{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DK4UZSBJ4TRB5LVR3ZCATYNUV4","short_pith_number":"pith:DK4UZSBJ","canonical_record":{"source":{"id":"1601.03205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-13T11:33:34Z","cross_cats_sorted":[],"title_canon_sha256":"f8c15288c1ba72d29fab0efb271ee396572703b8b6f71154b3c13d9c0e185c44","abstract_canon_sha256":"5c700c9ec8fc5c19ef6c2d165dd97ae5dcd4d8ca45051bc772b8cd703c4802e5"},"schema_version":"1.0"},"canonical_sha256":"1ab94cc829e4e21eaeb1de4409e1b4af21bf87a4aa3bdbfc3a8f835b64295f5a","source":{"kind":"arxiv","id":"1601.03205","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03205","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03205v1","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03205","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"DK4UZSBJ4TRB","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DK4UZSBJ4TRB5LVR","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DK4UZSBJ","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DK4UZSBJ4TRB5LVR3ZCATYNUV4","target":"record","payload":{"canonical_record":{"source":{"id":"1601.03205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-13T11:33:34Z","cross_cats_sorted":[],"title_canon_sha256":"f8c15288c1ba72d29fab0efb271ee396572703b8b6f71154b3c13d9c0e185c44","abstract_canon_sha256":"5c700c9ec8fc5c19ef6c2d165dd97ae5dcd4d8ca45051bc772b8cd703c4802e5"},"schema_version":"1.0"},"canonical_sha256":"1ab94cc829e4e21eaeb1de4409e1b4af21bf87a4aa3bdbfc3a8f835b64295f5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:58.843089Z","signature_b64":"tSGyhzV7VGDTnIWqazUGdpsJCKIGJY0nimDH1KhdH5hH2Ed79uE47nmBIHR8xWozmh7oNEF7uD7eW5VWZ6QWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ab94cc829e4e21eaeb1de4409e1b4af21bf87a4aa3bdbfc3a8f835b64295f5a","last_reissued_at":"2026-05-18T00:59:58.842606Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:58.842606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.03205","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":"2026-05-18T00:59:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DelsfRM/SkguGyZtxql3KWaeaEBwRHSMyz3sCjgi1IZw2BJ89ZFw9blMNIy3uaFHWXSotMochfCR8iGL95qBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:10:49.954785Z"},"content_sha256":"c7c630448d1f9f4d92468a4805871d0d38423da927c650060729d8d1cc4dce97","schema_version":"1.0","event_id":"sha256:c7c630448d1f9f4d92468a4805871d0d38423da927c650060729d8d1cc4dce97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DK4UZSBJ4TRB5LVR3ZCATYNUV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A high-temperature expansion method for calculating paramagnetic exchange interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"O. M. Sotnikov, V. V. Mazurenko","submitted_at":"2016-01-13T11:33:34Z","abstract_excerpt":"The method for calculating the isotropic exchange interactions in the paramagnetic phase is proposed. It is based on the mapping of the high-temperature expansion of the spin-spin correlation function calculated for the Heisenberg model onto Hubbard Hamiltonian one. The resulting expression for the exchange interaction has a compact and transparent formulation. The quality of the calculated exchange interactions is estimated by comparing the eigenvalue spectra of the Heisenberg model and low-energy magnetic part of the Hubbard model. By the example of quantum rings with different hopping setup"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03205","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":"2026-05-18T00:59:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WchSLFqL5JCGSK4edawZfRk9+ST0b8UzcGurE1b0uPt2nAwh8dtsJO44kluhMu6Yj+RolP5abv4YA0C/R2LjCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:10:49.955376Z"},"content_sha256":"f35e602d82ecddc5806b6fa22834fb5e9ff768e916687adb2f28efd42975762d","schema_version":"1.0","event_id":"sha256:f35e602d82ecddc5806b6fa22834fb5e9ff768e916687adb2f28efd42975762d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DK4UZSBJ4TRB5LVR3ZCATYNUV4/bundle.json","state_url":"https://pith.science/pith/DK4UZSBJ4TRB5LVR3ZCATYNUV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DK4UZSBJ4TRB5LVR3ZCATYNUV4/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":"2026-05-28T04:10:49Z","links":{"resolver":"https://pith.science/pith/DK4UZSBJ4TRB5LVR3ZCATYNUV4","bundle":"https://pith.science/pith/DK4UZSBJ4TRB5LVR3ZCATYNUV4/bundle.json","state":"https://pith.science/pith/DK4UZSBJ4TRB5LVR3ZCATYNUV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DK4UZSBJ4TRB5LVR3ZCATYNUV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DK4UZSBJ4TRB5LVR3ZCATYNUV4","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":"5c700c9ec8fc5c19ef6c2d165dd97ae5dcd4d8ca45051bc772b8cd703c4802e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-13T11:33:34Z","title_canon_sha256":"f8c15288c1ba72d29fab0efb271ee396572703b8b6f71154b3c13d9c0e185c44"},"schema_version":"1.0","source":{"id":"1601.03205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03205","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03205v1","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03205","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"DK4UZSBJ4TRB","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DK4UZSBJ4TRB5LVR","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DK4UZSBJ","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:f35e602d82ecddc5806b6fa22834fb5e9ff768e916687adb2f28efd42975762d","target":"graph","created_at":"2026-05-18T00:59:58Z","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 method for calculating the isotropic exchange interactions in the paramagnetic phase is proposed. It is based on the mapping of the high-temperature expansion of the spin-spin correlation function calculated for the Heisenberg model onto Hubbard Hamiltonian one. The resulting expression for the exchange interaction has a compact and transparent formulation. The quality of the calculated exchange interactions is estimated by comparing the eigenvalue spectra of the Heisenberg model and low-energy magnetic part of the Hubbard model. By the example of quantum rings with different hopping setup","authors_text":"O. M. Sotnikov, V. V. Mazurenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-13T11:33:34Z","title":"A high-temperature expansion method for calculating paramagnetic exchange interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03205","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:c7c630448d1f9f4d92468a4805871d0d38423da927c650060729d8d1cc4dce97","target":"record","created_at":"2026-05-18T00:59:58Z","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":"5c700c9ec8fc5c19ef6c2d165dd97ae5dcd4d8ca45051bc772b8cd703c4802e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-13T11:33:34Z","title_canon_sha256":"f8c15288c1ba72d29fab0efb271ee396572703b8b6f71154b3c13d9c0e185c44"},"schema_version":"1.0","source":{"id":"1601.03205","kind":"arxiv","version":1}},"canonical_sha256":"1ab94cc829e4e21eaeb1de4409e1b4af21bf87a4aa3bdbfc3a8f835b64295f5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ab94cc829e4e21eaeb1de4409e1b4af21bf87a4aa3bdbfc3a8f835b64295f5a","first_computed_at":"2026-05-18T00:59:58.842606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:58.842606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tSGyhzV7VGDTnIWqazUGdpsJCKIGJY0nimDH1KhdH5hH2Ed79uE47nmBIHR8xWozmh7oNEF7uD7eW5VWZ6QWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:58.843089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7c630448d1f9f4d92468a4805871d0d38423da927c650060729d8d1cc4dce97","sha256:f35e602d82ecddc5806b6fa22834fb5e9ff768e916687adb2f28efd42975762d"],"state_sha256":"8b32afc2cc961c6999fa367bbb227b9cb12ca63405c900d95e9cea00e94e3826"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RhV5q9kehpc7Z0LKVrqd0hly1HbQaAli5I3zRgIxH3169g0kbCvSePDRpCn1bTjSAwiUqiIldQP0u7cPTTptBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:10:49.958102Z","bundle_sha256":"e940c1d31f1ff86136b420438c7e3408e8d1e3dec60a0492e3f8e4cd50e54179"}}