{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:7C7HRSTXIQOIMKF2T6RKS3KDVG","short_pith_number":"pith:7C7HRSTX","schema_version":"1.0","canonical_sha256":"f8be78ca77441c8628ba9fa2a96d43a98444ef92c20b5817afe8a5a0a3b60e10","source":{"kind":"arxiv","id":"1507.01865","version":1},"attestation_state":"computed","paper":{"title":"Classification of Cosmic Scale Factor via Noether Gauge Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Adil Jhangeer, M. Farasat Shamir, Nazish Iftikhar, Tayyaba Naz","submitted_at":"2015-07-06T08:51:03Z","abstract_excerpt":"In this paper, a complete classification of Friedmann-Robertson-Walker (FRW) spacetime by using approximate Noether approach is presented. Considered spacetime is discussed for three different types of universe i.e. flat, open and closed. Different forms of cosmic scale factor $a$ with respect to the nature of the universe, which posses the nontrivial Noether gauge symmetries (NGS) are reported. The perturbed Lagrangian corresponding to FRW metric in the Noether equation is used to get Noether operators. For different types of universe minimal and maximal set of Noether operators are reported."},"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":"1507.01865","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-06T08:51:03Z","cross_cats_sorted":[],"title_canon_sha256":"852a62643e1d2ea43dcdd6b490262cdaf1abd9696051859c135944d924644b78","abstract_canon_sha256":"780da3f707dd7bdf44e07769481bd5765af0bceff5646a81333463e6cf0df49c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:12.232246Z","signature_b64":"Czzh9muprj0M9zc6MnCdF1kBUA6gNd5IDmgqXTgd7ri9KDlrVaz63kAxdflQiFg0d0+skxHPYFPBkdfpjgvEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8be78ca77441c8628ba9fa2a96d43a98444ef92c20b5817afe8a5a0a3b60e10","last_reissued_at":"2026-05-18T01:37:12.231549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:12.231549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of Cosmic Scale Factor via Noether Gauge Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Adil Jhangeer, M. Farasat Shamir, Nazish Iftikhar, Tayyaba Naz","submitted_at":"2015-07-06T08:51:03Z","abstract_excerpt":"In this paper, a complete classification of Friedmann-Robertson-Walker (FRW) spacetime by using approximate Noether approach is presented. Considered spacetime is discussed for three different types of universe i.e. flat, open and closed. Different forms of cosmic scale factor $a$ with respect to the nature of the universe, which posses the nontrivial Noether gauge symmetries (NGS) are reported. The perturbed Lagrangian corresponding to FRW metric in the Noether equation is used to get Noether operators. For different types of universe minimal and maximal set of Noether operators are reported."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01865","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.01865","created_at":"2026-05-18T01:37:12.231654+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.01865v1","created_at":"2026-05-18T01:37:12.231654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01865","created_at":"2026-05-18T01:37:12.231654+00:00"},{"alias_kind":"pith_short_12","alias_value":"7C7HRSTXIQOI","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"7C7HRSTXIQOIMKF2","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"7C7HRSTX","created_at":"2026-05-18T12:29:07.941421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG","json":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG.json","graph_json":"https://pith.science/api/pith-number/7C7HRSTXIQOIMKF2T6RKS3KDVG/graph.json","events_json":"https://pith.science/api/pith-number/7C7HRSTXIQOIMKF2T6RKS3KDVG/events.json","paper":"https://pith.science/paper/7C7HRSTX"},"agent_actions":{"view_html":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG","download_json":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG.json","view_paper":"https://pith.science/paper/7C7HRSTX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.01865&json=true","fetch_graph":"https://pith.science/api/pith-number/7C7HRSTXIQOIMKF2T6RKS3KDVG/graph.json","fetch_events":"https://pith.science/api/pith-number/7C7HRSTXIQOIMKF2T6RKS3KDVG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG/action/storage_attestation","attest_author":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG/action/author_attestation","sign_citation":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG/action/citation_signature","submit_replication":"https://pith.science/pith/7C7HRSTXIQOIMKF2T6RKS3KDVG/action/replication_record"}},"created_at":"2026-05-18T01:37:12.231654+00:00","updated_at":"2026-05-18T01:37:12.231654+00:00"}