{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FZXHJH2SEJUXHBOJP3A7I5HFBL","short_pith_number":"pith:FZXHJH2S","canonical_record":{"source":{"id":"1412.5604","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-17T21:00:39Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"cf57c328dd370136a1535ce8d1d23509654739064d4a826e3018129b3d73aae9","abstract_canon_sha256":"6857536d9180c18ac461354694cf5b127400aec81fb8e20f0689f71a440f995f"},"schema_version":"1.0"},"canonical_sha256":"2e6e749f5222697385c97ec1f474e50ae32e3fd7ccf240e99054a2ddd7565990","source":{"kind":"arxiv","id":"1412.5604","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5604","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5604v3","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5604","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"FZXHJH2SEJUX","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FZXHJH2SEJUXHBOJ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FZXHJH2S","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FZXHJH2SEJUXHBOJP3A7I5HFBL","target":"record","payload":{"canonical_record":{"source":{"id":"1412.5604","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-17T21:00:39Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"cf57c328dd370136a1535ce8d1d23509654739064d4a826e3018129b3d73aae9","abstract_canon_sha256":"6857536d9180c18ac461354694cf5b127400aec81fb8e20f0689f71a440f995f"},"schema_version":"1.0"},"canonical_sha256":"2e6e749f5222697385c97ec1f474e50ae32e3fd7ccf240e99054a2ddd7565990","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:12.604269Z","signature_b64":"vzzuyycM69ezdHtJKTAA4SdAsTltMqiJqBzIw6Rz3HUdZ1paUI+CPNShuRQNMYtKNRop9AV+14rYfZlJN0SlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e6e749f5222697385c97ec1f474e50ae32e3fd7ccf240e99054a2ddd7565990","last_reissued_at":"2026-05-18T00:56:12.603741Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:12.603741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.5604","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":"2026-05-18T00:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f81Nyk+1nleoYkXJYsxPAlgT85xuo28jlAkeSz/ettikU6hKIGx3f0qJPdVl/QXL56OPlYgRrYc2NjVQjqmeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T23:31:05.366094Z"},"content_sha256":"5b1c730f8521bfab5bc13e11d23f1066d8fb6711e93ec3e3a481f01a8b430ab2","schema_version":"1.0","event_id":"sha256:5b1c730f8521bfab5bc13e11d23f1066d8fb6711e93ec3e3a481f01a8b430ab2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FZXHJH2SEJUXHBOJP3A7I5HFBL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix product operators for symmetry-protected topological phases: Gauging and edge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Dominic J. Williamson, Frank Verstraete, Jutho Haegeman, Mehmet B. Sahinoglu, Michael Mari\\\"en, Nick Bultinck","submitted_at":"2014-12-17T21:00:39Z","abstract_excerpt":"Projected entangled pair states (PEPS) provide a natural ansatz for the ground states of gapped, local Hamiltonians in which global characteristics of a quantum state are encoded in properties of local tensors. We develop a framework to describe on-site symmetries, as occurring in systems exhibiting symmetry-protected topological (SPT) quantum order, in terms of virtual symmetries of the local tensors expressed as a set of matrix product operators (MPOs) labeled by distinct group elements. These MPOs describe the possibly anomalous symmetry of the edge theory, whose local degrees of freedom ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5604","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":"2026-05-18T00:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sZnF7ityd4RxkU3i4YKlNNPbVUU8ZDEGZ1lbDnzIfpg30CBFcR9t9WpmIjT28MIdWPMlWfOJnJhyb7awQDw1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T23:31:05.366841Z"},"content_sha256":"bd6ec01150df99aff2cd27c02481e687929fffc05999f9935a3bd2b9ab5c40dd","schema_version":"1.0","event_id":"sha256:bd6ec01150df99aff2cd27c02481e687929fffc05999f9935a3bd2b9ab5c40dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FZXHJH2SEJUXHBOJP3A7I5HFBL/bundle.json","state_url":"https://pith.science/pith/FZXHJH2SEJUXHBOJP3A7I5HFBL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FZXHJH2SEJUXHBOJP3A7I5HFBL/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":"2026-05-19T23:31:05Z","links":{"resolver":"https://pith.science/pith/FZXHJH2SEJUXHBOJP3A7I5HFBL","bundle":"https://pith.science/pith/FZXHJH2SEJUXHBOJP3A7I5HFBL/bundle.json","state":"https://pith.science/pith/FZXHJH2SEJUXHBOJP3A7I5HFBL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FZXHJH2SEJUXHBOJP3A7I5HFBL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FZXHJH2SEJUXHBOJP3A7I5HFBL","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":"6857536d9180c18ac461354694cf5b127400aec81fb8e20f0689f71a440f995f","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-17T21:00:39Z","title_canon_sha256":"cf57c328dd370136a1535ce8d1d23509654739064d4a826e3018129b3d73aae9"},"schema_version":"1.0","source":{"id":"1412.5604","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5604","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5604v3","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5604","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"FZXHJH2SEJUX","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FZXHJH2SEJUXHBOJ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FZXHJH2S","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:bd6ec01150df99aff2cd27c02481e687929fffc05999f9935a3bd2b9ab5c40dd","target":"graph","created_at":"2026-05-18T00:56:12Z","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":"Projected entangled pair states (PEPS) provide a natural ansatz for the ground states of gapped, local Hamiltonians in which global characteristics of a quantum state are encoded in properties of local tensors. We develop a framework to describe on-site symmetries, as occurring in systems exhibiting symmetry-protected topological (SPT) quantum order, in terms of virtual symmetries of the local tensors expressed as a set of matrix product operators (MPOs) labeled by distinct group elements. These MPOs describe the possibly anomalous symmetry of the edge theory, whose local degrees of freedom ar","authors_text":"Dominic J. Williamson, Frank Verstraete, Jutho Haegeman, Mehmet B. Sahinoglu, Michael Mari\\\"en, Nick Bultinck","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-17T21:00:39Z","title":"Matrix product operators for symmetry-protected topological phases: Gauging and edge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5604","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":"sha256:5b1c730f8521bfab5bc13e11d23f1066d8fb6711e93ec3e3a481f01a8b430ab2","target":"record","created_at":"2026-05-18T00:56:12Z","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":"6857536d9180c18ac461354694cf5b127400aec81fb8e20f0689f71a440f995f","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-17T21:00:39Z","title_canon_sha256":"cf57c328dd370136a1535ce8d1d23509654739064d4a826e3018129b3d73aae9"},"schema_version":"1.0","source":{"id":"1412.5604","kind":"arxiv","version":3}},"canonical_sha256":"2e6e749f5222697385c97ec1f474e50ae32e3fd7ccf240e99054a2ddd7565990","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e6e749f5222697385c97ec1f474e50ae32e3fd7ccf240e99054a2ddd7565990","first_computed_at":"2026-05-18T00:56:12.603741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:12.603741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vzzuyycM69ezdHtJKTAA4SdAsTltMqiJqBzIw6Rz3HUdZ1paUI+CPNShuRQNMYtKNRop9AV+14rYfZlJN0SlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:12.604269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.5604","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b1c730f8521bfab5bc13e11d23f1066d8fb6711e93ec3e3a481f01a8b430ab2","sha256:bd6ec01150df99aff2cd27c02481e687929fffc05999f9935a3bd2b9ab5c40dd"],"state_sha256":"6c744323e61ef5d63e7f536c69a21f64021ff58aff02e96dbde63ac66d1aeeb3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IqY86BZ8gC9yQ+FbT3PZh3QmL8TmAOpiYBwe8BpkxcemdcMhHpuM175LX93KRaJIZ0sucsfNrJtUcfFkmQbdBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T23:31:05.371047Z","bundle_sha256":"d57f3031047e9090ae861c84f270be169d9dd8ed890443b34ddecaa1cd0b62a2"}}