{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SJRYFTXSYX37ZM6H4HD2O7WQNI","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":"13fd29b8c4185b130d0ca58d72238e9fdb061bed98212b2770c45cbd8e8fc0c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-14T04:45:03Z","title_canon_sha256":"57194836dc7ebeb7354bb3efab99196ee77c00bc31f51295d7543bfaeda97fe4"},"schema_version":"1.0","source":{"id":"1206.2999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2999","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2999v2","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2999","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"SJRYFTXSYX37","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SJRYFTXSYX37ZM6H","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SJRYFTXS","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:1a40e57fbdaa1ce3eb13f55ef37417b906018dbc187eaca47d0b0bda81693631","target":"graph","created_at":"2026-05-18T03:15:06Z","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 investigate the quantum dynamics of particles on graphs (\"quantum random walks\"), with the aim of developing quantum algorithms for determining if two graphs are isomorphic (related to each other by a relabeling of vertices). We focus on quantum random walks of multiple non-interacting particles on strongly regular graphs (SRGs), a class of graphs with high symmetry that is known to have pairs of graphs that are hard to distinguish. Previous work has already demonstrated analytically that two-particle non-interacting quantum walks cannot distinguish non-isomorphic SRGs of the same family. H","authors_text":"Eric Bach, John King Gamble, Kenneth Rudinger, Mark Friesen, Mark Wellons, Robert Joynt, S. N. Coppersmith","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-14T04:45:03Z","title":"Non-interacting multi-particle quantum random walks applied to the graph isomorphism problem for strongly regular graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2999","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:ead9cf14e6aa99c0d661c0657c42821f4665a4c99cdd01b45f40607c437a2e0c","target":"record","created_at":"2026-05-18T03:15:06Z","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":"13fd29b8c4185b130d0ca58d72238e9fdb061bed98212b2770c45cbd8e8fc0c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-14T04:45:03Z","title_canon_sha256":"57194836dc7ebeb7354bb3efab99196ee77c00bc31f51295d7543bfaeda97fe4"},"schema_version":"1.0","source":{"id":"1206.2999","kind":"arxiv","version":2}},"canonical_sha256":"926382cef2c5f7fcb3c7e1c7a77ed06a265bdfe8450013ad246e5ff9547261d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"926382cef2c5f7fcb3c7e1c7a77ed06a265bdfe8450013ad246e5ff9547261d0","first_computed_at":"2026-05-18T03:15:06.547386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:06.547386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IbPV/PVRDjSPURIZmyIe4928RJl0uANIfo2oOQgkflnvMn5Gm+TENdzpArhGSsq1X71nsc+b9yoUhVgVTioJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:06.548087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ead9cf14e6aa99c0d661c0657c42821f4665a4c99cdd01b45f40607c437a2e0c","sha256:1a40e57fbdaa1ce3eb13f55ef37417b906018dbc187eaca47d0b0bda81693631"],"state_sha256":"2ab8cfdd050d23911d77591af55f6efc26f302982ea7cbe467349a361276dfe7"}