{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EKU4IVI5EVW6C6W466I6XYTHHO","short_pith_number":"pith:EKU4IVI5","canonical_record":{"source":{"id":"1812.02519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T13:36:40Z","cross_cats_sorted":[],"title_canon_sha256":"e8d4fa7e72c4be9775c207e5db9f94364eaf26caa9abe91e21b15bd480abcffe","abstract_canon_sha256":"232a0488bec31a13c84ab92edef3d36d5c05911659e1aa779567e8b0beddbfb0"},"schema_version":"1.0"},"canonical_sha256":"22a9c4551d256de17adcf791ebe2673bbc5df998c1cc0c804feed8a6bf210413","source":{"kind":"arxiv","id":"1812.02519","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02519","created_at":"2026-05-17T23:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02519v1","created_at":"2026-05-17T23:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02519","created_at":"2026-05-17T23:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"EKU4IVI5EVW6","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EKU4IVI5EVW6C6W4","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EKU4IVI5","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EKU4IVI5EVW6C6W466I6XYTHHO","target":"record","payload":{"canonical_record":{"source":{"id":"1812.02519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T13:36:40Z","cross_cats_sorted":[],"title_canon_sha256":"e8d4fa7e72c4be9775c207e5db9f94364eaf26caa9abe91e21b15bd480abcffe","abstract_canon_sha256":"232a0488bec31a13c84ab92edef3d36d5c05911659e1aa779567e8b0beddbfb0"},"schema_version":"1.0"},"canonical_sha256":"22a9c4551d256de17adcf791ebe2673bbc5df998c1cc0c804feed8a6bf210413","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:49.863728Z","signature_b64":"RSe+qvAususkyFu2cFoXCRXrLIEQDUIsW0fO/cd4bgqeKByJSXaOrcq4fkKcC1HbDO9y0Joj2USbolNUKY+wCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22a9c4551d256de17adcf791ebe2673bbc5df998c1cc0c804feed8a6bf210413","last_reissued_at":"2026-05-17T23:46:49.863046Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:49.863046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.02519","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":"2026-05-17T23:46:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L3+IbttavW7UjahyMKfpmQK0yvOymE4k+Onpf3r6tNafT5Ce/fB2rqgR6syQZ8mhbY8qqOlEfv+k01/mrY56AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:50:55.562227Z"},"content_sha256":"560e5685d5fe1466ed39e03b9b8c81a064f94c8c2b94fae41f02d5ddd77164df","schema_version":"1.0","event_id":"sha256:560e5685d5fe1466ed39e03b9b8c81a064f94c8c2b94fae41f02d5ddd77164df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EKU4IVI5EVW6C6W466I6XYTHHO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Percolated quantum walks with a general shift operator: From trapping to transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Igor Jex, Jan Mare\\v{s}, Jaroslav Novotn\\'y","submitted_at":"2018-12-06T13:36:40Z","abstract_excerpt":"We present a generalized definition of discrete-time quantum walks convenient for capturing a rather broad spectrum of walker's behavior on arbitrary graphs. It includes and covers both: the geometry of possible walker's positions with interconnecting links and the prescribed rule in which directions the walker will move at each vertex. While the former allows for the analysis of inhomogeneous quantum walks on graphs with vertices of varying degree, the latter offers us to choose, investigate, and compare quantum walks with different shift operators. The synthesis of both key ingredients const"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02519","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":""},"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":"2026-05-17T23:46:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7cLRRnw6vIG6nBhGNm/RgeujV6Jr4Ll6Ylrk/9U1599c5qbAqK/k7vt5wy1y3bYZ73DjkJggbzxSTlG/lTDgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:50:55.562860Z"},"content_sha256":"bd3712807c0b2593caf55d6ae664ba891a6c31d6e45b9901f39bab4bae921339","schema_version":"1.0","event_id":"sha256:bd3712807c0b2593caf55d6ae664ba891a6c31d6e45b9901f39bab4bae921339"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EKU4IVI5EVW6C6W466I6XYTHHO/bundle.json","state_url":"https://pith.science/pith/EKU4IVI5EVW6C6W466I6XYTHHO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EKU4IVI5EVW6C6W466I6XYTHHO/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":"2026-05-29T22:50:55Z","links":{"resolver":"https://pith.science/pith/EKU4IVI5EVW6C6W466I6XYTHHO","bundle":"https://pith.science/pith/EKU4IVI5EVW6C6W466I6XYTHHO/bundle.json","state":"https://pith.science/pith/EKU4IVI5EVW6C6W466I6XYTHHO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EKU4IVI5EVW6C6W466I6XYTHHO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EKU4IVI5EVW6C6W466I6XYTHHO","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":"232a0488bec31a13c84ab92edef3d36d5c05911659e1aa779567e8b0beddbfb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T13:36:40Z","title_canon_sha256":"e8d4fa7e72c4be9775c207e5db9f94364eaf26caa9abe91e21b15bd480abcffe"},"schema_version":"1.0","source":{"id":"1812.02519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02519","created_at":"2026-05-17T23:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02519v1","created_at":"2026-05-17T23:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02519","created_at":"2026-05-17T23:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"EKU4IVI5EVW6","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EKU4IVI5EVW6C6W4","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EKU4IVI5","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:bd3712807c0b2593caf55d6ae664ba891a6c31d6e45b9901f39bab4bae921339","target":"graph","created_at":"2026-05-17T23:46:49Z","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 present a generalized definition of discrete-time quantum walks convenient for capturing a rather broad spectrum of walker's behavior on arbitrary graphs. It includes and covers both: the geometry of possible walker's positions with interconnecting links and the prescribed rule in which directions the walker will move at each vertex. While the former allows for the analysis of inhomogeneous quantum walks on graphs with vertices of varying degree, the latter offers us to choose, investigate, and compare quantum walks with different shift operators. The synthesis of both key ingredients const","authors_text":"Igor Jex, Jan Mare\\v{s}, Jaroslav Novotn\\'y","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T13:36:40Z","title":"Percolated quantum walks with a general shift operator: From trapping to transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02519","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":"sha256:560e5685d5fe1466ed39e03b9b8c81a064f94c8c2b94fae41f02d5ddd77164df","target":"record","created_at":"2026-05-17T23:46:49Z","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":"232a0488bec31a13c84ab92edef3d36d5c05911659e1aa779567e8b0beddbfb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T13:36:40Z","title_canon_sha256":"e8d4fa7e72c4be9775c207e5db9f94364eaf26caa9abe91e21b15bd480abcffe"},"schema_version":"1.0","source":{"id":"1812.02519","kind":"arxiv","version":1}},"canonical_sha256":"22a9c4551d256de17adcf791ebe2673bbc5df998c1cc0c804feed8a6bf210413","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22a9c4551d256de17adcf791ebe2673bbc5df998c1cc0c804feed8a6bf210413","first_computed_at":"2026-05-17T23:46:49.863046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:49.863046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RSe+qvAususkyFu2cFoXCRXrLIEQDUIsW0fO/cd4bgqeKByJSXaOrcq4fkKcC1HbDO9y0Joj2USbolNUKY+wCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:49.863728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.02519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:560e5685d5fe1466ed39e03b9b8c81a064f94c8c2b94fae41f02d5ddd77164df","sha256:bd3712807c0b2593caf55d6ae664ba891a6c31d6e45b9901f39bab4bae921339"],"state_sha256":"a155d52c45a1a13dc6ea06e03b733b2a7c8d7b573d465a0a113a05b490e2415f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fp0HPxoq56GWVUbh0kOcRJW7Xn9Xl3CqMSWBBwEvIW9uzAbNQ9r6hICG6DgoQKH/HxTLUmdo+N6AUBtqeHQAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T22:50:55.566439Z","bundle_sha256":"58b6b0086c13b586cbcbc9b6d00cea9f3b37aed427d691f3879ceb06a0947670"}}