{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OWJ4OW2M3XS6WAYGI32TXMV23T","short_pith_number":"pith:OWJ4OW2M","canonical_record":{"source":{"id":"1508.07528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-30T04:09:39Z","cross_cats_sorted":[],"title_canon_sha256":"5019827f7980a250df93157798ce8f679de496f57cb507e585711674a8679aa6","abstract_canon_sha256":"d22fd02199b64042dca674172b7632e8d5f8ce902ba439a23c2c0b935bdd3412"},"schema_version":"1.0"},"canonical_sha256":"7593c75b4cdde5eb030646f53bb2badce3491015e0a6ee23da76963ddbc7a3e4","source":{"kind":"arxiv","id":"1508.07528","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07528","created_at":"2026-05-18T01:14:03Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07528v1","created_at":"2026-05-18T01:14:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07528","created_at":"2026-05-18T01:14:03Z"},{"alias_kind":"pith_short_12","alias_value":"OWJ4OW2M3XS6","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OWJ4OW2M3XS6WAYG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OWJ4OW2M","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OWJ4OW2M3XS6WAYGI32TXMV23T","target":"record","payload":{"canonical_record":{"source":{"id":"1508.07528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-30T04:09:39Z","cross_cats_sorted":[],"title_canon_sha256":"5019827f7980a250df93157798ce8f679de496f57cb507e585711674a8679aa6","abstract_canon_sha256":"d22fd02199b64042dca674172b7632e8d5f8ce902ba439a23c2c0b935bdd3412"},"schema_version":"1.0"},"canonical_sha256":"7593c75b4cdde5eb030646f53bb2badce3491015e0a6ee23da76963ddbc7a3e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:03.513905Z","signature_b64":"Al8NRNWWbD9PHsmQBSw7ZfYYWrh1utMNucTn/b0EeKu3ITs5Z+28XHB9dpDktXFjtg/FU6tt4s6a0ykH7NehBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7593c75b4cdde5eb030646f53bb2badce3491015e0a6ee23da76963ddbc7a3e4","last_reissued_at":"2026-05-18T01:14:03.513274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:03.513274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.07528","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":"2026-05-18T01:14:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/RFCvcFAbLX7gHK2UP/kQpaLdZ+r5NlqFq7WcnZopXlBreX8szEJtmYW6zAs1H8q3qC1iePeHzUVWmBWURKuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T18:39:03.936759Z"},"content_sha256":"5c55f4835569b406bac438de345069f604e026a573b1b6382a0c03a6a6270161","schema_version":"1.0","event_id":"sha256:5c55f4835569b406bac438de345069f604e026a573b1b6382a0c03a6a6270161"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OWJ4OW2M3XS6WAYGI32TXMV23T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry Protected Topological Phases and Majorana Mode in One-dimensional Quantum Walk with Boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ho Tat Lam, Kwok Yip Szeto, Yue Yu","submitted_at":"2015-08-30T04:09:39Z","abstract_excerpt":"The topological phases in one-dimensional quantum walk can be classified by the coin parameters. By solving for the general exact solutions of bound states in one-dimensional quantum walk with boundaries specified by different coin parameters, we show that these bound states are Majorana modes with quasi-energy $E=0,\\pi$. These modes are qualitatively different for different boundary conditions used. For two-boundary system with symmetric boundary conditions, the interaction energy between two Majorana bound states can be computed, as in the case of a finite wire. Suggestion of observing these"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07528","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":"2026-05-18T01:14:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OwzhJkJ0bws+GfcbB0Z7FpaoaWYsupomO6vQXOH6VzfWSG3oBUdW3298xi5HbZmEeOUwlyNqErTt0pZB6aopDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T18:39:03.937118Z"},"content_sha256":"4d15b002b7fb97a11a085ac0071254b6d9e222c4e74a9399146c1ba8c5a78095","schema_version":"1.0","event_id":"sha256:4d15b002b7fb97a11a085ac0071254b6d9e222c4e74a9399146c1ba8c5a78095"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWJ4OW2M3XS6WAYGI32TXMV23T/bundle.json","state_url":"https://pith.science/pith/OWJ4OW2M3XS6WAYGI32TXMV23T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWJ4OW2M3XS6WAYGI32TXMV23T/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":"2026-05-22T18:39:03Z","links":{"resolver":"https://pith.science/pith/OWJ4OW2M3XS6WAYGI32TXMV23T","bundle":"https://pith.science/pith/OWJ4OW2M3XS6WAYGI32TXMV23T/bundle.json","state":"https://pith.science/pith/OWJ4OW2M3XS6WAYGI32TXMV23T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWJ4OW2M3XS6WAYGI32TXMV23T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OWJ4OW2M3XS6WAYGI32TXMV23T","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":"d22fd02199b64042dca674172b7632e8d5f8ce902ba439a23c2c0b935bdd3412","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-30T04:09:39Z","title_canon_sha256":"5019827f7980a250df93157798ce8f679de496f57cb507e585711674a8679aa6"},"schema_version":"1.0","source":{"id":"1508.07528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07528","created_at":"2026-05-18T01:14:03Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07528v1","created_at":"2026-05-18T01:14:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07528","created_at":"2026-05-18T01:14:03Z"},{"alias_kind":"pith_short_12","alias_value":"OWJ4OW2M3XS6","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OWJ4OW2M3XS6WAYG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OWJ4OW2M","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:4d15b002b7fb97a11a085ac0071254b6d9e222c4e74a9399146c1ba8c5a78095","target":"graph","created_at":"2026-05-18T01:14:03Z","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 topological phases in one-dimensional quantum walk can be classified by the coin parameters. By solving for the general exact solutions of bound states in one-dimensional quantum walk with boundaries specified by different coin parameters, we show that these bound states are Majorana modes with quasi-energy $E=0,\\pi$. These modes are qualitatively different for different boundary conditions used. For two-boundary system with symmetric boundary conditions, the interaction energy between two Majorana bound states can be computed, as in the case of a finite wire. Suggestion of observing these","authors_text":"Ho Tat Lam, Kwok Yip Szeto, Yue Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-30T04:09:39Z","title":"Symmetry Protected Topological Phases and Majorana Mode in One-dimensional Quantum Walk with Boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07528","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":"sha256:5c55f4835569b406bac438de345069f604e026a573b1b6382a0c03a6a6270161","target":"record","created_at":"2026-05-18T01:14:03Z","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":"d22fd02199b64042dca674172b7632e8d5f8ce902ba439a23c2c0b935bdd3412","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-30T04:09:39Z","title_canon_sha256":"5019827f7980a250df93157798ce8f679de496f57cb507e585711674a8679aa6"},"schema_version":"1.0","source":{"id":"1508.07528","kind":"arxiv","version":1}},"canonical_sha256":"7593c75b4cdde5eb030646f53bb2badce3491015e0a6ee23da76963ddbc7a3e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7593c75b4cdde5eb030646f53bb2badce3491015e0a6ee23da76963ddbc7a3e4","first_computed_at":"2026-05-18T01:14:03.513274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:03.513274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Al8NRNWWbD9PHsmQBSw7ZfYYWrh1utMNucTn/b0EeKu3ITs5Z+28XHB9dpDktXFjtg/FU6tt4s6a0ykH7NehBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:03.513905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c55f4835569b406bac438de345069f604e026a573b1b6382a0c03a6a6270161","sha256:4d15b002b7fb97a11a085ac0071254b6d9e222c4e74a9399146c1ba8c5a78095"],"state_sha256":"5506cf73251b52d2f742ec7b1080bfdee87b02dab4f032234a8605022dfdd1b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qKfMNyQIMIvLiqwgyx2HeDKdY6oO4hpt36BLCUL+zjMj2RuAAsvWXioj2+n7wHEqqapOsQgHgexnCzFoHl1oAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T18:39:03.940435Z","bundle_sha256":"541eb2630072173d23538648bafa71996f8a84c3c63a165b027f80d61ac73208"}}