{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:7EUCILVHU3YL6H7XPNTX4LT3KZ","short_pith_number":"pith:7EUCILVH","schema_version":"1.0","canonical_sha256":"f928242ea7a6f0bf1ff77b677e2e7b5679c5d860d32a14b7395662b6dd07f647","source":{"kind":"arxiv","id":"1105.4929","version":2},"attestation_state":"computed","paper":{"title":"Cosmological Perturbation Analysis in a Scale Invariant Model of Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naveen K. Singh, Pankaj Jain, Purnendu Karmakar, Subhadip Mitra, Sukanta Panda","submitted_at":"2011-05-25T04:23:13Z","abstract_excerpt":"We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational constant and the cosmological constant etc. are generated by a solution of the classical equations of motion which breaks scale invariance. In this paper we demonstrate the stability of such a solution against small perturbations in a flat FRW background by making a perturbative expansion around this solution and solving the resulting equations linear in the"},"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":"1105.4929","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-05-25T04:23:13Z","cross_cats_sorted":[],"title_canon_sha256":"e431e85736890759dc198e06322724c7dc0d1ab3698239159179be526b880b10","abstract_canon_sha256":"3ab6dcd5c1faf06c3748a7a8fc67f0ec480d511f5aaf4ec4b41fedba1efa25e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:09.256603Z","signature_b64":"ew9UzLqlkV7oemOT0QwGbIYHLNRREPe6gG2lxJZCWmMKPn+InLIXjYuhkJJZheASBdIj/mpYA9h2laSnxnEQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f928242ea7a6f0bf1ff77b677e2e7b5679c5d860d32a14b7395662b6dd07f647","last_reissued_at":"2026-05-18T04:03:09.255827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:09.255827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological Perturbation Analysis in a Scale Invariant Model of Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naveen K. Singh, Pankaj Jain, Purnendu Karmakar, Subhadip Mitra, Sukanta Panda","submitted_at":"2011-05-25T04:23:13Z","abstract_excerpt":"We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational constant and the cosmological constant etc. are generated by a solution of the classical equations of motion which breaks scale invariance. In this paper we demonstrate the stability of such a solution against small perturbations in a flat FRW background by making a perturbative expansion around this solution and solving the resulting equations linear in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4929","kind":"arxiv","version":2},"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":"1105.4929","created_at":"2026-05-18T04:03:09.255951+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.4929v2","created_at":"2026-05-18T04:03:09.255951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4929","created_at":"2026-05-18T04:03:09.255951+00:00"},{"alias_kind":"pith_short_12","alias_value":"7EUCILVHU3YL","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"7EUCILVHU3YL6H7X","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"7EUCILVH","created_at":"2026-05-18T12:26:22.705136+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/7EUCILVHU3YL6H7XPNTX4LT3KZ","json":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ.json","graph_json":"https://pith.science/api/pith-number/7EUCILVHU3YL6H7XPNTX4LT3KZ/graph.json","events_json":"https://pith.science/api/pith-number/7EUCILVHU3YL6H7XPNTX4LT3KZ/events.json","paper":"https://pith.science/paper/7EUCILVH"},"agent_actions":{"view_html":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ","download_json":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ.json","view_paper":"https://pith.science/paper/7EUCILVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.4929&json=true","fetch_graph":"https://pith.science/api/pith-number/7EUCILVHU3YL6H7XPNTX4LT3KZ/graph.json","fetch_events":"https://pith.science/api/pith-number/7EUCILVHU3YL6H7XPNTX4LT3KZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ/action/storage_attestation","attest_author":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ/action/author_attestation","sign_citation":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ/action/citation_signature","submit_replication":"https://pith.science/pith/7EUCILVHU3YL6H7XPNTX4LT3KZ/action/replication_record"}},"created_at":"2026-05-18T04:03:09.255951+00:00","updated_at":"2026-05-18T04:03:09.255951+00:00"}