{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QTL5WGJ7RKJRGKKX5TYZLR67BT","short_pith_number":"pith:QTL5WGJ7","canonical_record":{"source":{"id":"1610.09663","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-30T15:33:14Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"61c023737f9c8218aaf4c7ada5331bbab26f8a408f37bd72c71c7e2feed016c8","abstract_canon_sha256":"3af9d1c4c0c1663d1afee7ad4282387252b0d718742d560d8a2aefdd46c19003"},"schema_version":"1.0"},"canonical_sha256":"84d7db193f8a93132957ecf195c7df0ce0f110e899dd9b0cee44a704dd863639","source":{"kind":"arxiv","id":"1610.09663","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09663","created_at":"2026-05-18T00:57:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09663v1","created_at":"2026-05-18T00:57:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09663","created_at":"2026-05-18T00:57:25Z"},{"alias_kind":"pith_short_12","alias_value":"QTL5WGJ7RKJR","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QTL5WGJ7RKJRGKKX","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QTL5WGJ7","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QTL5WGJ7RKJRGKKX5TYZLR67BT","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09663","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-30T15:33:14Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"61c023737f9c8218aaf4c7ada5331bbab26f8a408f37bd72c71c7e2feed016c8","abstract_canon_sha256":"3af9d1c4c0c1663d1afee7ad4282387252b0d718742d560d8a2aefdd46c19003"},"schema_version":"1.0"},"canonical_sha256":"84d7db193f8a93132957ecf195c7df0ce0f110e899dd9b0cee44a704dd863639","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:25.359661Z","signature_b64":"l60jGZbkq4CjJanfOz5x3/RGRUYajJMRI4alTkRCyGNSIjZUSAzbWPw8OFX91Jd09Ib1W/v5skDeDQdNSXqwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84d7db193f8a93132957ecf195c7df0ce0f110e899dd9b0cee44a704dd863639","last_reissued_at":"2026-05-18T00:57:25.359171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:25.359171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09663","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":"2026-05-18T00:57:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDgsmKPuxwtzijc0ZfOwa/Crd9YYEEkNWdt6QgQpK/iiKIuU99B0TcvOgCsjBngWpN4ssyMylU4zC8ytI0htBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T18:30:55.424937Z"},"content_sha256":"ac7d46dda87133d472d50332faaee811a9cff9275f14fa39facead508db60fba","schema_version":"1.0","event_id":"sha256:ac7d46dda87133d472d50332faaee811a9cff9275f14fa39facead508db60fba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QTL5WGJ7RKJRGKKX5TYZLR67BT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hermitian and Gauge-Covariant Hamiltonians for a particle in a magnetic field on Cylindrical and Spherical Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"M.S.Shikakhwa, N.Chair","submitted_at":"2016-10-30T15:33:14Z","abstract_excerpt":"We construct the Hermitian Schr\\\"{o}dinger Hamiltonian of spin-less as well as the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field that are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved by strong radial potentials. We identify the Hermitian and gauge-covariant (in the prese"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09663","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":"2026-05-18T00:57:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KrXZwQp6t12r3BlDsl1TPmi/SaxRYbENK11qGvUU07Rw0EWEQRrA7Syx4I5LiibRuJcVTb1hYlsJEHtrEKQwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T18:30:55.425286Z"},"content_sha256":"c6d46dae1af7ee4b3633e7d86fd2da715d90048c2957b78cb1358485b93b5d6b","schema_version":"1.0","event_id":"sha256:c6d46dae1af7ee4b3633e7d86fd2da715d90048c2957b78cb1358485b93b5d6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTL5WGJ7RKJRGKKX5TYZLR67BT/bundle.json","state_url":"https://pith.science/pith/QTL5WGJ7RKJRGKKX5TYZLR67BT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTL5WGJ7RKJRGKKX5TYZLR67BT/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":"2026-07-03T18:30:55Z","links":{"resolver":"https://pith.science/pith/QTL5WGJ7RKJRGKKX5TYZLR67BT","bundle":"https://pith.science/pith/QTL5WGJ7RKJRGKKX5TYZLR67BT/bundle.json","state":"https://pith.science/pith/QTL5WGJ7RKJRGKKX5TYZLR67BT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTL5WGJ7RKJRGKKX5TYZLR67BT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QTL5WGJ7RKJRGKKX5TYZLR67BT","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":"3af9d1c4c0c1663d1afee7ad4282387252b0d718742d560d8a2aefdd46c19003","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-30T15:33:14Z","title_canon_sha256":"61c023737f9c8218aaf4c7ada5331bbab26f8a408f37bd72c71c7e2feed016c8"},"schema_version":"1.0","source":{"id":"1610.09663","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09663","created_at":"2026-05-18T00:57:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09663v1","created_at":"2026-05-18T00:57:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09663","created_at":"2026-05-18T00:57:25Z"},{"alias_kind":"pith_short_12","alias_value":"QTL5WGJ7RKJR","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QTL5WGJ7RKJRGKKX","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QTL5WGJ7","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:c6d46dae1af7ee4b3633e7d86fd2da715d90048c2957b78cb1358485b93b5d6b","target":"graph","created_at":"2026-05-18T00:57:25Z","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 construct the Hermitian Schr\\\"{o}dinger Hamiltonian of spin-less as well as the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field that are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved by strong radial potentials. We identify the Hermitian and gauge-covariant (in the prese","authors_text":"M.S.Shikakhwa, N.Chair","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-30T15:33:14Z","title":"Hermitian and Gauge-Covariant Hamiltonians for a particle in a magnetic field on Cylindrical and Spherical Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09663","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:ac7d46dda87133d472d50332faaee811a9cff9275f14fa39facead508db60fba","target":"record","created_at":"2026-05-18T00:57:25Z","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":"3af9d1c4c0c1663d1afee7ad4282387252b0d718742d560d8a2aefdd46c19003","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-30T15:33:14Z","title_canon_sha256":"61c023737f9c8218aaf4c7ada5331bbab26f8a408f37bd72c71c7e2feed016c8"},"schema_version":"1.0","source":{"id":"1610.09663","kind":"arxiv","version":1}},"canonical_sha256":"84d7db193f8a93132957ecf195c7df0ce0f110e899dd9b0cee44a704dd863639","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84d7db193f8a93132957ecf195c7df0ce0f110e899dd9b0cee44a704dd863639","first_computed_at":"2026-05-18T00:57:25.359171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:25.359171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l60jGZbkq4CjJanfOz5x3/RGRUYajJMRI4alTkRCyGNSIjZUSAzbWPw8OFX91Jd09Ib1W/v5skDeDQdNSXqwBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:25.359661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09663","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac7d46dda87133d472d50332faaee811a9cff9275f14fa39facead508db60fba","sha256:c6d46dae1af7ee4b3633e7d86fd2da715d90048c2957b78cb1358485b93b5d6b"],"state_sha256":"61a6d0dcb5e47291132955255e2dcfc78a44922dde08890e2ae58671686ba994"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uyzjkF94YeAnvHfb7Wz96bUa/ZFARzbvumY9xrYB9TNAsiF6j6A61w59wUv9bSBGjJYxBnH4YZG/9Qk0zRD9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T18:30:55.428373Z","bundle_sha256":"1205c82e401585214e8c693eda34e5cae9046f364eb7afcc2f52e01beddae397"}}