{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WJWWVAOH7B3PKIOWZXURLZCTA2","short_pith_number":"pith:WJWWVAOH","canonical_record":{"source":{"id":"2506.01292","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-06-02T03:56:47Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"f8b146ee8d30a2c7ae835953212f6baad13be30c63c4a41c37f50da81c46594b","abstract_canon_sha256":"9a9936998b19e5b667a54b5e38c52c96fc0fcd23536a97faa1d694c71b78c935"},"schema_version":"1.0"},"canonical_sha256":"b26d6a81c7f876f521d6cde915e45306a0d0a9e5a37183723c459b31a155545a","source":{"kind":"arxiv","id":"2506.01292","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01292","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01292v2","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01292","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"WJWWVAOH7B3P","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"pith_short_16","alias_value":"WJWWVAOH7B3PKIOW","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"pith_short_8","alias_value":"WJWWVAOH","created_at":"2026-07-05T11:53:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WJWWVAOH7B3PKIOWZXURLZCTA2","target":"record","payload":{"canonical_record":{"source":{"id":"2506.01292","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-06-02T03:56:47Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"f8b146ee8d30a2c7ae835953212f6baad13be30c63c4a41c37f50da81c46594b","abstract_canon_sha256":"9a9936998b19e5b667a54b5e38c52c96fc0fcd23536a97faa1d694c71b78c935"},"schema_version":"1.0"},"canonical_sha256":"b26d6a81c7f876f521d6cde915e45306a0d0a9e5a37183723c459b31a155545a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:53:03.975838Z","signature_b64":"ELhToTqEiWhouNbrt0J+vITTiu4Xm2xTvwmpQWQQFUBAL62XmQly2nnVMNaQGFVUTfx44dthqjZdOH6L2sUHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b26d6a81c7f876f521d6cde915e45306a0d0a9e5a37183723c459b31a155545a","last_reissued_at":"2026-07-05T11:53:03.975351Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:53:03.975351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.01292","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJnh6SVGhlHP2C/OGfDu6UXUU90b3wJnbBJt2QigSa7oag/z+GOMTghw/piaF4flX9Q5wq+byeRzoxhpFMYhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:02:12.193917Z"},"content_sha256":"8ed7d1567fd8058fde053ba1ceca4865d26257844ee6c032337c294ec33b5ad3","schema_version":"1.0","event_id":"sha256:8ed7d1567fd8058fde053ba1ceca4865d26257844ee6c032337c294ec33b5ad3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WJWWVAOH7B3PKIOWZXURLZCTA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time inversion symmetry in the Dirac and Schr\\\"odinger-Pauli theories","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"R. Winkler, U. Z\\\"ulicke","submitted_at":"2025-06-02T03:56:47Z","abstract_excerpt":"The Schr\\\"odinger-Pauli theory is generally believed to give a faithful representation of the nonrelativistic and weakly relativistic limit of the Dirac theory. However, the Schr\\\"odinger-Pauli theory is fundamentally incomplete in its account of broken time inversion symmetry, e.g., in magnetically ordered systems. In the Dirac theory of the electron, magnetic order breaks time inversion symmetry even in the nonrelativistic limit, whereas time inversion symmetry is effectively preserved in the Schr\\\"odinger-Pauli theory in the absence of spin-orbit coupling. In the Dirac theory, the Berry cur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01292","kind":"arxiv","version":2},"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/2506.01292/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":"2026-07-05T11:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QwU03hK2GrUxZRyku5f822cBhKonFte900iKux56p6LYQ1S5XPEczDyrLHjeMyUMSpbTgCcdSIjm/eN66gz1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:02:12.194806Z"},"content_sha256":"d16fd46e5ecb2996589119f28ecd0a4cf2a5f78d7be55326bb09cc74877fe4a5","schema_version":"1.0","event_id":"sha256:d16fd46e5ecb2996589119f28ecd0a4cf2a5f78d7be55326bb09cc74877fe4a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WJWWVAOH7B3PKIOWZXURLZCTA2/bundle.json","state_url":"https://pith.science/pith/WJWWVAOH7B3PKIOWZXURLZCTA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WJWWVAOH7B3PKIOWZXURLZCTA2/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":"2026-08-05T17:02:12Z","links":{"resolver":"https://pith.science/pith/WJWWVAOH7B3PKIOWZXURLZCTA2","bundle":"https://pith.science/pith/WJWWVAOH7B3PKIOWZXURLZCTA2/bundle.json","state":"https://pith.science/pith/WJWWVAOH7B3PKIOWZXURLZCTA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WJWWVAOH7B3PKIOWZXURLZCTA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WJWWVAOH7B3PKIOWZXURLZCTA2","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":"9a9936998b19e5b667a54b5e38c52c96fc0fcd23536a97faa1d694c71b78c935","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-06-02T03:56:47Z","title_canon_sha256":"f8b146ee8d30a2c7ae835953212f6baad13be30c63c4a41c37f50da81c46594b"},"schema_version":"1.0","source":{"id":"2506.01292","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01292","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01292v2","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01292","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"WJWWVAOH7B3P","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"pith_short_16","alias_value":"WJWWVAOH7B3PKIOW","created_at":"2026-07-05T11:53:03Z"},{"alias_kind":"pith_short_8","alias_value":"WJWWVAOH","created_at":"2026-07-05T11:53:03Z"}],"graph_snapshots":[{"event_id":"sha256:d16fd46e5ecb2996589119f28ecd0a4cf2a5f78d7be55326bb09cc74877fe4a5","target":"graph","created_at":"2026-07-05T11:53:03Z","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/2506.01292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Schr\\\"odinger-Pauli theory is generally believed to give a faithful representation of the nonrelativistic and weakly relativistic limit of the Dirac theory. However, the Schr\\\"odinger-Pauli theory is fundamentally incomplete in its account of broken time inversion symmetry, e.g., in magnetically ordered systems. In the Dirac theory of the electron, magnetic order breaks time inversion symmetry even in the nonrelativistic limit, whereas time inversion symmetry is effectively preserved in the Schr\\\"odinger-Pauli theory in the absence of spin-orbit coupling. In the Dirac theory, the Berry cur","authors_text":"R. Winkler, U. Z\\\"ulicke","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-06-02T03:56:47Z","title":"Time inversion symmetry in the Dirac and Schr\\\"odinger-Pauli theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01292","kind":"arxiv","version":2},"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":"sha256:8ed7d1567fd8058fde053ba1ceca4865d26257844ee6c032337c294ec33b5ad3","target":"record","created_at":"2026-07-05T11:53:03Z","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":"9a9936998b19e5b667a54b5e38c52c96fc0fcd23536a97faa1d694c71b78c935","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-06-02T03:56:47Z","title_canon_sha256":"f8b146ee8d30a2c7ae835953212f6baad13be30c63c4a41c37f50da81c46594b"},"schema_version":"1.0","source":{"id":"2506.01292","kind":"arxiv","version":2}},"canonical_sha256":"b26d6a81c7f876f521d6cde915e45306a0d0a9e5a37183723c459b31a155545a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b26d6a81c7f876f521d6cde915e45306a0d0a9e5a37183723c459b31a155545a","first_computed_at":"2026-07-05T11:53:03.975351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:53:03.975351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ELhToTqEiWhouNbrt0J+vITTiu4Xm2xTvwmpQWQQFUBAL62XmQly2nnVMNaQGFVUTfx44dthqjZdOH6L2sUHAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:53:03.975838Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.01292","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ed7d1567fd8058fde053ba1ceca4865d26257844ee6c032337c294ec33b5ad3","sha256:d16fd46e5ecb2996589119f28ecd0a4cf2a5f78d7be55326bb09cc74877fe4a5"],"state_sha256":"8f888ef4bc0e59e5472fad0789717d42d6e9f88b724b67204bd5a56711df09eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+7XNO2k3odiRpLVNyPZ3tUz2HY7dXOhBWA4YgSIsI/Mhc8BKaNFQwurS2BNIJvh0WPGigTEpvo7Nf3OavzxDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T17:02:12.199780Z","bundle_sha256":"02173a5ebc657d3801a99c84e8efebc3f61b2da2ab63d3ae611c26fcff32bc2f"}}