{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OZPOW5UJEIBRIZ4KT7QIAPCNKL","short_pith_number":"pith:OZPOW5UJ","canonical_record":{"source":{"id":"1509.03684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2015-09-11T22:49:53Z","cross_cats_sorted":[],"title_canon_sha256":"8184ea4cc37d029ad1348b8d40392df68809004b12b27fd76c1ab4cb2f95c720","abstract_canon_sha256":"67367f03379f6544109417f46cfc6ba8651ab0516d2ad9c18ae1c8652a0431ed"},"schema_version":"1.0"},"canonical_sha256":"765eeb7689220314678a9fe0803c4d52f477f09db8fe8441ceb933b47b9eb88e","source":{"kind":"arxiv","id":"1509.03684","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03684","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03684v1","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03684","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"pith_short_12","alias_value":"OZPOW5UJEIBR","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OZPOW5UJEIBRIZ4K","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OZPOW5UJ","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OZPOW5UJEIBRIZ4KT7QIAPCNKL","target":"record","payload":{"canonical_record":{"source":{"id":"1509.03684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2015-09-11T22:49:53Z","cross_cats_sorted":[],"title_canon_sha256":"8184ea4cc37d029ad1348b8d40392df68809004b12b27fd76c1ab4cb2f95c720","abstract_canon_sha256":"67367f03379f6544109417f46cfc6ba8651ab0516d2ad9c18ae1c8652a0431ed"},"schema_version":"1.0"},"canonical_sha256":"765eeb7689220314678a9fe0803c4d52f477f09db8fe8441ceb933b47b9eb88e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:46.164549Z","signature_b64":"H7L4wTWanptWutI+1ta0jHhxFjQBfgfJ9wYVtQlhmw+em5tVoQ7I+Nzh8Aj7nawaEBgopyEZper/qrTmTffsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"765eeb7689220314678a9fe0803c4d52f477f09db8fe8441ceb933b47b9eb88e","last_reissued_at":"2026-05-18T01:28:46.163855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:46.163855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.03684","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":"2026-05-18T01:28:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9e5zQATaK1xWXP+ElGEBJi1gB/qmtKLlvo1dKatsjusv89zrlZBmq89BFEAjFi+N05qaX5OXaMdlkwy5rGAUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:20:21.418709Z"},"content_sha256":"c7532703cb34622cd06a002d84b245dcd3fad6e04092de4359663dc686657bcb","schema_version":"1.0","event_id":"sha256:c7532703cb34622cd06a002d84b245dcd3fad6e04092de4359663dc686657bcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OZPOW5UJEIBRIZ4KT7QIAPCNKL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Induced magnetic moment for a spinless charged particle in the thin-layer approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"F. T. Brandt, J. A. S\\'anchez-Monroy","submitted_at":"2015-09-11T22:49:53Z","abstract_excerpt":"We determine the effective dynamics for a spinless charged particle, in the presence of electromagnetic fields, constrained to a space curve. We employ the thin-layer procedure and a perturbative expansion for the Schr\\\"odinger equation is derived. We find that the first-order term in the perturbative expansion couples the dynamics of the normal and tangent degrees of freedom. However, there is always a gauge transformation that allows decouple the dynamics. We find that the effective Schr\\\"odinger equation in the curve contains an induced Zeeman coupling, independent of the curvature and tors"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03684","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":"2026-05-18T01:28:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JvfQys5pSk+Jp3np0k9z5rDwIMCNjoSNKdEfHsMytGqWk2PMl/3zC6qz4CwrEv1vjH0yFiXd4NzwMGJboHReCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:20:21.419067Z"},"content_sha256":"2e50b71ed24a9e7627d27c71029c55c002aca02e171d7ae38e778b09508b6889","schema_version":"1.0","event_id":"sha256:2e50b71ed24a9e7627d27c71029c55c002aca02e171d7ae38e778b09508b6889"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OZPOW5UJEIBRIZ4KT7QIAPCNKL/bundle.json","state_url":"https://pith.science/pith/OZPOW5UJEIBRIZ4KT7QIAPCNKL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OZPOW5UJEIBRIZ4KT7QIAPCNKL/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":"2026-06-04T18:20:21Z","links":{"resolver":"https://pith.science/pith/OZPOW5UJEIBRIZ4KT7QIAPCNKL","bundle":"https://pith.science/pith/OZPOW5UJEIBRIZ4KT7QIAPCNKL/bundle.json","state":"https://pith.science/pith/OZPOW5UJEIBRIZ4KT7QIAPCNKL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OZPOW5UJEIBRIZ4KT7QIAPCNKL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OZPOW5UJEIBRIZ4KT7QIAPCNKL","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":"67367f03379f6544109417f46cfc6ba8651ab0516d2ad9c18ae1c8652a0431ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2015-09-11T22:49:53Z","title_canon_sha256":"8184ea4cc37d029ad1348b8d40392df68809004b12b27fd76c1ab4cb2f95c720"},"schema_version":"1.0","source":{"id":"1509.03684","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03684","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03684v1","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03684","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"pith_short_12","alias_value":"OZPOW5UJEIBR","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OZPOW5UJEIBRIZ4K","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OZPOW5UJ","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:2e50b71ed24a9e7627d27c71029c55c002aca02e171d7ae38e778b09508b6889","target":"graph","created_at":"2026-05-18T01:28:46Z","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 determine the effective dynamics for a spinless charged particle, in the presence of electromagnetic fields, constrained to a space curve. We employ the thin-layer procedure and a perturbative expansion for the Schr\\\"odinger equation is derived. We find that the first-order term in the perturbative expansion couples the dynamics of the normal and tangent degrees of freedom. However, there is always a gauge transformation that allows decouple the dynamics. We find that the effective Schr\\\"odinger equation in the curve contains an induced Zeeman coupling, independent of the curvature and tors","authors_text":"F. T. Brandt, J. A. S\\'anchez-Monroy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2015-09-11T22:49:53Z","title":"Induced magnetic moment for a spinless charged particle in the thin-layer approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03684","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:c7532703cb34622cd06a002d84b245dcd3fad6e04092de4359663dc686657bcb","target":"record","created_at":"2026-05-18T01:28:46Z","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":"67367f03379f6544109417f46cfc6ba8651ab0516d2ad9c18ae1c8652a0431ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2015-09-11T22:49:53Z","title_canon_sha256":"8184ea4cc37d029ad1348b8d40392df68809004b12b27fd76c1ab4cb2f95c720"},"schema_version":"1.0","source":{"id":"1509.03684","kind":"arxiv","version":1}},"canonical_sha256":"765eeb7689220314678a9fe0803c4d52f477f09db8fe8441ceb933b47b9eb88e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"765eeb7689220314678a9fe0803c4d52f477f09db8fe8441ceb933b47b9eb88e","first_computed_at":"2026-05-18T01:28:46.163855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:46.163855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H7L4wTWanptWutI+1ta0jHhxFjQBfgfJ9wYVtQlhmw+em5tVoQ7I+Nzh8Aj7nawaEBgopyEZper/qrTmTffsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:46.164549Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03684","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7532703cb34622cd06a002d84b245dcd3fad6e04092de4359663dc686657bcb","sha256:2e50b71ed24a9e7627d27c71029c55c002aca02e171d7ae38e778b09508b6889"],"state_sha256":"108a414fabfbdcbd4529caaea2095da91a8a89d1b21d02a909e6be1590bd5ebb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Klzkoo9WmC0mhTTbMaKiBmECbW7nm0xAB/3+pKAwKVWvMzO96NTb28fwLQ+gETVDwKzpY59g0SfiDMVeQu8Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T18:20:21.421418Z","bundle_sha256":"6787d18e4e8c24ba98f4711b37ecee3546e27f7b9ff962bbf3a61397e9a80e80"}}