{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:RWM267G7I3SU2VZ7BZEOMBK26S","short_pith_number":"pith:RWM267G7","canonical_record":{"source":{"id":"gr-qc/0209090","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-09-24T15:13:45Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"09244338e279ab3f44d2f11f776509e899aa330c8906f7508dd959aa80aaf82e","abstract_canon_sha256":"c6e0d80a7c24f852eead85fd52098993d654ee7f2ac653b09fb85e481b4aab13"},"schema_version":"1.0"},"canonical_sha256":"8d99af7cdf46e54d573f0e48e6055af4a7b7fea9d6fa54d9226c8dd704ec1499","source":{"kind":"arxiv","id":"gr-qc/0209090","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0209090","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0209090v2","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0209090","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"RWM267G7I3SU","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"RWM267G7I3SU2VZ7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"RWM267G7","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:RWM267G7I3SU2VZ7BZEOMBK26S","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0209090","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-09-24T15:13:45Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"09244338e279ab3f44d2f11f776509e899aa330c8906f7508dd959aa80aaf82e","abstract_canon_sha256":"c6e0d80a7c24f852eead85fd52098993d654ee7f2ac653b09fb85e481b4aab13"},"schema_version":"1.0"},"canonical_sha256":"8d99af7cdf46e54d573f0e48e6055af4a7b7fea9d6fa54d9226c8dd704ec1499","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:23.624566Z","signature_b64":"Wt0n99ypSvL8CwNzoEvLhmSHuSIKjWFVlJLruqiVFjdHwGRJyupf27mwunX5C9Ltww0q/K2WqzSxaOknfifpDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d99af7cdf46e54d573f0e48e6055af4a7b7fea9d6fa54d9226c8dd704ec1499","last_reissued_at":"2026-05-18T04:19:23.624142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:23.624142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0209090","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:19:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZY3wOVtUPdMxaGSgK4ETTbkO5ezlASDAkU+Z/SBjIueNdgvrGl1yPnRrzF6Egzh1i4q+S06xDcncfytCu+U4CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:47:39.250710Z"},"content_sha256":"6df47a3db345c477c493be432989e3166b79feadf6a565badd024ba55fe2e344","schema_version":"1.0","event_id":"sha256:6df47a3db345c477c493be432989e3166b79feadf6a565badd024ba55fe2e344"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:RWM267G7I3SU2VZ7BZEOMBK26S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bound states and decay times of fermions in a Schwarzschild black hole background","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Alejandro Caceres, Anthony Lasenby, Chris Doran, Jonathan Pritchard, Sam Dolan","submitted_at":"2002-09-24T15:13:45Z","abstract_excerpt":"We compute the spectrum of normalizable fermion bound states in a Schwarzschild black hole background. The eigenstates have complex energies. The real part of the energies, for small couplings, closely follow a hydrogen-like spectrum. The imaginary parts give decay times for the various states, due to the absorption properties of the hole, with states closer to the hole having shorter half-lives. As the coupling increases, the spectrum departs from that of the hydrogen atom, as states close to the horizon become unfavourable. Beyond a certain coupling the 1S1/2 state is no longer the ground st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0209090","kind":"arxiv","version":2},"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":"2026-05-18T04:19:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCjZRDm2O0Ms335Ul1LVNcJfJAjZ9fJaqLmDr8A24jhEIAHURedqvo6DxJVAzvmjvP71jEJr1gYaVgL9FA2EDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:47:39.251052Z"},"content_sha256":"44d2fe97ff1ff1ec0bd99cc648d302e961a3e326ff274e0ccad1cc0d9d57b9aa","schema_version":"1.0","event_id":"sha256:44d2fe97ff1ff1ec0bd99cc648d302e961a3e326ff274e0ccad1cc0d9d57b9aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RWM267G7I3SU2VZ7BZEOMBK26S/bundle.json","state_url":"https://pith.science/pith/RWM267G7I3SU2VZ7BZEOMBK26S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RWM267G7I3SU2VZ7BZEOMBK26S/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":"2026-05-28T14:47:39Z","links":{"resolver":"https://pith.science/pith/RWM267G7I3SU2VZ7BZEOMBK26S","bundle":"https://pith.science/pith/RWM267G7I3SU2VZ7BZEOMBK26S/bundle.json","state":"https://pith.science/pith/RWM267G7I3SU2VZ7BZEOMBK26S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RWM267G7I3SU2VZ7BZEOMBK26S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:RWM267G7I3SU2VZ7BZEOMBK26S","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":"c6e0d80a7c24f852eead85fd52098993d654ee7f2ac653b09fb85e481b4aab13","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-09-24T15:13:45Z","title_canon_sha256":"09244338e279ab3f44d2f11f776509e899aa330c8906f7508dd959aa80aaf82e"},"schema_version":"1.0","source":{"id":"gr-qc/0209090","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0209090","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0209090v2","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0209090","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"RWM267G7I3SU","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"RWM267G7I3SU2VZ7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"RWM267G7","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:44d2fe97ff1ff1ec0bd99cc648d302e961a3e326ff274e0ccad1cc0d9d57b9aa","target":"graph","created_at":"2026-05-18T04:19:23Z","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":"We compute the spectrum of normalizable fermion bound states in a Schwarzschild black hole background. The eigenstates have complex energies. The real part of the energies, for small couplings, closely follow a hydrogen-like spectrum. The imaginary parts give decay times for the various states, due to the absorption properties of the hole, with states closer to the hole having shorter half-lives. As the coupling increases, the spectrum departs from that of the hydrogen atom, as states close to the horizon become unfavourable. Beyond a certain coupling the 1S1/2 state is no longer the ground st","authors_text":"Alejandro Caceres, Anthony Lasenby, Chris Doran, Jonathan Pritchard, Sam Dolan","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-09-24T15:13:45Z","title":"Bound states and decay times of fermions in a Schwarzschild black hole background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0209090","kind":"arxiv","version":2},"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":"sha256:6df47a3db345c477c493be432989e3166b79feadf6a565badd024ba55fe2e344","target":"record","created_at":"2026-05-18T04:19:23Z","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":"c6e0d80a7c24f852eead85fd52098993d654ee7f2ac653b09fb85e481b4aab13","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-09-24T15:13:45Z","title_canon_sha256":"09244338e279ab3f44d2f11f776509e899aa330c8906f7508dd959aa80aaf82e"},"schema_version":"1.0","source":{"id":"gr-qc/0209090","kind":"arxiv","version":2}},"canonical_sha256":"8d99af7cdf46e54d573f0e48e6055af4a7b7fea9d6fa54d9226c8dd704ec1499","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d99af7cdf46e54d573f0e48e6055af4a7b7fea9d6fa54d9226c8dd704ec1499","first_computed_at":"2026-05-18T04:19:23.624142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:23.624142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wt0n99ypSvL8CwNzoEvLhmSHuSIKjWFVlJLruqiVFjdHwGRJyupf27mwunX5C9Ltww0q/K2WqzSxaOknfifpDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:23.624566Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0209090","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6df47a3db345c477c493be432989e3166b79feadf6a565badd024ba55fe2e344","sha256:44d2fe97ff1ff1ec0bd99cc648d302e961a3e326ff274e0ccad1cc0d9d57b9aa"],"state_sha256":"7c9c84c399e4d0faf34c8ede4a5866321f0ad3839b36021e0225cd130d649182"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RGWzdbNmZTmnL0iXeL6cgyubU8wog4/zO+8+PXsqo3wJZZ2QJAYAYKV+jEAcpTIiJj/LjY9kJSul4eKobkQ7Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:47:39.252952Z","bundle_sha256":"b7912ea10b25d7473c2cb7f7c3b8738f1f88d261c496b549daf3de8439bf198a"}}