{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:TXURWN2JVQYRLA5FGXIYMFZUTQ","short_pith_number":"pith:TXURWN2J","canonical_record":{"source":{"id":"2512.21179","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-12-24T13:59:13Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e5c510811d3fe74aa9483eb42ffceeb03063d735fb652da3b2cb2a55b931b9f8","abstract_canon_sha256":"f6ff62fc282b66a34d9e23143361dde0863ea7cf9eaf582a20c665d420a94f6e"},"schema_version":"1.0"},"canonical_sha256":"9de91b3749ac311583a535d18617349c1bf68414c99783b678ee6286c79a6401","source":{"kind":"arxiv","id":"2512.21179","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.21179","created_at":"2026-05-17T23:39:16Z"},{"alias_kind":"arxiv_version","alias_value":"2512.21179v3","created_at":"2026-05-17T23:39:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.21179","created_at":"2026-05-17T23:39:16Z"},{"alias_kind":"pith_short_12","alias_value":"TXURWN2JVQYR","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"TXURWN2JVQYRLA5F","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"TXURWN2J","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:TXURWN2JVQYRLA5FGXIYMFZUTQ","target":"record","payload":{"canonical_record":{"source":{"id":"2512.21179","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-12-24T13:59:13Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e5c510811d3fe74aa9483eb42ffceeb03063d735fb652da3b2cb2a55b931b9f8","abstract_canon_sha256":"f6ff62fc282b66a34d9e23143361dde0863ea7cf9eaf582a20c665d420a94f6e"},"schema_version":"1.0"},"canonical_sha256":"9de91b3749ac311583a535d18617349c1bf68414c99783b678ee6286c79a6401","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:16.812190Z","signature_b64":"DtQha/gpoxHapViXnuNTQ+laNZJUiCYOS6s4b5Dxv0L9D+LVoD+/zzL+j6jQ0xmIMdwNXQPHhHIbwVjtxLEOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9de91b3749ac311583a535d18617349c1bf68414c99783b678ee6286c79a6401","last_reissued_at":"2026-05-17T23:39:16.811496Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:16.811496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.21179","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KlyIDZXKHqtTBe1hL2+uZQb5VmCO5ZhiaJ71c6HK0GGXwCDLbVuHmPctJiiiSwQeRZnSYlUyDZeqcdc+dZHOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:22:54.155656Z"},"content_sha256":"d5c7fcfd763a4fe1dae9522d50b9f85a45a17440bbcef6b9b71f3e10cf2822f7","schema_version":"1.0","event_id":"sha256:d5c7fcfd763a4fe1dae9522d50b9f85a45a17440bbcef6b9b71f3e10cf2822f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:TXURWN2JVQYRLA5FGXIYMFZUTQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coupled-wire construction of non-Abelian higher-order topological phases","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial.","cross_cats":["quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Jiaxin Pan, Longwen Zhou","submitted_at":"2025-12-24T13:59:13Z","abstract_excerpt":"Non-Abelian topological charges (NATCs), characterized by their noncommutative algebra, offer a framework for describing multigap topological phases beyond conventional Abelian invariants. While higher-order topological phases (HOTPs) host boundary states at corners or hinges, their characterization has largely relied on Abelian invariants such as winding and Chern numbers. Here, we propose a coupled-wire scheme of constructing non-Abelian HOTPs and analyze a non-Abelian second-order topological insulator as its minimal model. The resulting Hamiltonian supports hybridized corner modes, protect"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The resulting Hamiltonian supports hybridized corner modes, protected by parity-time-reversal plus sublattice symmetries and described by a topological vector that unites a non-Abelian quaternion charge with an Abelian winding number. Corner states emerge only when both invariants are nontrivial.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The coupled-wire arrangement can be tuned to realize a stable non-Abelian quaternion charge whose associated corner modes remain gapless under the stated symmetries without additional interactions or disorder that would gap them.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Coupled-wire construction produces non-Abelian second-order topological insulators in which hybridized corner states appear only when both a quaternion charge and a winding number are nontrivial.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9d6db9a45f42ac7e64ac7440b491b063cb47c2902bdea0ed0281993ba58d4c26"},"source":{"id":"2512.21179","kind":"arxiv","version":3},"verdict":{"id":"381f5cc5-7692-48b7-83c9-1adace1c5023","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T19:35:47.311787Z","strongest_claim":"The resulting Hamiltonian supports hybridized corner modes, protected by parity-time-reversal plus sublattice symmetries and described by a topological vector that unites a non-Abelian quaternion charge with an Abelian winding number. Corner states emerge only when both invariants are nontrivial.","one_line_summary":"Coupled-wire construction produces non-Abelian second-order topological insulators in which hybridized corner states appear only when both a quaternion charge and a winding number are nontrivial.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The coupled-wire arrangement can be tuned to realize a stable non-Abelian quaternion charge whose associated corner modes remain gapless under the stated symmetries without additional interactions or disorder that would gap them.","pith_extraction_headline":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial."},"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":"381f5cc5-7692-48b7-83c9-1adace1c5023"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VCw1/iLD84xMa2Alta0+am09I7JJv7XqgGwTPBlnOhGJpm7gWLAod0IKqWnlh+jU9b3e0E+38ppzpDPrXGYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:22:54.156096Z"},"content_sha256":"fa3e3214e7f5258cd23b504c16beeadb8476deef562385e616c9eb940b9ba07d","schema_version":"1.0","event_id":"sha256:fa3e3214e7f5258cd23b504c16beeadb8476deef562385e616c9eb940b9ba07d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TXURWN2JVQYRLA5FGXIYMFZUTQ/bundle.json","state_url":"https://pith.science/pith/TXURWN2JVQYRLA5FGXIYMFZUTQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TXURWN2JVQYRLA5FGXIYMFZUTQ/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":"2026-06-01T05:22:54Z","links":{"resolver":"https://pith.science/pith/TXURWN2JVQYRLA5FGXIYMFZUTQ","bundle":"https://pith.science/pith/TXURWN2JVQYRLA5FGXIYMFZUTQ/bundle.json","state":"https://pith.science/pith/TXURWN2JVQYRLA5FGXIYMFZUTQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TXURWN2JVQYRLA5FGXIYMFZUTQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TXURWN2JVQYRLA5FGXIYMFZUTQ","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":"f6ff62fc282b66a34d9e23143361dde0863ea7cf9eaf582a20c665d420a94f6e","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-12-24T13:59:13Z","title_canon_sha256":"e5c510811d3fe74aa9483eb42ffceeb03063d735fb652da3b2cb2a55b931b9f8"},"schema_version":"1.0","source":{"id":"2512.21179","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.21179","created_at":"2026-05-17T23:39:16Z"},{"alias_kind":"arxiv_version","alias_value":"2512.21179v3","created_at":"2026-05-17T23:39:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.21179","created_at":"2026-05-17T23:39:16Z"},{"alias_kind":"pith_short_12","alias_value":"TXURWN2JVQYR","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"TXURWN2JVQYRLA5F","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"TXURWN2J","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:fa3e3214e7f5258cd23b504c16beeadb8476deef562385e616c9eb940b9ba07d","target":"graph","created_at":"2026-05-17T23:39:16Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The resulting Hamiltonian supports hybridized corner modes, protected by parity-time-reversal plus sublattice symmetries and described by a topological vector that unites a non-Abelian quaternion charge with an Abelian winding number. Corner states emerge only when both invariants are nontrivial."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The coupled-wire arrangement can be tuned to realize a stable non-Abelian quaternion charge whose associated corner modes remain gapless under the stated symmetries without additional interactions or disorder that would gap them."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Coupled-wire construction produces non-Abelian second-order topological insulators in which hybridized corner states appear only when both a quaternion charge and a winding number are nontrivial."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial."}],"snapshot_sha256":"9d6db9a45f42ac7e64ac7440b491b063cb47c2902bdea0ed0281993ba58d4c26"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Non-Abelian topological charges (NATCs), characterized by their noncommutative algebra, offer a framework for describing multigap topological phases beyond conventional Abelian invariants. While higher-order topological phases (HOTPs) host boundary states at corners or hinges, their characterization has largely relied on Abelian invariants such as winding and Chern numbers. Here, we propose a coupled-wire scheme of constructing non-Abelian HOTPs and analyze a non-Abelian second-order topological insulator as its minimal model. The resulting Hamiltonian supports hybridized corner modes, protect","authors_text":"Jiaxin Pan, Longwen Zhou","cross_cats":["quant-ph"],"headline":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-12-24T13:59:13Z","title":"Coupled-wire construction of non-Abelian higher-order topological phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.21179","kind":"arxiv","version":3},"verdict":{"created_at":"2026-05-16T19:35:47.311787Z","id":"381f5cc5-7692-48b7-83c9-1adace1c5023","model_set":{"reader":"grok-4.3"},"one_line_summary":"Coupled-wire construction produces non-Abelian second-order topological insulators in which hybridized corner states appear only when both a quaternion charge and a winding number are nontrivial.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial.","strongest_claim":"The resulting Hamiltonian supports hybridized corner modes, protected by parity-time-reversal plus sublattice symmetries and described by a topological vector that unites a non-Abelian quaternion charge with an Abelian winding number. Corner states emerge only when both invariants are nontrivial.","weakest_assumption":"The coupled-wire arrangement can be tuned to realize a stable non-Abelian quaternion charge whose associated corner modes remain gapless under the stated symmetries without additional interactions or disorder that would gap them."}},"verdict_id":"381f5cc5-7692-48b7-83c9-1adace1c5023"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d5c7fcfd763a4fe1dae9522d50b9f85a45a17440bbcef6b9b71f3e10cf2822f7","target":"record","created_at":"2026-05-17T23:39:16Z","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":"f6ff62fc282b66a34d9e23143361dde0863ea7cf9eaf582a20c665d420a94f6e","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-12-24T13:59:13Z","title_canon_sha256":"e5c510811d3fe74aa9483eb42ffceeb03063d735fb652da3b2cb2a55b931b9f8"},"schema_version":"1.0","source":{"id":"2512.21179","kind":"arxiv","version":3}},"canonical_sha256":"9de91b3749ac311583a535d18617349c1bf68414c99783b678ee6286c79a6401","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9de91b3749ac311583a535d18617349c1bf68414c99783b678ee6286c79a6401","first_computed_at":"2026-05-17T23:39:16.811496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:16.811496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DtQha/gpoxHapViXnuNTQ+laNZJUiCYOS6s4b5Dxv0L9D+LVoD+/zzL+j6jQ0xmIMdwNXQPHhHIbwVjtxLEOBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:16.812190Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.21179","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5c7fcfd763a4fe1dae9522d50b9f85a45a17440bbcef6b9b71f3e10cf2822f7","sha256:fa3e3214e7f5258cd23b504c16beeadb8476deef562385e616c9eb940b9ba07d"],"state_sha256":"cd7b941e936e5a2bc8bf82e47d2dde9e31520b2ae181ba5b8d03b55cd5b0daf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oShfGWx/rgFQ1pcPXqdd0EjlgZNLkPD/mRxe06W0hmWN1gnb12UwBPoAyl5KjByO+tTRPAvGfhbEZFwDb8uBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:22:54.158948Z","bundle_sha256":"98815873d22a42689a3d0ee8acf06fdc298b92305e774a32f4ecb1783f497328"}}