{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:SXNR7BWJIOV3ADCMQHS7OB6HVH","short_pith_number":"pith:SXNR7BWJ","schema_version":"1.0","canonical_sha256":"95db1f86c943abb00c4c81e5f707c7a9c2fdc4f9861c3111ad429ca940ee57fd","source":{"kind":"arxiv","id":"gr-qc/0606020","version":2},"attestation_state":"computed","paper":{"title":"Correspondence between kinematical backreaction and scalar field cosmologies - the `morphon field'","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"France), Germany), Jean-Michel Alimi (LUTH, Julien Larena, Obs. de Paris--Meudon, Thomas Buchert (Univ. Bielefeld & ASC Munich","submitted_at":"2006-06-03T15:13:26Z","abstract_excerpt":"Spatially averaged inhomogeneous cosmologies in classical general relativity can be written in the form of effective Friedmann equations with sources that include backreaction terms. In this paper we propose to describe these backreaction terms with the help of a homogeneous scalar field evolving in a potential; we call it the `morphon field'. This new field links classical inhomogeneous cosmologies to scalar field cosmologies, allowing to reinterpret, e.g., quintessence scenarios by routing the physical origin of the scalar field source to inhomogeneities in the Universe. We investigate a one"},"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":"gr-qc/0606020","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-06-03T15:13:26Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"eae3b49ac0b2862d66dd5bb85c5a8063f2c4f50b8a67fb1331747bf0f58ff94f","abstract_canon_sha256":"27590b18b723eefe385975e9c352deb1913db6e48a656e99405ef1e3f0cd7c76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:25:58.569435Z","signature_b64":"ZSzAta8Yqncqc21Gmsakhos+NG4L9LQlWysl4ZDGgSXi/SfaJMUzKR3V2eMvB9rR24Ti4KreTIgr8sps8AK1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95db1f86c943abb00c4c81e5f707c7a9c2fdc4f9861c3111ad429ca940ee57fd","last_reissued_at":"2026-07-04T15:25:58.569034Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:25:58.569034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correspondence between kinematical backreaction and scalar field cosmologies - the `morphon field'","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"France), Germany), Jean-Michel Alimi (LUTH, Julien Larena, Obs. de Paris--Meudon, Thomas Buchert (Univ. Bielefeld & ASC Munich","submitted_at":"2006-06-03T15:13:26Z","abstract_excerpt":"Spatially averaged inhomogeneous cosmologies in classical general relativity can be written in the form of effective Friedmann equations with sources that include backreaction terms. In this paper we propose to describe these backreaction terms with the help of a homogeneous scalar field evolving in a potential; we call it the `morphon field'. This new field links classical inhomogeneous cosmologies to scalar field cosmologies, allowing to reinterpret, e.g., quintessence scenarios by routing the physical origin of the scalar field source to inhomogeneities in the Universe. We investigate a one"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0606020","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0606020/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":"gr-qc/0606020","created_at":"2026-07-04T15:25:58.569089+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0606020v2","created_at":"2026-07-04T15:25:58.569089+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0606020","created_at":"2026-07-04T15:25:58.569089+00:00"},{"alias_kind":"pith_short_12","alias_value":"SXNR7BWJIOV3","created_at":"2026-07-04T15:25:58.569089+00:00"},{"alias_kind":"pith_short_16","alias_value":"SXNR7BWJIOV3ADCM","created_at":"2026-07-04T15:25:58.569089+00:00"},{"alias_kind":"pith_short_8","alias_value":"SXNR7BWJ","created_at":"2026-07-04T15:25:58.569089+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2607.08120","citing_title":"Phantom crossing from the Standard Model and General Relativity","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2605.30579","citing_title":"Mapping the Universe as a Bianchi I cosmology with Gaia data","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH","json":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH.json","graph_json":"https://pith.science/api/pith-number/SXNR7BWJIOV3ADCMQHS7OB6HVH/graph.json","events_json":"https://pith.science/api/pith-number/SXNR7BWJIOV3ADCMQHS7OB6HVH/events.json","paper":"https://pith.science/paper/SXNR7BWJ"},"agent_actions":{"view_html":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH","download_json":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH.json","view_paper":"https://pith.science/paper/SXNR7BWJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0606020&json=true","fetch_graph":"https://pith.science/api/pith-number/SXNR7BWJIOV3ADCMQHS7OB6HVH/graph.json","fetch_events":"https://pith.science/api/pith-number/SXNR7BWJIOV3ADCMQHS7OB6HVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH/action/storage_attestation","attest_author":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH/action/author_attestation","sign_citation":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH/action/citation_signature","submit_replication":"https://pith.science/pith/SXNR7BWJIOV3ADCMQHS7OB6HVH/action/replication_record"}},"created_at":"2026-07-04T15:25:58.569089+00:00","updated_at":"2026-07-04T15:25:58.569089+00:00"}