{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:PHN7Q3GXOBTG6AFVYCBGJ2DHUX","short_pith_number":"pith:PHN7Q3GX","canonical_record":{"source":{"id":"1003.1729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-03-08T21:14:14Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"fea162b871dfa14ebae27239dfc0fc2243b29aabff4db9238fab5a9262391fd3","abstract_canon_sha256":"cdbae0a9eddeb239eb7aa5e20a4922745fbd7484bc60767974ff5c23cc54fb17"},"schema_version":"1.0"},"canonical_sha256":"79dbf86cd770666f00b5c08264e867a5e1b7c1b6a282f07d60b7a4803863d1d5","source":{"kind":"arxiv","id":"1003.1729","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1729","created_at":"2026-05-18T04:40:09Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1729v1","created_at":"2026-05-18T04:40:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1729","created_at":"2026-05-18T04:40:09Z"},{"alias_kind":"pith_short_12","alias_value":"PHN7Q3GXOBTG","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PHN7Q3GXOBTG6AFV","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PHN7Q3GX","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:PHN7Q3GXOBTG6AFVYCBGJ2DHUX","target":"record","payload":{"canonical_record":{"source":{"id":"1003.1729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-03-08T21:14:14Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"fea162b871dfa14ebae27239dfc0fc2243b29aabff4db9238fab5a9262391fd3","abstract_canon_sha256":"cdbae0a9eddeb239eb7aa5e20a4922745fbd7484bc60767974ff5c23cc54fb17"},"schema_version":"1.0"},"canonical_sha256":"79dbf86cd770666f00b5c08264e867a5e1b7c1b6a282f07d60b7a4803863d1d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:09.396132Z","signature_b64":"5gBWHgx0NaVUcPG9+KyAYy6sfPsu9TQzF1KIvMlw8cc1ZWoH4F/jdkGZkZDX4VroVT2HDfkXSYy+cVuqOKL/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79dbf86cd770666f00b5c08264e867a5e1b7c1b6a282f07d60b7a4803863d1d5","last_reissued_at":"2026-05-18T04:40:09.395724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:09.395724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.1729","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":"2026-05-18T04:40:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yaCYBy2qRBJ6hyfmNpGnHPASLIbMZB/OTrlC5laiZNWHVcC8oAu1jSNBP2nWQzR7Ob4/vtoJUYD5W5e7+VwqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T01:23:38.645255Z"},"content_sha256":"e973c06837862f46d84b4b76ac8e1799bc0365b52d47fc635d0bdb153f1754e6","schema_version":"1.0","event_id":"sha256:e973c06837862f46d84b4b76ac8e1799bc0365b52d47fc635d0bdb153f1754e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:PHN7Q3GXOBTG6AFVYCBGJ2DHUX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring Topological Phases With Quantum Walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Erez Berg, Eugene Demler, Mark S. Rudner, Takuya Kitagawa","submitted_at":"2010-03-08T21:14:14Z","abstract_excerpt":"The quantum walk was originally proposed as a quantum mechanical analogue of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete time quantum walks provide a versatile platform for studying topological phases, which are currently the subject of intense theoretical and experimental investigation. In particular, we demonstrate that recent experimental realizations of quantum walks simulate a non-trivial one dimensional topological phase. With simple modifications, the quantum walk can be engineered to realize all of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1729","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":"2026-05-18T04:40:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Quj1Qk44ai06KLGMtTqDYuuj+snbu8A3nRhI/LUzsf+qzTJnFXNqePqv6buZ05pRAnS9EJ6UBRgIpTcK2bztBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T01:23:38.645640Z"},"content_sha256":"3342fc7c463c330368a23905cc1eb1970f0425bbcc681c7c9a4b7b24f4202646","schema_version":"1.0","event_id":"sha256:3342fc7c463c330368a23905cc1eb1970f0425bbcc681c7c9a4b7b24f4202646"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PHN7Q3GXOBTG6AFVYCBGJ2DHUX/bundle.json","state_url":"https://pith.science/pith/PHN7Q3GXOBTG6AFVYCBGJ2DHUX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PHN7Q3GXOBTG6AFVYCBGJ2DHUX/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":"2026-05-24T01:23:38Z","links":{"resolver":"https://pith.science/pith/PHN7Q3GXOBTG6AFVYCBGJ2DHUX","bundle":"https://pith.science/pith/PHN7Q3GXOBTG6AFVYCBGJ2DHUX/bundle.json","state":"https://pith.science/pith/PHN7Q3GXOBTG6AFVYCBGJ2DHUX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PHN7Q3GXOBTG6AFVYCBGJ2DHUX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PHN7Q3GXOBTG6AFVYCBGJ2DHUX","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":"cdbae0a9eddeb239eb7aa5e20a4922745fbd7484bc60767974ff5c23cc54fb17","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-03-08T21:14:14Z","title_canon_sha256":"fea162b871dfa14ebae27239dfc0fc2243b29aabff4db9238fab5a9262391fd3"},"schema_version":"1.0","source":{"id":"1003.1729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1729","created_at":"2026-05-18T04:40:09Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1729v1","created_at":"2026-05-18T04:40:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1729","created_at":"2026-05-18T04:40:09Z"},{"alias_kind":"pith_short_12","alias_value":"PHN7Q3GXOBTG","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PHN7Q3GXOBTG6AFV","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PHN7Q3GX","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:3342fc7c463c330368a23905cc1eb1970f0425bbcc681c7c9a4b7b24f4202646","target":"graph","created_at":"2026-05-18T04:40:09Z","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":"The quantum walk was originally proposed as a quantum mechanical analogue of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete time quantum walks provide a versatile platform for studying topological phases, which are currently the subject of intense theoretical and experimental investigation. In particular, we demonstrate that recent experimental realizations of quantum walks simulate a non-trivial one dimensional topological phase. With simple modifications, the quantum walk can be engineered to realize all of","authors_text":"Erez Berg, Eugene Demler, Mark S. Rudner, Takuya Kitagawa","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-03-08T21:14:14Z","title":"Exploring Topological Phases With Quantum Walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1729","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:e973c06837862f46d84b4b76ac8e1799bc0365b52d47fc635d0bdb153f1754e6","target":"record","created_at":"2026-05-18T04:40:09Z","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":"cdbae0a9eddeb239eb7aa5e20a4922745fbd7484bc60767974ff5c23cc54fb17","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-03-08T21:14:14Z","title_canon_sha256":"fea162b871dfa14ebae27239dfc0fc2243b29aabff4db9238fab5a9262391fd3"},"schema_version":"1.0","source":{"id":"1003.1729","kind":"arxiv","version":1}},"canonical_sha256":"79dbf86cd770666f00b5c08264e867a5e1b7c1b6a282f07d60b7a4803863d1d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79dbf86cd770666f00b5c08264e867a5e1b7c1b6a282f07d60b7a4803863d1d5","first_computed_at":"2026-05-18T04:40:09.395724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:09.395724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5gBWHgx0NaVUcPG9+KyAYy6sfPsu9TQzF1KIvMlw8cc1ZWoH4F/jdkGZkZDX4VroVT2HDfkXSYy+cVuqOKL/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:09.396132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e973c06837862f46d84b4b76ac8e1799bc0365b52d47fc635d0bdb153f1754e6","sha256:3342fc7c463c330368a23905cc1eb1970f0425bbcc681c7c9a4b7b24f4202646"],"state_sha256":"f9d61a9801d0729b28e3b76af21491641b4bcc4ad065da59915f7b2f2d061ac6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZDCK9rgvETuzsyF6yffUdW64H7SrJ6ssIFSswO7JeBIAGjqSHR0tvYrgXLeabx/0Y1kGz8if+j6iBPXY54JDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T01:23:38.648117Z","bundle_sha256":"6fa6d7fa819186503278de73712e58ae335f16354ebfef7ad99556d549f9359f"}}