{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UPIK67I5DHL3IHPCP53IJ3XA5S","short_pith_number":"pith:UPIK67I5","canonical_record":{"source":{"id":"1905.12538","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-05-29T15:39:42Z","cross_cats_sorted":[],"title_canon_sha256":"a6152548a37ae866d2d26ee07b9e42cee66ea96f58c2acbff3c0e0ecb0d022f2","abstract_canon_sha256":"fadd029bf657d8c03ecc8da8380c9b98c71d75098cf4d0dac08e3abf6be21767"},"schema_version":"1.0"},"canonical_sha256":"a3d0af7d1d19d7b41de27f7684eee0ecb956d33e917b408f82abc97fb733026d","source":{"kind":"arxiv","id":"1905.12538","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12538","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12538v1","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12538","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"pith_short_12","alias_value":"UPIK67I5DHL3","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UPIK67I5DHL3IHPC","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UPIK67I5","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UPIK67I5DHL3IHPCP53IJ3XA5S","target":"record","payload":{"canonical_record":{"source":{"id":"1905.12538","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-05-29T15:39:42Z","cross_cats_sorted":[],"title_canon_sha256":"a6152548a37ae866d2d26ee07b9e42cee66ea96f58c2acbff3c0e0ecb0d022f2","abstract_canon_sha256":"fadd029bf657d8c03ecc8da8380c9b98c71d75098cf4d0dac08e3abf6be21767"},"schema_version":"1.0"},"canonical_sha256":"a3d0af7d1d19d7b41de27f7684eee0ecb956d33e917b408f82abc97fb733026d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:44.015570Z","signature_b64":"7PH4lcwiDJMCq+eaorMp35Nu2PhnPRWuHKgtwUEpQyuCqerfAaEyUSsLD0fjsPdZsq27AVTL6Z7pOwL8ujLwDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3d0af7d1d19d7b41de27f7684eee0ecb956d33e917b408f82abc97fb733026d","last_reissued_at":"2026-05-17T23:44:44.014841Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:44.014841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.12538","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":"2026-05-17T23:44:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OEYtRd+YGXdS9fLOwuvyrq6AW9uFnrH8+s5cYeXojYdG89YgX9nOpCDKkE2YihVqm6q8aJkK94lI6cojO43ABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:32:09.790838Z"},"content_sha256":"4965c3ab6d59ccb0cfe57ad0233c0c6ac5ec046914805e035887b00cc1f8f98a","schema_version":"1.0","event_id":"sha256:4965c3ab6d59ccb0cfe57ad0233c0c6ac5ec046914805e035887b00cc1f8f98a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UPIK67I5DHL3IHPCP53IJ3XA5S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aharonov-Bohm scattering for relativistic particles in (3 + 1)-dimensional noncommutative space with spin dependence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. A. Stechhahn","submitted_at":"2019-05-29T15:39:42Z","abstract_excerpt":"We study the effects of noncommutativity of spacetime with mixed spatial and spin degrees of freedom in a relativistic context. Using the Dirac equation in (3+1) dimensions and in a symmetric gauge, we calculate the invariant amplitude for a small magnetic field flux. The parameter {\\theta} that characterizes the noncommutativity here is not constant, and the model preserves Lorentz symmetry. A comparison is made with scattering in the context of canonical noncommutativity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12538","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":"2026-05-17T23:44:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7a9CRkRKOPsqshYQXteU2UKUrNofstFU7mWanfw28w9V7fQizycpUuhZj/EIKkneeZg7CHoTKfH8a23n27hpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:32:09.791169Z"},"content_sha256":"3b08119acfec2ec7e2051f4076c2e5f29b0e405e8b7a0144d624a2495f6ea5c1","schema_version":"1.0","event_id":"sha256:3b08119acfec2ec7e2051f4076c2e5f29b0e405e8b7a0144d624a2495f6ea5c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPIK67I5DHL3IHPCP53IJ3XA5S/bundle.json","state_url":"https://pith.science/pith/UPIK67I5DHL3IHPCP53IJ3XA5S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPIK67I5DHL3IHPCP53IJ3XA5S/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":"2026-06-28T20:32:09Z","links":{"resolver":"https://pith.science/pith/UPIK67I5DHL3IHPCP53IJ3XA5S","bundle":"https://pith.science/pith/UPIK67I5DHL3IHPCP53IJ3XA5S/bundle.json","state":"https://pith.science/pith/UPIK67I5DHL3IHPCP53IJ3XA5S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPIK67I5DHL3IHPCP53IJ3XA5S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UPIK67I5DHL3IHPCP53IJ3XA5S","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":"fadd029bf657d8c03ecc8da8380c9b98c71d75098cf4d0dac08e3abf6be21767","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-05-29T15:39:42Z","title_canon_sha256":"a6152548a37ae866d2d26ee07b9e42cee66ea96f58c2acbff3c0e0ecb0d022f2"},"schema_version":"1.0","source":{"id":"1905.12538","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12538","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12538v1","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12538","created_at":"2026-05-17T23:44:44Z"},{"alias_kind":"pith_short_12","alias_value":"UPIK67I5DHL3","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UPIK67I5DHL3IHPC","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UPIK67I5","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:3b08119acfec2ec7e2051f4076c2e5f29b0e405e8b7a0144d624a2495f6ea5c1","target":"graph","created_at":"2026-05-17T23:44:44Z","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":"We study the effects of noncommutativity of spacetime with mixed spatial and spin degrees of freedom in a relativistic context. Using the Dirac equation in (3+1) dimensions and in a symmetric gauge, we calculate the invariant amplitude for a small magnetic field flux. The parameter {\\theta} that characterizes the noncommutativity here is not constant, and the model preserves Lorentz symmetry. A comparison is made with scattering in the context of canonical noncommutativity.","authors_text":"C. A. Stechhahn","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-05-29T15:39:42Z","title":"Aharonov-Bohm scattering for relativistic particles in (3 + 1)-dimensional noncommutative space with spin dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12538","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":"sha256:4965c3ab6d59ccb0cfe57ad0233c0c6ac5ec046914805e035887b00cc1f8f98a","target":"record","created_at":"2026-05-17T23:44:44Z","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":"fadd029bf657d8c03ecc8da8380c9b98c71d75098cf4d0dac08e3abf6be21767","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-05-29T15:39:42Z","title_canon_sha256":"a6152548a37ae866d2d26ee07b9e42cee66ea96f58c2acbff3c0e0ecb0d022f2"},"schema_version":"1.0","source":{"id":"1905.12538","kind":"arxiv","version":1}},"canonical_sha256":"a3d0af7d1d19d7b41de27f7684eee0ecb956d33e917b408f82abc97fb733026d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3d0af7d1d19d7b41de27f7684eee0ecb956d33e917b408f82abc97fb733026d","first_computed_at":"2026-05-17T23:44:44.014841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:44.014841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7PH4lcwiDJMCq+eaorMp35Nu2PhnPRWuHKgtwUEpQyuCqerfAaEyUSsLD0fjsPdZsq27AVTL6Z7pOwL8ujLwDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:44.015570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.12538","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4965c3ab6d59ccb0cfe57ad0233c0c6ac5ec046914805e035887b00cc1f8f98a","sha256:3b08119acfec2ec7e2051f4076c2e5f29b0e405e8b7a0144d624a2495f6ea5c1"],"state_sha256":"f134cbeff5e49089833ab3d1878517d27d384021b9c8a3f561fc71f7c1f177ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5vgynG9F4fe+pdtG+4CsPowZBM4stUqp6BbI28pMJW52+TX0wDSQWrKQjean5J1Bk9Cxxf3RSKhDckF0fEm9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T20:32:09.793007Z","bundle_sha256":"c9005c2732f2901cc15a4cd1182cbd83bfcd4a128c4a84e2f4a322d49508dc23"}}