{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:P3EWCLMMJHDC2ME5JTZL77MSAF","short_pith_number":"pith:P3EWCLMM","canonical_record":{"source":{"id":"1806.01111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-16T12:52:49Z","cross_cats_sorted":[],"title_canon_sha256":"f9a756280925c98f2b6a0fb3cf12985d1931fe19ee3b3078a07c4ce001141387","abstract_canon_sha256":"72fe194f3feb332590c4497274441571ea9b46548f88495b4b81e6e0d452df7f"},"schema_version":"1.0"},"canonical_sha256":"7ec9612d8c49c62d309d4cf2bffd92016d96ec2d323e3a39cd993fbfb9a735f0","source":{"kind":"arxiv","id":"1806.01111","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01111","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01111v1","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01111","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"pith_short_12","alias_value":"P3EWCLMMJHDC","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P3EWCLMMJHDC2ME5","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P3EWCLMM","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:P3EWCLMMJHDC2ME5JTZL77MSAF","target":"record","payload":{"canonical_record":{"source":{"id":"1806.01111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-16T12:52:49Z","cross_cats_sorted":[],"title_canon_sha256":"f9a756280925c98f2b6a0fb3cf12985d1931fe19ee3b3078a07c4ce001141387","abstract_canon_sha256":"72fe194f3feb332590c4497274441571ea9b46548f88495b4b81e6e0d452df7f"},"schema_version":"1.0"},"canonical_sha256":"7ec9612d8c49c62d309d4cf2bffd92016d96ec2d323e3a39cd993fbfb9a735f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:03.927726Z","signature_b64":"QM0eE73oHW4UlNsE8zV/P6EowT3dtgJQqMNRfJ+yWNQdyfxRSMwPkf0hqgFdPX5PMV4LAVEgfM76xHx4Sze8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ec9612d8c49c62d309d4cf2bffd92016d96ec2d323e3a39cd993fbfb9a735f0","last_reissued_at":"2026-05-18T00:13:03.927187Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:03.927187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.01111","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":"2026-05-18T00:13:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHek6xo1zCcoaOSDHDiOGtQSmYKR7QIvJI3wXVxWJhLVcUk0o36nnqhzSWLWQhAd+9qdJ8iJWIUyIAAvP4lOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T16:11:34.825285Z"},"content_sha256":"5b2dc886f09c7730b412f6b171dff70e414ab9356fec2b0d13b5f3a44a0df57e","schema_version":"1.0","event_id":"sha256:5b2dc886f09c7730b412f6b171dff70e414ab9356fec2b0d13b5f3a44a0df57e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:P3EWCLMMJHDC2ME5JTZL77MSAF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Bal\\'azs Het\\'enyi, Mohammad Yahyavi, Sina Gholizadeh","submitted_at":"2018-05-16T12:52:49Z","abstract_excerpt":"We construct a topological ladder model, one-dimensional, following the steps which lead to the Kane-Mele model in two dimensions. Starting with a Creutz ladder we modify it so that the gap closure points can occur at either $k = \\pi / 2$ or $-\\pi/2$. We then couple two such models, one for each spin channel, in such a way that time-reversal invariance is restored. We also add a Rashba spin-orbit coupling term. The model falls in the CII symmetry class. We derive the relevant $2\\mathbb{Z}$ topological index, calculate the phase diagram and demonstrate the existence of edge states. We also give"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01111","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":"2026-05-18T00:13:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NSVqXAYj8/FAensI7cIr/2dN+98QVzW43pPm4+JtvrRIAlswk/aQPPH/TA4aVWzaLF7Bw/p+IG9YemXk0yNQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T16:11:34.825891Z"},"content_sha256":"14bf5192a8f416dd169d39b612767daff90c06cab700d5892d4e6f081a0c915a","schema_version":"1.0","event_id":"sha256:14bf5192a8f416dd169d39b612767daff90c06cab700d5892d4e6f081a0c915a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P3EWCLMMJHDC2ME5JTZL77MSAF/bundle.json","state_url":"https://pith.science/pith/P3EWCLMMJHDC2ME5JTZL77MSAF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P3EWCLMMJHDC2ME5JTZL77MSAF/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":"2026-05-21T16:11:34Z","links":{"resolver":"https://pith.science/pith/P3EWCLMMJHDC2ME5JTZL77MSAF","bundle":"https://pith.science/pith/P3EWCLMMJHDC2ME5JTZL77MSAF/bundle.json","state":"https://pith.science/pith/P3EWCLMMJHDC2ME5JTZL77MSAF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P3EWCLMMJHDC2ME5JTZL77MSAF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:P3EWCLMMJHDC2ME5JTZL77MSAF","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":"72fe194f3feb332590c4497274441571ea9b46548f88495b4b81e6e0d452df7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-16T12:52:49Z","title_canon_sha256":"f9a756280925c98f2b6a0fb3cf12985d1931fe19ee3b3078a07c4ce001141387"},"schema_version":"1.0","source":{"id":"1806.01111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01111","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01111v1","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01111","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"pith_short_12","alias_value":"P3EWCLMMJHDC","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P3EWCLMMJHDC2ME5","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P3EWCLMM","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:14bf5192a8f416dd169d39b612767daff90c06cab700d5892d4e6f081a0c915a","target":"graph","created_at":"2026-05-18T00:13:03Z","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":"We construct a topological ladder model, one-dimensional, following the steps which lead to the Kane-Mele model in two dimensions. Starting with a Creutz ladder we modify it so that the gap closure points can occur at either $k = \\pi / 2$ or $-\\pi/2$. We then couple two such models, one for each spin channel, in such a way that time-reversal invariance is restored. We also add a Rashba spin-orbit coupling term. The model falls in the CII symmetry class. We derive the relevant $2\\mathbb{Z}$ topological index, calculate the phase diagram and demonstrate the existence of edge states. We also give","authors_text":"Bal\\'azs Het\\'enyi, Mohammad Yahyavi, Sina Gholizadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-16T12:52:49Z","title":"Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01111","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":"sha256:5b2dc886f09c7730b412f6b171dff70e414ab9356fec2b0d13b5f3a44a0df57e","target":"record","created_at":"2026-05-18T00:13:03Z","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":"72fe194f3feb332590c4497274441571ea9b46548f88495b4b81e6e0d452df7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-16T12:52:49Z","title_canon_sha256":"f9a756280925c98f2b6a0fb3cf12985d1931fe19ee3b3078a07c4ce001141387"},"schema_version":"1.0","source":{"id":"1806.01111","kind":"arxiv","version":1}},"canonical_sha256":"7ec9612d8c49c62d309d4cf2bffd92016d96ec2d323e3a39cd993fbfb9a735f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ec9612d8c49c62d309d4cf2bffd92016d96ec2d323e3a39cd993fbfb9a735f0","first_computed_at":"2026-05-18T00:13:03.927187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:03.927187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QM0eE73oHW4UlNsE8zV/P6EowT3dtgJQqMNRfJ+yWNQdyfxRSMwPkf0hqgFdPX5PMV4LAVEgfM76xHx4Sze8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:03.927726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b2dc886f09c7730b412f6b171dff70e414ab9356fec2b0d13b5f3a44a0df57e","sha256:14bf5192a8f416dd169d39b612767daff90c06cab700d5892d4e6f081a0c915a"],"state_sha256":"4f4e5a302a037d9b4fd9ccdba004b971b73cf6fa30ddb3a1d1b181acb5df886c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ln8cwA8jnm9kvVPr342GmkgskMB1hWo+Jw3ZdhC3b6Xf/RMRrbxXjAe2+mtDZyqM8bCEEaT+7T+ewqpcIZXgDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T16:11:34.828095Z","bundle_sha256":"d89d2cecedca2bfb2542ab49d7a043d75260ad3ba94f397ac3b9a7eb2fe32860"}}