{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KJA7YQUFB673FYBEOUUALCJKMH","short_pith_number":"pith:KJA7YQUF","canonical_record":{"source":{"id":"2607.09997","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T21:46:45Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"324ba73daf3496b69b177babe99d856b2b1d211bbd8d3347a2639ac2cca6f376","abstract_canon_sha256":"7399c2f556d99808f36a2b06db60a756f89d6d534a8ee6eddda5c2c0bf6888b6"},"schema_version":"1.0"},"canonical_sha256":"5241fc42850fbfb2e024752805892a61e7052cdb2afc34da2ca4c77cac10e158","source":{"kind":"arxiv","id":"2607.09997","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09997","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09997v1","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09997","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"pith_short_12","alias_value":"KJA7YQUFB673","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"pith_short_16","alias_value":"KJA7YQUFB673FYBE","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"pith_short_8","alias_value":"KJA7YQUF","created_at":"2026-07-14T00:18:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KJA7YQUFB673FYBEOUUALCJKMH","target":"record","payload":{"canonical_record":{"source":{"id":"2607.09997","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T21:46:45Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"324ba73daf3496b69b177babe99d856b2b1d211bbd8d3347a2639ac2cca6f376","abstract_canon_sha256":"7399c2f556d99808f36a2b06db60a756f89d6d534a8ee6eddda5c2c0bf6888b6"},"schema_version":"1.0"},"canonical_sha256":"5241fc42850fbfb2e024752805892a61e7052cdb2afc34da2ca4c77cac10e158","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T00:18:46.800294Z","signature_b64":"wzYJrCeVr7cFelSWQM4j71aD/pBMnz7j2gjlgWoMC0VpNn74zT2629+qjtX1sbIPYDt9zP+WTS4CtIjbKgANCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5241fc42850fbfb2e024752805892a61e7052cdb2afc34da2ca4c77cac10e158","last_reissued_at":"2026-07-14T00:18:46.799466Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T00:18:46.799466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.09997","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":"2026-07-14T00:18:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DuZV6zS7U79ZgZw7h7U+Atp145Al6TJUdqju9Wb6Lp/yBcnlR/21LH72f6QORstuNIJmob3AZ2kaJ/mn5PBPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:56:35.088832Z"},"content_sha256":"ec795892c6fcd029f1d45fac8f0557d3bedcf20ab49cf3c0890202151fd03f28","schema_version":"1.0","event_id":"sha256:ec795892c6fcd029f1d45fac8f0557d3bedcf20ab49cf3c0890202151fd03f28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KJA7YQUFB673FYBEOUUALCJKMH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scalar and vector bosons in a Bonnor-Melvin-$\\Lambda$ spacetime: an exact Duffin-Kemmer-Petiau analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"gr-qc","authors_text":"Francisco A. Cruz Neto, Luis B. Castro","submitted_at":"2026-07-10T21:46:45Z","abstract_excerpt":"We study scalar and vector bosons in the Bonnor--Melvin--$\\Lambda$ spacetime within the Duffin--Kemmer--Petiau (DKP) formalism. By employing Umezawa's projection operators, we separate the physical spin-0 and spin-1 sectors and derive the corresponding exact second-order equations in the full curved spacetime, without relying on the conical approximation. For the scalar sector, the radial equation reduces to a Schr\\\"odinger-like equation with a trigonometric P\\\"oschl--Teller effective potential. In the vector sector, the longitudinal mode is governed by the same effective potential, whereas th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09997","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.09997/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":"2026-07-14T00:18:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lebpvdinjxpfQbZ6r5L1lST6PYa0JKKEdr3kb9j+MZXuzYXYtD9ExadQ69EbVp+gIeBzMUx3bzLbo/W5KIDDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:56:35.089499Z"},"content_sha256":"d11d9876fa5273e946bf82fb09aa22c23509a34e157edb7767faf0a348589ebe","schema_version":"1.0","event_id":"sha256:d11d9876fa5273e946bf82fb09aa22c23509a34e157edb7767faf0a348589ebe"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:KJA7YQUFB673FYBEOUUALCJKMH","target":"integrity","payload":{"note":"DOI '10.1142/4593' as printed in the bibliography is syntactically invalid and cannot resolve.","snippet":"A.A. Bytsenko, A.E. Gon¸ calves, B.M. Pimentel, Geometrical Aspects of Quantum Fields (WORLD SCIENTIFIC, 2001). DOI 10.1142/4593","arxiv_id":"2607.09997","detector":"doi_compliance","evidence":{"ref_index":44,"raw_excerpt":"A.A. Bytsenko, A.E. Gon¸ calves, B.M. Pimentel, Geometrical Aspects of Quantum Fields (WORLD SCIENTIFIC, 2001). DOI 10.1142/4593","verdict_class":"incontrovertible","doi_as_printed":"10.1142/4593"},"severity":"critical","ref_index":44,"audited_at":"2026-07-14T01:12:25.688505Z","event_type":"pith.integrity.v1","detected_doi":"10.1142/4593","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"broken_identifier","evidence_hash":"2595f67566ed8ac09294e6d6bf46ba14793b21297ed819552d6c4668cb121ebc","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":13099,"payload_sha256":"d5fb0469eb5e216011a452d48bfc7ae93fe45c9069335547d8290a7d7c9639c4","signature_b64":"/ZboAC7Jdi8chJM5zvbLhcIoT4Qt4F4FEh2uFAAOtH6NIzBlsO5jsF6tRX3w36hftz+Zlkq+DzWtyWBReJiZBg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-14T01:15:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RiWgEuAu5zYiRQDh+SicF0RX4L4HoxRtnu8dw/witk+rFEQgOxcwQ4lQs/ZZ8YaoSGI3sK7mL7tFKvkIEcMOCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:56:35.136863Z"},"content_sha256":"6680ef6f50754213688e02f13a01c3a230c475b7f23345abd084a3e0ddaeeb25","schema_version":"1.0","event_id":"sha256:6680ef6f50754213688e02f13a01c3a230c475b7f23345abd084a3e0ddaeeb25"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:KJA7YQUFB673FYBEOUUALCJKMH","target":"integrity","payload":{"note":"Identifier '10.1016/s0375-9601(98' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","snippet":"M. Nowakowski, Phys. Lett. A 244, 329 (1998). DOI http://dx.doi.org/10.1016/S0375-9601(98) 00365-X","arxiv_id":"2607.09997","detector":"doi_compliance","evidence":{"doi":"10.1016/s0375-9601(98","arxiv_id":null,"ref_index":5,"raw_excerpt":"M. Nowakowski, Phys. Lett. A 244, 329 (1998). DOI http://dx.doi.org/10.1016/S0375-9601(98) 00365-X","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"]},"severity":"critical","ref_index":5,"audited_at":"2026-07-14T01:12:25.688505Z","event_type":"pith.integrity.v1","detected_doi":"10.1016/s0375-9601(98","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"c7ca423c2bed60c6ceeae338f371c26424653f596e44ed01ec76a2ff40ff880d","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":13098,"payload_sha256":"889fab5b0c32607d1991892cae9f9514e954add22851723a106df99cc81033a9","signature_b64":"cwhdEl06mwJlzXgjLrYxnQ5y4IyuzPzN5hHMcj4OmGq5d8q4rNCYpd4QssdyuTVYnb6A+N9OEL/vGD1pGZxqAw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-14T01:15:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iRi9couF6phqrftVGNqO3FiVktwvMtebjt9rDWiORRzJbYjIZ9cCqETtwloeZkn7wGTpNzxhXyxrVseanTXHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:56:35.137430Z"},"content_sha256":"46c0837badb100fff7337eef536fa4751df0d451f70f907e1a2484df40f81f1f","schema_version":"1.0","event_id":"sha256:46c0837badb100fff7337eef536fa4751df0d451f70f907e1a2484df40f81f1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KJA7YQUFB673FYBEOUUALCJKMH/bundle.json","state_url":"https://pith.science/pith/KJA7YQUFB673FYBEOUUALCJKMH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KJA7YQUFB673FYBEOUUALCJKMH/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":"2026-08-13T18:56:35Z","links":{"resolver":"https://pith.science/pith/KJA7YQUFB673FYBEOUUALCJKMH","bundle":"https://pith.science/pith/KJA7YQUFB673FYBEOUUALCJKMH/bundle.json","state":"https://pith.science/pith/KJA7YQUFB673FYBEOUUALCJKMH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KJA7YQUFB673FYBEOUUALCJKMH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KJA7YQUFB673FYBEOUUALCJKMH","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7399c2f556d99808f36a2b06db60a756f89d6d534a8ee6eddda5c2c0bf6888b6","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T21:46:45Z","title_canon_sha256":"324ba73daf3496b69b177babe99d856b2b1d211bbd8d3347a2639ac2cca6f376"},"schema_version":"1.0","source":{"id":"2607.09997","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09997","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09997v1","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09997","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"pith_short_12","alias_value":"KJA7YQUFB673","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"pith_short_16","alias_value":"KJA7YQUFB673FYBE","created_at":"2026-07-14T00:18:46Z"},{"alias_kind":"pith_short_8","alias_value":"KJA7YQUF","created_at":"2026-07-14T00:18:46Z"}],"graph_snapshots":[{"event_id":"sha256:d11d9876fa5273e946bf82fb09aa22c23509a34e157edb7767faf0a348589ebe","target":"graph","created_at":"2026-07-14T00:18:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.09997/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study scalar and vector bosons in the Bonnor--Melvin--$\\Lambda$ spacetime within the Duffin--Kemmer--Petiau (DKP) formalism. By employing Umezawa's projection operators, we separate the physical spin-0 and spin-1 sectors and derive the corresponding exact second-order equations in the full curved spacetime, without relying on the conical approximation. For the scalar sector, the radial equation reduces to a Schr\\\"odinger-like equation with a trigonometric P\\\"oschl--Teller effective potential. In the vector sector, the longitudinal mode is governed by the same effective potential, whereas th","authors_text":"Francisco A. Cruz Neto, Luis B. Castro","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T21:46:45Z","title":"Scalar and vector bosons in a Bonnor-Melvin-$\\Lambda$ spacetime: an exact Duffin-Kemmer-Petiau analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09997","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:ec795892c6fcd029f1d45fac8f0557d3bedcf20ab49cf3c0890202151fd03f28","target":"record","created_at":"2026-07-14T00:18:46Z","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":"7399c2f556d99808f36a2b06db60a756f89d6d534a8ee6eddda5c2c0bf6888b6","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T21:46:45Z","title_canon_sha256":"324ba73daf3496b69b177babe99d856b2b1d211bbd8d3347a2639ac2cca6f376"},"schema_version":"1.0","source":{"id":"2607.09997","kind":"arxiv","version":1}},"canonical_sha256":"5241fc42850fbfb2e024752805892a61e7052cdb2afc34da2ca4c77cac10e158","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5241fc42850fbfb2e024752805892a61e7052cdb2afc34da2ca4c77cac10e158","first_computed_at":"2026-07-14T00:18:46.799466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T00:18:46.799466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wzYJrCeVr7cFelSWQM4j71aD/pBMnz7j2gjlgWoMC0VpNn74zT2629+qjtX1sbIPYDt9zP+WTS4CtIjbKgANCA==","signature_status":"signed_v1","signed_at":"2026-07-14T00:18:46.800294Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09997","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:46c0837badb100fff7337eef536fa4751df0d451f70f907e1a2484df40f81f1f","sha256:6680ef6f50754213688e02f13a01c3a230c475b7f23345abd084a3e0ddaeeb25"]}],"invalid_events":[],"applied_event_ids":["sha256:ec795892c6fcd029f1d45fac8f0557d3bedcf20ab49cf3c0890202151fd03f28","sha256:d11d9876fa5273e946bf82fb09aa22c23509a34e157edb7767faf0a348589ebe"],"state_sha256":"143bfe47d304658c7d186f4a32a646cd533921580d56372b89d4ccbbcab3f5a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GwZPXOBj26tei2IRyINI9DSlfveIfJr/TCjWhXCYmeNo1hYM672l/yk9ooq278EOH512NAu6j3kOc7DQLlw7Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T18:56:35.140185Z","bundle_sha256":"d3423aa93b7fe4cb1def0c42e9aa585da8ff80b7b8557bab7dc35911e005e086"}}