{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:UUSRBMGSPFCGYNPUIU6WEDP4S6","short_pith_number":"pith:UUSRBMGS","canonical_record":{"source":{"id":"1808.07052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-21T15:58:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"38ffe6520fcd0844217cd52ae08c2c51e64ab4bf099ba858e8b5cfb6106ca91e","abstract_canon_sha256":"2c19dfe0c88ca5fa172046c97fbeb0f3a61735e4d8d658dec739cca7876b3cf8"},"schema_version":"1.0"},"canonical_sha256":"a52510b0d279446c35f4453d620dfc978b8ff3c5d889f70c188b2ca800dcb25b","source":{"kind":"arxiv","id":"1808.07052","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.07052","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"arxiv_version","alias_value":"1808.07052v1","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07052","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"pith_short_12","alias_value":"UUSRBMGSPFCG","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UUSRBMGSPFCGYNPU","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UUSRBMGS","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:UUSRBMGSPFCGYNPUIU6WEDP4S6","target":"record","payload":{"canonical_record":{"source":{"id":"1808.07052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-21T15:58:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"38ffe6520fcd0844217cd52ae08c2c51e64ab4bf099ba858e8b5cfb6106ca91e","abstract_canon_sha256":"2c19dfe0c88ca5fa172046c97fbeb0f3a61735e4d8d658dec739cca7876b3cf8"},"schema_version":"1.0"},"canonical_sha256":"a52510b0d279446c35f4453d620dfc978b8ff3c5d889f70c188b2ca800dcb25b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:05.283283Z","signature_b64":"4zrqQs9gKpiQoHc9HNU+rbYd0Afvy8uAAtEs+Lga/8Tu9MUWG9F/aIKohlidQh6q0Ktmdg4EVujdkWghhQXRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a52510b0d279446c35f4453d620dfc978b8ff3c5d889f70c188b2ca800dcb25b","last_reissued_at":"2026-05-18T00:07:05.282543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:05.282543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.07052","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":"2026-05-18T00:07:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MV4c7IWKx5RyPi1GKGTcjlOKvAmq21GWFllDHLWA833TK6tNLKMeR6alUmf37qXgutnjPe67RaSjsD2mf9juDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T07:59:17.374028Z"},"content_sha256":"a1be25092bb268764f6736e8da58a1c5d6ea6b7fbaba0d53488e222f40dfb08a","schema_version":"1.0","event_id":"sha256:a1be25092bb268764f6736e8da58a1c5d6ea6b7fbaba0d53488e222f40dfb08a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:UUSRBMGSPFCGYNPUIU6WEDP4S6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Atomic systems with bound states of fermions in the Schwarzschild, Reissner-Nordstr\\\"{o}m fields as candidates for the role of dark matters particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"I.I.Safronov, V.E.Shemarulin, V.P.Neznamov","submitted_at":"2018-08-21T15:58:32Z","abstract_excerpt":"After transition from the Dirac equation to the Schr\\\"{o}dinger-type relativistic equation with effective potentials of the Schwarzschild and Reissner-Nordstr\\\"{o}m (RN) fields, the existence of the stationary state of fermions with real square-integrable radial wave functions is proved. The fermions are localized near the event horizon within the range from zero to several fractions or a few units of the Compton wavelength of a fermion as a function of the gravitational and electromagnetic coupling constants and the angular and orbital momenta j,l. Electrically neutral atomic-type systems (Sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07052","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":"2026-05-18T00:07:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0y97b9Z+hj7Z0j5Spuc6cwQInDXtKUTZcvJyrmGKkqfjEiWvcSiY8UDaOFyVFguq0DAnlGuGyJO/ujrMtNQoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T07:59:17.374768Z"},"content_sha256":"840068a838978eb460765d882cdbce22da0fffd1a10b783083660a5173203ced","schema_version":"1.0","event_id":"sha256:840068a838978eb460765d882cdbce22da0fffd1a10b783083660a5173203ced"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UUSRBMGSPFCGYNPUIU6WEDP4S6/bundle.json","state_url":"https://pith.science/pith/UUSRBMGSPFCGYNPUIU6WEDP4S6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UUSRBMGSPFCGYNPUIU6WEDP4S6/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":"2026-06-08T07:59:17Z","links":{"resolver":"https://pith.science/pith/UUSRBMGSPFCGYNPUIU6WEDP4S6","bundle":"https://pith.science/pith/UUSRBMGSPFCGYNPUIU6WEDP4S6/bundle.json","state":"https://pith.science/pith/UUSRBMGSPFCGYNPUIU6WEDP4S6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UUSRBMGSPFCGYNPUIU6WEDP4S6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UUSRBMGSPFCGYNPUIU6WEDP4S6","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":"2c19dfe0c88ca5fa172046c97fbeb0f3a61735e4d8d658dec739cca7876b3cf8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-21T15:58:32Z","title_canon_sha256":"38ffe6520fcd0844217cd52ae08c2c51e64ab4bf099ba858e8b5cfb6106ca91e"},"schema_version":"1.0","source":{"id":"1808.07052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.07052","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"arxiv_version","alias_value":"1808.07052v1","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07052","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"pith_short_12","alias_value":"UUSRBMGSPFCG","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UUSRBMGSPFCGYNPU","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UUSRBMGS","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:840068a838978eb460765d882cdbce22da0fffd1a10b783083660a5173203ced","target":"graph","created_at":"2026-05-18T00:07:05Z","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":"After transition from the Dirac equation to the Schr\\\"{o}dinger-type relativistic equation with effective potentials of the Schwarzschild and Reissner-Nordstr\\\"{o}m (RN) fields, the existence of the stationary state of fermions with real square-integrable radial wave functions is proved. The fermions are localized near the event horizon within the range from zero to several fractions or a few units of the Compton wavelength of a fermion as a function of the gravitational and electromagnetic coupling constants and the angular and orbital momenta j,l. Electrically neutral atomic-type systems (Sc","authors_text":"I.I.Safronov, V.E.Shemarulin, V.P.Neznamov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-21T15:58:32Z","title":"Atomic systems with bound states of fermions in the Schwarzschild, Reissner-Nordstr\\\"{o}m fields as candidates for the role of dark matters particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07052","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:a1be25092bb268764f6736e8da58a1c5d6ea6b7fbaba0d53488e222f40dfb08a","target":"record","created_at":"2026-05-18T00:07:05Z","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":"2c19dfe0c88ca5fa172046c97fbeb0f3a61735e4d8d658dec739cca7876b3cf8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-21T15:58:32Z","title_canon_sha256":"38ffe6520fcd0844217cd52ae08c2c51e64ab4bf099ba858e8b5cfb6106ca91e"},"schema_version":"1.0","source":{"id":"1808.07052","kind":"arxiv","version":1}},"canonical_sha256":"a52510b0d279446c35f4453d620dfc978b8ff3c5d889f70c188b2ca800dcb25b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a52510b0d279446c35f4453d620dfc978b8ff3c5d889f70c188b2ca800dcb25b","first_computed_at":"2026-05-18T00:07:05.282543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:05.282543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4zrqQs9gKpiQoHc9HNU+rbYd0Afvy8uAAtEs+Lga/8Tu9MUWG9F/aIKohlidQh6q0Ktmdg4EVujdkWghhQXRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:05.283283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.07052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1be25092bb268764f6736e8da58a1c5d6ea6b7fbaba0d53488e222f40dfb08a","sha256:840068a838978eb460765d882cdbce22da0fffd1a10b783083660a5173203ced"],"state_sha256":"c3929c8b98c46895b48f3614ac01e3a7ac4d08f6322733cb1c96c1a727315946"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tx6ACwp+cSPo5du/TxIneea4dSkbDaemzs1NB4+VlPcZ82NJmWwOGcXrqDucjNVZTCofhxG4L+ABpiSS+EZ0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T07:59:17.378500Z","bundle_sha256":"7076680dd78a6cffb4f456498397c818ba6176a0df6ad0896b5af15a94b0403a"}}