{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:EPSSEK7SJQBJASB2Q2R6P2K2U2","short_pith_number":"pith:EPSSEK7S","canonical_record":{"source":{"id":"gr-qc/9310007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1993-10-04T12:18:04Z","cross_cats_sorted":[],"title_canon_sha256":"a5c124adc4b31b68eb8cb20fcc3da2d906c23d67028b985f5dced59dd7c58722","abstract_canon_sha256":"80d38d6c91546cb29cb99c8e09f20dd6164b48f19df8006a842c57efaebca86e"},"schema_version":"1.0"},"canonical_sha256":"23e5222bf24c0290483a86a3e7e95aa68376f41f11c34eec4860091afe5c0cdc","source":{"kind":"arxiv","id":"gr-qc/9310007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9310007","created_at":"2026-05-18T04:37:57Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9310007v1","created_at":"2026-05-18T04:37:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9310007","created_at":"2026-05-18T04:37:57Z"},{"alias_kind":"pith_short_12","alias_value":"EPSSEK7SJQBJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"EPSSEK7SJQBJASB2","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"EPSSEK7S","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:EPSSEK7SJQBJASB2Q2R6P2K2U2","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9310007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1993-10-04T12:18:04Z","cross_cats_sorted":[],"title_canon_sha256":"a5c124adc4b31b68eb8cb20fcc3da2d906c23d67028b985f5dced59dd7c58722","abstract_canon_sha256":"80d38d6c91546cb29cb99c8e09f20dd6164b48f19df8006a842c57efaebca86e"},"schema_version":"1.0"},"canonical_sha256":"23e5222bf24c0290483a86a3e7e95aa68376f41f11c34eec4860091afe5c0cdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:57.410812Z","signature_b64":"9lZXO4ihYt7n91vKeBLcePdTDnmE5H+xW12IXCXKZCM9GVUHcks1xkUvDvyoi41nnLAQr9S3Sd0syh2x4zJaDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23e5222bf24c0290483a86a3e7e95aa68376f41f11c34eec4860091afe5c0cdc","last_reissued_at":"2026-05-18T04:37:57.410212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:57.410212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9310007","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":"2026-05-18T04:37:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7kVv3SeP/yzyUZ6qZ/RShpiQ+I7taUfwjLrwj3o9kFngJCeh5jaYSa6Z2FpiYKkotFV3bojLh5CAOP/oqHk/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:49:24.107848Z"},"content_sha256":"ff32d6f60cb9c0ee47af31f0dd5b920c99d14b45c9ddec1a2f26803b9058298b","schema_version":"1.0","event_id":"sha256:ff32d6f60cb9c0ee47af31f0dd5b920c99d14b45c9ddec1a2f26803b9058298b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:EPSSEK7SJQBJASB2Q2R6P2K2U2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"H. H. Soleng","submitted_at":"1993-10-04T12:18:04Z","abstract_excerpt":"The gravitational effect of vacuum polarization in space exterior to a particle in (2+1)-dimensional Einstein theory is investigated. In the weak field limit this gravitational field corresponds to an inverse square law of gravitational attraction, even though the gravitational mass of the quantum vacuum is negative. The paradox is resolved by considering a particle of finite extension and taking into account the vacuum polarization in its interior."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9310007","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":"2026-05-18T04:37:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kCS3C6lHId6yVotwEaEHRMW2wz9Koa3tHaEYHdFs2fAv1f8mbUgSFQDI0n2PwkefGXAamTiF6Oj9sWTCT6ouAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:49:24.108188Z"},"content_sha256":"45b2daf487218f92a24c5edf43531de0d9c85109096787ec059312effc5a552e","schema_version":"1.0","event_id":"sha256:45b2daf487218f92a24c5edf43531de0d9c85109096787ec059312effc5a552e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EPSSEK7SJQBJASB2Q2R6P2K2U2/bundle.json","state_url":"https://pith.science/pith/EPSSEK7SJQBJASB2Q2R6P2K2U2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EPSSEK7SJQBJASB2Q2R6P2K2U2/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":"2026-06-25T10:49:24Z","links":{"resolver":"https://pith.science/pith/EPSSEK7SJQBJASB2Q2R6P2K2U2","bundle":"https://pith.science/pith/EPSSEK7SJQBJASB2Q2R6P2K2U2/bundle.json","state":"https://pith.science/pith/EPSSEK7SJQBJASB2Q2R6P2K2U2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EPSSEK7SJQBJASB2Q2R6P2K2U2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:EPSSEK7SJQBJASB2Q2R6P2K2U2","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":"80d38d6c91546cb29cb99c8e09f20dd6164b48f19df8006a842c57efaebca86e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1993-10-04T12:18:04Z","title_canon_sha256":"a5c124adc4b31b68eb8cb20fcc3da2d906c23d67028b985f5dced59dd7c58722"},"schema_version":"1.0","source":{"id":"gr-qc/9310007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9310007","created_at":"2026-05-18T04:37:57Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9310007v1","created_at":"2026-05-18T04:37:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9310007","created_at":"2026-05-18T04:37:57Z"},{"alias_kind":"pith_short_12","alias_value":"EPSSEK7SJQBJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"EPSSEK7SJQBJASB2","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"EPSSEK7S","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:45b2daf487218f92a24c5edf43531de0d9c85109096787ec059312effc5a552e","target":"graph","created_at":"2026-05-18T04:37:57Z","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":"The gravitational effect of vacuum polarization in space exterior to a particle in (2+1)-dimensional Einstein theory is investigated. In the weak field limit this gravitational field corresponds to an inverse square law of gravitational attraction, even though the gravitational mass of the quantum vacuum is negative. The paradox is resolved by considering a particle of finite extension and taking into account the vacuum polarization in its interior.","authors_text":"H. H. Soleng","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1993-10-04T12:18:04Z","title":"Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9310007","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:ff32d6f60cb9c0ee47af31f0dd5b920c99d14b45c9ddec1a2f26803b9058298b","target":"record","created_at":"2026-05-18T04:37:57Z","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":"80d38d6c91546cb29cb99c8e09f20dd6164b48f19df8006a842c57efaebca86e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1993-10-04T12:18:04Z","title_canon_sha256":"a5c124adc4b31b68eb8cb20fcc3da2d906c23d67028b985f5dced59dd7c58722"},"schema_version":"1.0","source":{"id":"gr-qc/9310007","kind":"arxiv","version":1}},"canonical_sha256":"23e5222bf24c0290483a86a3e7e95aa68376f41f11c34eec4860091afe5c0cdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23e5222bf24c0290483a86a3e7e95aa68376f41f11c34eec4860091afe5c0cdc","first_computed_at":"2026-05-18T04:37:57.410212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:57.410212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9lZXO4ihYt7n91vKeBLcePdTDnmE5H+xW12IXCXKZCM9GVUHcks1xkUvDvyoi41nnLAQr9S3Sd0syh2x4zJaDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:57.410812Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9310007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff32d6f60cb9c0ee47af31f0dd5b920c99d14b45c9ddec1a2f26803b9058298b","sha256:45b2daf487218f92a24c5edf43531de0d9c85109096787ec059312effc5a552e"],"state_sha256":"94466225283ee02db716db932e1a5ed35223bfe6e9b5a1ab1409d14caf82aaa0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0oLUG9FM2DF4leK/Eb4xC/kILeqJqQCBKEZi2QMsZxU9lrJiDaZtPWNt/sC24M1DOW4Lq91V6rFe9tksGl0lDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:49:24.110116Z","bundle_sha256":"8a933b1e3a741204dd1118a54b6fb70b681e603596822653e308f6017a969b23"}}