{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HYAGVCCJMR664WWYWNZCSAUONS","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":"83df499e2bc5e800a06f254e3b7a2d77fbee62d8ad5d70115fed8085740236c5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-06T13:45:42Z","title_canon_sha256":"b8082bc9d046dd54c9a3ad059a363ee8836d65bb6b2e4ada3ab7350ca412fcb7"},"schema_version":"1.0","source":{"id":"1412.4672","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4672","created_at":"2026-05-18T00:03:59Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4672v2","created_at":"2026-05-18T00:03:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4672","created_at":"2026-05-18T00:03:59Z"},{"alias_kind":"pith_short_12","alias_value":"HYAGVCCJMR66","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"HYAGVCCJMR664WWY","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"HYAGVCCJ","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:b6697e2d0d8d3cae74cf81ee54cf9f1eeaf8d8f06cad43887a4b20f2bb265c75","target":"graph","created_at":"2026-05-18T00:03:59Z","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":"We have been studied the model of light Galileon with translational shift symmetry $\\phi\\to \\phi+c$. The matter Lagrangian is presented in the form $\\mathcal{L}_{\\phi}= -\\eta (\\partial \\phi)^2+\\beta G^{\\mu\\nu}\\partial_{\\mu}\\phi\\partial_{\\nu}\\phi$. We have been addressed two issues: the first is that, we have been proven that, this type of Galileons belong to the modified matter-curvature models of gravity in type of $f(R,R^{\\mu\\nu}T_{\\mu\\nu}^m)$. Secondly, we have been investigated exact solution for spherically symmetric geometries in this model. We have been found an exact solution with sing","authors_text":"D. Momeni, E. G\\\"udekli, F. G. Alvarenga, M. E. Rodrigues, M. J. S. Houndjo, R. Myrzakulov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-06T13:45:42Z","title":"Spherically symmetric solutions of light Galileon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4672","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:a1b5660a797cd74d4256113b67f568d21f85b7fa2d06de2a00d6510c82142a90","target":"record","created_at":"2026-05-18T00:03:59Z","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":"83df499e2bc5e800a06f254e3b7a2d77fbee62d8ad5d70115fed8085740236c5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-06T13:45:42Z","title_canon_sha256":"b8082bc9d046dd54c9a3ad059a363ee8836d65bb6b2e4ada3ab7350ca412fcb7"},"schema_version":"1.0","source":{"id":"1412.4672","kind":"arxiv","version":2}},"canonical_sha256":"3e006a8849647dee5ad8b37229028e6cb94bc9c1de5107cd707208fd2a068461","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e006a8849647dee5ad8b37229028e6cb94bc9c1de5107cd707208fd2a068461","first_computed_at":"2026-05-18T00:03:59.612597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:59.612597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4+UPLmlB9I9L+JyQCKlPfH/Zcphi4GK7eSwtAY2SuLysBZiyaS2NLhYDt1CBSUvzW/UtBx5RVgGybhrBsIwWDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:59.613269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4672","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1b5660a797cd74d4256113b67f568d21f85b7fa2d06de2a00d6510c82142a90","sha256:b6697e2d0d8d3cae74cf81ee54cf9f1eeaf8d8f06cad43887a4b20f2bb265c75"],"state_sha256":"d64908dd9992084cd60979a7df3a34fd9db7f79a21ce6da387e2e45a6e7e52a8"}