{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:Z5II4VYV5RXJTXQLXOS56ZJNI7","short_pith_number":"pith:Z5II4VYV","canonical_record":{"source":{"id":"1602.05577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-02-17T21:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c92fa16b96830c42ce28e7a241f8644189c06f84a136a2e303a7f8dd9bf38e1b","abstract_canon_sha256":"1da5a14571d5643845c170bbefde00635459398bc35e66f7be6b89124489c42a"},"schema_version":"1.0"},"canonical_sha256":"cf508e5715ec6e99de0bbba5df652d47e3feb36ad6ecae30baaba8ab8c1e8df3","source":{"kind":"arxiv","id":"1602.05577","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05577","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05577v1","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05577","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"Z5II4VYV5RXJ","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Z5II4VYV5RXJTXQL","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Z5II4VYV","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:Z5II4VYV5RXJTXQLXOS56ZJNI7","target":"record","payload":{"canonical_record":{"source":{"id":"1602.05577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-02-17T21:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c92fa16b96830c42ce28e7a241f8644189c06f84a136a2e303a7f8dd9bf38e1b","abstract_canon_sha256":"1da5a14571d5643845c170bbefde00635459398bc35e66f7be6b89124489c42a"},"schema_version":"1.0"},"canonical_sha256":"cf508e5715ec6e99de0bbba5df652d47e3feb36ad6ecae30baaba8ab8c1e8df3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:48.927004Z","signature_b64":"UiM8PUtDJ3zu24h8oqNN4Vbk2SGeAkatu6X14PNWLdp2CtIq4KwdP3yuZb5A7V4p1jti5Cp3OC/IXh8K4zYBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf508e5715ec6e99de0bbba5df652d47e3feb36ad6ecae30baaba8ab8c1e8df3","last_reissued_at":"2026-05-18T01:12:48.926667Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:48.926667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.05577","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":"2026-05-18T01:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FZwGqFFFQ8BIJF2+3vfY0g3YjMnCHuqbo18/bUmxABm8sazqKjNtY1i96TgmdNe2gwRSdodC6dqkxKfNMiynAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:18:31.887329Z"},"content_sha256":"8e19dcdca0064957badd01e9ab8783c048e1b4c383072d1dfab8a8f119c4d187","schema_version":"1.0","event_id":"sha256:8e19dcdca0064957badd01e9ab8783c048e1b4c383072d1dfab8a8f119c4d187"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:Z5II4VYV5RXJTXQLXOS56ZJNI7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Number of Edge States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"Koji Hashimoto, Taro Kimura","submitted_at":"2016-02-17T21:00:01Z","abstract_excerpt":"We show that the edge states of the four-dimensional class A system can have topological charges, which are characterized by Abelian/non-Abelian monopoles. The edge topological charges are a new feature of relations among theories with different dimensions. From this novel viewpoint, we provide a non-Abelian analogue of the TKNN number as an edge topological charge, which is defined by an SU(2) 't Hooft-Polyakov BPS monopole through an equivalence to Nahm construction. Furthermore, putting a constant magnetic field yields an edge monopole in a non-commutative momentum space, where D-brane meth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05577","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":"2026-05-18T01:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NjXB9FQbC/OUi03J9pnA+Z62znifYvHSm5D0Jo5Uqx1ym/NpM3dNChcqp+qS6VG5en2teJRUT3e5sQA16tsgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:18:31.887738Z"},"content_sha256":"ac86ccb9f8edf40fcba941dbce7a0a4718acc8b2f3c74611a518de500eeeff92","schema_version":"1.0","event_id":"sha256:ac86ccb9f8edf40fcba941dbce7a0a4718acc8b2f3c74611a518de500eeeff92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/bundle.json","state_url":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/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":"2026-05-26T20:18:31Z","links":{"resolver":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7","bundle":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/bundle.json","state":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Z5II4VYV5RXJTXQLXOS56ZJNI7","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":"1da5a14571d5643845c170bbefde00635459398bc35e66f7be6b89124489c42a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-02-17T21:00:01Z","title_canon_sha256":"c92fa16b96830c42ce28e7a241f8644189c06f84a136a2e303a7f8dd9bf38e1b"},"schema_version":"1.0","source":{"id":"1602.05577","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05577","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05577v1","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05577","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"Z5II4VYV5RXJ","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Z5II4VYV5RXJTXQL","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Z5II4VYV","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:ac86ccb9f8edf40fcba941dbce7a0a4718acc8b2f3c74611a518de500eeeff92","target":"graph","created_at":"2026-05-18T01:12:48Z","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 show that the edge states of the four-dimensional class A system can have topological charges, which are characterized by Abelian/non-Abelian monopoles. The edge topological charges are a new feature of relations among theories with different dimensions. From this novel viewpoint, we provide a non-Abelian analogue of the TKNN number as an edge topological charge, which is defined by an SU(2) 't Hooft-Polyakov BPS monopole through an equivalence to Nahm construction. Furthermore, putting a constant magnetic field yields an edge monopole in a non-commutative momentum space, where D-brane meth","authors_text":"Koji Hashimoto, Taro Kimura","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-02-17T21:00:01Z","title":"Topological Number of Edge States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05577","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":"sha256:8e19dcdca0064957badd01e9ab8783c048e1b4c383072d1dfab8a8f119c4d187","target":"record","created_at":"2026-05-18T01:12:48Z","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":"1da5a14571d5643845c170bbefde00635459398bc35e66f7be6b89124489c42a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-02-17T21:00:01Z","title_canon_sha256":"c92fa16b96830c42ce28e7a241f8644189c06f84a136a2e303a7f8dd9bf38e1b"},"schema_version":"1.0","source":{"id":"1602.05577","kind":"arxiv","version":1}},"canonical_sha256":"cf508e5715ec6e99de0bbba5df652d47e3feb36ad6ecae30baaba8ab8c1e8df3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf508e5715ec6e99de0bbba5df652d47e3feb36ad6ecae30baaba8ab8c1e8df3","first_computed_at":"2026-05-18T01:12:48.926667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:48.926667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UiM8PUtDJ3zu24h8oqNN4Vbk2SGeAkatu6X14PNWLdp2CtIq4KwdP3yuZb5A7V4p1jti5Cp3OC/IXh8K4zYBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:48.927004Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.05577","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e19dcdca0064957badd01e9ab8783c048e1b4c383072d1dfab8a8f119c4d187","sha256:ac86ccb9f8edf40fcba941dbce7a0a4718acc8b2f3c74611a518de500eeeff92"],"state_sha256":"8409ec0df702fdbb9a8430ef94c5d2758332d55e147d77ce2ac02e3cc217e0e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1x6uUOBEc7Ds0t7qOtYmvaYtumY8UBRZx6IDmtpHvNONrA8nYaSpRRUzhJl/8QAuYEoVX0olHp5j+8Ao7G1yDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:18:31.891062Z","bundle_sha256":"d5d4647ff1c443ab22c822250d1c5624e96940d2bd8cfda010d9e4b0aff077ec"}}