{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:TTSX5ZQMRF2B6DITQZPK4JGWKC","short_pith_number":"pith:TTSX5ZQM","canonical_record":{"source":{"id":"2003.05453","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-03-11T18:00:03Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"title_canon_sha256":"7fbf3259013d10ec551fc24d87bdaf4c1457d079cd163554db388395326e6556","abstract_canon_sha256":"7e0c0e441d6267985a26d4b512092931f72a391da7f2359d3c9155fd9a2b268c"},"schema_version":"1.0"},"canonical_sha256":"9ce57ee60c89741f0d13865eae24d650ac0f3d2a2a89a0091551c6c32944882d","source":{"kind":"arxiv","id":"2003.05453","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.05453","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"arxiv_version","alias_value":"2003.05453v1","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.05453","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"pith_short_12","alias_value":"TTSX5ZQMRF2B","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"pith_short_16","alias_value":"TTSX5ZQMRF2B6DIT","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"pith_short_8","alias_value":"TTSX5ZQM","created_at":"2026-07-05T00:47:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:TTSX5ZQMRF2B6DITQZPK4JGWKC","target":"record","payload":{"canonical_record":{"source":{"id":"2003.05453","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-03-11T18:00:03Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"title_canon_sha256":"7fbf3259013d10ec551fc24d87bdaf4c1457d079cd163554db388395326e6556","abstract_canon_sha256":"7e0c0e441d6267985a26d4b512092931f72a391da7f2359d3c9155fd9a2b268c"},"schema_version":"1.0"},"canonical_sha256":"9ce57ee60c89741f0d13865eae24d650ac0f3d2a2a89a0091551c6c32944882d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:47:30.309705Z","signature_b64":"qNe1VDnHu/Dgpo/SSJYnimZRwuIthQVIvlHlAYL0ySC9F55JjE1Ov0M9evqrJQYK5cRplxUc8hPxBzhc1uuxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ce57ee60c89741f0d13865eae24d650ac0f3d2a2a89a0091551c6c32944882d","last_reissued_at":"2026-07-05T00:47:30.309277Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:47:30.309277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.05453","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":"2026-07-05T00:47:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pWw3KkrBwYJxdEmbjGIQBEFzkw4CQ77RIS1tVisquIQOrmbZ3V9Um+ewBJ7lQreodVizWJtCT+NtVcCytDFOCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:20:16.795556Z"},"content_sha256":"288b46d13df92089d321403002e215dfa5afb0d7a9af4794e4ebecfbb4cb73db","schema_version":"1.0","event_id":"sha256:288b46d13df92089d321403002e215dfa5afb0d7a9af4794e4ebecfbb4cb73db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:TTSX5ZQMRF2B6DITQZPK4JGWKC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topology and edge states survive quantum criticality between topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Ruben Verresen","submitted_at":"2020-03-11T18:00:03Z","abstract_excerpt":"It is often thought that emergent phenomena in topological phases of matter are destroyed when tuning to a critical point. In particular, topologically protected edge states supposedly delocalize when the bulk correlation length diverges. We show that this is not true in general. Edge states of topological insulators or superconductors remain exponentially localized---despite a vanishing band gap---if the transition increases the topological index. This applies to all classes where the topological classification is larger than $Z_2$, notably including Chern insulators. Moreover, these edge sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.05453","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/2003.05453/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":"2026-07-05T00:47:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mQTMISDjGDh6iSd8UrsYaHqGESA6e/XUGgjaK1ElPEw897vPLB47vy64WL3zBVpNeLq2y+9tUfXxWX6/tqPfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:20:16.796735Z"},"content_sha256":"3108822228457ac57286ddd8134823a5fea62db35fc466f03182fc201aa14ed6","schema_version":"1.0","event_id":"sha256:3108822228457ac57286ddd8134823a5fea62db35fc466f03182fc201aa14ed6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TTSX5ZQMRF2B6DITQZPK4JGWKC/bundle.json","state_url":"https://pith.science/pith/TTSX5ZQMRF2B6DITQZPK4JGWKC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TTSX5ZQMRF2B6DITQZPK4JGWKC/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":"2026-08-11T08:20:16Z","links":{"resolver":"https://pith.science/pith/TTSX5ZQMRF2B6DITQZPK4JGWKC","bundle":"https://pith.science/pith/TTSX5ZQMRF2B6DITQZPK4JGWKC/bundle.json","state":"https://pith.science/pith/TTSX5ZQMRF2B6DITQZPK4JGWKC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TTSX5ZQMRF2B6DITQZPK4JGWKC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TTSX5ZQMRF2B6DITQZPK4JGWKC","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":"7e0c0e441d6267985a26d4b512092931f72a391da7f2359d3c9155fd9a2b268c","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-03-11T18:00:03Z","title_canon_sha256":"7fbf3259013d10ec551fc24d87bdaf4c1457d079cd163554db388395326e6556"},"schema_version":"1.0","source":{"id":"2003.05453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.05453","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"arxiv_version","alias_value":"2003.05453v1","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.05453","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"pith_short_12","alias_value":"TTSX5ZQMRF2B","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"pith_short_16","alias_value":"TTSX5ZQMRF2B6DIT","created_at":"2026-07-05T00:47:30Z"},{"alias_kind":"pith_short_8","alias_value":"TTSX5ZQM","created_at":"2026-07-05T00:47:30Z"}],"graph_snapshots":[{"event_id":"sha256:3108822228457ac57286ddd8134823a5fea62db35fc466f03182fc201aa14ed6","target":"graph","created_at":"2026-07-05T00:47:30Z","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/2003.05453/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is often thought that emergent phenomena in topological phases of matter are destroyed when tuning to a critical point. In particular, topologically protected edge states supposedly delocalize when the bulk correlation length diverges. We show that this is not true in general. Edge states of topological insulators or superconductors remain exponentially localized---despite a vanishing band gap---if the transition increases the topological index. This applies to all classes where the topological classification is larger than $Z_2$, notably including Chern insulators. Moreover, these edge sta","authors_text":"Ruben Verresen","cross_cats":["cond-mat.mes-hall","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-03-11T18:00:03Z","title":"Topology and edge states survive quantum criticality between topological insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.05453","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":"sha256:288b46d13df92089d321403002e215dfa5afb0d7a9af4794e4ebecfbb4cb73db","target":"record","created_at":"2026-07-05T00:47:30Z","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":"7e0c0e441d6267985a26d4b512092931f72a391da7f2359d3c9155fd9a2b268c","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-03-11T18:00:03Z","title_canon_sha256":"7fbf3259013d10ec551fc24d87bdaf4c1457d079cd163554db388395326e6556"},"schema_version":"1.0","source":{"id":"2003.05453","kind":"arxiv","version":1}},"canonical_sha256":"9ce57ee60c89741f0d13865eae24d650ac0f3d2a2a89a0091551c6c32944882d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ce57ee60c89741f0d13865eae24d650ac0f3d2a2a89a0091551c6c32944882d","first_computed_at":"2026-07-05T00:47:30.309277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:47:30.309277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qNe1VDnHu/Dgpo/SSJYnimZRwuIthQVIvlHlAYL0ySC9F55JjE1Ov0M9evqrJQYK5cRplxUc8hPxBzhc1uuxCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:47:30.309705Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.05453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:288b46d13df92089d321403002e215dfa5afb0d7a9af4794e4ebecfbb4cb73db","sha256:3108822228457ac57286ddd8134823a5fea62db35fc466f03182fc201aa14ed6"],"state_sha256":"e2bc8a79c519ed161603f48c4dc4f77a4504a1f0ca13c9e615d257fd12876604"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jpAiE2353/SKUB830Kfq62Vio3pwGNUG30RWD7FaOo99IqsTVmrMdHR24cmt3rRuDyBEAkTaX/W713lvSYKzAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T08:20:16.801986Z","bundle_sha256":"582cea63c14272c8efcb6a08f9c8fbf5d3e9e61e631401c2388ca16797014c55"}}