{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QT7QS7HAU2A527FWZHY6HBALUY","short_pith_number":"pith:QT7QS7HA","canonical_record":{"source":{"id":"1112.1017","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-05T18:09:18Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"c6e6220c801e4c8caf69321279d08b2699f33263093d535689a03ebf913edeee","abstract_canon_sha256":"2cc1f6c210d1ea1abf747a111fffbebc4dd0e232367693da73cd1db7b8899883"},"schema_version":"1.0"},"canonical_sha256":"84ff097ce0a681dd7cb6c9f1e3840ba601147150b3bf6735fe23878d798d9ed0","source":{"kind":"arxiv","id":"1112.1017","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1017","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1017v2","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1017","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"pith_short_12","alias_value":"QT7QS7HAU2A5","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QT7QS7HAU2A527FW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QT7QS7HA","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QT7QS7HAU2A527FWZHY6HBALUY","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1017","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-05T18:09:18Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"c6e6220c801e4c8caf69321279d08b2699f33263093d535689a03ebf913edeee","abstract_canon_sha256":"2cc1f6c210d1ea1abf747a111fffbebc4dd0e232367693da73cd1db7b8899883"},"schema_version":"1.0"},"canonical_sha256":"84ff097ce0a681dd7cb6c9f1e3840ba601147150b3bf6735fe23878d798d9ed0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:51.034769Z","signature_b64":"VCOfk9ANTb0/3NzscJNC5tB2Yvv+Z2O1twlx3ckF4BKn4jG7sJ0lMgTVBQomglGQ+DwmxyvWWKOpFy3YwFipCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84ff097ce0a681dd7cb6c9f1e3840ba601147150b3bf6735fe23878d798d9ed0","last_reissued_at":"2026-05-18T03:58:51.034176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:51.034176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1017","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JYEbDNpy1InK3tX1Kc7oVdfwFnCrhbK8uw/I/VcB0+fnSWfxcpA1RkBWQL2XJWxVVafTaC4v5xYDn3LcLOEGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:34:06.397538Z"},"content_sha256":"edcaa2896a3ebc3235da5cb26a2115c6bf9ae1f5829c117841b01dc7f5c00675","schema_version":"1.0","event_id":"sha256:edcaa2896a3ebc3235da5cb26a2115c6bf9ae1f5829c117841b01dc7f5c00675"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QT7QS7HAU2A527FWZHY6HBALUY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Toric Codes Coupled to Thermal Baths","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"A. Rivas, M. A. Martin-Delgado, O. Viyuela","submitted_at":"2011-12-05T18:09:18Z","abstract_excerpt":"We have studied the dynamics of a generalized toric code based on qudits at finite temperature by finding the master equation coupling the code's degrees of freedom to a thermal bath. As a consequence, we find that for qutrits new types of anyons and thermal processes appear that are forbidden for qubits. These include creation, annihilation and diffusion throughout the system code. It is possible to solve the master equation in a short-time regime and find expressions for the decay rates as a function of the dimension $d$ of the qudits. Although we provide an explicit proof that the system re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1017","kind":"arxiv","version":2},"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":"2026-05-18T03:58:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"blpvSHGwhSUHnAwQwZOGcLQtuWw3j81fOoR7R570sw8ME7b6F8V6++nwjIJcfFdZBXlm6cNSzZxPFYFdFjWWDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:34:06.397871Z"},"content_sha256":"a43323772b65666f97171bde01a1da040386f7997204bc51f4acdf6b97b1bdac","schema_version":"1.0","event_id":"sha256:a43323772b65666f97171bde01a1da040386f7997204bc51f4acdf6b97b1bdac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QT7QS7HAU2A527FWZHY6HBALUY/bundle.json","state_url":"https://pith.science/pith/QT7QS7HAU2A527FWZHY6HBALUY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QT7QS7HAU2A527FWZHY6HBALUY/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":"2026-06-01T03:34:06Z","links":{"resolver":"https://pith.science/pith/QT7QS7HAU2A527FWZHY6HBALUY","bundle":"https://pith.science/pith/QT7QS7HAU2A527FWZHY6HBALUY/bundle.json","state":"https://pith.science/pith/QT7QS7HAU2A527FWZHY6HBALUY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QT7QS7HAU2A527FWZHY6HBALUY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QT7QS7HAU2A527FWZHY6HBALUY","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":"2cc1f6c210d1ea1abf747a111fffbebc4dd0e232367693da73cd1db7b8899883","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-05T18:09:18Z","title_canon_sha256":"c6e6220c801e4c8caf69321279d08b2699f33263093d535689a03ebf913edeee"},"schema_version":"1.0","source":{"id":"1112.1017","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1017","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1017v2","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1017","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"pith_short_12","alias_value":"QT7QS7HAU2A5","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QT7QS7HAU2A527FW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QT7QS7HA","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:a43323772b65666f97171bde01a1da040386f7997204bc51f4acdf6b97b1bdac","target":"graph","created_at":"2026-05-18T03:58:51Z","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 have studied the dynamics of a generalized toric code based on qudits at finite temperature by finding the master equation coupling the code's degrees of freedom to a thermal bath. As a consequence, we find that for qutrits new types of anyons and thermal processes appear that are forbidden for qubits. These include creation, annihilation and diffusion throughout the system code. It is possible to solve the master equation in a short-time regime and find expressions for the decay rates as a function of the dimension $d$ of the qudits. Although we provide an explicit proof that the system re","authors_text":"A. Rivas, M. A. Martin-Delgado, O. Viyuela","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-05T18:09:18Z","title":"Generalized Toric Codes Coupled to Thermal Baths"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1017","kind":"arxiv","version":2},"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:edcaa2896a3ebc3235da5cb26a2115c6bf9ae1f5829c117841b01dc7f5c00675","target":"record","created_at":"2026-05-18T03:58:51Z","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":"2cc1f6c210d1ea1abf747a111fffbebc4dd0e232367693da73cd1db7b8899883","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-05T18:09:18Z","title_canon_sha256":"c6e6220c801e4c8caf69321279d08b2699f33263093d535689a03ebf913edeee"},"schema_version":"1.0","source":{"id":"1112.1017","kind":"arxiv","version":2}},"canonical_sha256":"84ff097ce0a681dd7cb6c9f1e3840ba601147150b3bf6735fe23878d798d9ed0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84ff097ce0a681dd7cb6c9f1e3840ba601147150b3bf6735fe23878d798d9ed0","first_computed_at":"2026-05-18T03:58:51.034176Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:51.034176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VCOfk9ANTb0/3NzscJNC5tB2Yvv+Z2O1twlx3ckF4BKn4jG7sJ0lMgTVBQomglGQ+DwmxyvWWKOpFy3YwFipCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:51.034769Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1017","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edcaa2896a3ebc3235da5cb26a2115c6bf9ae1f5829c117841b01dc7f5c00675","sha256:a43323772b65666f97171bde01a1da040386f7997204bc51f4acdf6b97b1bdac"],"state_sha256":"dbdbdefd407f16c3cf98a94f611d2f32c29fdc0535d4648287e59d38b235cb35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jk4DGCdEMA+mZS9bWgUXN9+8iPA27skrInus1l+mFg5EHaInu/gWI8lRQwz/QWNCS0xx8tvgyHBJ2Jjt8a/MBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:34:06.399790Z","bundle_sha256":"a656c7122294e308acd11098cd572c0b9be08477e0b81d34c4de68a57146f76d"}}