{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:74V72SYGAUGZA6TECSLAWSWOWE","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":"11d2b6c0b73ba6d38bdd535de73530100f516cdde2649b63fcebbb73803c696c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-06-30T04:38:30Z","title_canon_sha256":"07eb756638277cd4b6548a0c951a8e83ebe04b1d1836d0b048db1152ebc810ff"},"schema_version":"1.0","source":{"id":"0707.0042","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.0042","created_at":"2026-07-04T15:24:23Z"},{"alias_kind":"arxiv_version","alias_value":"0707.0042v2","created_at":"2026-07-04T15:24:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0042","created_at":"2026-07-04T15:24:23Z"},{"alias_kind":"pith_short_12","alias_value":"74V72SYGAUGZ","created_at":"2026-07-04T15:24:23Z"},{"alias_kind":"pith_short_16","alias_value":"74V72SYGAUGZA6TE","created_at":"2026-07-04T15:24:23Z"},{"alias_kind":"pith_short_8","alias_value":"74V72SYG","created_at":"2026-07-04T15:24:23Z"}],"graph_snapshots":[{"event_id":"sha256:9addbe5646f3e990a7b8e5937061eccdfe5b035527b2f6a65de039e6cf32d7fa","target":"graph","created_at":"2026-07-04T15:24:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0707.0042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When a charge is held static near a constant density spherical star, it experiences a self-force which is significantly different from the force it would experience when placed near a black hole of the same mass. In this paper, an expression for the self-force (as measured by a locally inertial observer) is given %explicitly calculated for an insulating Schwarzschild star, and the result is explicitly computed for the extreme density case, which has a singularity at its center. The force is found to be repulsive. A similar calculation of the self-force is also performed for a conducting star. ","authors_text":"Bernard F. Whiting, Karthik Shankar","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-06-30T04:38:30Z","title":"Self force of a static electric charge near a Schwarzschild Star"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0042","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":"sha256:75ca461fdd3093fca507718584102d9a75edb210336922c4d56070553a45db69","target":"record","created_at":"2026-07-04T15:24:23Z","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":"11d2b6c0b73ba6d38bdd535de73530100f516cdde2649b63fcebbb73803c696c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-06-30T04:38:30Z","title_canon_sha256":"07eb756638277cd4b6548a0c951a8e83ebe04b1d1836d0b048db1152ebc810ff"},"schema_version":"1.0","source":{"id":"0707.0042","kind":"arxiv","version":2}},"canonical_sha256":"ff2bfd4b06050d907a6414960b4aceb1049b6a59fe49c49255acc3e83a831cef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff2bfd4b06050d907a6414960b4aceb1049b6a59fe49c49255acc3e83a831cef","first_computed_at":"2026-07-04T15:24:23.558428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:24:23.558428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LGo3CPBSTE2G0I0gcPDDzGJymOxf6FMVYTBmxf4Gwt+U82nrrM+sEJFKZCFP69BONd6tcQ9og+olAjp3XbLPAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:24:23.558835Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.0042","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75ca461fdd3093fca507718584102d9a75edb210336922c4d56070553a45db69","sha256:9addbe5646f3e990a7b8e5937061eccdfe5b035527b2f6a65de039e6cf32d7fa"],"state_sha256":"ff9bcc4a8fcbe62ba010f0651e10f3182f05965ecea107df167155d18e44ce81"}