{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7XDMJNWYMEZDIJNE3WKRH2EOVL","short_pith_number":"pith:7XDMJNWY","canonical_record":{"source":{"id":"1503.04507","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-16T03:07:33Z","cross_cats_sorted":[],"title_canon_sha256":"7579e8f9a66b069b0098cd9adad03c969603b7a65272d58ed4a9c84b3cdc25c0","abstract_canon_sha256":"8a5b285d060bc929f2835b86efeafceddbcd95619e1b7fe6150ccf68a2537e59"},"schema_version":"1.0"},"canonical_sha256":"fdc6c4b6d861323425a4dd9513e88eaaef16d365bff4da0e5dc15e2fd6371632","source":{"kind":"arxiv","id":"1503.04507","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04507","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04507v3","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04507","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"7XDMJNWYMEZD","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7XDMJNWYMEZDIJNE","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7XDMJNWY","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7XDMJNWYMEZDIJNE3WKRH2EOVL","target":"record","payload":{"canonical_record":{"source":{"id":"1503.04507","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-16T03:07:33Z","cross_cats_sorted":[],"title_canon_sha256":"7579e8f9a66b069b0098cd9adad03c969603b7a65272d58ed4a9c84b3cdc25c0","abstract_canon_sha256":"8a5b285d060bc929f2835b86efeafceddbcd95619e1b7fe6150ccf68a2537e59"},"schema_version":"1.0"},"canonical_sha256":"fdc6c4b6d861323425a4dd9513e88eaaef16d365bff4da0e5dc15e2fd6371632","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:58.618068Z","signature_b64":"HOlVbBEAdoIAFcveCSwrpQ/rK0w8cgkAweZSbu1oefWIGxeVQ64eFUIxaXH6iN6EG6qFlod+3TrKEYWdv+4SAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdc6c4b6d861323425a4dd9513e88eaaef16d365bff4da0e5dc15e2fd6371632","last_reissued_at":"2026-05-18T01:12:58.617713Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:58.617713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.04507","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cA1LdEvR7uYggUMDR4xSbJT2Y0EyswY++XyYX74Z9vPyexYbOZlo4867Z1tiCwlcrxSAhjFM3Eyx7O3wWQFyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:37:12.412974Z"},"content_sha256":"b352605c74f0f10e715bf53d4e1b553ea3fd9f6d6b81ecef7affc4823f8a0205","schema_version":"1.0","event_id":"sha256:b352605c74f0f10e715bf53d4e1b553ea3fd9f6d6b81ecef7affc4823f8a0205"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7XDMJNWYMEZDIJNE3WKRH2EOVL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lifting mean-field degeneracies in anisotropic classical spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Natalia B. Perkins, Peter W\\\"olfle, Yuriy Sizyuk","submitted_at":"2015-03-16T03:07:33Z","abstract_excerpt":"In this work, we propose a method for calculating the free energy of anisotropic classical spin systems. We use a Hubbard-Stratonovich transformation to express the partition function of a generic bilinear super-exchange Hamiltonian in terms of a functional integral over classical time-independent fields. As an example, we consider an anisotropic spin-exchange Hamiltonian on the cubic lattice as is found for compounds with strongly correlated electrons in multiorbital bands and subject to strong spin-orbit interaction. We calculate the contribution of Gaussian spin fluctuations to the free ene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04507","kind":"arxiv","version":3},"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":"2026-05-18T01:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EkDn2OwW1dpAPDgrguy08Qz5J5qyi1XfPVCX+/nyA5zHz6GrJENoNjiTFvsbm0J8oWyiL6EzDeMeczJzkp3MAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:37:12.413551Z"},"content_sha256":"afc01e611eab0ad3301745bdf367e2b529587c3810c6c37f53a156a6f512897b","schema_version":"1.0","event_id":"sha256:afc01e611eab0ad3301745bdf367e2b529587c3810c6c37f53a156a6f512897b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7XDMJNWYMEZDIJNE3WKRH2EOVL/bundle.json","state_url":"https://pith.science/pith/7XDMJNWYMEZDIJNE3WKRH2EOVL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7XDMJNWYMEZDIJNE3WKRH2EOVL/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":"2026-05-25T06:37:12Z","links":{"resolver":"https://pith.science/pith/7XDMJNWYMEZDIJNE3WKRH2EOVL","bundle":"https://pith.science/pith/7XDMJNWYMEZDIJNE3WKRH2EOVL/bundle.json","state":"https://pith.science/pith/7XDMJNWYMEZDIJNE3WKRH2EOVL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7XDMJNWYMEZDIJNE3WKRH2EOVL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7XDMJNWYMEZDIJNE3WKRH2EOVL","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":"8a5b285d060bc929f2835b86efeafceddbcd95619e1b7fe6150ccf68a2537e59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-16T03:07:33Z","title_canon_sha256":"7579e8f9a66b069b0098cd9adad03c969603b7a65272d58ed4a9c84b3cdc25c0"},"schema_version":"1.0","source":{"id":"1503.04507","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04507","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04507v3","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04507","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"7XDMJNWYMEZD","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7XDMJNWYMEZDIJNE","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7XDMJNWY","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:afc01e611eab0ad3301745bdf367e2b529587c3810c6c37f53a156a6f512897b","target":"graph","created_at":"2026-05-18T01:12:58Z","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":"In this work, we propose a method for calculating the free energy of anisotropic classical spin systems. We use a Hubbard-Stratonovich transformation to express the partition function of a generic bilinear super-exchange Hamiltonian in terms of a functional integral over classical time-independent fields. As an example, we consider an anisotropic spin-exchange Hamiltonian on the cubic lattice as is found for compounds with strongly correlated electrons in multiorbital bands and subject to strong spin-orbit interaction. We calculate the contribution of Gaussian spin fluctuations to the free ene","authors_text":"Natalia B. Perkins, Peter W\\\"olfle, Yuriy Sizyuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-16T03:07:33Z","title":"Lifting mean-field degeneracies in anisotropic classical spin systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04507","kind":"arxiv","version":3},"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:b352605c74f0f10e715bf53d4e1b553ea3fd9f6d6b81ecef7affc4823f8a0205","target":"record","created_at":"2026-05-18T01:12:58Z","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":"8a5b285d060bc929f2835b86efeafceddbcd95619e1b7fe6150ccf68a2537e59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-16T03:07:33Z","title_canon_sha256":"7579e8f9a66b069b0098cd9adad03c969603b7a65272d58ed4a9c84b3cdc25c0"},"schema_version":"1.0","source":{"id":"1503.04507","kind":"arxiv","version":3}},"canonical_sha256":"fdc6c4b6d861323425a4dd9513e88eaaef16d365bff4da0e5dc15e2fd6371632","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdc6c4b6d861323425a4dd9513e88eaaef16d365bff4da0e5dc15e2fd6371632","first_computed_at":"2026-05-18T01:12:58.617713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:58.617713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HOlVbBEAdoIAFcveCSwrpQ/rK0w8cgkAweZSbu1oefWIGxeVQ64eFUIxaXH6iN6EG6qFlod+3TrKEYWdv+4SAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:58.618068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.04507","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b352605c74f0f10e715bf53d4e1b553ea3fd9f6d6b81ecef7affc4823f8a0205","sha256:afc01e611eab0ad3301745bdf367e2b529587c3810c6c37f53a156a6f512897b"],"state_sha256":"06bbaa7d5fa47d4b864b9449a088f34c5321b0245ad40aa8046bb91cd594efd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X2WtJtzlBwzJybMz59p2q97AeL+xEpl+7s85JOrgEnZFY1OFRd63IIWvT0nPXJNKjVANO4O/WhqGzkC9sp5JBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T06:37:12.416729Z","bundle_sha256":"59a079a53be46c09751d6304d94245c022c8ecedfa3b4fdff95c3a458fd142d3"}}