{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MVZSVPABJGBGTZH7VD3POEOF6R","short_pith_number":"pith:MVZSVPAB","canonical_record":{"source":{"id":"1712.02952","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-08T06:15:18Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.OA"],"title_canon_sha256":"845d589e4b9e3c5b9a5d7979191d2c74833186854fb58db6563ae87edd06ce5d","abstract_canon_sha256":"7065c90908ef0e9e785333fc05f1fcba93b98bfd92b107b6443e1bbf49f0039b"},"schema_version":"1.0"},"canonical_sha256":"65732abc01498269e4ffa8f6f711c5f452627d431380b43e2811152036bab2df","source":{"kind":"arxiv","id":"1712.02952","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02952","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02952v4","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02952","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"MVZSVPABJGBG","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_16","alias_value":"MVZSVPABJGBGTZH7","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_8","alias_value":"MVZSVPAB","created_at":"2026-07-05T00:24:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MVZSVPABJGBGTZH7VD3POEOF6R","target":"record","payload":{"canonical_record":{"source":{"id":"1712.02952","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-08T06:15:18Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.OA"],"title_canon_sha256":"845d589e4b9e3c5b9a5d7979191d2c74833186854fb58db6563ae87edd06ce5d","abstract_canon_sha256":"7065c90908ef0e9e785333fc05f1fcba93b98bfd92b107b6443e1bbf49f0039b"},"schema_version":"1.0"},"canonical_sha256":"65732abc01498269e4ffa8f6f711c5f452627d431380b43e2811152036bab2df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:24:02.837305Z","signature_b64":"PQxcSgdlpGP5yTf2mqaIPQ4DDoqWpnt0fVrE/KezxN5VTOi80aE+GKlFQkyMUpSRSNF+OKt2SY2Wbr45e28dDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65732abc01498269e4ffa8f6f711c5f452627d431380b43e2811152036bab2df","last_reissued_at":"2026-07-05T00:24:02.836897Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:24:02.836897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.02952","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:24:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ixrTt8NAuyIlc9HwOc1s59NVHu5cqNMkGmXZgSyn/ae+04KmKakMS0VUs941xEPikyMzDiQHDrciDbuXlv9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T13:05:44.999028Z"},"content_sha256":"242878ed11b28e7e424bafdde18ef39787a22df1f9072671779c22b01e840a9c","schema_version":"1.0","event_id":"sha256:242878ed11b28e7e424bafdde18ef39787a22df1f9072671779c22b01e840a9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MVZSVPABJGBGTZH7VD3POEOF6R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.OA"],"primary_cat":"cond-mat.str-el","authors_text":"Guo Chuan Thiang, Varghese Mathai","submitted_at":"2017-12-08T06:15:18Z","abstract_excerpt":"We study topological phases in the hyperbolic plane using noncommutative geometry and T-duality, and show that fractional versions of the quantised indices for integer, spin and anomalous quantum Hall effects can result. Generalising models used in the Euclidean setting, a model for the bulk-boundary correspondence of fractional indices is proposed, guided by the geometry of hyperbolic boundaries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02952","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1712.02952/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:24:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PNQmCNbT2MnN25Ntjr+o5DHNv7sGO0V4ICXnxIc6bPWMJiBZrQNY74wg0AME1K1hENK7hl3MroZXoG3El0GKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T13:05:45.007762Z"},"content_sha256":"bf72f67ecd1681f1fe903feadd5b102d4558d804c1e787a7339b0d7762904dd3","schema_version":"1.0","event_id":"sha256:bf72f67ecd1681f1fe903feadd5b102d4558d804c1e787a7339b0d7762904dd3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVZSVPABJGBGTZH7VD3POEOF6R/bundle.json","state_url":"https://pith.science/pith/MVZSVPABJGBGTZH7VD3POEOF6R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVZSVPABJGBGTZH7VD3POEOF6R/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":"2026-08-20T13:05:45Z","links":{"resolver":"https://pith.science/pith/MVZSVPABJGBGTZH7VD3POEOF6R","bundle":"https://pith.science/pith/MVZSVPABJGBGTZH7VD3POEOF6R/bundle.json","state":"https://pith.science/pith/MVZSVPABJGBGTZH7VD3POEOF6R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVZSVPABJGBGTZH7VD3POEOF6R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MVZSVPABJGBGTZH7VD3POEOF6R","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":"7065c90908ef0e9e785333fc05f1fcba93b98bfd92b107b6443e1bbf49f0039b","cross_cats_sorted":["hep-th","math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-08T06:15:18Z","title_canon_sha256":"845d589e4b9e3c5b9a5d7979191d2c74833186854fb58db6563ae87edd06ce5d"},"schema_version":"1.0","source":{"id":"1712.02952","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02952","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02952v4","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02952","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"MVZSVPABJGBG","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_16","alias_value":"MVZSVPABJGBGTZH7","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_8","alias_value":"MVZSVPAB","created_at":"2026-07-05T00:24:02Z"}],"graph_snapshots":[{"event_id":"sha256:bf72f67ecd1681f1fe903feadd5b102d4558d804c1e787a7339b0d7762904dd3","target":"graph","created_at":"2026-07-05T00:24:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1712.02952/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study topological phases in the hyperbolic plane using noncommutative geometry and T-duality, and show that fractional versions of the quantised indices for integer, spin and anomalous quantum Hall effects can result. Generalising models used in the Euclidean setting, a model for the bulk-boundary correspondence of fractional indices is proposed, guided by the geometry of hyperbolic boundaries.","authors_text":"Guo Chuan Thiang, Varghese Mathai","cross_cats":["hep-th","math-ph","math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-08T06:15:18Z","title":"Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02952","kind":"arxiv","version":4},"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":"sha256:242878ed11b28e7e424bafdde18ef39787a22df1f9072671779c22b01e840a9c","target":"record","created_at":"2026-07-05T00:24:02Z","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":"7065c90908ef0e9e785333fc05f1fcba93b98bfd92b107b6443e1bbf49f0039b","cross_cats_sorted":["hep-th","math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-08T06:15:18Z","title_canon_sha256":"845d589e4b9e3c5b9a5d7979191d2c74833186854fb58db6563ae87edd06ce5d"},"schema_version":"1.0","source":{"id":"1712.02952","kind":"arxiv","version":4}},"canonical_sha256":"65732abc01498269e4ffa8f6f711c5f452627d431380b43e2811152036bab2df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65732abc01498269e4ffa8f6f711c5f452627d431380b43e2811152036bab2df","first_computed_at":"2026-07-05T00:24:02.836897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:24:02.836897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PQxcSgdlpGP5yTf2mqaIPQ4DDoqWpnt0fVrE/KezxN5VTOi80aE+GKlFQkyMUpSRSNF+OKt2SY2Wbr45e28dDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:24:02.837305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02952","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:242878ed11b28e7e424bafdde18ef39787a22df1f9072671779c22b01e840a9c","sha256:bf72f67ecd1681f1fe903feadd5b102d4558d804c1e787a7339b0d7762904dd3"],"state_sha256":"cf4fa6210f748fd2859f70d7ac3e2fddf7afde55d73cb9ed3c7f03a298a651de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9GjVLZBjS8svtn1+18ZHxy/o2H2FQaK2rkBCta+nw0hZOo7GkNOFQLptsAJ5eOZQteZ710n4XgpMWVj0V7XJAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T13:05:45.019935Z","bundle_sha256":"4e26848f1d2a2e33429b3f0d57866b34930683a8eac2c18997ba18e58f6df381"}}