{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DTVJMFF6JUNHFSMZORYTHE7XD6","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":"de2e940b7f68c6988eba19be74d8383a5c9dbc5f9fe5eba919569053de7a3264","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-12T16:13:47Z","title_canon_sha256":"c5b344031481e496040bad9fa6d79ee55c447bbfb4549446e06a78fcc6f0c0fa"},"schema_version":"1.0","source":{"id":"1202.2540","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2540","created_at":"2026-05-18T01:58:30Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2540v1","created_at":"2026-05-18T01:58:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2540","created_at":"2026-05-18T01:58:30Z"},{"alias_kind":"pith_short_12","alias_value":"DTVJMFF6JUNH","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DTVJMFF6JUNHFSMZ","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DTVJMFF6","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:80e03a61304e35c6e2c21207880aa253e9300ae99dcc2fe7b31fbbc7be0b2027","target":"graph","created_at":"2026-05-18T01:58:30Z","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":"Birkhoff's theorem is one of the most important statements of Einstein's general relativity, which generally can not be extended to modified theories of gravity. Here we study the validity of the theorem in scalar-tensor theories using a perturbative approach, and compare the results in the so-called Einstein and Jordan frames. The implications of the results question the physical equivalence between both frames, at least in perturbations.","authors_text":"Diego S\\'aez-G\\'omez, Salvatore Capozziello","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-12T16:13:47Z","title":"Conformal frames and the validity of Birkhoff's theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2540","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:b5f7545d2e098bd61cb3f0e3949a3586acd2ef7072487362600dc7ef0a88d518","target":"record","created_at":"2026-05-18T01:58:30Z","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":"de2e940b7f68c6988eba19be74d8383a5c9dbc5f9fe5eba919569053de7a3264","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-12T16:13:47Z","title_canon_sha256":"c5b344031481e496040bad9fa6d79ee55c447bbfb4549446e06a78fcc6f0c0fa"},"schema_version":"1.0","source":{"id":"1202.2540","kind":"arxiv","version":1}},"canonical_sha256":"1cea9614be4d1a72c99974713393f71f9d9400cdc50c4d4f07bd5a391bf12a8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cea9614be4d1a72c99974713393f71f9d9400cdc50c4d4f07bd5a391bf12a8e","first_computed_at":"2026-05-18T01:58:30.914815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:30.914815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5aYrMEsTyBxpQZ7vZi8UNY7/kXQcFUokGnb2I2+0oc+8RVxDIw+skoxgKV9R2kceIur4srVHK0oTIbdN3arfDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:30.915213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2540","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5f7545d2e098bd61cb3f0e3949a3586acd2ef7072487362600dc7ef0a88d518","sha256:80e03a61304e35c6e2c21207880aa253e9300ae99dcc2fe7b31fbbc7be0b2027"],"state_sha256":"870bb6b1dad206d195de20105a46ae46b1c0319acf4fe0dbf70f73d580fef4de"}