{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FDPEOFQSBTNFYV4MQIGUF2MHOD","short_pith_number":"pith:FDPEOFQS","canonical_record":{"source":{"id":"1508.01649","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-07T10:20:02Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"743b3fe05c2a67bfef7cc63b3a6598d71cc240bfce9595c1ad467b240c5fa0f1","abstract_canon_sha256":"84348a13c89074af0f2a620dd5985dee5b4166c0adc3bff1ad8b81ce6afa7254"},"schema_version":"1.0"},"canonical_sha256":"28de4716120cda5c578c820d42e98770d93fc012da7159a17bb4b1148dfcd1a7","source":{"kind":"arxiv","id":"1508.01649","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01649","created_at":"2026-05-18T01:34:30Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01649v1","created_at":"2026-05-18T01:34:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01649","created_at":"2026-05-18T01:34:30Z"},{"alias_kind":"pith_short_12","alias_value":"FDPEOFQSBTNF","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FDPEOFQSBTNFYV4M","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FDPEOFQS","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FDPEOFQSBTNFYV4MQIGUF2MHOD","target":"record","payload":{"canonical_record":{"source":{"id":"1508.01649","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-07T10:20:02Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"743b3fe05c2a67bfef7cc63b3a6598d71cc240bfce9595c1ad467b240c5fa0f1","abstract_canon_sha256":"84348a13c89074af0f2a620dd5985dee5b4166c0adc3bff1ad8b81ce6afa7254"},"schema_version":"1.0"},"canonical_sha256":"28de4716120cda5c578c820d42e98770d93fc012da7159a17bb4b1148dfcd1a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:30.792540Z","signature_b64":"sUfmzyDoWNexCvCpHRUichc6iET52IWRBJpi6KJMqOBmCIeQjqphPwHZiSEyrchH4OK5KXYSSRhFq/06wOWMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28de4716120cda5c578c820d42e98770d93fc012da7159a17bb4b1148dfcd1a7","last_reissued_at":"2026-05-18T01:34:30.792087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:30.792087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.01649","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":"2026-05-18T01:34:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OgrP0gArX/RpUTtFIED0shE9gHa0fd8cyJI7bWSxZw4TTRoKi4dWTtWmPy2+ZhUb3U1/qFqlkL4pmW6gNCFLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:20:17.857160Z"},"content_sha256":"c46328c7a8157ee952a3636d8813332ad58d2c04a6ace674e45a8bf6602739d4","schema_version":"1.0","event_id":"sha256:c46328c7a8157ee952a3636d8813332ad58d2c04a6ace674e45a8bf6602739d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FDPEOFQSBTNFYV4MQIGUF2MHOD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Brownian Motion on a Triangular Lattice and Fermi-Bose Equivalence: An Application of Boundary State Formulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Taejin Lee","submitted_at":"2015-08-07T10:20:02Z","abstract_excerpt":"We discuss the Bose-Fermi equivalence in the quantum Brownian motion (QBM) on a triangular lattice, mapping the action for the QBM into a string theory action with a periodic boundary tachyon potential. We construct new Klein factors which are more appropriate than the conventional ones to deal with the quantum field theories defined on a two dimensioanl space-time with boundaries. Using the Fermi-Bose equivalence with the new Klein factors, we show that the model for the quantum Bownian motion on a triangular lattice is equivalent to the Thirring model with boundary terms, which are quadratic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01649","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":"2026-05-18T01:34:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PQtKT8ksJ+bu6dRjKZ29pFHfJSfeJdJu4Gjtqn7+k5PDv5nxdup+gSrlZt8CdEhrz/n023Fv0ePXAdhQ1MvEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:20:17.857562Z"},"content_sha256":"e46dbf0f602fc3edec44a1280b737ec86da4588620731c951894785b19c4cffc","schema_version":"1.0","event_id":"sha256:e46dbf0f602fc3edec44a1280b737ec86da4588620731c951894785b19c4cffc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FDPEOFQSBTNFYV4MQIGUF2MHOD/bundle.json","state_url":"https://pith.science/pith/FDPEOFQSBTNFYV4MQIGUF2MHOD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FDPEOFQSBTNFYV4MQIGUF2MHOD/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":"2026-05-28T17:20:17Z","links":{"resolver":"https://pith.science/pith/FDPEOFQSBTNFYV4MQIGUF2MHOD","bundle":"https://pith.science/pith/FDPEOFQSBTNFYV4MQIGUF2MHOD/bundle.json","state":"https://pith.science/pith/FDPEOFQSBTNFYV4MQIGUF2MHOD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FDPEOFQSBTNFYV4MQIGUF2MHOD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FDPEOFQSBTNFYV4MQIGUF2MHOD","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":"84348a13c89074af0f2a620dd5985dee5b4166c0adc3bff1ad8b81ce6afa7254","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-07T10:20:02Z","title_canon_sha256":"743b3fe05c2a67bfef7cc63b3a6598d71cc240bfce9595c1ad467b240c5fa0f1"},"schema_version":"1.0","source":{"id":"1508.01649","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01649","created_at":"2026-05-18T01:34:30Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01649v1","created_at":"2026-05-18T01:34:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01649","created_at":"2026-05-18T01:34:30Z"},{"alias_kind":"pith_short_12","alias_value":"FDPEOFQSBTNF","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FDPEOFQSBTNFYV4M","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FDPEOFQS","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:e46dbf0f602fc3edec44a1280b737ec86da4588620731c951894785b19c4cffc","target":"graph","created_at":"2026-05-18T01:34:30Z","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 discuss the Bose-Fermi equivalence in the quantum Brownian motion (QBM) on a triangular lattice, mapping the action for the QBM into a string theory action with a periodic boundary tachyon potential. We construct new Klein factors which are more appropriate than the conventional ones to deal with the quantum field theories defined on a two dimensioanl space-time with boundaries. Using the Fermi-Bose equivalence with the new Klein factors, we show that the model for the quantum Bownian motion on a triangular lattice is equivalent to the Thirring model with boundary terms, which are quadratic","authors_text":"Taejin Lee","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-07T10:20:02Z","title":"Quantum Brownian Motion on a Triangular Lattice and Fermi-Bose Equivalence: An Application of Boundary State Formulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01649","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:c46328c7a8157ee952a3636d8813332ad58d2c04a6ace674e45a8bf6602739d4","target":"record","created_at":"2026-05-18T01:34:30Z","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":"84348a13c89074af0f2a620dd5985dee5b4166c0adc3bff1ad8b81ce6afa7254","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-07T10:20:02Z","title_canon_sha256":"743b3fe05c2a67bfef7cc63b3a6598d71cc240bfce9595c1ad467b240c5fa0f1"},"schema_version":"1.0","source":{"id":"1508.01649","kind":"arxiv","version":1}},"canonical_sha256":"28de4716120cda5c578c820d42e98770d93fc012da7159a17bb4b1148dfcd1a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28de4716120cda5c578c820d42e98770d93fc012da7159a17bb4b1148dfcd1a7","first_computed_at":"2026-05-18T01:34:30.792087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:30.792087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sUfmzyDoWNexCvCpHRUichc6iET52IWRBJpi6KJMqOBmCIeQjqphPwHZiSEyrchH4OK5KXYSSRhFq/06wOWMDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:30.792540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.01649","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c46328c7a8157ee952a3636d8813332ad58d2c04a6ace674e45a8bf6602739d4","sha256:e46dbf0f602fc3edec44a1280b737ec86da4588620731c951894785b19c4cffc"],"state_sha256":"9e4c4bde0dec5071b2e1ef7a365cd91b8994422765e2462691994def575dcdc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4z7lQh4nnY+a2Xte2CZagkxQmjRaKW3Qvhk9OyAhgnXy0QCjsf1BguNaE+4ULXN51qN4z7Zgi9paRc+SImhBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:20:17.859797Z","bundle_sha256":"2664841fc821a316b17b4e4f29b19bd58746fcb80c4c093c203e538e29732c4f"}}