{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:DLNVR5HYE4GO3NCMLKQU23KIPH","short_pith_number":"pith:DLNVR5HY","canonical_record":{"source":{"id":"1007.1870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-12T11:21:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8c03d776f33343e0e4f1ae949d8ed083bfa29342719501b8ffe5e894f984c233","abstract_canon_sha256":"c2a6a355a4a6d83b5a631054262cc3f912b3fdda901ffac10844a8fd7c8c2842"},"schema_version":"1.0"},"canonical_sha256":"1adb58f4f8270cedb44c5aa14d6d4879c2e01b0c7f3e74844487e2be07e51461","source":{"kind":"arxiv","id":"1007.1870","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1870","created_at":"2026-05-18T02:06:22Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1870v1","created_at":"2026-05-18T02:06:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1870","created_at":"2026-05-18T02:06:22Z"},{"alias_kind":"pith_short_12","alias_value":"DLNVR5HYE4GO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DLNVR5HYE4GO3NCM","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DLNVR5HY","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:DLNVR5HYE4GO3NCMLKQU23KIPH","target":"record","payload":{"canonical_record":{"source":{"id":"1007.1870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-12T11:21:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8c03d776f33343e0e4f1ae949d8ed083bfa29342719501b8ffe5e894f984c233","abstract_canon_sha256":"c2a6a355a4a6d83b5a631054262cc3f912b3fdda901ffac10844a8fd7c8c2842"},"schema_version":"1.0"},"canonical_sha256":"1adb58f4f8270cedb44c5aa14d6d4879c2e01b0c7f3e74844487e2be07e51461","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:22.981556Z","signature_b64":"pQpIRHxYJtsIVCSWZSwomcpxEo1oGoc98rEVGixNJjxn21GWgGsnHPM+S3ReCFxSub+Jz2M3RAwk4s7RK9njDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1adb58f4f8270cedb44c5aa14d6d4879c2e01b0c7f3e74844487e2be07e51461","last_reissued_at":"2026-05-18T02:06:22.980868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:22.980868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.1870","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":"2026-05-18T02:06:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1mSvTvkm6OkLYLR1r4Aj3WJCNNH2VXIhh5zU4DYvESxVkw/R+uzEglXfVM+lS4ssF0uj7dNG1lB7kpF3FMt/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:51:35.952778Z"},"content_sha256":"31c0a82a3c22c4a7159ae43167690c2206f3a58a78844219dc535ad5a514b064","schema_version":"1.0","event_id":"sha256:31c0a82a3c22c4a7159ae43167690c2206f3a58a78844219dc535ad5a514b064"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:DLNVR5HYE4GO3NCMLKQU23KIPH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized algebraic transformations and exactly solvable classical-quantum models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jozef Strecka","submitted_at":"2010-07-12T11:21:21Z","abstract_excerpt":"The rigorous approach aimed at providing exact analytical results for hybrid classical-quantum models is elaborated on the grounds of generalized algebraic mapping transformations. This conceptually simple method allows one to obtain novel interesting exact results for the hybrid classical-quantum models, which may for instance describe interacting many-particle systems composed of the classical Ising spins and quantum Heisenberg spins, the localized Ising spins and delocalized electrons, or many other hybrid systems of a mixed classical-quantum nature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1870","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":"2026-05-18T02:06:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bYc/4h/x0KyvCcPPxHLrU5FJ3VWKLMbsSQ6ZStwvtKIjxhiJGjIffgI+tyq9Kcjua0gqc/OyptB3MVE/t9GZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:51:35.953343Z"},"content_sha256":"ddc89aa9a3fa98932468c6128906122e3aa2f8862b17f009f7b6221c199d4553","schema_version":"1.0","event_id":"sha256:ddc89aa9a3fa98932468c6128906122e3aa2f8862b17f009f7b6221c199d4553"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DLNVR5HYE4GO3NCMLKQU23KIPH/bundle.json","state_url":"https://pith.science/pith/DLNVR5HYE4GO3NCMLKQU23KIPH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DLNVR5HYE4GO3NCMLKQU23KIPH/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":"2026-05-26T07:51:35Z","links":{"resolver":"https://pith.science/pith/DLNVR5HYE4GO3NCMLKQU23KIPH","bundle":"https://pith.science/pith/DLNVR5HYE4GO3NCMLKQU23KIPH/bundle.json","state":"https://pith.science/pith/DLNVR5HYE4GO3NCMLKQU23KIPH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DLNVR5HYE4GO3NCMLKQU23KIPH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DLNVR5HYE4GO3NCMLKQU23KIPH","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":"c2a6a355a4a6d83b5a631054262cc3f912b3fdda901ffac10844a8fd7c8c2842","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-12T11:21:21Z","title_canon_sha256":"8c03d776f33343e0e4f1ae949d8ed083bfa29342719501b8ffe5e894f984c233"},"schema_version":"1.0","source":{"id":"1007.1870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1870","created_at":"2026-05-18T02:06:22Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1870v1","created_at":"2026-05-18T02:06:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1870","created_at":"2026-05-18T02:06:22Z"},{"alias_kind":"pith_short_12","alias_value":"DLNVR5HYE4GO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DLNVR5HYE4GO3NCM","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DLNVR5HY","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:ddc89aa9a3fa98932468c6128906122e3aa2f8862b17f009f7b6221c199d4553","target":"graph","created_at":"2026-05-18T02:06:22Z","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":"The rigorous approach aimed at providing exact analytical results for hybrid classical-quantum models is elaborated on the grounds of generalized algebraic mapping transformations. This conceptually simple method allows one to obtain novel interesting exact results for the hybrid classical-quantum models, which may for instance describe interacting many-particle systems composed of the classical Ising spins and quantum Heisenberg spins, the localized Ising spins and delocalized electrons, or many other hybrid systems of a mixed classical-quantum nature.","authors_text":"Jozef Strecka","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-12T11:21:21Z","title":"Generalized algebraic transformations and exactly solvable classical-quantum models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1870","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":"sha256:31c0a82a3c22c4a7159ae43167690c2206f3a58a78844219dc535ad5a514b064","target":"record","created_at":"2026-05-18T02:06:22Z","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":"c2a6a355a4a6d83b5a631054262cc3f912b3fdda901ffac10844a8fd7c8c2842","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-12T11:21:21Z","title_canon_sha256":"8c03d776f33343e0e4f1ae949d8ed083bfa29342719501b8ffe5e894f984c233"},"schema_version":"1.0","source":{"id":"1007.1870","kind":"arxiv","version":1}},"canonical_sha256":"1adb58f4f8270cedb44c5aa14d6d4879c2e01b0c7f3e74844487e2be07e51461","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1adb58f4f8270cedb44c5aa14d6d4879c2e01b0c7f3e74844487e2be07e51461","first_computed_at":"2026-05-18T02:06:22.980868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:22.980868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pQpIRHxYJtsIVCSWZSwomcpxEo1oGoc98rEVGixNJjxn21GWgGsnHPM+S3ReCFxSub+Jz2M3RAwk4s7RK9njDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:22.981556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.1870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31c0a82a3c22c4a7159ae43167690c2206f3a58a78844219dc535ad5a514b064","sha256:ddc89aa9a3fa98932468c6128906122e3aa2f8862b17f009f7b6221c199d4553"],"state_sha256":"1c37ce904e0ff7899975bf7906722d8d816b4c4badb73e8c2e3aa704094e9ac2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7YF+odactqRhQHrTzAVxOcHdgruO4Di6gqHsH2BUwgCIBGr7/didkEdOHfiUQYjUeqfiMmcbvp4Kgg4u5kuXCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:51:35.956326Z","bundle_sha256":"d2b8606bde24bfecd040474c86bbe3c796f3fb9901789932d9088d676e6b8b62"}}