{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:T7D7FH4BKXYAE3HKBQBFTDLJYV","short_pith_number":"pith:T7D7FH4B","schema_version":"1.0","canonical_sha256":"9fc7f29f8155f0026cea0c02598d69c554604ca23e4d27e460f29a2e59957b5f","source":{"kind":"arxiv","id":"1905.01904","version":1},"attestation_state":"computed","paper":{"title":"The Phase Space of $k$-Essence $f(R)$ Gravity Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"N. Chatzarakis, V.K. Oikonomou","submitted_at":"2019-05-06T09:52:01Z","abstract_excerpt":"Among the remaining viable theories that can successfully describe the late-time era is the $k$-Essence theory and in this work we study in detail the phase space of $k$-Essence $f(R)$ gravity in vacuum. This theory can describe in a viable way the inflationary era too, so we shall study the phase space in detail, since this investigation may reveal general properties regarding the inflationary attractors. By appropriately choosing the dimensionless variables corresponding to the cosmological system, we shall construct an autonomous dynamical system, and we find the fixed points of the system."},"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":"1905.01904","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-06T09:52:01Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"2c9833b641614fa73aa62ae49930ccd9db43466ef885bee70ab8f67d858a6c87","abstract_canon_sha256":"5bfba05ffe641db6389af66a8a6f347facbd2cb6bc7c3177d49b8860a08f942e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:03:59.013368Z","signature_b64":"fOBZLKsAomK0s7oiV29BtQ8GhWJVULiPYjj8eEJPIpWBBUnqO0YxDy+WBdqOv5JDA1TBmf+XpIFfMwr0f8bJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fc7f29f8155f0026cea0c02598d69c554604ca23e4d27e460f29a2e59957b5f","last_reissued_at":"2026-07-05T01:03:59.012928Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:03:59.012928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Phase Space of $k$-Essence $f(R)$ Gravity Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"N. Chatzarakis, V.K. Oikonomou","submitted_at":"2019-05-06T09:52:01Z","abstract_excerpt":"Among the remaining viable theories that can successfully describe the late-time era is the $k$-Essence theory and in this work we study in detail the phase space of $k$-Essence $f(R)$ gravity in vacuum. This theory can describe in a viable way the inflationary era too, so we shall study the phase space in detail, since this investigation may reveal general properties regarding the inflationary attractors. By appropriately choosing the dimensionless variables corresponding to the cosmological system, we shall construct an autonomous dynamical system, and we find the fixed points of the system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01904","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/1905.01904/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":"1905.01904","created_at":"2026-07-05T01:03:59.012991+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.01904v1","created_at":"2026-07-05T01:03:59.012991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01904","created_at":"2026-07-05T01:03:59.012991+00:00"},{"alias_kind":"pith_short_12","alias_value":"T7D7FH4BKXYA","created_at":"2026-07-05T01:03:59.012991+00:00"},{"alias_kind":"pith_short_16","alias_value":"T7D7FH4BKXYAE3HK","created_at":"2026-07-05T01:03:59.012991+00:00"},{"alias_kind":"pith_short_8","alias_value":"T7D7FH4B","created_at":"2026-07-05T01:03:59.012991+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.19154","citing_title":"Dynamical system analysis of the cosmological phases in Palatini $k$-essence gravity","ref_index":45,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV","json":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV.json","graph_json":"https://pith.science/api/pith-number/T7D7FH4BKXYAE3HKBQBFTDLJYV/graph.json","events_json":"https://pith.science/api/pith-number/T7D7FH4BKXYAE3HKBQBFTDLJYV/events.json","paper":"https://pith.science/paper/T7D7FH4B"},"agent_actions":{"view_html":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV","download_json":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV.json","view_paper":"https://pith.science/paper/T7D7FH4B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.01904&json=true","fetch_graph":"https://pith.science/api/pith-number/T7D7FH4BKXYAE3HKBQBFTDLJYV/graph.json","fetch_events":"https://pith.science/api/pith-number/T7D7FH4BKXYAE3HKBQBFTDLJYV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV/action/storage_attestation","attest_author":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV/action/author_attestation","sign_citation":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV/action/citation_signature","submit_replication":"https://pith.science/pith/T7D7FH4BKXYAE3HKBQBFTDLJYV/action/replication_record"}},"created_at":"2026-07-05T01:03:59.012991+00:00","updated_at":"2026-07-05T01:03:59.012991+00:00"}