{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:J4ZM725VESKPFR4OKWZLJHGCS3","short_pith_number":"pith:J4ZM725V","canonical_record":{"source":{"id":"1704.06653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-21T11:54:49Z","cross_cats_sorted":[],"title_canon_sha256":"a248e0212e7a3bb22fd3d7e8c975eb31408c0b7bf85db7231b1995602ddf0bfe","abstract_canon_sha256":"f54cbac00d4ca9d202f4ed308fe8a1b6e7593f0d6103296b858c5abf0363d36f"},"schema_version":"1.0"},"canonical_sha256":"4f32cfebb52494f2c78e55b2b49cc296e2dddd5859e27cf11de009a9a495bedb","source":{"kind":"arxiv","id":"1704.06653","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06653","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06653v1","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06653","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"J4ZM725VESKP","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J4ZM725VESKPFR4O","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J4ZM725V","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:J4ZM725VESKPFR4OKWZLJHGCS3","target":"record","payload":{"canonical_record":{"source":{"id":"1704.06653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-21T11:54:49Z","cross_cats_sorted":[],"title_canon_sha256":"a248e0212e7a3bb22fd3d7e8c975eb31408c0b7bf85db7231b1995602ddf0bfe","abstract_canon_sha256":"f54cbac00d4ca9d202f4ed308fe8a1b6e7593f0d6103296b858c5abf0363d36f"},"schema_version":"1.0"},"canonical_sha256":"4f32cfebb52494f2c78e55b2b49cc296e2dddd5859e27cf11de009a9a495bedb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:19.594821Z","signature_b64":"k6cb9mdcoEGZV59cyhhy6W54XKPUXo575RJd/9zGrsv1vFrHQCTsNJMk5OtTX5ndTYX4RtN9K/wC2M5HZ2UpBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f32cfebb52494f2c78e55b2b49cc296e2dddd5859e27cf11de009a9a495bedb","last_reissued_at":"2026-05-18T00:44:19.594406Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:19.594406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.06653","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLh5eOFmy51wbEJ/SWWgP0Z9h9X5IaCFeG29R0yy+8XVpyc2FS6nGf2GYgR/wsx4QAXlkN3ex/QRfdmAKzBzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:05:21.263016Z"},"content_sha256":"ed591e223a991794f169d19a413079936b549a88be3f01635831098f4531ade7","schema_version":"1.0","event_id":"sha256:ed591e223a991794f169d19a413079936b549a88be3f01635831098f4531ade7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:J4ZM725VESKPFR4OKWZLJHGCS3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noether Symmetry Analysis of Anisotropic Universe in Modified Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Fiza Kanwal, M. Farasat Shamir","submitted_at":"2017-04-21T11:54:49Z","abstract_excerpt":"In this paper, we study anisotropic universe using Noether symmetries in modified gravity. In particular, we choose locally rotationally symmetric Bianchi type-$I$ universe for the analysis in $f(R,\\mathcal{G})$ gravity, where $R$ is the Ricci scalar and $\\mathcal{G}$ is the Gauss-Bonnet invariant. Firstly, a model $f(R,\\mathcal{G})=f_0R^l+f_1\\mathcal{G}^n$ is proposed and the corresponding Noether symmetries are investigated. Further, we have also recovered the Noether symmetries for $f(R)$ and $f(\\mathcal{G})$ theories of gravity. Secondly, some important cosmological solutions are reconstru"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06653","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VVPBb+QAJ1MpDzv21j+WG2mu74Wmo2v6MUZKkWupcL0NkkRgoATKPl1JERR71GOrIzvuSZL1PAgREKTEwmmWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:05:21.263758Z"},"content_sha256":"ab365c5d103ef8aad184f9863c3657783117513277024a2d7059925766d6518e","schema_version":"1.0","event_id":"sha256:ab365c5d103ef8aad184f9863c3657783117513277024a2d7059925766d6518e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J4ZM725VESKPFR4OKWZLJHGCS3/bundle.json","state_url":"https://pith.science/pith/J4ZM725VESKPFR4OKWZLJHGCS3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J4ZM725VESKPFR4OKWZLJHGCS3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T03:05:21Z","links":{"resolver":"https://pith.science/pith/J4ZM725VESKPFR4OKWZLJHGCS3","bundle":"https://pith.science/pith/J4ZM725VESKPFR4OKWZLJHGCS3/bundle.json","state":"https://pith.science/pith/J4ZM725VESKPFR4OKWZLJHGCS3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J4ZM725VESKPFR4OKWZLJHGCS3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:J4ZM725VESKPFR4OKWZLJHGCS3","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":"f54cbac00d4ca9d202f4ed308fe8a1b6e7593f0d6103296b858c5abf0363d36f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-21T11:54:49Z","title_canon_sha256":"a248e0212e7a3bb22fd3d7e8c975eb31408c0b7bf85db7231b1995602ddf0bfe"},"schema_version":"1.0","source":{"id":"1704.06653","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06653","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06653v1","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06653","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"J4ZM725VESKP","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J4ZM725VESKPFR4O","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J4ZM725V","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:ab365c5d103ef8aad184f9863c3657783117513277024a2d7059925766d6518e","target":"graph","created_at":"2026-05-18T00:44:19Z","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":"In this paper, we study anisotropic universe using Noether symmetries in modified gravity. In particular, we choose locally rotationally symmetric Bianchi type-$I$ universe for the analysis in $f(R,\\mathcal{G})$ gravity, where $R$ is the Ricci scalar and $\\mathcal{G}$ is the Gauss-Bonnet invariant. Firstly, a model $f(R,\\mathcal{G})=f_0R^l+f_1\\mathcal{G}^n$ is proposed and the corresponding Noether symmetries are investigated. Further, we have also recovered the Noether symmetries for $f(R)$ and $f(\\mathcal{G})$ theories of gravity. Secondly, some important cosmological solutions are reconstru","authors_text":"Fiza Kanwal, M. Farasat Shamir","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-21T11:54:49Z","title":"Noether Symmetry Analysis of Anisotropic Universe in Modified Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06653","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:ed591e223a991794f169d19a413079936b549a88be3f01635831098f4531ade7","target":"record","created_at":"2026-05-18T00:44:19Z","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":"f54cbac00d4ca9d202f4ed308fe8a1b6e7593f0d6103296b858c5abf0363d36f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-21T11:54:49Z","title_canon_sha256":"a248e0212e7a3bb22fd3d7e8c975eb31408c0b7bf85db7231b1995602ddf0bfe"},"schema_version":"1.0","source":{"id":"1704.06653","kind":"arxiv","version":1}},"canonical_sha256":"4f32cfebb52494f2c78e55b2b49cc296e2dddd5859e27cf11de009a9a495bedb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f32cfebb52494f2c78e55b2b49cc296e2dddd5859e27cf11de009a9a495bedb","first_computed_at":"2026-05-18T00:44:19.594406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:19.594406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k6cb9mdcoEGZV59cyhhy6W54XKPUXo575RJd/9zGrsv1vFrHQCTsNJMk5OtTX5ndTYX4RtN9K/wC2M5HZ2UpBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:19.594821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06653","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed591e223a991794f169d19a413079936b549a88be3f01635831098f4531ade7","sha256:ab365c5d103ef8aad184f9863c3657783117513277024a2d7059925766d6518e"],"state_sha256":"8487ec4bf49f252f0cb11e54b8e903455caef489c5b70fd81c3fd723ee686639"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TbPTEBJl/XHb/1/iAwDKxbtiG6TbPqBOgj1sYqht78/q6ZT145rINklllVCmCE/rYlykqYxLE//zaMfnUvIJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:05:21.268627Z","bundle_sha256":"30659cdd9da5b0436041771f333204a32f6e00be965714f281f3a98b2366b3e6"}}