{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L5XCWTKLGX2XEWJ6TISIXULEYL","short_pith_number":"pith:L5XCWTKL","canonical_record":{"source":{"id":"1703.00911","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-03-02T19:00:02Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"26e39b5556167c91ab108c2bec25d93e24358e324b450efc49072e0bf4198189","abstract_canon_sha256":"5c7c3993b087a1cd79dbf29c7030c33603b6dd1b0ca5c6296d3623c2bdf54a77"},"schema_version":"1.0"},"canonical_sha256":"5f6e2b4d4b35f572593e9a248bd164c2d45e9b1a4706b8a27b470351d731cd68","source":{"kind":"arxiv","id":"1703.00911","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00911","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00911v2","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00911","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"pith_short_12","alias_value":"L5XCWTKLGX2X","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L5XCWTKLGX2XEWJ6","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L5XCWTKL","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L5XCWTKLGX2XEWJ6TISIXULEYL","target":"record","payload":{"canonical_record":{"source":{"id":"1703.00911","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-03-02T19:00:02Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"26e39b5556167c91ab108c2bec25d93e24358e324b450efc49072e0bf4198189","abstract_canon_sha256":"5c7c3993b087a1cd79dbf29c7030c33603b6dd1b0ca5c6296d3623c2bdf54a77"},"schema_version":"1.0"},"canonical_sha256":"5f6e2b4d4b35f572593e9a248bd164c2d45e9b1a4706b8a27b470351d731cd68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:24.350820Z","signature_b64":"37nlsNgurrbfN4//VTa2ZplVFR00erKnUVze/XWnywCHYy5trwhd0Af/tCEPh6g+G1/1/Oh80qAaBjG6C01SBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f6e2b4d4b35f572593e9a248bd164c2d45e9b1a4706b8a27b470351d731cd68","last_reissued_at":"2026-05-18T00:36:24.350104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:24.350104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.00911","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"42T9Aim5iknPLC67ey6w07u5IvvdxeJoJ05OT8kPrczTyElzLbldbfRFwBRO7elkyRSiGfqksmmrEi4ZyFGuCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:37:11.425003Z"},"content_sha256":"8ef846b4fa2224dcfbdaf35bbb0d20d3dd692aa47ccd8bbc75303d8955d05095","schema_version":"1.0","event_id":"sha256:8ef846b4fa2224dcfbdaf35bbb0d20d3dd692aa47ccd8bbc75303d8955d05095"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L5XCWTKLGX2XEWJ6TISIXULEYL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry-based Indicators of Band Topology in the 230 Space Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.str-el","authors_text":"Ashvin Vishwanath, Haruki Watanabe, Hoi Chun Po","submitted_at":"2017-03-02T19:00:02Z","abstract_excerpt":"The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals. Previous results, like the Fu-Kane parity criterion for inversion-symmetric topological insulators, demonstrate that symmetry labels can sometimes unambiguously indicate underlying band topology. Here we develop a systematic approach to expose all such symmetry-based indicators of band topology in all the 230 space groups. This is achieved by first developing an efficient way to represent band structures in terms of ele"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00911","kind":"arxiv","version":2},"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":"2026-05-18T00:36:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/cWhflFZcEcdLCtgt+QOnlTcC6lF1dTnVA351uaNO5dxfp2S9Sj2CRBff8rlZwh2s2T2M57XKTNsHq7EGkEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:37:11.425381Z"},"content_sha256":"016b573f39a04dfb721b5a2e6aad2cd85949a9c5fb1d7ec6614da2defcc80757","schema_version":"1.0","event_id":"sha256:016b573f39a04dfb721b5a2e6aad2cd85949a9c5fb1d7ec6614da2defcc80757"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L5XCWTKLGX2XEWJ6TISIXULEYL/bundle.json","state_url":"https://pith.science/pith/L5XCWTKLGX2XEWJ6TISIXULEYL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L5XCWTKLGX2XEWJ6TISIXULEYL/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":"2026-06-01T03:37:11Z","links":{"resolver":"https://pith.science/pith/L5XCWTKLGX2XEWJ6TISIXULEYL","bundle":"https://pith.science/pith/L5XCWTKLGX2XEWJ6TISIXULEYL/bundle.json","state":"https://pith.science/pith/L5XCWTKLGX2XEWJ6TISIXULEYL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L5XCWTKLGX2XEWJ6TISIXULEYL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L5XCWTKLGX2XEWJ6TISIXULEYL","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":"5c7c3993b087a1cd79dbf29c7030c33603b6dd1b0ca5c6296d3623c2bdf54a77","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-03-02T19:00:02Z","title_canon_sha256":"26e39b5556167c91ab108c2bec25d93e24358e324b450efc49072e0bf4198189"},"schema_version":"1.0","source":{"id":"1703.00911","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00911","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00911v2","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00911","created_at":"2026-05-18T00:36:24Z"},{"alias_kind":"pith_short_12","alias_value":"L5XCWTKLGX2X","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L5XCWTKLGX2XEWJ6","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L5XCWTKL","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:016b573f39a04dfb721b5a2e6aad2cd85949a9c5fb1d7ec6614da2defcc80757","target":"graph","created_at":"2026-05-18T00:36:24Z","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":"The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals. Previous results, like the Fu-Kane parity criterion for inversion-symmetric topological insulators, demonstrate that symmetry labels can sometimes unambiguously indicate underlying band topology. Here we develop a systematic approach to expose all such symmetry-based indicators of band topology in all the 230 space groups. This is achieved by first developing an efficient way to represent band structures in terms of ele","authors_text":"Ashvin Vishwanath, Haruki Watanabe, Hoi Chun Po","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-03-02T19:00:02Z","title":"Symmetry-based Indicators of Band Topology in the 230 Space Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00911","kind":"arxiv","version":2},"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":"sha256:8ef846b4fa2224dcfbdaf35bbb0d20d3dd692aa47ccd8bbc75303d8955d05095","target":"record","created_at":"2026-05-18T00:36:24Z","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":"5c7c3993b087a1cd79dbf29c7030c33603b6dd1b0ca5c6296d3623c2bdf54a77","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-03-02T19:00:02Z","title_canon_sha256":"26e39b5556167c91ab108c2bec25d93e24358e324b450efc49072e0bf4198189"},"schema_version":"1.0","source":{"id":"1703.00911","kind":"arxiv","version":2}},"canonical_sha256":"5f6e2b4d4b35f572593e9a248bd164c2d45e9b1a4706b8a27b470351d731cd68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f6e2b4d4b35f572593e9a248bd164c2d45e9b1a4706b8a27b470351d731cd68","first_computed_at":"2026-05-18T00:36:24.350104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:24.350104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"37nlsNgurrbfN4//VTa2ZplVFR00erKnUVze/XWnywCHYy5trwhd0Af/tCEPh6g+G1/1/Oh80qAaBjG6C01SBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:24.350820Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.00911","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ef846b4fa2224dcfbdaf35bbb0d20d3dd692aa47ccd8bbc75303d8955d05095","sha256:016b573f39a04dfb721b5a2e6aad2cd85949a9c5fb1d7ec6614da2defcc80757"],"state_sha256":"860f227370f28a8479fa41ca6dcc3520cec18bf4643f5ffe283395f6ecb2b1ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QM+xIhKnv7g/vl+viTJPiRfi5c8UP/Iwvkzn4jEXq7Ua1rMnWtbFyex/8tSK7lWuC3ijioTIsNypLxM2UyLsDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:37:11.427975Z","bundle_sha256":"c61d09eb985f9b3285e553d224b1837dfd6a346b41f8ae82ad60efb6b228bb10"}}