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Near singularity, dominant terms in the expansion of analytic type of these functions are in terms of $R^{n}$ (practically $R^{1+\\delta}$, for indicating deviation from Einstein-Hilbert action), ($R_{\\alpha\\beta}R^{\\alpha\\beta})^{n}$ or ($R_{\\alpha\\beta\\mu\\nu}R^{\\alpha\\beta\\mu\\nu})^{n}$. Investigation shows that there always "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1309.2311","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"gr-qc","submitted_at":"2013-08-31T20:07:39Z","cross_cats_sorted":[],"title_canon_sha256":"a16c439069a5c500769d15e264dc068daca8fe490ed7a385de0711bd9e800547","abstract_canon_sha256":"82478f41a948efded171361b1c01fffa1162c1cfb103566f17d771c81cb71830"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:45.143957Z","signature_b64":"48BHUXHI9HEu5MgusWxn8SMdaOcHn5SLdF8W7X4d7ZvpXmQ3jo7DncobC5553Ln/wTgFJFDUpCUHxWH4IrLUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33b5d36adb324e34343b242a25a57560752767a3cca38dc4887f695036ead0cd","last_reissued_at":"2026-05-18T03:13:45.143196Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:45.143196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Exact Anisotropic Solutions of Kasner type in Higher Order Gravities","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hamid Shabani","submitted_at":"2013-08-31T20:07:39Z","abstract_excerpt":"This thesis has considered the existence of anisotropic exact vacuum solutions in the context of higher order gravities. 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