{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:RZ4TDKFOTCIMHDJ6KAHABAJUUK","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":"667f4e9309287b0378ad705dac144a1e783bdf9e43e58bbfaf297ce8a83c8ff5","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-03-12T08:26:36Z","title_canon_sha256":"803f117db3d79b65b6959482c19b26c0f047e451c3f87bb533873081e28e8fcf"},"schema_version":"1.0","source":{"id":"gr-qc/0703067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0703067","created_at":"2026-07-04T15:16:38Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0703067v1","created_at":"2026-07-04T15:16:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0703067","created_at":"2026-07-04T15:16:38Z"},{"alias_kind":"pith_short_12","alias_value":"RZ4TDKFOTCIM","created_at":"2026-07-04T15:16:38Z"},{"alias_kind":"pith_short_16","alias_value":"RZ4TDKFOTCIMHDJ6","created_at":"2026-07-04T15:16:38Z"},{"alias_kind":"pith_short_8","alias_value":"RZ4TDKFO","created_at":"2026-07-04T15:16:38Z"}],"graph_snapshots":[{"event_id":"sha256:a5fe34c4607e9a71714a06590649a81b21fcbeb8480fb4e9a7ea636dfadba4b3","target":"graph","created_at":"2026-07-04T15:16:38Z","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/gr-qc/0703067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We search for spherically symmetric solutions of f(R) theories of gravity via the Noether Symmetry Approach. A general formalism in the metric framework is developed considering a point-like f(R)-Lagrangian where spherical symmetry is required. Examples of exact solutions are given.","authors_text":"A. Stabile, A. Troisi, S. Capozziello","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-03-12T08:26:36Z","title":"Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0703067","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":"sha256:7649d92d4c7b9facf597f0b532a96b0296d570327451a31d2fb68ee8a65ac083","target":"record","created_at":"2026-07-04T15:16:38Z","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":"667f4e9309287b0378ad705dac144a1e783bdf9e43e58bbfaf297ce8a83c8ff5","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-03-12T08:26:36Z","title_canon_sha256":"803f117db3d79b65b6959482c19b26c0f047e451c3f87bb533873081e28e8fcf"},"schema_version":"1.0","source":{"id":"gr-qc/0703067","kind":"arxiv","version":1}},"canonical_sha256":"8e7931a8ae9890c38d3e500e008134a2a00fbbfe051c7bf8fbe29adb024c02da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e7931a8ae9890c38d3e500e008134a2a00fbbfe051c7bf8fbe29adb024c02da","first_computed_at":"2026-07-04T15:16:38.516332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:16:38.516332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E3mC4pNor2cpCvyWcD8ykWXEH2I+v8xJ2dzBdsVGK7/UoOqX66/Ab8l7h0OLYNdTWSNYnfBU10ZF9TQ3AWgACw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:16:38.516761Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0703067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7649d92d4c7b9facf597f0b532a96b0296d570327451a31d2fb68ee8a65ac083","sha256:a5fe34c4607e9a71714a06590649a81b21fcbeb8480fb4e9a7ea636dfadba4b3"],"state_sha256":"8f29bce0258293786b87d14bd677e3ba55f4c2ed11c7c06e3a29e683b9d0f529"}