{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:4PHQNTI7BRAZQPV6ADIGGWFLHX","short_pith_number":"pith:4PHQNTI7","canonical_record":{"source":{"id":"gr-qc/9611066","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-11-27T21:48:11Z","cross_cats_sorted":[],"title_canon_sha256":"676b9c28060b89de1a5e81754f1a82bf363aca5e9e677bf6d43018668d6cd13a","abstract_canon_sha256":"743713f13bb98bfd0a1cc69e80e9529eeada2b05e0d64ed664810acd6e2a2f9a"},"schema_version":"1.0"},"canonical_sha256":"e3cf06cd1f0c41983ebe00d06358ab3dd4e19cfc045a797be166c56a88a99428","source":{"kind":"arxiv","id":"gr-qc/9611066","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9611066","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9611066v1","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9611066","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"4PHQNTI7BRAZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4PHQNTI7BRAZQPV6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4PHQNTI7","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:4PHQNTI7BRAZQPV6ADIGGWFLHX","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9611066","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-11-27T21:48:11Z","cross_cats_sorted":[],"title_canon_sha256":"676b9c28060b89de1a5e81754f1a82bf363aca5e9e677bf6d43018668d6cd13a","abstract_canon_sha256":"743713f13bb98bfd0a1cc69e80e9529eeada2b05e0d64ed664810acd6e2a2f9a"},"schema_version":"1.0"},"canonical_sha256":"e3cf06cd1f0c41983ebe00d06358ab3dd4e19cfc045a797be166c56a88a99428","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:52.614395Z","signature_b64":"Od2oMQERxUXWO77djzD+yE/zSkGEyJSY2hjNXb9NLoEMmH85AuWBdv33N+u4av4OeDUbTEJlt2iwqSLkyrhqAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3cf06cd1f0c41983ebe00d06358ab3dd4e19cfc045a797be166c56a88a99428","last_reissued_at":"2026-05-18T04:17:52.613953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:52.613953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9611066","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":"2026-05-18T04:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UM4qf3NOhG1tYVLor8OIwmGYN8CBNHJZD3B3JanAoGnEUT+2rQAPuy8i7Ve84u4Gm4BextdVpuqjXr0a8RiRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:25:37.821022Z"},"content_sha256":"8598b866fbeb638ff95b7818de84a98d950f2eec5d73ef6855ae64bb306296d6","schema_version":"1.0","event_id":"sha256:8598b866fbeb638ff95b7818de84a98d950f2eec5d73ef6855ae64bb306296d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:4PHQNTI7BRAZQPV6ADIGGWFLHX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electrostatic Equilibrium of Two Spherical Charged Masses in General Relativity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"F. I. Cooperstock, G. P. Perry","submitted_at":"1996-11-27T21:48:11Z","abstract_excerpt":"Approximate solutions representing the gravitational-electrostatic balance of two arbitrary point sources in general relativity have led to contradictory arguments in the literature with respect to the condition of balance. Up to the present time, the only known exact solutions which can be interpreted as the non-linear superposition of two spherically symmetric (Reissner-Nordstrom) bodies without an intervening strut has been for critically charged masses, $M^2_i = Q^2_i$. In the present paper, an exact electrostatic solution of the Einstein-Maxwell equations representing the exterior field o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9611066","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":"2026-05-18T04:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z/IUDN8kqfskl691UposSIF1LodgF0eVDKUYd/q32nrVoDUS76UwZebTNxCtDBz6khLhoTL35kbHS5Cjuz2iAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:25:37.821681Z"},"content_sha256":"4b18ce00f6e31e8a77174e1b43acbc64adde1bd4f981e49737dc5e1084a26ed6","schema_version":"1.0","event_id":"sha256:4b18ce00f6e31e8a77174e1b43acbc64adde1bd4f981e49737dc5e1084a26ed6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4PHQNTI7BRAZQPV6ADIGGWFLHX/bundle.json","state_url":"https://pith.science/pith/4PHQNTI7BRAZQPV6ADIGGWFLHX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4PHQNTI7BRAZQPV6ADIGGWFLHX/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":"2026-05-28T18:25:37Z","links":{"resolver":"https://pith.science/pith/4PHQNTI7BRAZQPV6ADIGGWFLHX","bundle":"https://pith.science/pith/4PHQNTI7BRAZQPV6ADIGGWFLHX/bundle.json","state":"https://pith.science/pith/4PHQNTI7BRAZQPV6ADIGGWFLHX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4PHQNTI7BRAZQPV6ADIGGWFLHX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:4PHQNTI7BRAZQPV6ADIGGWFLHX","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":"743713f13bb98bfd0a1cc69e80e9529eeada2b05e0d64ed664810acd6e2a2f9a","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-11-27T21:48:11Z","title_canon_sha256":"676b9c28060b89de1a5e81754f1a82bf363aca5e9e677bf6d43018668d6cd13a"},"schema_version":"1.0","source":{"id":"gr-qc/9611066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9611066","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9611066v1","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9611066","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"4PHQNTI7BRAZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4PHQNTI7BRAZQPV6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4PHQNTI7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:4b18ce00f6e31e8a77174e1b43acbc64adde1bd4f981e49737dc5e1084a26ed6","target":"graph","created_at":"2026-05-18T04:17:52Z","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":"Approximate solutions representing the gravitational-electrostatic balance of two arbitrary point sources in general relativity have led to contradictory arguments in the literature with respect to the condition of balance. Up to the present time, the only known exact solutions which can be interpreted as the non-linear superposition of two spherically symmetric (Reissner-Nordstrom) bodies without an intervening strut has been for critically charged masses, $M^2_i = Q^2_i$. In the present paper, an exact electrostatic solution of the Einstein-Maxwell equations representing the exterior field o","authors_text":"F. I. Cooperstock, G. P. Perry","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1996-11-27T21:48:11Z","title":"Electrostatic Equilibrium of Two Spherical Charged Masses in General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9611066","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":"sha256:8598b866fbeb638ff95b7818de84a98d950f2eec5d73ef6855ae64bb306296d6","target":"record","created_at":"2026-05-18T04:17:52Z","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":"743713f13bb98bfd0a1cc69e80e9529eeada2b05e0d64ed664810acd6e2a2f9a","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-11-27T21:48:11Z","title_canon_sha256":"676b9c28060b89de1a5e81754f1a82bf363aca5e9e677bf6d43018668d6cd13a"},"schema_version":"1.0","source":{"id":"gr-qc/9611066","kind":"arxiv","version":1}},"canonical_sha256":"e3cf06cd1f0c41983ebe00d06358ab3dd4e19cfc045a797be166c56a88a99428","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3cf06cd1f0c41983ebe00d06358ab3dd4e19cfc045a797be166c56a88a99428","first_computed_at":"2026-05-18T04:17:52.613953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:52.613953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Od2oMQERxUXWO77djzD+yE/zSkGEyJSY2hjNXb9NLoEMmH85AuWBdv33N+u4av4OeDUbTEJlt2iwqSLkyrhqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:52.614395Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9611066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8598b866fbeb638ff95b7818de84a98d950f2eec5d73ef6855ae64bb306296d6","sha256:4b18ce00f6e31e8a77174e1b43acbc64adde1bd4f981e49737dc5e1084a26ed6"],"state_sha256":"04d4cbe62173e0aabb384bd57740d469da517fdef215a6cb4d0c578fb127edb9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vit8M/4nmmOLpUHv5c7M7Su3wseFtcgxHWmae0DxoEu2/QLViWYefwKnsGf2Md9/SKgIVyC1OKnzC7iZFqdxAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:25:37.825170Z","bundle_sha256":"66f8386e1d4ab9df1d9f547c1eb7a9ec377ed51a140fe7bb840c9dd30fc7a34f"}}