{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:3BJOXTTLZWSJKIME7VPI5XLSY3","short_pith_number":"pith:3BJOXTTL","canonical_record":{"source":{"id":"2606.31482","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-06-30T10:58:05Z","cross_cats_sorted":[],"title_canon_sha256":"d39a93ae57ab13fff0fdde24994d980ea950c3d7e6da17cab67dab5cad431745","abstract_canon_sha256":"e637067fc53c678995c117a8cdd6be4f8893a08c6f0c64c0e402dc0df5dfe66d"},"schema_version":"1.0"},"canonical_sha256":"d852ebce6bcda4952184fd5e8edd72c6ce85a3fbb269470787f07acc867a7fbc","source":{"kind":"arxiv","id":"2606.31482","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31482","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31482v1","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31482","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"3BJOXTTLZWSJ","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"pith_short_16","alias_value":"3BJOXTTLZWSJKIME","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"pith_short_8","alias_value":"3BJOXTTL","created_at":"2026-07-01T01:18:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:3BJOXTTLZWSJKIME7VPI5XLSY3","target":"record","payload":{"canonical_record":{"source":{"id":"2606.31482","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-06-30T10:58:05Z","cross_cats_sorted":[],"title_canon_sha256":"d39a93ae57ab13fff0fdde24994d980ea950c3d7e6da17cab67dab5cad431745","abstract_canon_sha256":"e637067fc53c678995c117a8cdd6be4f8893a08c6f0c64c0e402dc0df5dfe66d"},"schema_version":"1.0"},"canonical_sha256":"d852ebce6bcda4952184fd5e8edd72c6ce85a3fbb269470787f07acc867a7fbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T01:18:04.610709Z","signature_b64":"46uPHLWz/qHGQXFRcFqJd5cHTl0z1GyDW0FQK107SD1uUEe5vIp+vmCH4tsSgXNMERSvOkri3FvLZildmVCLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d852ebce6bcda4952184fd5e8edd72c6ce85a3fbb269470787f07acc867a7fbc","last_reissued_at":"2026-07-01T01:18:04.610278Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T01:18:04.610278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.31482","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":"2026-07-01T01:18:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UqiFsmSDiQWvlnoQy0CctMPn2x1D2kOCLU89atdC+UCSDao2XM9btO7gpCesTp9bFuL4I79brUcS44ehCCn/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T22:35:36.810842Z"},"content_sha256":"7899e14b3b2adb3d85a97d0fd0b2f05905f712d659f8e3d48e48cd56f090ec87","schema_version":"1.0","event_id":"sha256:7899e14b3b2adb3d85a97d0fd0b2f05905f712d659f8e3d48e48cd56f090ec87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:3BJOXTTLZWSJKIME7VPI5XLSY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A unified formalism for collinear and non-collinear approaches in the four-component Dirac-Kohn-Sham theory based on G-spinors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Giulia Gamboni, Leonardo Belpassi, Loriano Storchi, Paola Belanzoni","submitted_at":"2026-06-30T10:58:05Z","abstract_excerpt":"Non-collinear density functional theories were developed to extend the use of established collinear exchange-correlation functionals to systems with unpaired electrons in the presence of significant spin-orbit coupling. A comparison of different approaches and implementations is not straightforward, as the methods are often formulated using different fundamental variables and numerical approximations. A consistent review of the formal and numerical aspects of collinear and non-collinear schemes has recently been reported (Desmarais et al., J. Chem. Phys. 154, 204110 (2021)) in the context of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31482","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.31482/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-01T01:18:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0RuGXQ3WR3AJtobVTZ+E3E9nsUn+wbNixb1LDGeHBd4Ag4EkKbxYWXl7BfeqH1OEB9ry6SfcHN+DW7f188L2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T22:35:36.811221Z"},"content_sha256":"592237fa7fb14f8846b771a0a9e2e93dedac1501847c67a2206d7d2bc6e4458a","schema_version":"1.0","event_id":"sha256:592237fa7fb14f8846b771a0a9e2e93dedac1501847c67a2206d7d2bc6e4458a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3BJOXTTLZWSJKIME7VPI5XLSY3/bundle.json","state_url":"https://pith.science/pith/3BJOXTTLZWSJKIME7VPI5XLSY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3BJOXTTLZWSJKIME7VPI5XLSY3/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":"2026-07-01T22:35:36Z","links":{"resolver":"https://pith.science/pith/3BJOXTTLZWSJKIME7VPI5XLSY3","bundle":"https://pith.science/pith/3BJOXTTLZWSJKIME7VPI5XLSY3/bundle.json","state":"https://pith.science/pith/3BJOXTTLZWSJKIME7VPI5XLSY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3BJOXTTLZWSJKIME7VPI5XLSY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3BJOXTTLZWSJKIME7VPI5XLSY3","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":"e637067fc53c678995c117a8cdd6be4f8893a08c6f0c64c0e402dc0df5dfe66d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-06-30T10:58:05Z","title_canon_sha256":"d39a93ae57ab13fff0fdde24994d980ea950c3d7e6da17cab67dab5cad431745"},"schema_version":"1.0","source":{"id":"2606.31482","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31482","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31482v1","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31482","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"3BJOXTTLZWSJ","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"pith_short_16","alias_value":"3BJOXTTLZWSJKIME","created_at":"2026-07-01T01:18:04Z"},{"alias_kind":"pith_short_8","alias_value":"3BJOXTTL","created_at":"2026-07-01T01:18:04Z"}],"graph_snapshots":[{"event_id":"sha256:592237fa7fb14f8846b771a0a9e2e93dedac1501847c67a2206d7d2bc6e4458a","target":"graph","created_at":"2026-07-01T01:18:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.31482/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-collinear density functional theories were developed to extend the use of established collinear exchange-correlation functionals to systems with unpaired electrons in the presence of significant spin-orbit coupling. A comparison of different approaches and implementations is not straightforward, as the methods are often formulated using different fundamental variables and numerical approximations. A consistent review of the formal and numerical aspects of collinear and non-collinear schemes has recently been reported (Desmarais et al., J. Chem. Phys. 154, 204110 (2021)) in the context of t","authors_text":"Giulia Gamboni, Leonardo Belpassi, Loriano Storchi, Paola Belanzoni","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-06-30T10:58:05Z","title":"A unified formalism for collinear and non-collinear approaches in the four-component Dirac-Kohn-Sham theory based on G-spinors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31482","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":"sha256:7899e14b3b2adb3d85a97d0fd0b2f05905f712d659f8e3d48e48cd56f090ec87","target":"record","created_at":"2026-07-01T01:18:04Z","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":"e637067fc53c678995c117a8cdd6be4f8893a08c6f0c64c0e402dc0df5dfe66d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-06-30T10:58:05Z","title_canon_sha256":"d39a93ae57ab13fff0fdde24994d980ea950c3d7e6da17cab67dab5cad431745"},"schema_version":"1.0","source":{"id":"2606.31482","kind":"arxiv","version":1}},"canonical_sha256":"d852ebce6bcda4952184fd5e8edd72c6ce85a3fbb269470787f07acc867a7fbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d852ebce6bcda4952184fd5e8edd72c6ce85a3fbb269470787f07acc867a7fbc","first_computed_at":"2026-07-01T01:18:04.610278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:18:04.610278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"46uPHLWz/qHGQXFRcFqJd5cHTl0z1GyDW0FQK107SD1uUEe5vIp+vmCH4tsSgXNMERSvOkri3FvLZildmVCLCw==","signature_status":"signed_v1","signed_at":"2026-07-01T01:18:04.610709Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31482","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7899e14b3b2adb3d85a97d0fd0b2f05905f712d659f8e3d48e48cd56f090ec87","sha256:592237fa7fb14f8846b771a0a9e2e93dedac1501847c67a2206d7d2bc6e4458a"],"state_sha256":"3e18aad1a1ac8d3870e00f63a270459474b187b9236ac2b4dff483d8636f3005"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EizC5p/Sv7dk0K6BLNoRDlIyuokBnVvokwyGdashZsaMYjyKJUjx1dkTRhptYsZcXPWJ/8Av0mq97VE6CpNGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T22:35:36.813239Z","bundle_sha256":"91e6e0c2e328b1049d3a9460665ea06b5f6d61cfb5ce0e7de9889396e237e854"}}