{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VSBHRABXS74DU3EWPTH7ZX6TJT","short_pith_number":"pith:VSBHRABX","canonical_record":{"source":{"id":"1504.04451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-04-17T06:41:13Z","cross_cats_sorted":[],"title_canon_sha256":"df82d440690407956775c3423c74b1a74a09acf85c8b2bc3aa83c9f319a8cba9","abstract_canon_sha256":"75f4c060809c43063096181682e9761f7ae9e7b8f836d4757f57a1d80a5f6253"},"schema_version":"1.0"},"canonical_sha256":"ac8278803797f83a6c967ccffcdfd34ceef2a1d13007b4d5b9a6a4ca04970188","source":{"kind":"arxiv","id":"1504.04451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04451","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04451v1","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04451","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"pith_short_12","alias_value":"VSBHRABXS74D","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VSBHRABXS74DU3EW","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VSBHRABX","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VSBHRABXS74DU3EWPTH7ZX6TJT","target":"record","payload":{"canonical_record":{"source":{"id":"1504.04451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-04-17T06:41:13Z","cross_cats_sorted":[],"title_canon_sha256":"df82d440690407956775c3423c74b1a74a09acf85c8b2bc3aa83c9f319a8cba9","abstract_canon_sha256":"75f4c060809c43063096181682e9761f7ae9e7b8f836d4757f57a1d80a5f6253"},"schema_version":"1.0"},"canonical_sha256":"ac8278803797f83a6c967ccffcdfd34ceef2a1d13007b4d5b9a6a4ca04970188","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:14.565813Z","signature_b64":"aHeMLZClX36DueHSjwXhekX3tP2/I4d2XuDeG28sgSjLgsZscQCgQ70D4H1neR0wyD2+xczsFCgCYJ8WL5EdBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac8278803797f83a6c967ccffcdfd34ceef2a1d13007b4d5b9a6a4ca04970188","last_reissued_at":"2026-05-18T01:22:14.565184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:14.565184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.04451","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":"2026-05-18T01:22:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X36tsF3L6k0iyJaUN++DBi6j17VCxvtc4/R1rMABQNdzdOOYd4P3UTRwB+Pvv3bLPo0vA/LKnkKoGKt2qX6pBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T16:52:44.817709Z"},"content_sha256":"ecf5721f21b6b9fc61b70fb50d4af587efbaf453c943d236a4ff246285d0e2f4","schema_version":"1.0","event_id":"sha256:ecf5721f21b6b9fc61b70fb50d4af587efbaf453c943d236a4ff246285d0e2f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VSBHRABXS74DU3EWPTH7ZX6TJT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge Physics of Spin Hall Effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Congson Ho, Mansoor B.A. Jalil, Seng Ghee Tan, Shuichi Murakami, Zhuobin Siu","submitted_at":"2015-04-17T06:41:13Z","abstract_excerpt":"Spin Hall effect (SHE) has been discussed in the context of Kubo formulation, geometric physics, spin orbit force, and numerous semi-classical treatments. It can be confusing if the different pictures have partial or overlapping claims of contribution to the SHE. In this article, we present a gauge-theoretic, time-momentum elucidation, which provides a general SHE equation of motion, that unifies under one theoretical framework, all contributions of SHE conductivity due to the kinetic, the spin orbit force (Yang-Mills), and the geometric (Murakami-Fujita) effects. Our work puts right an ambigu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04451","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":"2026-05-18T01:22:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"agambXxd8gs7PXz5XTCgHIU55Czxr20ZdpR0PRCCHZOsLDUXTLUnXZw5jsNJvOq5I314NB0oVLEbNMyxto5uDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T16:52:44.818743Z"},"content_sha256":"f87c24889de0887768fcd71f5d31942463a2dfba223678efe8a11c646d4fc42b","schema_version":"1.0","event_id":"sha256:f87c24889de0887768fcd71f5d31942463a2dfba223678efe8a11c646d4fc42b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSBHRABXS74DU3EWPTH7ZX6TJT/bundle.json","state_url":"https://pith.science/pith/VSBHRABXS74DU3EWPTH7ZX6TJT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSBHRABXS74DU3EWPTH7ZX6TJT/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":"2026-06-11T16:52:44Z","links":{"resolver":"https://pith.science/pith/VSBHRABXS74DU3EWPTH7ZX6TJT","bundle":"https://pith.science/pith/VSBHRABXS74DU3EWPTH7ZX6TJT/bundle.json","state":"https://pith.science/pith/VSBHRABXS74DU3EWPTH7ZX6TJT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSBHRABXS74DU3EWPTH7ZX6TJT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VSBHRABXS74DU3EWPTH7ZX6TJT","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":"75f4c060809c43063096181682e9761f7ae9e7b8f836d4757f57a1d80a5f6253","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-04-17T06:41:13Z","title_canon_sha256":"df82d440690407956775c3423c74b1a74a09acf85c8b2bc3aa83c9f319a8cba9"},"schema_version":"1.0","source":{"id":"1504.04451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04451","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04451v1","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04451","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"pith_short_12","alias_value":"VSBHRABXS74D","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VSBHRABXS74DU3EW","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VSBHRABX","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:f87c24889de0887768fcd71f5d31942463a2dfba223678efe8a11c646d4fc42b","target":"graph","created_at":"2026-05-18T01:22:14Z","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":"Spin Hall effect (SHE) has been discussed in the context of Kubo formulation, geometric physics, spin orbit force, and numerous semi-classical treatments. It can be confusing if the different pictures have partial or overlapping claims of contribution to the SHE. In this article, we present a gauge-theoretic, time-momentum elucidation, which provides a general SHE equation of motion, that unifies under one theoretical framework, all contributions of SHE conductivity due to the kinetic, the spin orbit force (Yang-Mills), and the geometric (Murakami-Fujita) effects. Our work puts right an ambigu","authors_text":"Congson Ho, Mansoor B.A. Jalil, Seng Ghee Tan, Shuichi Murakami, Zhuobin Siu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-04-17T06:41:13Z","title":"Gauge Physics of Spin Hall Effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04451","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:ecf5721f21b6b9fc61b70fb50d4af587efbaf453c943d236a4ff246285d0e2f4","target":"record","created_at":"2026-05-18T01:22:14Z","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":"75f4c060809c43063096181682e9761f7ae9e7b8f836d4757f57a1d80a5f6253","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-04-17T06:41:13Z","title_canon_sha256":"df82d440690407956775c3423c74b1a74a09acf85c8b2bc3aa83c9f319a8cba9"},"schema_version":"1.0","source":{"id":"1504.04451","kind":"arxiv","version":1}},"canonical_sha256":"ac8278803797f83a6c967ccffcdfd34ceef2a1d13007b4d5b9a6a4ca04970188","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac8278803797f83a6c967ccffcdfd34ceef2a1d13007b4d5b9a6a4ca04970188","first_computed_at":"2026-05-18T01:22:14.565184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:14.565184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHeMLZClX36DueHSjwXhekX3tP2/I4d2XuDeG28sgSjLgsZscQCgQ70D4H1neR0wyD2+xczsFCgCYJ8WL5EdBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:14.565813Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecf5721f21b6b9fc61b70fb50d4af587efbaf453c943d236a4ff246285d0e2f4","sha256:f87c24889de0887768fcd71f5d31942463a2dfba223678efe8a11c646d4fc42b"],"state_sha256":"8518d854aa7127d609f4e7b3860bf8e029722db115fd133e15407952785bfd2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CvDCx1Y0xrOxNci6WB/s+tl5ovh89FY6trhul5C23F7rQ3o4ggQHG/2imKlSzcp4BMB3lA8n7ujxAL9S6BAJCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T16:52:44.822991Z","bundle_sha256":"e8a5ba5c9d04c2c697976255a8570496813895dd36cd1f5c64df6e73bf3dd55b"}}