{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:PPVKBIT2VO46SO4D6DLB3U3BYW","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":"41253cc4bd1c306c2ca3ecf92a6b7853bfac6dbd36bde83bf6fbbe874b571248","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2008-05-02T15:30:45Z","title_canon_sha256":"04d98603f479ff904963a397f2dd4b369577d20e1f61781c2fe8bc119d7ee7d8"},"schema_version":"1.0","source":{"id":"0805.0181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.0181","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"arxiv_version","alias_value":"0805.0181v1","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.0181","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"pith_short_12","alias_value":"PPVKBIT2VO46","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"PPVKBIT2VO46SO4D","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"PPVKBIT2","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:05bdb79828f22fb3fbb9849fac62968b13bfcc1af2e2cf9edf1cf9f02bfd6a88","target":"graph","created_at":"2026-05-18T03:13:22Z","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":"We consider a discrete-time dynamical process on graphs, firstly introduced in connection with a protocol for controlling large networks of spin 1/2 quantum mechanical particles [Phys. Rev. Lett. 99, 100501 (2007)]. A description is as follows: each vertex of an initially selected set has a packet of information (the same for every element of the set), which will be distributed among vertices of the graph; a vertex v can pass its packet to an adjacent vertex w only if w is its only neighbour without the information. By mean of examples, we describe some general properties, mainly concerning ho","authors_text":"Simone Severini","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2008-05-02T15:30:45Z","title":"Nondiscriminatory Propagation on Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.0181","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:f503930bc7fa28e55ed5e9ab399d3d89ef41e8aa5de46f438f5f3bdcecc5f9bd","target":"record","created_at":"2026-05-18T03:13:22Z","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":"41253cc4bd1c306c2ca3ecf92a6b7853bfac6dbd36bde83bf6fbbe874b571248","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2008-05-02T15:30:45Z","title_canon_sha256":"04d98603f479ff904963a397f2dd4b369577d20e1f61781c2fe8bc119d7ee7d8"},"schema_version":"1.0","source":{"id":"0805.0181","kind":"arxiv","version":1}},"canonical_sha256":"7beaa0a27aabb9e93b83f0d61dd361c5a7598b318349dabd5f66ef0956c7eb8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7beaa0a27aabb9e93b83f0d61dd361c5a7598b318349dabd5f66ef0956c7eb8d","first_computed_at":"2026-05-18T03:13:22.240286Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:22.240286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NmazyZjHRFRafBxaBOTvhrTvO/d1PTCrPFi3PCTrfZVZgMoTFwmvTjYQ8hsNI90LpkRrpsPr6IgVTL17taP3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:22.240895Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.0181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f503930bc7fa28e55ed5e9ab399d3d89ef41e8aa5de46f438f5f3bdcecc5f9bd","sha256:05bdb79828f22fb3fbb9849fac62968b13bfcc1af2e2cf9edf1cf9f02bfd6a88"],"state_sha256":"8731f50c8a14ac90ad59f255a01be1327f6147c3db1b91fb6555ef8104988f09"}