"2026-06-12T01:09:58Z","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":"8426f137d9c4cd9ea288d21d47c9672111812f86007c7e1433c8b6f2e7cd4647","cross_cats_sorted":["cs.DS","math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2026-06-11T13:58:23Z","title_canon_sha256":"8595841f825f44478b3d60d998b15e846416d003d77bd8a4999751e212bfee70"},"schema_version":"1.0","source":{"id":"2606.13374","kind":"arxiv","version":1}},"canonical_sha256":"b43a148132ef9219bcf2d6a5d4802278f7ecced69b9dd6a80c5edf493fbf9704","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b43a148132ef9219bcf2d6a5d4802278f7ecced69b9dd6a80c5edf493fbf9704","first_computed_at":"2026-06-12T01:09:58.323466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:09:58.323466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gGE68vTMiBHmRKDpjD3CWWY2WN75gKVq6KdGbjj4adp7ED6aehasH9nmSHwbF1KhoF2H8Nv5UUgZKRTEXLroCg==","signature_status":"signed_v1","signed_at":"2026-06-12T01:09:58.324341Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c63c3025794fbdfd22c1dccaf90c7b1946abc66febe1f67c2b0b4235b6231f82","sha256:9b50f6b8e424c3bad8b9b40742e483a56b986ea2ae316607bd14901a3b231421"],"state_sha256":"a3706397c58dcb487f20e910143bc0c55d34aff2dc8a35af7975f72e201be111"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvfDzPcKJdRE6lMY0SK/cQkVdZ5La+reh2Re0RyXAytlu7AybVcFZYTuAQVggLeyNbdV9xoF2Nlbo8Y52UfEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T17:41:36.222792Z","bundle_sha256":"a94ef08849b3dc040d4c94e19faaa0d00a1c7485ae6dcf25aa5591142e74f440"}}