{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7T4WGP7AXHN6QASTW4MZQRWZIR","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":"79dca8e2df5a1a3b32b474757ed0f0dd79bbace16f05541bd35da755b4b7b753","cross_cats_sorted":["cs.NI","nlin.CG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-28T16:12:27Z","title_canon_sha256":"3a546d82580d4436b987b0fcf2435129e73e8725fe16c91dfb5cf92ea8b50a17"},"schema_version":"1.0","source":{"id":"1708.05704","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05704","created_at":"2026-05-18T00:14:54Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05704v3","created_at":"2026-05-18T00:14:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05704","created_at":"2026-05-18T00:14:54Z"},{"alias_kind":"pith_short_12","alias_value":"7T4WGP7AXHN6","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7T4WGP7AXHN6QAST","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7T4WGP7A","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:ce1037c8f9a60c74e724c0c90b62f3b2268116549f99d4b58124531c80674fdc","target":"graph","created_at":"2026-05-18T00:14:54Z","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":"Motivated by multi-hop communication in unreliable wireless networks, we present a percolation theory for time-varying networks. We develop a renormalization group theory for a prototypical network on a regular grid, where individual links switch stochastically between active and inactive states. The question whether a given source node can communicate with a destination node along paths of active links is equivalent to a percolation problem. Our theory maps the temporal existence of multi-hop paths on an effective two-state Markov process. We show analytically how this Markov process converge","authors_text":"Benjamin M. Friedrich, Jens Karschau, Marco Zimmerling","cross_cats":["cs.NI","nlin.CG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-28T16:12:27Z","title":"Renormalization group theory for percolation in time-varying networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05704","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":"sha256:6f27177d58443e068602190d34c4d7ad8f48d97e100d20cfbb037fb8413235a0","target":"record","created_at":"2026-05-18T00:14:54Z","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":"79dca8e2df5a1a3b32b474757ed0f0dd79bbace16f05541bd35da755b4b7b753","cross_cats_sorted":["cs.NI","nlin.CG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-07-28T16:12:27Z","title_canon_sha256":"3a546d82580d4436b987b0fcf2435129e73e8725fe16c91dfb5cf92ea8b50a17"},"schema_version":"1.0","source":{"id":"1708.05704","kind":"arxiv","version":3}},"canonical_sha256":"fcf9633fe0b9dbe80253b7199846d9444faaca22007ef66fab7e4a49170773b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcf9633fe0b9dbe80253b7199846d9444faaca22007ef66fab7e4a49170773b1","first_computed_at":"2026-05-18T00:14:54.673850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:54.673850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vQposgkcK+YIK7oWY6n6ne21j/9DTNyIpXvQ2JWBdPKB42IQzjrh6mSMRl+VplHMvoJ5kSIzLAHOEnCmeU31Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:54.674457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05704","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f27177d58443e068602190d34c4d7ad8f48d97e100d20cfbb037fb8413235a0","sha256:ce1037c8f9a60c74e724c0c90b62f3b2268116549f99d4b58124531c80674fdc"],"state_sha256":"c8cab696d60fabf79b6b1b98eef64176a95cf31c42fcb8cac2f826dd1cb8744b"}