{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GIZ4E7ILK3QBBPJ5TODBA5W6FC","short_pith_number":"pith:GIZ4E7IL","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"},"canonical_sha256":"3233c27d0b56e010bd3d9b861076de2881c6507d7943411f9d041c43aed3c714","source":{"kind":"arxiv","id":"1809.08940","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.08940","created_at":"2026-05-17T23:59:01Z"},{"alias_kind":"arxiv_version","alias_value":"1809.08940v1","created_at":"2026-05-17T23:59:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08940","created_at":"2026-05-17T23:59:01Z"},{"alias_kind":"pith_short_12","alias_value":"GIZ4E7ILK3QB","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GIZ4E7ILK3QBBPJ5","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GIZ4E7IL","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GIZ4E7ILK3QBBPJ5TODBA5W6FC","target":"record","payload":{"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"},"canonical_sha256":"3233c27d0b56e010bd3d9b861076de2881c6507d7943411f9d041c43aed3c714","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"},"source_kind":"arxiv","source_id":"1809.08940","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":"2026-05-17T23:59:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMEDjAA+Mgfj22PeCp8A9yF4cLrqi4F7sHm2b5eIpnf0nwGFDIOfi4sYrim9niw7iSNhaCVBg9iRakWKuFUMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:19:29.324673Z"},"content_sha256":"9014d18f5a045f5f84dba3ab9140a6ce43d0fe756860673ed2a70884c01bec4a","schema_version":"1.0","event_id":"sha256:9014d18f5a045f5f84dba3ab9140a6ce43d0fe756860673ed2a70884c01bec4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GIZ4E7ILK3QBBPJ5TODBA5W6FC","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5EqZdpeOKcQ59f7Uxpe5zM4CHY/XWeOnmsyYOi7Gsrrg1YzJ6fdSOvqxhYYeUS0g4J7TLL2Kx95wrT1mCooYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:19:29.325334Z"},"content_sha256":"89cc86b82f5e928be317952c2d8cf6e2268dc6af6537ef840e6e2e789cd9f744","schema_version":"1.0","event_id":"sha256:89cc86b82f5e928be317952c2d8cf6e2268dc6af6537ef840e6e2e789cd9f744"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/bundle.json","state_url":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/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":"2026-06-07T14:19:29Z","links":{"resolver":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC","bundle":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/bundle.json","state":"https://pith.science/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GIZ4E7ILK3QBBPJ5TODBA5W6FC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GIZ4E7ILK3QBBPJ5TODBA5W6FC","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":"0bcb0794001d98f78aeeb6c55e7171037975b8d2b5f1a3fb851d631a69cbb156","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-09-21T15:47:46Z","title_canon_sha256":"4c27102896ea1b609f917554d933425b9a2cc345bf8fa1ee914d7f8e1da6359f"},"schema_version":"1.0","source":{"id":"1809.08940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.08940","created_at":"2026-05-17T23:59:01Z"},{"alias_kind":"arxiv_version","alias_value":"1809.08940v1","created_at":"2026-05-17T23:59:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08940","created_at":"2026-05-17T23:59:01Z"},{"alias_kind":"pith_short_12","alias_value":"GIZ4E7ILK3QB","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GIZ4E7ILK3QBBPJ5","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GIZ4E7IL","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:89cc86b82f5e928be317952c2d8cf6e2268dc6af6537ef840e6e2e789cd9f744","target":"graph","created_at":"2026-05-17T23:59:01Z","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":"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","authors_text":"I.I.Safronov, V.P.Neznamov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-09-21T15:47:46Z","title":"Stationary solutions of second-order equations for point fermions in the Schwarzschild gravitational field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08940","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":"sha256:9014d18f5a045f5f84dba3ab9140a6ce43d0fe756860673ed2a70884c01bec4a","target":"record","created_at":"2026-05-17T23:59:01Z","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":"0bcb0794001d98f78aeeb6c55e7171037975b8d2b5f1a3fb851d631a69cbb156","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-09-21T15:47:46Z","title_canon_sha256":"4c27102896ea1b609f917554d933425b9a2cc345bf8fa1ee914d7f8e1da6359f"},"schema_version":"1.0","source":{"id":"1809.08940","kind":"arxiv","version":1}},"canonical_sha256":"3233c27d0b56e010bd3d9b861076de2881c6507d7943411f9d041c43aed3c714","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3233c27d0b56e010bd3d9b861076de2881c6507d7943411f9d041c43aed3c714","first_computed_at":"2026-05-17T23:59:01.430497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:01.430497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cOCi8uT5L2NpKgj5KkGuXrwZAIxKmGIQSFRuomd1sWjM2I6kguOHq/jwdaVN48cikjEiHe2Ylec9+r5tA6z6Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:01.430980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.08940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9014d18f5a045f5f84dba3ab9140a6ce43d0fe756860673ed2a70884c01bec4a","sha256:89cc86b82f5e928be317952c2d8cf6e2268dc6af6537ef840e6e2e789cd9f744"],"state_sha256":"4ddcec6ee8c0f165a5c35c1f253966b9bfc4e5df9b57a2c19d91cbe81f974475"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XG/4SVzhfrXyoRzodFjh82Ba3KTF7ET9kdg+iXjlPyoW/h3dCfr/6rPBJidtsSIg9K/gji76J6yQxSKi31cnBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:19:29.327961Z","bundle_sha256":"7edde204df7b2f0cf57b61639a0035f4cbd7bacc93a86b1bb89a7c255b04294d"}}