{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:U4FKR5QC65XQMRBXZ44LQLCRWZ","short_pith_number":"pith:U4FKR5QC","canonical_record":{"source":{"id":"1705.01106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-02T18:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"f3d480c417c32ed4970e8868502df90483a2e0d35b2dc3ba89112b0225ee16bc","abstract_canon_sha256":"daadaa6e909de368070ccdb75cac1f4fc76048088100fa51b72357c995748c09"},"schema_version":"1.0"},"canonical_sha256":"a70aa8f602f76f064437cf38b82c51b647cba68f2e41608f7a11d4d9d3da0ff4","source":{"kind":"arxiv","id":"1705.01106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01106","created_at":"2026-05-18T00:32:10Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01106v1","created_at":"2026-05-18T00:32:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01106","created_at":"2026-05-18T00:32:10Z"},{"alias_kind":"pith_short_12","alias_value":"U4FKR5QC65XQ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U4FKR5QC65XQMRBX","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U4FKR5QC","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:U4FKR5QC65XQMRBXZ44LQLCRWZ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.01106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-02T18:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"f3d480c417c32ed4970e8868502df90483a2e0d35b2dc3ba89112b0225ee16bc","abstract_canon_sha256":"daadaa6e909de368070ccdb75cac1f4fc76048088100fa51b72357c995748c09"},"schema_version":"1.0"},"canonical_sha256":"a70aa8f602f76f064437cf38b82c51b647cba68f2e41608f7a11d4d9d3da0ff4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:10.432960Z","signature_b64":"n1jMlLF5lPlKbazHb4olf63sYYt2fbSDecGYZJeoyjFD4O1g4HDUDoF2p6C8odSUqDGt8MBfIjcho4GWC/fcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a70aa8f602f76f064437cf38b82c51b647cba68f2e41608f7a11d4d9d3da0ff4","last_reissued_at":"2026-05-18T00:32:10.432177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:10.432177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.01106","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":"2026-05-18T00:32:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJ40u0W25dC5gkHtNrxGVJoqMFgyNpgBJ0itHsv4pxtICl3lzEnKZN9N46zoweUBQrT1sBlEXLtFUDHk85iRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:51:54.342456Z"},"content_sha256":"e9861100c5892245812736381e90fa7034ebe8d07e3ba15ffc76298bdbb9845c","schema_version":"1.0","event_id":"sha256:e9861100c5892245812736381e90fa7034ebe8d07e3ba15ffc76298bdbb9845c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:U4FKR5QC65XQMRBXZ44LQLCRWZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry and duality in bosonization of two-dimensional Dirac fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"David F. Mross, Jason Alicea, Olexei I. Motrunich","submitted_at":"2017-05-02T18:00:06Z","abstract_excerpt":"Recent work on a family of boson-fermion mappings has emphasized the interplay of symmetry and duality: Phases related by a particle-vortex duality of bosons (fermions) are related by time-reversal symmetry in their fermionic (bosonic) formulation. We present exact mappings for a number of concrete models that make this property explicit on the operator level. We illustrate the approach with one- and two-dimensional quantum Ising models, and then similarly explore the duality web of complex bosons and Dirac fermions in (2+1) dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01106","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":"2026-05-18T00:32:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3v3UPK1CtAz4PCRTX1I9qtev3+tBClDPi5g4IERWoIDVzVbKmSTQrycAJAdGsIAXi0kiqJYzfwYktpeyYNwDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:51:54.343026Z"},"content_sha256":"8b2d2e6bf46b7bba4c80f146c17af2bcad37e195a1d0e28d268501be47e70f11","schema_version":"1.0","event_id":"sha256:8b2d2e6bf46b7bba4c80f146c17af2bcad37e195a1d0e28d268501be47e70f11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4FKR5QC65XQMRBXZ44LQLCRWZ/bundle.json","state_url":"https://pith.science/pith/U4FKR5QC65XQMRBXZ44LQLCRWZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4FKR5QC65XQMRBXZ44LQLCRWZ/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":"2026-06-07T18:51:54Z","links":{"resolver":"https://pith.science/pith/U4FKR5QC65XQMRBXZ44LQLCRWZ","bundle":"https://pith.science/pith/U4FKR5QC65XQMRBXZ44LQLCRWZ/bundle.json","state":"https://pith.science/pith/U4FKR5QC65XQMRBXZ44LQLCRWZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4FKR5QC65XQMRBXZ44LQLCRWZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U4FKR5QC65XQMRBXZ44LQLCRWZ","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":"daadaa6e909de368070ccdb75cac1f4fc76048088100fa51b72357c995748c09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-02T18:00:06Z","title_canon_sha256":"f3d480c417c32ed4970e8868502df90483a2e0d35b2dc3ba89112b0225ee16bc"},"schema_version":"1.0","source":{"id":"1705.01106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01106","created_at":"2026-05-18T00:32:10Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01106v1","created_at":"2026-05-18T00:32:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01106","created_at":"2026-05-18T00:32:10Z"},{"alias_kind":"pith_short_12","alias_value":"U4FKR5QC65XQ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U4FKR5QC65XQMRBX","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U4FKR5QC","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:8b2d2e6bf46b7bba4c80f146c17af2bcad37e195a1d0e28d268501be47e70f11","target":"graph","created_at":"2026-05-18T00:32:10Z","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":"Recent work on a family of boson-fermion mappings has emphasized the interplay of symmetry and duality: Phases related by a particle-vortex duality of bosons (fermions) are related by time-reversal symmetry in their fermionic (bosonic) formulation. We present exact mappings for a number of concrete models that make this property explicit on the operator level. We illustrate the approach with one- and two-dimensional quantum Ising models, and then similarly explore the duality web of complex bosons and Dirac fermions in (2+1) dimensions.","authors_text":"David F. Mross, Jason Alicea, Olexei I. Motrunich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-02T18:00:06Z","title":"Symmetry and duality in bosonization of two-dimensional Dirac fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01106","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:e9861100c5892245812736381e90fa7034ebe8d07e3ba15ffc76298bdbb9845c","target":"record","created_at":"2026-05-18T00:32:10Z","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":"daadaa6e909de368070ccdb75cac1f4fc76048088100fa51b72357c995748c09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-02T18:00:06Z","title_canon_sha256":"f3d480c417c32ed4970e8868502df90483a2e0d35b2dc3ba89112b0225ee16bc"},"schema_version":"1.0","source":{"id":"1705.01106","kind":"arxiv","version":1}},"canonical_sha256":"a70aa8f602f76f064437cf38b82c51b647cba68f2e41608f7a11d4d9d3da0ff4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a70aa8f602f76f064437cf38b82c51b647cba68f2e41608f7a11d4d9d3da0ff4","first_computed_at":"2026-05-18T00:32:10.432177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:10.432177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n1jMlLF5lPlKbazHb4olf63sYYt2fbSDecGYZJeoyjFD4O1g4HDUDoF2p6C8odSUqDGt8MBfIjcho4GWC/fcAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:10.432960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9861100c5892245812736381e90fa7034ebe8d07e3ba15ffc76298bdbb9845c","sha256:8b2d2e6bf46b7bba4c80f146c17af2bcad37e195a1d0e28d268501be47e70f11"],"state_sha256":"02f641e8f51aba891d2678f1689436de32339688fd1918b5de1e5e9b3d2a034b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y7MM4GX9uQzQVM/tmKF8LBR39hJqOJffFdl6nO8nKZ7FYGQmHDDEzRSK6+BXsZXp9gt6eJ6uZCFkGnEGntwtBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:51:54.346289Z","bundle_sha256":"67cfc3ece0e40509f1af51bf5444078eef29cc85815e86381d7423b4e69c2415"}}