{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TWG7FCKDYHRA3LDCDAY3RNICTI","short_pith_number":"pith:TWG7FCKD","canonical_record":{"source":{"id":"1212.6395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-27T16:56:47Z","cross_cats_sorted":[],"title_canon_sha256":"a44d108608797ecd7d9ba7071ade45f35dda8d9f3efba5779fbbc477ec34b8d9","abstract_canon_sha256":"2c28cc1926a925aa809b3ed05794dc4b76dc35e9fbdd65a7ae106b67c778d649"},"schema_version":"1.0"},"canonical_sha256":"9d8df28943c1e20dac621831b8b5029a224127a2a2c91a85210a12518134ff67","source":{"kind":"arxiv","id":"1212.6395","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6395","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6395v1","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6395","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"TWG7FCKDYHRA","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TWG7FCKDYHRA3LDC","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TWG7FCKD","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TWG7FCKDYHRA3LDCDAY3RNICTI","target":"record","payload":{"canonical_record":{"source":{"id":"1212.6395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-27T16:56:47Z","cross_cats_sorted":[],"title_canon_sha256":"a44d108608797ecd7d9ba7071ade45f35dda8d9f3efba5779fbbc477ec34b8d9","abstract_canon_sha256":"2c28cc1926a925aa809b3ed05794dc4b76dc35e9fbdd65a7ae106b67c778d649"},"schema_version":"1.0"},"canonical_sha256":"9d8df28943c1e20dac621831b8b5029a224127a2a2c91a85210a12518134ff67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:21.547779Z","signature_b64":"stEeHJrQAASnFs9Sh49mHOqxfOETmMjJ8pf6U7jAOEHim3ISk5Oc0bIM0j2fP5WeNFfAel2z9lUG6qHLcxplBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d8df28943c1e20dac621831b8b5029a224127a2a2c91a85210a12518134ff67","last_reissued_at":"2026-05-18T03:21:21.547347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:21.547347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.6395","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":"2026-05-18T03:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ov4/7M4pG6G+JjrQFeRzXntf0WpZQilbw8yE1wlwVNBTJ1iIKJDPtjlZQpqWAw+sewPSb/0XvHNam9oCcLWGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:06:00.016699Z"},"content_sha256":"9e66f875032a2688345170dd8e676fb08dd7038b65fb4a3693bfa0aaef3a8a8b","schema_version":"1.0","event_id":"sha256:9e66f875032a2688345170dd8e676fb08dd7038b65fb4a3693bfa0aaef3a8a8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TWG7FCKDYHRA3LDCDAY3RNICTI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-Topological Phases of Matter and Topological Protection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Chetan Nayak, Parsa Bonderson","submitted_at":"2012-12-27T16:56:47Z","abstract_excerpt":"We discuss systems which have some, but not all of the hallmarks of topological phases. These systems' topological character is not fully captured by a local order parameter, but they are also not fully described at low energies by topological quantum field theories. For such systems, we formulate the concepts of quasi-topological phases (to be contrasted with true topological phases), and symmetry-protected quasi-topological phases. We describe examples of systems in each class and discuss the implications for topological protection of information and operations. We explain why topological ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6395","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":"2026-05-18T03:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rMEUbRG6xjDsqeSEzY9x0Zsya8FHzOa10uVc74n7wki0N+IUld/sf0czBNhzXayl8h7SOSdhtgMjSVKVU3GUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:06:00.017299Z"},"content_sha256":"ad29611d48600e8c135b3f6f042117e9f70a0cb80ffabf4001271629a76d218f","schema_version":"1.0","event_id":"sha256:ad29611d48600e8c135b3f6f042117e9f70a0cb80ffabf4001271629a76d218f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TWG7FCKDYHRA3LDCDAY3RNICTI/bundle.json","state_url":"https://pith.science/pith/TWG7FCKDYHRA3LDCDAY3RNICTI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TWG7FCKDYHRA3LDCDAY3RNICTI/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":"2026-05-26T16:06:00Z","links":{"resolver":"https://pith.science/pith/TWG7FCKDYHRA3LDCDAY3RNICTI","bundle":"https://pith.science/pith/TWG7FCKDYHRA3LDCDAY3RNICTI/bundle.json","state":"https://pith.science/pith/TWG7FCKDYHRA3LDCDAY3RNICTI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TWG7FCKDYHRA3LDCDAY3RNICTI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TWG7FCKDYHRA3LDCDAY3RNICTI","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":"2c28cc1926a925aa809b3ed05794dc4b76dc35e9fbdd65a7ae106b67c778d649","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-27T16:56:47Z","title_canon_sha256":"a44d108608797ecd7d9ba7071ade45f35dda8d9f3efba5779fbbc477ec34b8d9"},"schema_version":"1.0","source":{"id":"1212.6395","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6395","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6395v1","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6395","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"TWG7FCKDYHRA","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TWG7FCKDYHRA3LDC","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TWG7FCKD","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:ad29611d48600e8c135b3f6f042117e9f70a0cb80ffabf4001271629a76d218f","target":"graph","created_at":"2026-05-18T03:21:21Z","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 discuss systems which have some, but not all of the hallmarks of topological phases. These systems' topological character is not fully captured by a local order parameter, but they are also not fully described at low energies by topological quantum field theories. For such systems, we formulate the concepts of quasi-topological phases (to be contrasted with true topological phases), and symmetry-protected quasi-topological phases. We describe examples of systems in each class and discuss the implications for topological protection of information and operations. We explain why topological ph","authors_text":"Chetan Nayak, Parsa Bonderson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-27T16:56:47Z","title":"Quasi-Topological Phases of Matter and Topological Protection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6395","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":"sha256:9e66f875032a2688345170dd8e676fb08dd7038b65fb4a3693bfa0aaef3a8a8b","target":"record","created_at":"2026-05-18T03:21:21Z","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":"2c28cc1926a925aa809b3ed05794dc4b76dc35e9fbdd65a7ae106b67c778d649","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-27T16:56:47Z","title_canon_sha256":"a44d108608797ecd7d9ba7071ade45f35dda8d9f3efba5779fbbc477ec34b8d9"},"schema_version":"1.0","source":{"id":"1212.6395","kind":"arxiv","version":1}},"canonical_sha256":"9d8df28943c1e20dac621831b8b5029a224127a2a2c91a85210a12518134ff67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d8df28943c1e20dac621831b8b5029a224127a2a2c91a85210a12518134ff67","first_computed_at":"2026-05-18T03:21:21.547347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:21.547347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"stEeHJrQAASnFs9Sh49mHOqxfOETmMjJ8pf6U7jAOEHim3ISk5Oc0bIM0j2fP5WeNFfAel2z9lUG6qHLcxplBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:21.547779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6395","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e66f875032a2688345170dd8e676fb08dd7038b65fb4a3693bfa0aaef3a8a8b","sha256:ad29611d48600e8c135b3f6f042117e9f70a0cb80ffabf4001271629a76d218f"],"state_sha256":"9a52f21842edc2988242eede7a94478646c543379b6bb5f9f2efb8a52b3aae7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O3FtxUFn2XcV6KtY5F0MejF1kN8FE6rLgBBrZ0ljcd+bmGXxCmP4WnywLpmKeOJmz8DeWxmobK9uifd5qpVFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:06:00.020835Z","bundle_sha256":"1c099a72f0aaff9446815b3b694c0bc24f525196137595f562c35eb9a77b074c"}}