{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NOJDJLWZMCZPSYJPIYA4XZAHUG","short_pith_number":"pith:NOJDJLWZ","canonical_record":{"source":{"id":"1304.7579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-29T07:25:09Z","cross_cats_sorted":[],"title_canon_sha256":"6b24cd9e86e35fda3b01d217deb0ff80a5472691e0539a93c4f16d2f011b7780","abstract_canon_sha256":"a900d904495a845894da3d59a56543dfe0bcd42a44c7c21e220a3b8f592f486d"},"schema_version":"1.0"},"canonical_sha256":"6b9234aed960b2f9612f4601cbe407a18def3f5a4a83071ff01f9c1b2b5e49a9","source":{"kind":"arxiv","id":"1304.7579","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7579","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7579v1","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7579","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"pith_short_12","alias_value":"NOJDJLWZMCZP","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NOJDJLWZMCZPSYJP","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NOJDJLWZ","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NOJDJLWZMCZPSYJPIYA4XZAHUG","target":"record","payload":{"canonical_record":{"source":{"id":"1304.7579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-29T07:25:09Z","cross_cats_sorted":[],"title_canon_sha256":"6b24cd9e86e35fda3b01d217deb0ff80a5472691e0539a93c4f16d2f011b7780","abstract_canon_sha256":"a900d904495a845894da3d59a56543dfe0bcd42a44c7c21e220a3b8f592f486d"},"schema_version":"1.0"},"canonical_sha256":"6b9234aed960b2f9612f4601cbe407a18def3f5a4a83071ff01f9c1b2b5e49a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:05.686047Z","signature_b64":"Rjh7erl9WdX7p4m0a1F6BRyPAdZbkMtI9aUV13FbsLxiFJnBE5GugDcgmNM1h3wPEL8LveG/u1kLJPOzU7hxDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b9234aed960b2f9612f4601cbe407a18def3f5a4a83071ff01f9c1b2b5e49a9","last_reissued_at":"2026-05-18T03:02:05.685441Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:05.685441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.7579","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":"2026-05-18T03:02:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fRD2RJ1xuOCyh37LZQXe7XFr5AVW3QckMRh2OB6nEaj54wvdR9aGzP08jKh5bC9hrSP9mbjlHReBqET8mNQ9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:50:10.163195Z"},"content_sha256":"719f1b024eb5ad6c466ad3d8b7d253406b7ff32bf47af0f56e0c1e902f7d36f0","schema_version":"1.0","event_id":"sha256:719f1b024eb5ad6c466ad3d8b7d253406b7ff32bf47af0f56e0c1e902f7d36f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NOJDJLWZMCZPSYJPIYA4XZAHUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of Topological Defects in Abelian Topological States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Chao-Ming Jian, Maissam Barkeshli, Xiao-Liang Qi","submitted_at":"2013-04-29T07:25:09Z","abstract_excerpt":"In this paper we propose the most general classification of point-like and line-like extrinsic topological defects in (2+1)-dimensional Abelian topological states. We first map generic extrinsic defects to boundary defects, and then provide a classification of the latter. Based on this classification, the most generic point defects can be understood as domain walls between topologically distinct boundary regions. We show that topologically distinct boundaries can themselves be classified by certain maximal subgroups of mutually bosonic quasiparticles, called Lagrangian subgroups. We study the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7579","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":"2026-05-18T03:02:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xnpWxI613xVwLAJkjklf03+4BuoLPllb+o6hlMGiREtTKbBEsO84cD3XO9ldjIL3xTNAQ7P5yVge+sRyh5lGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:50:10.163578Z"},"content_sha256":"29e45dae158611494aa21998a5107b77a0f587ec6489aa21044e10f7639bb5e1","schema_version":"1.0","event_id":"sha256:29e45dae158611494aa21998a5107b77a0f587ec6489aa21044e10f7639bb5e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NOJDJLWZMCZPSYJPIYA4XZAHUG/bundle.json","state_url":"https://pith.science/pith/NOJDJLWZMCZPSYJPIYA4XZAHUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NOJDJLWZMCZPSYJPIYA4XZAHUG/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":"2026-05-27T00:50:10Z","links":{"resolver":"https://pith.science/pith/NOJDJLWZMCZPSYJPIYA4XZAHUG","bundle":"https://pith.science/pith/NOJDJLWZMCZPSYJPIYA4XZAHUG/bundle.json","state":"https://pith.science/pith/NOJDJLWZMCZPSYJPIYA4XZAHUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NOJDJLWZMCZPSYJPIYA4XZAHUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NOJDJLWZMCZPSYJPIYA4XZAHUG","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":"a900d904495a845894da3d59a56543dfe0bcd42a44c7c21e220a3b8f592f486d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-29T07:25:09Z","title_canon_sha256":"6b24cd9e86e35fda3b01d217deb0ff80a5472691e0539a93c4f16d2f011b7780"},"schema_version":"1.0","source":{"id":"1304.7579","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7579","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7579v1","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7579","created_at":"2026-05-18T03:02:05Z"},{"alias_kind":"pith_short_12","alias_value":"NOJDJLWZMCZP","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NOJDJLWZMCZPSYJP","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NOJDJLWZ","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:29e45dae158611494aa21998a5107b77a0f587ec6489aa21044e10f7639bb5e1","target":"graph","created_at":"2026-05-18T03:02:05Z","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":"In this paper we propose the most general classification of point-like and line-like extrinsic topological defects in (2+1)-dimensional Abelian topological states. We first map generic extrinsic defects to boundary defects, and then provide a classification of the latter. Based on this classification, the most generic point defects can be understood as domain walls between topologically distinct boundary regions. We show that topologically distinct boundaries can themselves be classified by certain maximal subgroups of mutually bosonic quasiparticles, called Lagrangian subgroups. We study the ","authors_text":"Chao-Ming Jian, Maissam Barkeshli, Xiao-Liang Qi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-29T07:25:09Z","title":"Classification of Topological Defects in Abelian Topological States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7579","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":"sha256:719f1b024eb5ad6c466ad3d8b7d253406b7ff32bf47af0f56e0c1e902f7d36f0","target":"record","created_at":"2026-05-18T03:02:05Z","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":"a900d904495a845894da3d59a56543dfe0bcd42a44c7c21e220a3b8f592f486d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-04-29T07:25:09Z","title_canon_sha256":"6b24cd9e86e35fda3b01d217deb0ff80a5472691e0539a93c4f16d2f011b7780"},"schema_version":"1.0","source":{"id":"1304.7579","kind":"arxiv","version":1}},"canonical_sha256":"6b9234aed960b2f9612f4601cbe407a18def3f5a4a83071ff01f9c1b2b5e49a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b9234aed960b2f9612f4601cbe407a18def3f5a4a83071ff01f9c1b2b5e49a9","first_computed_at":"2026-05-18T03:02:05.685441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:05.685441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rjh7erl9WdX7p4m0a1F6BRyPAdZbkMtI9aUV13FbsLxiFJnBE5GugDcgmNM1h3wPEL8LveG/u1kLJPOzU7hxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:05.686047Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7579","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:719f1b024eb5ad6c466ad3d8b7d253406b7ff32bf47af0f56e0c1e902f7d36f0","sha256:29e45dae158611494aa21998a5107b77a0f587ec6489aa21044e10f7639bb5e1"],"state_sha256":"7fef8cbd62b5fd6092f501c6940092c798f85d2520759a73e3ea9ea8a3e65540"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLDzSBuzMu9CkfprGUt7c7rtT+tiF4ckEnUKNw99z+v5RViEHsDimqNUOHOQlUIqGpin4b1JIvX6e2P+uw6rCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:50:10.167143Z","bundle_sha256":"0659a798475812f56d08ae293fcf4211fb0a8b7567958f9ac447bee77e7ade5c"}}