{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BZSFIRABHY6KH7YK3EKVQMIEOV","short_pith_number":"pith:BZSFIRAB","canonical_record":{"source":{"id":"1511.05058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-16T17:46:34Z","cross_cats_sorted":[],"title_canon_sha256":"3dcd9582560a2b9f9be165a15aeb4ec3ff75e1173d996a12a28c165d931e97f3","abstract_canon_sha256":"9d26e6b67252f62ad7e3d9aabc03e032478c847608aef4affa64725639608bb2"},"schema_version":"1.0"},"canonical_sha256":"0e645444013e3ca3ff0ad915583104757643abc84502b758cbf651b30286e8c9","source":{"kind":"arxiv","id":"1511.05058","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05058","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05058v1","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05058","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"pith_short_12","alias_value":"BZSFIRABHY6K","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BZSFIRABHY6KH7YK","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BZSFIRAB","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BZSFIRABHY6KH7YK3EKVQMIEOV","target":"record","payload":{"canonical_record":{"source":{"id":"1511.05058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-16T17:46:34Z","cross_cats_sorted":[],"title_canon_sha256":"3dcd9582560a2b9f9be165a15aeb4ec3ff75e1173d996a12a28c165d931e97f3","abstract_canon_sha256":"9d26e6b67252f62ad7e3d9aabc03e032478c847608aef4affa64725639608bb2"},"schema_version":"1.0"},"canonical_sha256":"0e645444013e3ca3ff0ad915583104757643abc84502b758cbf651b30286e8c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:50.943896Z","signature_b64":"SgUxdPSHab8H1CUfvdZe0Vr5OeCHptYo9SqFBlY1xkPuflP6zQ94rRhjgvM+FnjWDv9omGv6NXrXImfNgQm1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e645444013e3ca3ff0ad915583104757643abc84502b758cbf651b30286e8c9","last_reissued_at":"2026-05-18T01:26:50.943137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:50.943137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.05058","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":"2026-05-18T01:26:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXZBjKPnOykeUn1wWGfRUDlU2DuYFTSSVOWXWF6g7p9y15IgzdW15e5y3x3/OaAlGh1R9SnNTFITE7CNSEwYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:14:13.472820Z"},"content_sha256":"5ea7ebe6b8794ecf95925e5b5ab0a76febcfa629c780aa1324f763dfc888d2be","schema_version":"1.0","event_id":"sha256:5ea7ebe6b8794ecf95925e5b5ab0a76febcfa629c780aa1324f763dfc888d2be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BZSFIRABHY6KH7YK3EKVQMIEOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of half-spin particle motion in Reissner-Nordstroem and Schwarzschild fields by means of the method of effective potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E.Yu.Popov, M.V.Gorbatenko, V.P.Neznamov","submitted_at":"2015-11-16T17:46:34Z","abstract_excerpt":"The paper presents the analysis of effective potentials of Dirac equations in Schwarzschild and Reissner-Nordstroem fields. It is shown that in the majority of the explored cases the condition of a particle \"fall\" to appropriate event horizons is fulfilled. The exception is one of the solutions with normalizable wave functions for the Reissner-Nordstroem extreme field, for which the existence of the stationary bound state of half-spin particles is possible inside the event horizon."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05058","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":"2026-05-18T01:26:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7v4f1dRzg66mrVcZjVssBlhu8J+wu7mVHQZJrngECi3EsoyBE/6aCtEMYP9fKBABXqk6KJRcOVJ0dGeJ6WkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:14:13.473491Z"},"content_sha256":"bad794c39398225476079bef94c7b87ee73d926588210ab50b4f5d6dd3549e31","schema_version":"1.0","event_id":"sha256:bad794c39398225476079bef94c7b87ee73d926588210ab50b4f5d6dd3549e31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BZSFIRABHY6KH7YK3EKVQMIEOV/bundle.json","state_url":"https://pith.science/pith/BZSFIRABHY6KH7YK3EKVQMIEOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BZSFIRABHY6KH7YK3EKVQMIEOV/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":"2026-06-11T03:14:13Z","links":{"resolver":"https://pith.science/pith/BZSFIRABHY6KH7YK3EKVQMIEOV","bundle":"https://pith.science/pith/BZSFIRABHY6KH7YK3EKVQMIEOV/bundle.json","state":"https://pith.science/pith/BZSFIRABHY6KH7YK3EKVQMIEOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BZSFIRABHY6KH7YK3EKVQMIEOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BZSFIRABHY6KH7YK3EKVQMIEOV","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":"9d26e6b67252f62ad7e3d9aabc03e032478c847608aef4affa64725639608bb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-16T17:46:34Z","title_canon_sha256":"3dcd9582560a2b9f9be165a15aeb4ec3ff75e1173d996a12a28c165d931e97f3"},"schema_version":"1.0","source":{"id":"1511.05058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05058","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05058v1","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05058","created_at":"2026-05-18T01:26:50Z"},{"alias_kind":"pith_short_12","alias_value":"BZSFIRABHY6K","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BZSFIRABHY6KH7YK","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BZSFIRAB","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:bad794c39398225476079bef94c7b87ee73d926588210ab50b4f5d6dd3549e31","target":"graph","created_at":"2026-05-18T01:26:50Z","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":"The paper presents the analysis of effective potentials of Dirac equations in Schwarzschild and Reissner-Nordstroem fields. It is shown that in the majority of the explored cases the condition of a particle \"fall\" to appropriate event horizons is fulfilled. The exception is one of the solutions with normalizable wave functions for the Reissner-Nordstroem extreme field, for which the existence of the stationary bound state of half-spin particles is possible inside the event horizon.","authors_text":"E.Yu.Popov, M.V.Gorbatenko, V.P.Neznamov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-16T17:46:34Z","title":"Analysis of half-spin particle motion in Reissner-Nordstroem and Schwarzschild fields by means of the method of effective potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05058","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":"sha256:5ea7ebe6b8794ecf95925e5b5ab0a76febcfa629c780aa1324f763dfc888d2be","target":"record","created_at":"2026-05-18T01:26:50Z","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":"9d26e6b67252f62ad7e3d9aabc03e032478c847608aef4affa64725639608bb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-16T17:46:34Z","title_canon_sha256":"3dcd9582560a2b9f9be165a15aeb4ec3ff75e1173d996a12a28c165d931e97f3"},"schema_version":"1.0","source":{"id":"1511.05058","kind":"arxiv","version":1}},"canonical_sha256":"0e645444013e3ca3ff0ad915583104757643abc84502b758cbf651b30286e8c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e645444013e3ca3ff0ad915583104757643abc84502b758cbf651b30286e8c9","first_computed_at":"2026-05-18T01:26:50.943137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:50.943137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SgUxdPSHab8H1CUfvdZe0Vr5OeCHptYo9SqFBlY1xkPuflP6zQ94rRhjgvM+FnjWDv9omGv6NXrXImfNgQm1DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:50.943896Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ea7ebe6b8794ecf95925e5b5ab0a76febcfa629c780aa1324f763dfc888d2be","sha256:bad794c39398225476079bef94c7b87ee73d926588210ab50b4f5d6dd3549e31"],"state_sha256":"48eae2c91cb1bdeeb92a1d70d2ee48604532de194cd33936211739ef69080ed7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QJcwKByobuT54VMx7fTR0iYYYi6j6koiN6LYRLNdMYDZKYz9q4b7pz/G047wW3F5yyNXzMNELjUcb3UlB/98CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:14:13.477148Z","bundle_sha256":"755f12f229294072ca56f0b5f439162d352aad576eadd29a82b1e9274720a73d"}}