{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XWSL3OEUB67C5OX37NKRBG6UPA","short_pith_number":"pith:XWSL3OEU","canonical_record":{"source":{"id":"1609.06837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-09-22T06:58:16Z","cross_cats_sorted":[],"title_canon_sha256":"34cbb2411b65f439a00814419fca3c595fe905ab2b9f1a6f4b6825389c84f884","abstract_canon_sha256":"9b61cbe918c79b68a0b4d79a3254f99df5d9fcde6cef83287659d2e56f7308df"},"schema_version":"1.0"},"canonical_sha256":"bda4bdb8940fbe2ebafbfb55109bd4780019633c010797c200e9dac7796bc900","source":{"kind":"arxiv","id":"1609.06837","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06837","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06837v1","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06837","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"XWSL3OEUB67C","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XWSL3OEUB67C5OX3","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XWSL3OEU","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XWSL3OEUB67C5OX37NKRBG6UPA","target":"record","payload":{"canonical_record":{"source":{"id":"1609.06837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-09-22T06:58:16Z","cross_cats_sorted":[],"title_canon_sha256":"34cbb2411b65f439a00814419fca3c595fe905ab2b9f1a6f4b6825389c84f884","abstract_canon_sha256":"9b61cbe918c79b68a0b4d79a3254f99df5d9fcde6cef83287659d2e56f7308df"},"schema_version":"1.0"},"canonical_sha256":"bda4bdb8940fbe2ebafbfb55109bd4780019633c010797c200e9dac7796bc900","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:05.008927Z","signature_b64":"2w2f6gfn2S5xhTcLBbJZK+3FiJx4TK5vqIvEj6mh4sjAXFkL4SbMLYKGVmai5f+1rcq07sLWy7CImPFNdlMFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bda4bdb8940fbe2ebafbfb55109bd4780019633c010797c200e9dac7796bc900","last_reissued_at":"2026-05-18T01:04:05.008418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:05.008418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.06837","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":"2026-05-18T01:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jIiZIG5fvDm0GxGkSo6n1sgG4iOO6mfCAOk38sQPqRvBeySxU1UM/KtVD1ncdfhaqrXrk4QSZyRUWLUPE4BBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:16:03.723404Z"},"content_sha256":"b3d04ff2c7c2c5b3698f398ebcf6481451f455c296139e0847ec1378f207f147","schema_version":"1.0","event_id":"sha256:b3d04ff2c7c2c5b3698f398ebcf6481451f455c296139e0847ec1378f207f147"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XWSL3OEUB67C5OX37NKRBG6UPA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-temperature expansion for frustrated magnets: Application to the J1-J2 model on the BCC lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andre Lohmann, Heinz-J\\\"urgen Schmidt, Johannes Richter, Patrick M\\\"uller","submitted_at":"2016-09-22T06:58:16Z","abstract_excerpt":"We present the high-temperature expansion up to 11th order for the specific heat $C$ and the uniform susceptibility $\\chi_0$ and up to 9th order for the structure factor $S_{\\bf Q}$ of the frustrated spin-half $J_1$-$J_2$ Heisenberg model on the BCC lattice. We consider ferromagnetic as well as antiferromagnetic nearest-neighbor exchange $J_1$ and frustrating antiferromagnetic next-nearest-neighbor exchange $J_2$. We discuss the influence of frustration on the temperature dependence of these quantities. Furthermore, we use the HTE series to determine the critical temperature $T_c$ as a functio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06837","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":"2026-05-18T01:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tQ/ighzyPtfWp/E7Vos8O5fmMPbpNKU88bcXwFf/AxB5wu+69Vqh7SBSTXZ9JO1mjDMm0RPrVyCXVXLcjFeBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:16:03.724059Z"},"content_sha256":"ce8455b746ee169fe3986c6c6e069903483469e091fe123e4228d53e72d3ca55","schema_version":"1.0","event_id":"sha256:ce8455b746ee169fe3986c6c6e069903483469e091fe123e4228d53e72d3ca55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XWSL3OEUB67C5OX37NKRBG6UPA/bundle.json","state_url":"https://pith.science/pith/XWSL3OEUB67C5OX37NKRBG6UPA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XWSL3OEUB67C5OX37NKRBG6UPA/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":"2026-05-26T23:16:03Z","links":{"resolver":"https://pith.science/pith/XWSL3OEUB67C5OX37NKRBG6UPA","bundle":"https://pith.science/pith/XWSL3OEUB67C5OX37NKRBG6UPA/bundle.json","state":"https://pith.science/pith/XWSL3OEUB67C5OX37NKRBG6UPA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XWSL3OEUB67C5OX37NKRBG6UPA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XWSL3OEUB67C5OX37NKRBG6UPA","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":"9b61cbe918c79b68a0b4d79a3254f99df5d9fcde6cef83287659d2e56f7308df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-09-22T06:58:16Z","title_canon_sha256":"34cbb2411b65f439a00814419fca3c595fe905ab2b9f1a6f4b6825389c84f884"},"schema_version":"1.0","source":{"id":"1609.06837","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06837","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06837v1","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06837","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"XWSL3OEUB67C","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XWSL3OEUB67C5OX3","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XWSL3OEU","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:ce8455b746ee169fe3986c6c6e069903483469e091fe123e4228d53e72d3ca55","target":"graph","created_at":"2026-05-18T01:04:05Z","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 present the high-temperature expansion up to 11th order for the specific heat $C$ and the uniform susceptibility $\\chi_0$ and up to 9th order for the structure factor $S_{\\bf Q}$ of the frustrated spin-half $J_1$-$J_2$ Heisenberg model on the BCC lattice. We consider ferromagnetic as well as antiferromagnetic nearest-neighbor exchange $J_1$ and frustrating antiferromagnetic next-nearest-neighbor exchange $J_2$. We discuss the influence of frustration on the temperature dependence of these quantities. Furthermore, we use the HTE series to determine the critical temperature $T_c$ as a functio","authors_text":"Andre Lohmann, Heinz-J\\\"urgen Schmidt, Johannes Richter, Patrick M\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-09-22T06:58:16Z","title":"High-temperature expansion for frustrated magnets: Application to the J1-J2 model on the BCC lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06837","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:b3d04ff2c7c2c5b3698f398ebcf6481451f455c296139e0847ec1378f207f147","target":"record","created_at":"2026-05-18T01:04:05Z","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":"9b61cbe918c79b68a0b4d79a3254f99df5d9fcde6cef83287659d2e56f7308df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-09-22T06:58:16Z","title_canon_sha256":"34cbb2411b65f439a00814419fca3c595fe905ab2b9f1a6f4b6825389c84f884"},"schema_version":"1.0","source":{"id":"1609.06837","kind":"arxiv","version":1}},"canonical_sha256":"bda4bdb8940fbe2ebafbfb55109bd4780019633c010797c200e9dac7796bc900","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bda4bdb8940fbe2ebafbfb55109bd4780019633c010797c200e9dac7796bc900","first_computed_at":"2026-05-18T01:04:05.008418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:05.008418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2w2f6gfn2S5xhTcLBbJZK+3FiJx4TK5vqIvEj6mh4sjAXFkL4SbMLYKGVmai5f+1rcq07sLWy7CImPFNdlMFBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:05.008927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.06837","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3d04ff2c7c2c5b3698f398ebcf6481451f455c296139e0847ec1378f207f147","sha256:ce8455b746ee169fe3986c6c6e069903483469e091fe123e4228d53e72d3ca55"],"state_sha256":"f447c648440e256aab8ac893c6b8e6290d8bab6013f904d626b7420acae9def8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"apaIefjF468tY4fdtwOj7Us3lszUBHjF9LUfgKDBVHPb+88tbJiUFpF6198zmujWNHJGuY4QJtjKTVI1Mhc0Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:16:03.727837Z","bundle_sha256":"a40e638780098c3f8a585ab495465a0eecf57e89f9b4d53fd5f3447b10a3ab94"}}