{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:RPUSVPKFJLY3ZB72GTKQHEDEV5","short_pith_number":"pith:RPUSVPKF","canonical_record":{"source":{"id":"1012.2964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-14T08:43:00Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"91e4bcfc1362c92f576daa16507427318a84334d19467e7b22bab0d9be11dd01","abstract_canon_sha256":"f11484bfcce7293accf62621e4df81999715fd45cf2d88d3f55e401a098f33b0"},"schema_version":"1.0"},"canonical_sha256":"8be92abd454af1bc87fa34d5039064af5507787987019f8a5be59e2d8debc13a","source":{"kind":"arxiv","id":"1012.2964","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2964","created_at":"2026-05-18T02:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2964v1","created_at":"2026-05-18T02:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2964","created_at":"2026-05-18T02:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"RPUSVPKFJLY3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RPUSVPKFJLY3ZB72","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RPUSVPKF","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:RPUSVPKFJLY3ZB72GTKQHEDEV5","target":"record","payload":{"canonical_record":{"source":{"id":"1012.2964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-14T08:43:00Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"91e4bcfc1362c92f576daa16507427318a84334d19467e7b22bab0d9be11dd01","abstract_canon_sha256":"f11484bfcce7293accf62621e4df81999715fd45cf2d88d3f55e401a098f33b0"},"schema_version":"1.0"},"canonical_sha256":"8be92abd454af1bc87fa34d5039064af5507787987019f8a5be59e2d8debc13a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:25.258814Z","signature_b64":"MOAxU92jJmTyfMPGBJaFxhAZcaNRHCVy7fkAgq40rOSX8D5Y3nhUrk/ie45PBTFd2IYYz3sSEKEB5/IZ39HCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8be92abd454af1bc87fa34d5039064af5507787987019f8a5be59e2d8debc13a","last_reissued_at":"2026-05-18T02:04:25.258135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:25.258135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.2964","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":"2026-05-18T02:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7jmzeUuk1QQ9/qiLrAgLr06sJaVeZBbm+OZ1eva91TmptSLbqhPuJnB3wUrizyHf9ms3V6BENPJbs7YjmGTmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:50:14.519750Z"},"content_sha256":"514c84a63c7b8c886414686b8c2b3ff9320cd95f6aff8b5aebb0cc7efefb1d3b","schema_version":"1.0","event_id":"sha256:514c84a63c7b8c886414686b8c2b3ff9320cd95f6aff8b5aebb0cc7efefb1d3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:RPUSVPKFJLY3ZB72GTKQHEDEV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theorems on ground-state phase transitions in Kohn-Sham models given by the Coulomb density functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.stat-mech","authors_text":"Isao Maruyama, Koichi Kusakabe","submitted_at":"2010-12-14T08:43:00Z","abstract_excerpt":"Some theorems on derivatives of the Coulomb density functional with respect to the coupling constant $\\lambda$ are given. Consider an electron density $n_{GS}({\\bf r})$ given by a ground state. A model Fermion system with the reduced coupling constant, $\\lambda<1$, is defined to reproduce $n_{GS}({\\bf r})$ and the ground state energy. Fixing the charge density, possible phase transitions as level crossings detected in a value of the reduced density functional happen only at discrete points along the $\\lambda$ axis. If the density is $v$-representable also for $\\lambda<1$, accumulation of phase"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2964","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":"2026-05-18T02:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eBN4d1lzFZ5wo7Y9TC4hm9DrWT2VHENmW8spqvc/8aw3Jr/i91ugv4af8w31/OUZbWPZG45Bju7SuystxVo2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:50:14.520097Z"},"content_sha256":"b20988cc3acba5291c16b038022283d82936bc373fbc660fedd1d255e6a3bd5c","schema_version":"1.0","event_id":"sha256:b20988cc3acba5291c16b038022283d82936bc373fbc660fedd1d255e6a3bd5c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RPUSVPKFJLY3ZB72GTKQHEDEV5/bundle.json","state_url":"https://pith.science/pith/RPUSVPKFJLY3ZB72GTKQHEDEV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RPUSVPKFJLY3ZB72GTKQHEDEV5/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":"2026-07-04T22:50:14Z","links":{"resolver":"https://pith.science/pith/RPUSVPKFJLY3ZB72GTKQHEDEV5","bundle":"https://pith.science/pith/RPUSVPKFJLY3ZB72GTKQHEDEV5/bundle.json","state":"https://pith.science/pith/RPUSVPKFJLY3ZB72GTKQHEDEV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RPUSVPKFJLY3ZB72GTKQHEDEV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RPUSVPKFJLY3ZB72GTKQHEDEV5","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":"f11484bfcce7293accf62621e4df81999715fd45cf2d88d3f55e401a098f33b0","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-14T08:43:00Z","title_canon_sha256":"91e4bcfc1362c92f576daa16507427318a84334d19467e7b22bab0d9be11dd01"},"schema_version":"1.0","source":{"id":"1012.2964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2964","created_at":"2026-05-18T02:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2964v1","created_at":"2026-05-18T02:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2964","created_at":"2026-05-18T02:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"RPUSVPKFJLY3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RPUSVPKFJLY3ZB72","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RPUSVPKF","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:b20988cc3acba5291c16b038022283d82936bc373fbc660fedd1d255e6a3bd5c","target":"graph","created_at":"2026-05-18T02:04:25Z","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":"Some theorems on derivatives of the Coulomb density functional with respect to the coupling constant $\\lambda$ are given. Consider an electron density $n_{GS}({\\bf r})$ given by a ground state. A model Fermion system with the reduced coupling constant, $\\lambda<1$, is defined to reproduce $n_{GS}({\\bf r})$ and the ground state energy. Fixing the charge density, possible phase transitions as level crossings detected in a value of the reduced density functional happen only at discrete points along the $\\lambda$ axis. If the density is $v$-representable also for $\\lambda<1$, accumulation of phase","authors_text":"Isao Maruyama, Koichi Kusakabe","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-14T08:43:00Z","title":"Theorems on ground-state phase transitions in Kohn-Sham models given by the Coulomb density functional"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2964","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":"sha256:514c84a63c7b8c886414686b8c2b3ff9320cd95f6aff8b5aebb0cc7efefb1d3b","target":"record","created_at":"2026-05-18T02:04:25Z","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":"f11484bfcce7293accf62621e4df81999715fd45cf2d88d3f55e401a098f33b0","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-14T08:43:00Z","title_canon_sha256":"91e4bcfc1362c92f576daa16507427318a84334d19467e7b22bab0d9be11dd01"},"schema_version":"1.0","source":{"id":"1012.2964","kind":"arxiv","version":1}},"canonical_sha256":"8be92abd454af1bc87fa34d5039064af5507787987019f8a5be59e2d8debc13a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8be92abd454af1bc87fa34d5039064af5507787987019f8a5be59e2d8debc13a","first_computed_at":"2026-05-18T02:04:25.258135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:25.258135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MOAxU92jJmTyfMPGBJaFxhAZcaNRHCVy7fkAgq40rOSX8D5Y3nhUrk/ie45PBTFd2IYYz3sSEKEB5/IZ39HCDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:25.258814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:514c84a63c7b8c886414686b8c2b3ff9320cd95f6aff8b5aebb0cc7efefb1d3b","sha256:b20988cc3acba5291c16b038022283d82936bc373fbc660fedd1d255e6a3bd5c"],"state_sha256":"8a7ee76f627032ebe18f0a507850b05a962d5855ed5d980d917d8845eecd4a8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XUY7wcsUIwjEBE3t0mSfDXKsJiaDgX8TsIwuKioaLeiMbPBWerazsEYT8tEJasH4MMBhrBflAhYEVfKj+BGcDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T22:50:14.522010Z","bundle_sha256":"0a728904db35477e1093be5a77721f598378589ffbae7a0efcbf0747ad27b377"}}