{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:JXBJZB2UCXC2LL4WN25JLF5TL3","short_pith_number":"pith:JXBJZB2U","canonical_record":{"source":{"id":"2505.06382","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-09T19:03:38Z","cross_cats_sorted":[],"title_canon_sha256":"310b74b3da79d368d6a02ee0f3b6d34414fa5979f8bb9fcde9f51591725268c0","abstract_canon_sha256":"d65cc25c28b1d55d6f22dfc7444be92312b86daf4094ba7b4284b9ce383dc6e3"},"schema_version":"1.0"},"canonical_sha256":"4dc29c875415c5a5af966eba9597b35ed6ddb43d7601d49ebb06bbfe184e1ac4","source":{"kind":"arxiv","id":"2505.06382","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.06382","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"2505.06382v2","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.06382","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"JXBJZB2UCXC2","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"pith_short_16","alias_value":"JXBJZB2UCXC2LL4W","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"pith_short_8","alias_value":"JXBJZB2U","created_at":"2026-07-05T11:10:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:JXBJZB2UCXC2LL4WN25JLF5TL3","target":"record","payload":{"canonical_record":{"source":{"id":"2505.06382","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-09T19:03:38Z","cross_cats_sorted":[],"title_canon_sha256":"310b74b3da79d368d6a02ee0f3b6d34414fa5979f8bb9fcde9f51591725268c0","abstract_canon_sha256":"d65cc25c28b1d55d6f22dfc7444be92312b86daf4094ba7b4284b9ce383dc6e3"},"schema_version":"1.0"},"canonical_sha256":"4dc29c875415c5a5af966eba9597b35ed6ddb43d7601d49ebb06bbfe184e1ac4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:10:56.348955Z","signature_b64":"cE4yURFqdbhlXxcHNlp1LMhbsRCPDiV2YGONTS9/KcG0F6l7J9KldFgskmkhFr9eR7Qg6CYf7wukJv9OONX4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4dc29c875415c5a5af966eba9597b35ed6ddb43d7601d49ebb06bbfe184e1ac4","last_reissued_at":"2026-07-05T11:10:56.348445Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:10:56.348445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.06382","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":"2026-07-05T11:10:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+p4e9IRrwrMYwRdnl31urMx48fSDyHrDoVnkps/DGMU0AWpzCzUMg2hYE+tmUm6nk0LdI0lnIem7nBYt54KBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:22:24.121744Z"},"content_sha256":"84f7676a907696c2d0cecf991c99d04fbd1676af05ef94669eb045801622bf21","schema_version":"1.0","event_id":"sha256:84f7676a907696c2d0cecf991c99d04fbd1676af05ef94669eb045801622bf21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:JXBJZB2UCXC2LL4WN25JLF5TL3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probing Weak-Force Corrections to Black Hole Geometry via Long Range Potentials: Feinberg-Sucher and Ferrer-Nowakowski Potentials","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ali \\\"Ovg\\\"un","submitted_at":"2025-05-09T19:03:38Z","abstract_excerpt":"We consider corrections to the Schwarzschild black hole metric arising from exotic long-range forces within quantum field theory frameworks. Specifically, we analyze two models: the Feinberg-Sucher potential for massless neutrinos and Ferrer-Nowakowski potentials for boson-mediated interactions at finite temperatures, yielding metric corrections with $r^{-5}$ and $r^{-3}$ dependencies. Using analytic expansions around the Schwarzschild photon sphere, we find that attractive potential corrections enhance gravitational lensing, enlarging the photon sphere and shadow radius, while repulsive poten"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.06382","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.06382/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:10:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f4fQqolYKLS65kcl3PQh1WUbPahHTOVAcpZhcF34p08P1y3AAGEccmavc7/kfeTKWgKZvabMxErVFWUqL+OMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:22:24.122295Z"},"content_sha256":"97d6b5a035f8f054993e069cd383d74a25b0fb88382d07c7c7297f9d6e2fa583","schema_version":"1.0","event_id":"sha256:97d6b5a035f8f054993e069cd383d74a25b0fb88382d07c7c7297f9d6e2fa583"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXBJZB2UCXC2LL4WN25JLF5TL3/bundle.json","state_url":"https://pith.science/pith/JXBJZB2UCXC2LL4WN25JLF5TL3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXBJZB2UCXC2LL4WN25JLF5TL3/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":"2026-08-16T07:22:24Z","links":{"resolver":"https://pith.science/pith/JXBJZB2UCXC2LL4WN25JLF5TL3","bundle":"https://pith.science/pith/JXBJZB2UCXC2LL4WN25JLF5TL3/bundle.json","state":"https://pith.science/pith/JXBJZB2UCXC2LL4WN25JLF5TL3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXBJZB2UCXC2LL4WN25JLF5TL3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JXBJZB2UCXC2LL4WN25JLF5TL3","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":"d65cc25c28b1d55d6f22dfc7444be92312b86daf4094ba7b4284b9ce383dc6e3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-09T19:03:38Z","title_canon_sha256":"310b74b3da79d368d6a02ee0f3b6d34414fa5979f8bb9fcde9f51591725268c0"},"schema_version":"1.0","source":{"id":"2505.06382","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.06382","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"2505.06382v2","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.06382","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"JXBJZB2UCXC2","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"pith_short_16","alias_value":"JXBJZB2UCXC2LL4W","created_at":"2026-07-05T11:10:56Z"},{"alias_kind":"pith_short_8","alias_value":"JXBJZB2U","created_at":"2026-07-05T11:10:56Z"}],"graph_snapshots":[{"event_id":"sha256:97d6b5a035f8f054993e069cd383d74a25b0fb88382d07c7c7297f9d6e2fa583","target":"graph","created_at":"2026-07-05T11:10:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.06382/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider corrections to the Schwarzschild black hole metric arising from exotic long-range forces within quantum field theory frameworks. Specifically, we analyze two models: the Feinberg-Sucher potential for massless neutrinos and Ferrer-Nowakowski potentials for boson-mediated interactions at finite temperatures, yielding metric corrections with $r^{-5}$ and $r^{-3}$ dependencies. Using analytic expansions around the Schwarzschild photon sphere, we find that attractive potential corrections enhance gravitational lensing, enlarging the photon sphere and shadow radius, while repulsive poten","authors_text":"Ali \\\"Ovg\\\"un","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-09T19:03:38Z","title":"Probing Weak-Force Corrections to Black Hole Geometry via Long Range Potentials: Feinberg-Sucher and Ferrer-Nowakowski Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.06382","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":"sha256:84f7676a907696c2d0cecf991c99d04fbd1676af05ef94669eb045801622bf21","target":"record","created_at":"2026-07-05T11:10:56Z","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":"d65cc25c28b1d55d6f22dfc7444be92312b86daf4094ba7b4284b9ce383dc6e3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-09T19:03:38Z","title_canon_sha256":"310b74b3da79d368d6a02ee0f3b6d34414fa5979f8bb9fcde9f51591725268c0"},"schema_version":"1.0","source":{"id":"2505.06382","kind":"arxiv","version":2}},"canonical_sha256":"4dc29c875415c5a5af966eba9597b35ed6ddb43d7601d49ebb06bbfe184e1ac4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dc29c875415c5a5af966eba9597b35ed6ddb43d7601d49ebb06bbfe184e1ac4","first_computed_at":"2026-07-05T11:10:56.348445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:10:56.348445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cE4yURFqdbhlXxcHNlp1LMhbsRCPDiV2YGONTS9/KcG0F6l7J9KldFgskmkhFr9eR7Qg6CYf7wukJv9OONX4AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:10:56.348955Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.06382","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84f7676a907696c2d0cecf991c99d04fbd1676af05ef94669eb045801622bf21","sha256:97d6b5a035f8f054993e069cd383d74a25b0fb88382d07c7c7297f9d6e2fa583"],"state_sha256":"ee0c970bac0059ae23ecd70f8f820ca66277a38c38b1b23cd4ce36f118ec5455"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVNzoks2vidFd1+kdiPcLDwoGrbujYCdKSlnaCNt1++rFEdf1qHkQRYyYYy1rwJbV2bqJmBZdOXCSKE6t7CUDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T07:22:24.127260Z","bundle_sha256":"c45c5f1e7eadbc8849b46dcc35aba19f021b09156322e7fd10f5c603706b05ee"}}