{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:GO5OX6YYP5BSJFUUNJBMSHYWDF","short_pith_number":"pith:GO5OX6YY","canonical_record":{"source":{"id":"2203.05415","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-03-10T15:11:51Z","cross_cats_sorted":[],"title_canon_sha256":"481aa99012fce16798ebf54f4bc9d8c2d31ac26ef740580a3e6f6f8fa50d9bfd","abstract_canon_sha256":"e5cfb4179c71383e6fe9efd2aaca88063ef3869440d4b2b4883226250c0f226e"},"schema_version":"1.0"},"canonical_sha256":"33baebfb187f432496946a42c91f1619706af3d317a56cf860fbcef6cc69defb","source":{"kind":"arxiv","id":"2203.05415","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.05415","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"2203.05415v2","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.05415","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"GO5OX6YYP5BS","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"pith_short_16","alias_value":"GO5OX6YYP5BSJFUU","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"pith_short_8","alias_value":"GO5OX6YY","created_at":"2026-07-05T06:56:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:GO5OX6YYP5BSJFUUNJBMSHYWDF","target":"record","payload":{"canonical_record":{"source":{"id":"2203.05415","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-03-10T15:11:51Z","cross_cats_sorted":[],"title_canon_sha256":"481aa99012fce16798ebf54f4bc9d8c2d31ac26ef740580a3e6f6f8fa50d9bfd","abstract_canon_sha256":"e5cfb4179c71383e6fe9efd2aaca88063ef3869440d4b2b4883226250c0f226e"},"schema_version":"1.0"},"canonical_sha256":"33baebfb187f432496946a42c91f1619706af3d317a56cf860fbcef6cc69defb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:56:19.864948Z","signature_b64":"jIYOcKErqwkmO7wRAuFNBgzgxdFvjeFGKyq7U8Q/fM5vUlD0ngZ7RKSA5gXjfrNNLlcwg5ERKmyXqfRLUegFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33baebfb187f432496946a42c91f1619706af3d317a56cf860fbcef6cc69defb","last_reissued_at":"2026-07-05T06:56:19.864559Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:56:19.864559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.05415","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":"2026-07-05T06:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KwiqWEgU0AcZn/tBzmd/hnnBqqema9C7jGFLno7WYTUIEtGJm7OB1JoKJivvmAGteBtGGVKA6JWMugFneujlCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:10:48.509153Z"},"content_sha256":"84bae4d9c363c9df593f57f061e2ad3998cf924bada66f3696f1511fcfe70b34","schema_version":"1.0","event_id":"sha256:84bae4d9c363c9df593f57f061e2ad3998cf924bada66f3696f1511fcfe70b34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:GO5OX6YYP5BSJFUUNJBMSHYWDF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of electric interaction on the deflection and gravitational lensing in the strong field limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Junji Jia, Muchun Chen, Shangjie Zhou","submitted_at":"2022-03-10T15:11:51Z","abstract_excerpt":"The deflection angle $\\Delta\\phi$ of charged signals in general charged spacetime in the strong field limit is analyzed in this work using a perturbative method generalized from the neutral signal case. The solved $\\Delta\\phi$ naturally contains the finite distance effect and takes a quasi-power series form with a logarithmic divergence at the leading order. The coefficients of the series contain both the gravitational and electric contributions. Using the Reissner-Nordstr\\\"{o}m spacetime as an example, we found that an electric repulsion (or attraction) tends to decrease (or increase) the cri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.05415","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/2203.05415/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":"2026-07-05T06:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oHtRidkf5G2wWYwXBCZi/nagtUD13oT9ebpr3mRZUbgH/SIyCnzSBubQ+6QRUPZFmYKwPRBoEEw/W4/MRaGuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:10:48.510045Z"},"content_sha256":"7ba751cb2fe4073d35fe2c2a02f4e8555a238c0ec766c52544e484e0713bb154","schema_version":"1.0","event_id":"sha256:7ba751cb2fe4073d35fe2c2a02f4e8555a238c0ec766c52544e484e0713bb154"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GO5OX6YYP5BSJFUUNJBMSHYWDF/bundle.json","state_url":"https://pith.science/pith/GO5OX6YYP5BSJFUUNJBMSHYWDF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GO5OX6YYP5BSJFUUNJBMSHYWDF/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":"2026-08-05T11:10:48Z","links":{"resolver":"https://pith.science/pith/GO5OX6YYP5BSJFUUNJBMSHYWDF","bundle":"https://pith.science/pith/GO5OX6YYP5BSJFUUNJBMSHYWDF/bundle.json","state":"https://pith.science/pith/GO5OX6YYP5BSJFUUNJBMSHYWDF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GO5OX6YYP5BSJFUUNJBMSHYWDF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GO5OX6YYP5BSJFUUNJBMSHYWDF","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":"e5cfb4179c71383e6fe9efd2aaca88063ef3869440d4b2b4883226250c0f226e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-03-10T15:11:51Z","title_canon_sha256":"481aa99012fce16798ebf54f4bc9d8c2d31ac26ef740580a3e6f6f8fa50d9bfd"},"schema_version":"1.0","source":{"id":"2203.05415","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.05415","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"2203.05415v2","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.05415","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"GO5OX6YYP5BS","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"pith_short_16","alias_value":"GO5OX6YYP5BSJFUU","created_at":"2026-07-05T06:56:19Z"},{"alias_kind":"pith_short_8","alias_value":"GO5OX6YY","created_at":"2026-07-05T06:56:19Z"}],"graph_snapshots":[{"event_id":"sha256:7ba751cb2fe4073d35fe2c2a02f4e8555a238c0ec766c52544e484e0713bb154","target":"graph","created_at":"2026-07-05T06:56:19Z","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/2203.05415/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The deflection angle $\\Delta\\phi$ of charged signals in general charged spacetime in the strong field limit is analyzed in this work using a perturbative method generalized from the neutral signal case. The solved $\\Delta\\phi$ naturally contains the finite distance effect and takes a quasi-power series form with a logarithmic divergence at the leading order. The coefficients of the series contain both the gravitational and electric contributions. Using the Reissner-Nordstr\\\"{o}m spacetime as an example, we found that an electric repulsion (or attraction) tends to decrease (or increase) the cri","authors_text":"Junji Jia, Muchun Chen, Shangjie Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-03-10T15:11:51Z","title":"Effect of electric interaction on the deflection and gravitational lensing in the strong field limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.05415","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":"sha256:84bae4d9c363c9df593f57f061e2ad3998cf924bada66f3696f1511fcfe70b34","target":"record","created_at":"2026-07-05T06:56:19Z","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":"e5cfb4179c71383e6fe9efd2aaca88063ef3869440d4b2b4883226250c0f226e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-03-10T15:11:51Z","title_canon_sha256":"481aa99012fce16798ebf54f4bc9d8c2d31ac26ef740580a3e6f6f8fa50d9bfd"},"schema_version":"1.0","source":{"id":"2203.05415","kind":"arxiv","version":2}},"canonical_sha256":"33baebfb187f432496946a42c91f1619706af3d317a56cf860fbcef6cc69defb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33baebfb187f432496946a42c91f1619706af3d317a56cf860fbcef6cc69defb","first_computed_at":"2026-07-05T06:56:19.864559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:56:19.864559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jIYOcKErqwkmO7wRAuFNBgzgxdFvjeFGKyq7U8Q/fM5vUlD0ngZ7RKSA5gXjfrNNLlcwg5ERKmyXqfRLUegFCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:56:19.864948Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.05415","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84bae4d9c363c9df593f57f061e2ad3998cf924bada66f3696f1511fcfe70b34","sha256:7ba751cb2fe4073d35fe2c2a02f4e8555a238c0ec766c52544e484e0713bb154"],"state_sha256":"4d661d1300ddaf21afbcfb8c0d29f56817dc539b30cd14cedd9418edbe97bb02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qgbvGBL2zUlQL9tUoZg3PyEPHngzV3hsanRv/54QR2rNtgPl4fubHxqT71q8pXnxacqjva9Km3O+/2koj5quCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T11:10:48.517678Z","bundle_sha256":"a5339d130ed402379841352984478dd0edc125817da51752e1b30868c445bd22"}}