{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BUQM64RMRLAUCR2SNV53DLT3QU","short_pith_number":"pith:BUQM64RM","canonical_record":{"source":{"id":"1801.05959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-18T07:42:34Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","math-ph","math.MP"],"title_canon_sha256":"2d36dfb17c70a3573c645dd97ad2d6613f829227ca17e74435cee2a58a133815","abstract_canon_sha256":"14ab1b2b48e7f7c8c6328776ebafecf64414ca12b7781e2b95fc71c35bc98ae7"},"schema_version":"1.0"},"canonical_sha256":"0d20cf722c8ac14147526d7bb1ae7b853605af525c71d2b868a7d5e8017f56b6","source":{"kind":"arxiv","id":"1801.05959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05959","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05959v1","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05959","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"pith_short_12","alias_value":"BUQM64RMRLAU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BUQM64RMRLAUCR2S","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BUQM64RM","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BUQM64RMRLAUCR2SNV53DLT3QU","target":"record","payload":{"canonical_record":{"source":{"id":"1801.05959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-18T07:42:34Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","math-ph","math.MP"],"title_canon_sha256":"2d36dfb17c70a3573c645dd97ad2d6613f829227ca17e74435cee2a58a133815","abstract_canon_sha256":"14ab1b2b48e7f7c8c6328776ebafecf64414ca12b7781e2b95fc71c35bc98ae7"},"schema_version":"1.0"},"canonical_sha256":"0d20cf722c8ac14147526d7bb1ae7b853605af525c71d2b868a7d5e8017f56b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:01.750030Z","signature_b64":"gGlgO06q02t5mzuTmC40AyYxjJjJfxE4UjaD7Opm9UCQCKdKXBuTFIxXwIgRZ0GfGXZdOPqrpf4Qv0aNGuuEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d20cf722c8ac14147526d7bb1ae7b853605af525c71d2b868a7d5e8017f56b6","last_reissued_at":"2026-05-18T00:02:01.749585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:01.749585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.05959","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":"2026-05-18T00:02:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"49eovV6LtOuEbLiGBPz/OgVf/p6O/dRKj02D9M0tpc1auLYH6cXRnhTGD+bmQGzXU9hDDdOgnIOFXBuSfP7VCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:53:56.809670Z"},"content_sha256":"9c5a64bbea9cbe0bc86d563615d01b8c737d46409f4ea832922a154078ad7800","schema_version":"1.0","event_id":"sha256:9c5a64bbea9cbe0bc86d563615d01b8c737d46409f4ea832922a154078ad7800"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BUQM64RMRLAUCR2SNV53DLT3QU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mapping topological to conformal field theories through strange correlators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Dominic J. Williamson, Frank Verstraete, Jutho Haegeman, Matthias Bal, Nick Bultinck, Robijn Vanhove","submitted_at":"2018-01-18T07:42:34Z","abstract_excerpt":"We extend the concept of strange correlators, defined for symmetry-protected phases in [You et al., Phys. Rev. Lett. 112, 247202 (2014)], to topological phases of matter by taking the inner product between string-net ground states and product states. The resulting two-dimensional partition functions are shown to be either critical or symmetry broken, as the corresponding transfer matrices inherit all matrix product operator symmetries of the string-net states. For the case of critical systems, those non-local matrix product operator symmetries are the lattice remnants of topological conformal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05959","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":"2026-05-18T00:02:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HcfWZ+L8ElUNVfQGHmXbZuEOrd1C6bqTgwwZ57bzBaFymxCw4OihYq+17jZhz2m/D42HY/GlQL1zO6Xs0pIRAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:53:56.810029Z"},"content_sha256":"32f85adc7fa471e399342b4f5fc5bcaed78dfbecb7c3604ab3540f4c389337f6","schema_version":"1.0","event_id":"sha256:32f85adc7fa471e399342b4f5fc5bcaed78dfbecb7c3604ab3540f4c389337f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BUQM64RMRLAUCR2SNV53DLT3QU/bundle.json","state_url":"https://pith.science/pith/BUQM64RMRLAUCR2SNV53DLT3QU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BUQM64RMRLAUCR2SNV53DLT3QU/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":"2026-05-30T07:53:56Z","links":{"resolver":"https://pith.science/pith/BUQM64RMRLAUCR2SNV53DLT3QU","bundle":"https://pith.science/pith/BUQM64RMRLAUCR2SNV53DLT3QU/bundle.json","state":"https://pith.science/pith/BUQM64RMRLAUCR2SNV53DLT3QU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BUQM64RMRLAUCR2SNV53DLT3QU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BUQM64RMRLAUCR2SNV53DLT3QU","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":"14ab1b2b48e7f7c8c6328776ebafecf64414ca12b7781e2b95fc71c35bc98ae7","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-18T07:42:34Z","title_canon_sha256":"2d36dfb17c70a3573c645dd97ad2d6613f829227ca17e74435cee2a58a133815"},"schema_version":"1.0","source":{"id":"1801.05959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05959","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05959v1","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05959","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"pith_short_12","alias_value":"BUQM64RMRLAU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BUQM64RMRLAUCR2S","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BUQM64RM","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:32f85adc7fa471e399342b4f5fc5bcaed78dfbecb7c3604ab3540f4c389337f6","target":"graph","created_at":"2026-05-18T00:02:01Z","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 extend the concept of strange correlators, defined for symmetry-protected phases in [You et al., Phys. Rev. Lett. 112, 247202 (2014)], to topological phases of matter by taking the inner product between string-net ground states and product states. The resulting two-dimensional partition functions are shown to be either critical or symmetry broken, as the corresponding transfer matrices inherit all matrix product operator symmetries of the string-net states. For the case of critical systems, those non-local matrix product operator symmetries are the lattice remnants of topological conformal ","authors_text":"Dominic J. Williamson, Frank Verstraete, Jutho Haegeman, Matthias Bal, Nick Bultinck, Robijn Vanhove","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-18T07:42:34Z","title":"Mapping topological to conformal field theories through strange correlators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05959","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":"sha256:9c5a64bbea9cbe0bc86d563615d01b8c737d46409f4ea832922a154078ad7800","target":"record","created_at":"2026-05-18T00:02:01Z","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":"14ab1b2b48e7f7c8c6328776ebafecf64414ca12b7781e2b95fc71c35bc98ae7","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-18T07:42:34Z","title_canon_sha256":"2d36dfb17c70a3573c645dd97ad2d6613f829227ca17e74435cee2a58a133815"},"schema_version":"1.0","source":{"id":"1801.05959","kind":"arxiv","version":1}},"canonical_sha256":"0d20cf722c8ac14147526d7bb1ae7b853605af525c71d2b868a7d5e8017f56b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d20cf722c8ac14147526d7bb1ae7b853605af525c71d2b868a7d5e8017f56b6","first_computed_at":"2026-05-18T00:02:01.749585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:01.749585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gGlgO06q02t5mzuTmC40AyYxjJjJfxE4UjaD7Opm9UCQCKdKXBuTFIxXwIgRZ0GfGXZdOPqrpf4Qv0aNGuuEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:01.750030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c5a64bbea9cbe0bc86d563615d01b8c737d46409f4ea832922a154078ad7800","sha256:32f85adc7fa471e399342b4f5fc5bcaed78dfbecb7c3604ab3540f4c389337f6"],"state_sha256":"8e27a260cae6ecb6356395a83fcd20bc77216f0b42bf25b3f41e494e181a411d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8GK6ll606Oq8T+0QvBZbxMqPOVTYsHB1xT41VdTgG/enqC51UKD8PoQbixvuR856NFV8fW7+0B+eS/HnTn3jAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:53:56.812090Z","bundle_sha256":"105d48ef109f485d23bbe56691f5ff592999339bc1d58dd53ea7fe8cbdae4f48"}}