{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LB33KHTQBUL5445NKBH7F7LO5W","short_pith_number":"pith:LB33KHTQ","canonical_record":{"source":{"id":"1301.7595","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-31T12:40:58Z","cross_cats_sorted":[],"title_canon_sha256":"56bab11fba1315e2e4a7f29203723aaad38a9b3954e06e87e4956dd056fa548d","abstract_canon_sha256":"86ff507440736fc9e2f8feafda7ea847a0826d563baff7fa2a77503179b0c552"},"schema_version":"1.0"},"canonical_sha256":"5877b51e700d17de73ad504ff2fd6eedb707f9fe6080b3518a2740d595b34480","source":{"kind":"arxiv","id":"1301.7595","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7595","created_at":"2026-05-18T03:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7595v4","created_at":"2026-05-18T03:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7595","created_at":"2026-05-18T03:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"LB33KHTQBUL5","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LB33KHTQBUL5445N","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LB33KHTQ","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LB33KHTQBUL5445NKBH7F7LO5W","target":"record","payload":{"canonical_record":{"source":{"id":"1301.7595","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-31T12:40:58Z","cross_cats_sorted":[],"title_canon_sha256":"56bab11fba1315e2e4a7f29203723aaad38a9b3954e06e87e4956dd056fa548d","abstract_canon_sha256":"86ff507440736fc9e2f8feafda7ea847a0826d563baff7fa2a77503179b0c552"},"schema_version":"1.0"},"canonical_sha256":"5877b51e700d17de73ad504ff2fd6eedb707f9fe6080b3518a2740d595b34480","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:51.484120Z","signature_b64":"NKDgN4gQVV5LIPkxrCL7napenzC6rR+hFxcVQNFXzvVtSeIVg44jxHIhEbRc2SEP7RiyY56f0RvC34NV2S50CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5877b51e700d17de73ad504ff2fd6eedb707f9fe6080b3518a2740d595b34480","last_reissued_at":"2026-05-18T03:18:51.483530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:51.483530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.7595","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:18:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTTYdNK5ieOPhGBes7KkwlbzB8aBp777gwi/626jPj7Ql26mFSLLmAncLoAvgMTNoiEvDfV+uiLo881B5rRBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:13:01.772810Z"},"content_sha256":"9a65ca68a65890bf96c60281bb92714712e268346bb8fae4c0c61f990d65e9ba","schema_version":"1.0","event_id":"sha256:9a65ca68a65890bf96c60281bb92714712e268346bb8fae4c0c61f990d65e9ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LB33KHTQBUL5445NKBH7F7LO5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stationary Bound States of Dirac Particles in the Schwarzschild Gravitational Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E.Yu. Popov, I.I. Safronov, M.A. Vronsky, M.V. Gorbatenko, N.S. Kolesnikov, V.P. Neznamov","submitted_at":"2013-01-31T12:40:58Z","abstract_excerpt":"Nondecaying bound states of elementary spin-half particles are validated and calculated numerically for the Schwarzschild gravitational field using a self-conjugate Hamiltonian with a flat scalar product for any value of the gravitational coupling constant. Hilbert condition g_{00}>0 leads to a boundary condition such that components of the vector of current density of Dirac particles are zero near the \"event horizon\". At small values of the coupling constant, the energy spectrum is close to the hydrogen-like spectrum. Based on the results of this study, we can assume that there exists a new t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7595","kind":"arxiv","version":4},"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":"2026-05-18T03:18:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hFhVPHvEcTcSr7Upl82LkLg1WKQTtOl09U9j/QZUETqfDZ2MYXEF4CbJiYTjg3MZK6OgQsOy2D8TAQE6k6F8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:13:01.773435Z"},"content_sha256":"935cda87760d18277c0734df087758dabb8975639ed6f31de669766af20d3fae","schema_version":"1.0","event_id":"sha256:935cda87760d18277c0734df087758dabb8975639ed6f31de669766af20d3fae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LB33KHTQBUL5445NKBH7F7LO5W/bundle.json","state_url":"https://pith.science/pith/LB33KHTQBUL5445NKBH7F7LO5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LB33KHTQBUL5445NKBH7F7LO5W/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":"2026-06-07T16:13:01Z","links":{"resolver":"https://pith.science/pith/LB33KHTQBUL5445NKBH7F7LO5W","bundle":"https://pith.science/pith/LB33KHTQBUL5445NKBH7F7LO5W/bundle.json","state":"https://pith.science/pith/LB33KHTQBUL5445NKBH7F7LO5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LB33KHTQBUL5445NKBH7F7LO5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LB33KHTQBUL5445NKBH7F7LO5W","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":"86ff507440736fc9e2f8feafda7ea847a0826d563baff7fa2a77503179b0c552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-31T12:40:58Z","title_canon_sha256":"56bab11fba1315e2e4a7f29203723aaad38a9b3954e06e87e4956dd056fa548d"},"schema_version":"1.0","source":{"id":"1301.7595","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7595","created_at":"2026-05-18T03:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7595v4","created_at":"2026-05-18T03:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7595","created_at":"2026-05-18T03:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"LB33KHTQBUL5","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LB33KHTQBUL5445N","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LB33KHTQ","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:935cda87760d18277c0734df087758dabb8975639ed6f31de669766af20d3fae","target":"graph","created_at":"2026-05-18T03:18:51Z","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":"Nondecaying bound states of elementary spin-half particles are validated and calculated numerically for the Schwarzschild gravitational field using a self-conjugate Hamiltonian with a flat scalar product for any value of the gravitational coupling constant. Hilbert condition g_{00}>0 leads to a boundary condition such that components of the vector of current density of Dirac particles are zero near the \"event horizon\". At small values of the coupling constant, the energy spectrum is close to the hydrogen-like spectrum. Based on the results of this study, we can assume that there exists a new t","authors_text":"E.Yu. Popov, I.I. Safronov, M.A. Vronsky, M.V. Gorbatenko, N.S. Kolesnikov, V.P. Neznamov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-31T12:40:58Z","title":"Stationary Bound States of Dirac Particles in the Schwarzschild Gravitational Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7595","kind":"arxiv","version":4},"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":"sha256:9a65ca68a65890bf96c60281bb92714712e268346bb8fae4c0c61f990d65e9ba","target":"record","created_at":"2026-05-18T03:18:51Z","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":"86ff507440736fc9e2f8feafda7ea847a0826d563baff7fa2a77503179b0c552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-31T12:40:58Z","title_canon_sha256":"56bab11fba1315e2e4a7f29203723aaad38a9b3954e06e87e4956dd056fa548d"},"schema_version":"1.0","source":{"id":"1301.7595","kind":"arxiv","version":4}},"canonical_sha256":"5877b51e700d17de73ad504ff2fd6eedb707f9fe6080b3518a2740d595b34480","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5877b51e700d17de73ad504ff2fd6eedb707f9fe6080b3518a2740d595b34480","first_computed_at":"2026-05-18T03:18:51.483530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:51.483530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NKDgN4gQVV5LIPkxrCL7napenzC6rR+hFxcVQNFXzvVtSeIVg44jxHIhEbRc2SEP7RiyY56f0RvC34NV2S50CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:51.484120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7595","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a65ca68a65890bf96c60281bb92714712e268346bb8fae4c0c61f990d65e9ba","sha256:935cda87760d18277c0734df087758dabb8975639ed6f31de669766af20d3fae"],"state_sha256":"63f2f89a05f375e10984c02c27aab6fd6c704bbb6e7e304ca09a7f02f89710b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Z9xWjeTHgTMKs086gTYju4mYGn3FMgEx7tBrH87SIVK6aFai6qXM3Bq5PWcfXzjMGIxi6Y4GcrsSQhmc9KoCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:13:01.776682Z","bundle_sha256":"b3e3fd532aa59dddc56cdc8c95a88708a6e7ab1c15fbfb9b373d60d4246c4a4e"}}