{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:XIITZNATHYIFBYCDW7FSPRTYWL","short_pith_number":"pith:XIITZNAT","canonical_record":{"source":{"id":"2112.03942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-07T19:02:59Z","cross_cats_sorted":["cond-mat.mes-hall","cs.NA","math-ph","math.MP","math.SP"],"title_canon_sha256":"57d59b5be4fd2f80a5bb2d60fb18de004ceeb93eb2664d7e8571103f7f62ec2b","abstract_canon_sha256":"37733cf56474fd6751d1c9c6763d127c273751bdd575f200443fd1bdf472c643"},"schema_version":"1.0"},"canonical_sha256":"ba113cb4133e1050e043b7cb27c678b2d1381cf5232f0f3bd19147fd63940103","source":{"kind":"arxiv","id":"2112.03942","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.03942","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"arxiv_version","alias_value":"2112.03942v1","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.03942","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"pith_short_12","alias_value":"XIITZNATHYIF","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"pith_short_16","alias_value":"XIITZNATHYIFBYCD","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"pith_short_8","alias_value":"XIITZNAT","created_at":"2026-07-05T03:38:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:XIITZNATHYIFBYCDW7FSPRTYWL","target":"record","payload":{"canonical_record":{"source":{"id":"2112.03942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-07T19:02:59Z","cross_cats_sorted":["cond-mat.mes-hall","cs.NA","math-ph","math.MP","math.SP"],"title_canon_sha256":"57d59b5be4fd2f80a5bb2d60fb18de004ceeb93eb2664d7e8571103f7f62ec2b","abstract_canon_sha256":"37733cf56474fd6751d1c9c6763d127c273751bdd575f200443fd1bdf472c643"},"schema_version":"1.0"},"canonical_sha256":"ba113cb4133e1050e043b7cb27c678b2d1381cf5232f0f3bd19147fd63940103","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:38:52.100742Z","signature_b64":"2Dznv8SNZRdnbNjL9lecv5oTAsxYPq0eTGWGWzOBAWs0X7jiaQQ8MaDdOHBDCWtyUm3vVnBn4hH2TJmtPRkXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba113cb4133e1050e043b7cb27c678b2d1381cf5232f0f3bd19147fd63940103","last_reissued_at":"2026-07-05T03:38:52.100303Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:38:52.100303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.03942","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":"2026-07-05T03:38:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CnfganKkNIN7TRmIQhOY/sVMr0sLJ1udoRhZZAlyjr+rmpBsOVboSzsI+2Y8Yl/0bEBZ328ekGQQSuV+arbRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T16:14:45.309520Z"},"content_sha256":"0373072c204be46d5b018f3f8b159b8de35b80d8aff90c5d93714dca2534f3b2","schema_version":"1.0","event_id":"sha256:0373072c204be46d5b018f3f8b159b8de35b80d8aff90c5d93714dca2534f3b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:XIITZNATHYIFBYCDW7FSPRTYWL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computing spectral properties of topological insulators without artificial truncation or supercell approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cs.NA","math-ph","math.MP","math.SP"],"primary_cat":"math.NA","authors_text":"Alexander B. Watson, Andrew Horning, Kyle Thicke, Matthew J. Colbrook","submitted_at":"2021-12-07T19:02:59Z","abstract_excerpt":"Topological insulators (TIs) are renowned for their remarkable electronic properties: quantised bulk Hall and edge conductivities, and robust edge wave-packet propagation, even in the presence of material defects and disorder. Computations of these physical properties generally rely on artificial periodicity (the supercell approximation), or unphysical boundary conditions (artificial truncation). In this work, we build on recently developed methods for computing spectral properties of infinite-dimensional operators. We apply these techniques to develop efficient and accurate computational tool"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.03942","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.03942/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":"2026-07-05T03:38:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kue8X1atOG2zeD8zj4PDWgKBlNs4nMQSyM//JE7PAfb1bW35FC6pys99+ye7BGQ/aQzE/+upMwRymnB7MQzAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T16:14:45.309892Z"},"content_sha256":"d1c600d99b76268dec528e43c4328f021644c0ea6915a3eacd5fcb57c9273b8d","schema_version":"1.0","event_id":"sha256:d1c600d99b76268dec528e43c4328f021644c0ea6915a3eacd5fcb57c9273b8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIITZNATHYIFBYCDW7FSPRTYWL/bundle.json","state_url":"https://pith.science/pith/XIITZNATHYIFBYCDW7FSPRTYWL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIITZNATHYIFBYCDW7FSPRTYWL/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":"2026-07-06T16:14:45Z","links":{"resolver":"https://pith.science/pith/XIITZNATHYIFBYCDW7FSPRTYWL","bundle":"https://pith.science/pith/XIITZNATHYIFBYCDW7FSPRTYWL/bundle.json","state":"https://pith.science/pith/XIITZNATHYIFBYCDW7FSPRTYWL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIITZNATHYIFBYCDW7FSPRTYWL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XIITZNATHYIFBYCDW7FSPRTYWL","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":"37733cf56474fd6751d1c9c6763d127c273751bdd575f200443fd1bdf472c643","cross_cats_sorted":["cond-mat.mes-hall","cs.NA","math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-07T19:02:59Z","title_canon_sha256":"57d59b5be4fd2f80a5bb2d60fb18de004ceeb93eb2664d7e8571103f7f62ec2b"},"schema_version":"1.0","source":{"id":"2112.03942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.03942","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"arxiv_version","alias_value":"2112.03942v1","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.03942","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"pith_short_12","alias_value":"XIITZNATHYIF","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"pith_short_16","alias_value":"XIITZNATHYIFBYCD","created_at":"2026-07-05T03:38:52Z"},{"alias_kind":"pith_short_8","alias_value":"XIITZNAT","created_at":"2026-07-05T03:38:52Z"}],"graph_snapshots":[{"event_id":"sha256:d1c600d99b76268dec528e43c4328f021644c0ea6915a3eacd5fcb57c9273b8d","target":"graph","created_at":"2026-07-05T03:38:52Z","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/2112.03942/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological insulators (TIs) are renowned for their remarkable electronic properties: quantised bulk Hall and edge conductivities, and robust edge wave-packet propagation, even in the presence of material defects and disorder. Computations of these physical properties generally rely on artificial periodicity (the supercell approximation), or unphysical boundary conditions (artificial truncation). In this work, we build on recently developed methods for computing spectral properties of infinite-dimensional operators. We apply these techniques to develop efficient and accurate computational tool","authors_text":"Alexander B. Watson, Andrew Horning, Kyle Thicke, Matthew J. Colbrook","cross_cats":["cond-mat.mes-hall","cs.NA","math-ph","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-07T19:02:59Z","title":"Computing spectral properties of topological insulators without artificial truncation or supercell approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.03942","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":"sha256:0373072c204be46d5b018f3f8b159b8de35b80d8aff90c5d93714dca2534f3b2","target":"record","created_at":"2026-07-05T03:38:52Z","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":"37733cf56474fd6751d1c9c6763d127c273751bdd575f200443fd1bdf472c643","cross_cats_sorted":["cond-mat.mes-hall","cs.NA","math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-07T19:02:59Z","title_canon_sha256":"57d59b5be4fd2f80a5bb2d60fb18de004ceeb93eb2664d7e8571103f7f62ec2b"},"schema_version":"1.0","source":{"id":"2112.03942","kind":"arxiv","version":1}},"canonical_sha256":"ba113cb4133e1050e043b7cb27c678b2d1381cf5232f0f3bd19147fd63940103","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba113cb4133e1050e043b7cb27c678b2d1381cf5232f0f3bd19147fd63940103","first_computed_at":"2026-07-05T03:38:52.100303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:38:52.100303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Dznv8SNZRdnbNjL9lecv5oTAsxYPq0eTGWGWzOBAWs0X7jiaQQ8MaDdOHBDCWtyUm3vVnBn4hH2TJmtPRkXAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:38:52.100742Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.03942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0373072c204be46d5b018f3f8b159b8de35b80d8aff90c5d93714dca2534f3b2","sha256:d1c600d99b76268dec528e43c4328f021644c0ea6915a3eacd5fcb57c9273b8d"],"state_sha256":"312d98affafc7936751a6538ada114a91c4675d500bdcf82d5e3196b8aeb03e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8O6b11RCYqCb+tjq6RByIbgaxqpnh4IpJMi0s6+0D14z1bnoNZVxb7IphI+Wtq97lgnDgdoaoRMmAkWPf5wiBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T16:14:45.311942Z","bundle_sha256":"5969ede72f77684cfd28f1323d31324f8f1e856c71aa077183d935d9748fceaa"}}