{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DFEDV2OUJ74SV2WSJMV4ZEGDMP","short_pith_number":"pith:DFEDV2OU","canonical_record":{"source":{"id":"1208.4705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-08-23T09:46:27Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"cc58f1e9c5f805302d6781665017844ea667e27133d461071466646053214b43","abstract_canon_sha256":"afcc1de7b1d10d8ac2166c2a00d554da3b9cbca25501a95338d928add64e0149"},"schema_version":"1.0"},"canonical_sha256":"19483ae9d44ff92aead24b2bcc90c363cc7633f9f920eb18c56b228feef3253c","source":{"kind":"arxiv","id":"1208.4705","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4705","created_at":"2026-05-18T02:21:00Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4705v1","created_at":"2026-05-18T02:21:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4705","created_at":"2026-05-18T02:21:00Z"},{"alias_kind":"pith_short_12","alias_value":"DFEDV2OUJ74S","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DFEDV2OUJ74SV2WS","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DFEDV2OU","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DFEDV2OUJ74SV2WSJMV4ZEGDMP","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-08-23T09:46:27Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"cc58f1e9c5f805302d6781665017844ea667e27133d461071466646053214b43","abstract_canon_sha256":"afcc1de7b1d10d8ac2166c2a00d554da3b9cbca25501a95338d928add64e0149"},"schema_version":"1.0"},"canonical_sha256":"19483ae9d44ff92aead24b2bcc90c363cc7633f9f920eb18c56b228feef3253c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:00.569113Z","signature_b64":"XAEXNRTKJMt0BYRny1FGSFZchc9gbnYoIeWhU7tbhgdmzv1/5uwwTv92hqm9K1+FsGSk1/NNZGi9hjRXJ8I7DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19483ae9d44ff92aead24b2bcc90c363cc7633f9f920eb18c56b228feef3253c","last_reissued_at":"2026-05-18T02:21:00.568576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:00.568576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4705","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":"2026-05-18T02:21:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+C8WOXw9HP3LeR9ZTNODw0leo4pHxHvJyJNjIv6bNdlQzA/Alb93qsVSLh2w6iB8T1bP/mAHJiT06msTGR+KAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:54:40.139934Z"},"content_sha256":"d7ec788ea89cf170fa67f92026f8ff9cc7d82c9eeb868653d3c3d04c96e7df4b","schema_version":"1.0","event_id":"sha256:d7ec788ea89cf170fa67f92026f8ff9cc7d82c9eeb868653d3c3d04c96e7df4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DFEDV2OUJ74SV2WSJMV4ZEGDMP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reduced density matrix functional theory at finite temperature. II. Application to the electron gas: Exchange only","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.str-el","authors_text":"2), (2) Max-Planck-Institut f\\\"ur Mikrostrukturphysik, Berlin, E. K. U. Gross (2) ((1) Institut f\\\"ur Theoretische Physik, F. G. Eich (1, Freie Universit\\\"at, Germany, Germany), Halle (Saale), Tim Baldsiefen (1","submitted_at":"2012-08-23T09:46:27Z","abstract_excerpt":"Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken states describing planar spin spirals and investigate the magnetic phase diagram as well as the temperature-dependence of the single particle spectra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4705","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":"2026-05-18T02:21:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WjsQzhkp8vSPvES+88MQ/uCIv4EVNpAO7Am6KxoX3T3L1Dw12DeYdcxXbTdasB8HB/e0Hc2QhIAhlUhYHm5PCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:54:40.140603Z"},"content_sha256":"7d4a233dbcee17519f0f1f93925d6866ab4cd3294b8c76e68d7c04e7f6771e4c","schema_version":"1.0","event_id":"sha256:7d4a233dbcee17519f0f1f93925d6866ab4cd3294b8c76e68d7c04e7f6771e4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DFEDV2OUJ74SV2WSJMV4ZEGDMP/bundle.json","state_url":"https://pith.science/pith/DFEDV2OUJ74SV2WSJMV4ZEGDMP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DFEDV2OUJ74SV2WSJMV4ZEGDMP/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":"2026-05-28T21:54:40Z","links":{"resolver":"https://pith.science/pith/DFEDV2OUJ74SV2WSJMV4ZEGDMP","bundle":"https://pith.science/pith/DFEDV2OUJ74SV2WSJMV4ZEGDMP/bundle.json","state":"https://pith.science/pith/DFEDV2OUJ74SV2WSJMV4ZEGDMP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DFEDV2OUJ74SV2WSJMV4ZEGDMP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DFEDV2OUJ74SV2WSJMV4ZEGDMP","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":"afcc1de7b1d10d8ac2166c2a00d554da3b9cbca25501a95338d928add64e0149","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-08-23T09:46:27Z","title_canon_sha256":"cc58f1e9c5f805302d6781665017844ea667e27133d461071466646053214b43"},"schema_version":"1.0","source":{"id":"1208.4705","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4705","created_at":"2026-05-18T02:21:00Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4705v1","created_at":"2026-05-18T02:21:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4705","created_at":"2026-05-18T02:21:00Z"},{"alias_kind":"pith_short_12","alias_value":"DFEDV2OUJ74S","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DFEDV2OUJ74SV2WS","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DFEDV2OU","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:7d4a233dbcee17519f0f1f93925d6866ab4cd3294b8c76e68d7c04e7f6771e4c","target":"graph","created_at":"2026-05-18T02:21:00Z","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":"Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken states describing planar spin spirals and investigate the magnetic phase diagram as well as the temperature-dependence of the single particle spectra.","authors_text":"2), (2) Max-Planck-Institut f\\\"ur Mikrostrukturphysik, Berlin, E. K. U. Gross (2) ((1) Institut f\\\"ur Theoretische Physik, F. G. Eich (1, Freie Universit\\\"at, Germany, Germany), Halle (Saale), Tim Baldsiefen (1","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-08-23T09:46:27Z","title":"Reduced density matrix functional theory at finite temperature. II. Application to the electron gas: Exchange only"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4705","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:d7ec788ea89cf170fa67f92026f8ff9cc7d82c9eeb868653d3c3d04c96e7df4b","target":"record","created_at":"2026-05-18T02:21:00Z","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":"afcc1de7b1d10d8ac2166c2a00d554da3b9cbca25501a95338d928add64e0149","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-08-23T09:46:27Z","title_canon_sha256":"cc58f1e9c5f805302d6781665017844ea667e27133d461071466646053214b43"},"schema_version":"1.0","source":{"id":"1208.4705","kind":"arxiv","version":1}},"canonical_sha256":"19483ae9d44ff92aead24b2bcc90c363cc7633f9f920eb18c56b228feef3253c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19483ae9d44ff92aead24b2bcc90c363cc7633f9f920eb18c56b228feef3253c","first_computed_at":"2026-05-18T02:21:00.568576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:00.568576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XAEXNRTKJMt0BYRny1FGSFZchc9gbnYoIeWhU7tbhgdmzv1/5uwwTv92hqm9K1+FsGSk1/NNZGi9hjRXJ8I7DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:00.569113Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4705","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7ec788ea89cf170fa67f92026f8ff9cc7d82c9eeb868653d3c3d04c96e7df4b","sha256:7d4a233dbcee17519f0f1f93925d6866ab4cd3294b8c76e68d7c04e7f6771e4c"],"state_sha256":"5cb2818845f219de11304aac12e0b0e3b0655d19ca09f4f2df84bccb206a98f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sfbK39fSm5I3kl4LX9foe1+k7nMmztIUORTjP74FHIUwaNU7PPSPGba8sy6ImRnk3BUZeh9ICREXZSpuVYhFBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:54:40.145120Z","bundle_sha256":"a44b34c92fc18d5ec9528d7a521e4f5311f1284f738ca1557982ce779552fb97"}}