{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:Z3UZURMTZODMLRO6DIAIKDJYQ3","short_pith_number":"pith:Z3UZURMT","schema_version":"1.0","canonical_sha256":"cee99a4593cb86c5c5de1a00850d3886cdf9be7f224f10f3288b74d36068a13e","source":{"kind":"arxiv","id":"2212.05531","version":1},"attestation_state":"computed","paper":{"title":"A non-singular generalized entropy and its implications on bounce cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Sergei D. Odintsov, Tanmoy Paul","submitted_at":"2022-12-11T16:03:23Z","abstract_excerpt":"We propose a new five-parameter entropy function that proves to be singular-free during the entire cosmic evolution of the universe, and at the same time, also generalizes the Tsallis, Barrow, R\\'{e}nyi, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies for suitable limits of the parameters. In particular, all the above mentioned known entropies become singular (or diverge) when the Hubble parameter vanishes in course of the universe's evolution (for instance, in bounce cosmology at the instant of bounce), while the newly proposed entropy function seems to be singular-free even at $"},"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":"2212.05531","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-11T16:03:23Z","cross_cats_sorted":[],"title_canon_sha256":"bafecad3e4ded2ad7ff32ae597e95f8117e1bc384b0fa13c046f2f944edaf989","abstract_canon_sha256":"65ac5f4f91a72b0639814fdef36e2a5be81a854a9d553a6f4af15a8912208e49"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:24:16.733198Z","signature_b64":"V6xhJkDfi5wkbOcFanuO+gfcfATn3X3xzMoRSibReKKwMFNtVBf03J15N3WJonO9wlmgWS0ugR9L8KjYGrmJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cee99a4593cb86c5c5de1a00850d3886cdf9be7f224f10f3288b74d36068a13e","last_reissued_at":"2026-07-05T05:24:16.732764Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:24:16.732764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A non-singular generalized entropy and its implications on bounce cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Sergei D. Odintsov, Tanmoy Paul","submitted_at":"2022-12-11T16:03:23Z","abstract_excerpt":"We propose a new five-parameter entropy function that proves to be singular-free during the entire cosmic evolution of the universe, and at the same time, also generalizes the Tsallis, Barrow, R\\'{e}nyi, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies for suitable limits of the parameters. In particular, all the above mentioned known entropies become singular (or diverge) when the Hubble parameter vanishes in course of the universe's evolution (for instance, in bounce cosmology at the instant of bounce), while the newly proposed entropy function seems to be singular-free even at $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.05531","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.05531/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2212.05531","created_at":"2026-07-05T05:24:16.732821+00:00"},{"alias_kind":"arxiv_version","alias_value":"2212.05531v1","created_at":"2026-07-05T05:24:16.732821+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.05531","created_at":"2026-07-05T05:24:16.732821+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z3UZURMTZODM","created_at":"2026-07-05T05:24:16.732821+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z3UZURMTZODMLRO6","created_at":"2026-07-05T05:24:16.732821+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z3UZURMT","created_at":"2026-07-05T05:24:16.732821+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.05212","citing_title":"Effective Constrained Scalar--Gauss--Bonnet Inflation Motivated by $f(R,\\mathcal{G})$ Gravity","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05212","citing_title":"Effective Constrained Scalar--Gauss--Bonnet Inflation Motivated by $f(R,\\mathcal{G})$ Gravity","ref_index":25,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3","json":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3.json","graph_json":"https://pith.science/api/pith-number/Z3UZURMTZODMLRO6DIAIKDJYQ3/graph.json","events_json":"https://pith.science/api/pith-number/Z3UZURMTZODMLRO6DIAIKDJYQ3/events.json","paper":"https://pith.science/paper/Z3UZURMT"},"agent_actions":{"view_html":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3","download_json":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3.json","view_paper":"https://pith.science/paper/Z3UZURMT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2212.05531&json=true","fetch_graph":"https://pith.science/api/pith-number/Z3UZURMTZODMLRO6DIAIKDJYQ3/graph.json","fetch_events":"https://pith.science/api/pith-number/Z3UZURMTZODMLRO6DIAIKDJYQ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3/action/storage_attestation","attest_author":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3/action/author_attestation","sign_citation":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3/action/citation_signature","submit_replication":"https://pith.science/pith/Z3UZURMTZODMLRO6DIAIKDJYQ3/action/replication_record"}},"created_at":"2026-07-05T05:24:16.732821+00:00","updated_at":"2026-07-05T05:24:16.732821+00:00"}