{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:HCAWT6OVOKB5OSOJW4CBH2OOLU","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":"ab659d4f56367dcba872b4fe0e5cae5ea0f54719baab01901f53b48649e82106","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-10-19T07:58:12Z","title_canon_sha256":"7d33285dcae6910791f2e5525375e73c3482f76236090f4bd8ba03415a85d662"},"schema_version":"1.0","source":{"id":"gr-qc/0510086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0510086","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0510086v2","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0510086","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"HCAWT6OVOKB5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HCAWT6OVOKB5OSOJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HCAWT6OV","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:a5158c93b986a83c0c8d8b1e91b335390380184bd65b42195f5e249b590bf75b","target":"graph","created_at":"2026-05-17T23:52:34Z","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":"Ricci scalar is the key ingredient of non-Newtonian theory of gravity, where space-time geometry has a crucial role. Normally, it is supposed to be a geometrical field, but interestingly it also behaves like a physical field. Thus it plays dual role in the arena of gravitation. This article is an overview of the work related to dual roles of the Ricci scalar. A scalar is a mathematical concept representing a spinless particle.Here, particle concept, manifesting the physical aspect of the Ricci scalar, is termed as riccion.It is a scalar particle with (mass)$^2$ inversely proportional to the gr","authors_text":"S. K. Srivastava","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-10-19T07:58:12Z","title":"Dual Nature of the Ricci Scalar and its Certain Consequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0510086","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":"sha256:9cca1a954ac2313e77192f066f875935d59baa7ac7cb6b87e6db4d2b9abc0d31","target":"record","created_at":"2026-05-17T23:52:34Z","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":"ab659d4f56367dcba872b4fe0e5cae5ea0f54719baab01901f53b48649e82106","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-10-19T07:58:12Z","title_canon_sha256":"7d33285dcae6910791f2e5525375e73c3482f76236090f4bd8ba03415a85d662"},"schema_version":"1.0","source":{"id":"gr-qc/0510086","kind":"arxiv","version":2}},"canonical_sha256":"388169f9d57283d749c9b70413e9ce5d2b88f0751be5f4f86269efff0dfdf9c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"388169f9d57283d749c9b70413e9ce5d2b88f0751be5f4f86269efff0dfdf9c3","first_computed_at":"2026-05-17T23:52:34.641720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:34.641720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W25oUdyo50hfGwrGTuoY1laaji3NlSc6vv969ORXhf8HZI+FyG/GkHnALinkx1+r5k2RlyPlMpz/vMIVFngNAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:34.642087Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0510086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cca1a954ac2313e77192f066f875935d59baa7ac7cb6b87e6db4d2b9abc0d31","sha256:a5158c93b986a83c0c8d8b1e91b335390380184bd65b42195f5e249b590bf75b"],"state_sha256":"30303dbd8627cb7043000a1864dadf0734a6a664921cc9302b9ecbbcba5ebc6d"}