{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GIZ4E7ILK3QBBPJ5TODBA5W6FC","short_pith_number":"pith:GIZ4E7IL","schema_version":"1.0","canonical_sha256":"3233c27d0b56e010bd3d9b861076de2881c6507d7943411f9d041c43aed3c714","source":{"kind":"arxiv","id":"1809.08940","version":1},"attestation_state":"computed","paper":{"title":"Stationary solutions of second-order equations for point fermions in the Schwarzschild gravitational field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"I.I.Safronov, V.P.Neznamov","submitted_at":"2018-09-21T15:47:46Z","abstract_excerpt":"When using a second-order Schr\\\"odinger-type equation with the effective potential of the Schwarzschild field, existence of a stationary state of half-spin particles with energy $E=0$ is proved. For each of the values of quantum numbers $j,l$, the physically meaningful energy $E=0$ (the binding energy is $E_{b}=mc^{2}$) is implemented at the value of the gravitational coupling constant $\\alpha\\geq\\alpha_{min}$. The particles with $E=0$ are, with the overwhelming probability, at some distance from the event horizon within the range from zero to several fractions of Compton wavelength of a fermi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.08940","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-09-21T15:47:46Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4c27102896ea1b609f917554d933425b9a2cc345bf8fa1ee914d7f8e1da6359f","abstract_canon_sha256":"0bcb0794001d98f78aeeb6c55e7171037975b8d2b5f1a3fb851d631a69cbb156"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:01.430980Z","signature_b64":"cOCi8uT5L2NpKgj5KkGuXrwZAIxKmGIQSFRuomd1sWjM2I6kguOHq/jwdaVN48cikjEiHe2Ylec9+r5tA6z6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3233c27d0b56e010bd3d9b861076de2881c6507d7943411f9d041c43aed3c714","last_reissued_at":"2026-05-17T23:59:01.430497Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:01.430497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stationary solutions of second-order equations for point fermions in the Schwarzschild gravitational field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"I.I.Safronov, V.P.Neznamov","submitted_at":"2018-09-21T15:47:46Z","abstract_excerpt":"When using a second-order Schr\\\"odinger-type equation with the effective potential of the Schwarzschild field, existence of a stationary state of half-spin particles with energy $E=0$ is proved. For each of the values of quantum numbers $j,l$, the physically meaningful energy $E=0$ (the binding energy is $E_{b}=mc^{2}$) is implemented at the value of the gravitational coupling constant $\\alpha\\geq\\alpha_{min}$. The particles with $E=0$ are, with the overwhelming probability, at some distance from the event horizon within the range from zero to several fractions of Compton wavelength of a fermi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08940","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.08940","created_at":"2026-05-17T23:59:01.430561+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.08940v1","created_at":"2026-05-17T23:59:01.430561+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08940","created_at":"2026-05-17T23:59:01.430561+00:00"},{"alias_kind":"pith_short_12","alias_value":"GIZ4E7ILK3QB","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GIZ4E7ILK3QBBPJ5","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GIZ4E7IL","created_at":"2026-05-18T12:32:25.280505+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.03579","citing_title":"Second-order stationary solutions for fermions in an external Coulomb field","ref_index":3,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC","json":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC.json","graph_json":"https://pith.science/api/pith-number/GIZ4E7ILK3QBBPJ5TODBA5W6FC/graph.json","events_json":"https://pith.science/api/pith-number/GIZ4E7ILK3QBBPJ5TODBA5W6FC/events.json","paper":"https://pith.science/paper/GIZ4E7IL"},"agent_actions":{"view_html":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC","download_json":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC.json","view_paper":"https://pith.science/paper/GIZ4E7IL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.08940&json=true","fetch_graph":"https://pith.science/api/pith-number/GIZ4E7ILK3QBBPJ5TODBA5W6FC/graph.json","fetch_events":"https://pith.science/api/pith-number/GIZ4E7ILK3QBBPJ5TODBA5W6FC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/action/storage_attestation","attest_author":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/action/author_attestation","sign_citation":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/action/citation_signature","submit_replication":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/action/replication_record"}},"created_at":"2026-05-17T23:59:01.430561+00:00","updated_at":"2026-05-17T23:59:01.430561+00:00"}