{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VBABRNJ3T7SLUUVPI3O77XGEUQ","short_pith_number":"pith:VBABRNJ3","canonical_record":{"source":{"id":"1603.02275","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-07T21:00:04Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ac1f450ee064c6b9162559d6373251eb5157c78043261370346519578bc0b5ab","abstract_canon_sha256":"6bcb6d8026f24e877c3174717ad51c512053f55158408446c5f4c4e68da57f5a"},"schema_version":"1.0"},"canonical_sha256":"a84018b53b9fe4ba52af46ddffdcc4a43aa8307cfbbde27b30c4f6b8ca4c2cb1","source":{"kind":"arxiv","id":"1603.02275","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02275","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02275v3","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02275","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"VBABRNJ3T7SL","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VBABRNJ3T7SLUUVP","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VBABRNJ3","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VBABRNJ3T7SLUUVPI3O77XGEUQ","target":"record","payload":{"canonical_record":{"source":{"id":"1603.02275","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-07T21:00:04Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ac1f450ee064c6b9162559d6373251eb5157c78043261370346519578bc0b5ab","abstract_canon_sha256":"6bcb6d8026f24e877c3174717ad51c512053f55158408446c5f4c4e68da57f5a"},"schema_version":"1.0"},"canonical_sha256":"a84018b53b9fe4ba52af46ddffdcc4a43aa8307cfbbde27b30c4f6b8ca4c2cb1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:55.334665Z","signature_b64":"X/7EzhJF6lBJT4Uzv01r6ARzCpMhaszGP7E4zHNf9z+lcJbbPjr/ondoMs7+1FBIz+iE9vNqpTvlod49IqlsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a84018b53b9fe4ba52af46ddffdcc4a43aa8307cfbbde27b30c4f6b8ca4c2cb1","last_reissued_at":"2026-05-18T00:58:55.334207Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:55.334207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.02275","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bU11yzC8wgvbg7+iNp4XPtnViY5aOC/2GPsDLBSuCTvnobQxvxlyK3GU6O3G2J0CZdx1SLdNMnixQf+M3lalCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:02:56.179826Z"},"content_sha256":"799ea3d7a0050389b262e69bea62c344de49aa26a7b1e9eac29011622697c17c","schema_version":"1.0","event_id":"sha256:799ea3d7a0050389b262e69bea62c344de49aa26a7b1e9eac29011622697c17c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VBABRNJ3T7SLUUVPI3O77XGEUQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detecting Topological Order with Ribbon Operators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"David Poulin, Jacob C. Bridgeman, Steven T. Flammia","submitted_at":"2016-03-07T21:00:04Z","abstract_excerpt":"We introduce a numerical method for identifying topological order in two-dimensional models based on one-dimensional bulk operators. The idea is to identify approximate symmetries supported on thin strips through the bulk that behave as string operators associated to an anyon model. We can express these ribbon operators in matrix product form and define a cost function that allows us to efficiently optimize over this ansatz class. We test this method on spin models with abelian topological order by finding ribbon operators for $\\mathbb{Z}_d$ quantum double models with local fields and Ising-li"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02275","kind":"arxiv","version":3},"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":"2026-05-18T00:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SvoN4lOVjFXgqVjCrbCmihM2y8iUGx8L7+L7FqgkeZnE6/+U77hhsl9iVnwjpYI4Np5e16cdhI0RxGoRoX+YCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:02:56.180396Z"},"content_sha256":"e6cc5f5b87c18415aa20cffea7954ae3d1917687e8f276b5a8768902dadb3c42","schema_version":"1.0","event_id":"sha256:e6cc5f5b87c18415aa20cffea7954ae3d1917687e8f276b5a8768902dadb3c42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBABRNJ3T7SLUUVPI3O77XGEUQ/bundle.json","state_url":"https://pith.science/pith/VBABRNJ3T7SLUUVPI3O77XGEUQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBABRNJ3T7SLUUVPI3O77XGEUQ/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":"2026-08-15T13:02:56Z","links":{"resolver":"https://pith.science/pith/VBABRNJ3T7SLUUVPI3O77XGEUQ","bundle":"https://pith.science/pith/VBABRNJ3T7SLUUVPI3O77XGEUQ/bundle.json","state":"https://pith.science/pith/VBABRNJ3T7SLUUVPI3O77XGEUQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBABRNJ3T7SLUUVPI3O77XGEUQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VBABRNJ3T7SLUUVPI3O77XGEUQ","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":"6bcb6d8026f24e877c3174717ad51c512053f55158408446c5f4c4e68da57f5a","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-07T21:00:04Z","title_canon_sha256":"ac1f450ee064c6b9162559d6373251eb5157c78043261370346519578bc0b5ab"},"schema_version":"1.0","source":{"id":"1603.02275","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02275","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02275v3","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02275","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"VBABRNJ3T7SL","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VBABRNJ3T7SLUUVP","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VBABRNJ3","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:e6cc5f5b87c18415aa20cffea7954ae3d1917687e8f276b5a8768902dadb3c42","target":"graph","created_at":"2026-05-18T00:58:55Z","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 introduce a numerical method for identifying topological order in two-dimensional models based on one-dimensional bulk operators. The idea is to identify approximate symmetries supported on thin strips through the bulk that behave as string operators associated to an anyon model. We can express these ribbon operators in matrix product form and define a cost function that allows us to efficiently optimize over this ansatz class. We test this method on spin models with abelian topological order by finding ribbon operators for $\\mathbb{Z}_d$ quantum double models with local fields and Ising-li","authors_text":"David Poulin, Jacob C. Bridgeman, Steven T. Flammia","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-07T21:00:04Z","title":"Detecting Topological Order with Ribbon Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02275","kind":"arxiv","version":3},"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":"sha256:799ea3d7a0050389b262e69bea62c344de49aa26a7b1e9eac29011622697c17c","target":"record","created_at":"2026-05-18T00:58:55Z","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":"6bcb6d8026f24e877c3174717ad51c512053f55158408446c5f4c4e68da57f5a","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-07T21:00:04Z","title_canon_sha256":"ac1f450ee064c6b9162559d6373251eb5157c78043261370346519578bc0b5ab"},"schema_version":"1.0","source":{"id":"1603.02275","kind":"arxiv","version":3}},"canonical_sha256":"a84018b53b9fe4ba52af46ddffdcc4a43aa8307cfbbde27b30c4f6b8ca4c2cb1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a84018b53b9fe4ba52af46ddffdcc4a43aa8307cfbbde27b30c4f6b8ca4c2cb1","first_computed_at":"2026-05-18T00:58:55.334207Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:55.334207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X/7EzhJF6lBJT4Uzv01r6ARzCpMhaszGP7E4zHNf9z+lcJbbPjr/ondoMs7+1FBIz+iE9vNqpTvlod49IqlsDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:55.334665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02275","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:799ea3d7a0050389b262e69bea62c344de49aa26a7b1e9eac29011622697c17c","sha256:e6cc5f5b87c18415aa20cffea7954ae3d1917687e8f276b5a8768902dadb3c42"],"state_sha256":"adf874b9f818d193e549fb712c8ec0a04334b050bf898b735308ac796488ce4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fj4uEsY/WRGwQ9CgeShbWaGzeGgjBllZ1MFJPGglGlPoPlWxor3zpcOzUSEKK/NRuNRJb3mU7UBVFZ1cXwLtCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:02:56.183744Z","bundle_sha256":"87fa7635b4a09d67dad198f7771a96d19eb7a9cef10a5bfdefac32660a1dbecc"}}