{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:UIXU2D77JDDVD42S74FAOIHEJ7","short_pith_number":"pith:UIXU2D77","schema_version":"1.0","canonical_sha256":"a22f4d0fff48c751f352ff0a0720e44fc41f434b6e321fd6be2b2249d605ea66","source":{"kind":"arxiv","id":"2111.04753","version":2},"attestation_state":"computed","paper":{"title":"Stasis in an Expanding Universe: A Recipe for Stable Mixed-Component Cosmological Eras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Brooks Thomas, Doojin Kim, Fei Huang, Keith R. Dienes, Lucien Heurtier, Tim M.P. Tait","submitted_at":"2021-11-08T19:00:02Z","abstract_excerpt":"One signature of an expanding universe is the time-variation of the cosmological abundances of its different components. For example, a radiation-dominated universe inevitably gives way to a matter-dominated universe, and critical moments such as matter-radiation equality are fleeting. In this paper, we point out that this lore is not always correct, and that it is possible to obtain a form of \"stasis\" in which the relative cosmological abundances $\\Omega_i$ of the different components remain unchanged over extended cosmological epochs, even as the universe expands. Moreover, we demonstrate th"},"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":"2111.04753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-11-08T19:00:02Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b320d2bc4e05d7fed2f727c690b0d0840d92dd43d2cdf86db9811ec4884ae7d1","abstract_canon_sha256":"1979e639b16f9a7c795daaaeb9298c34bc784ec29fc0ea5d587a447e64ac86ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:55:09.255047Z","signature_b64":"x/gOu9hAPOI9SrmXkTE0PZ5CEp5gNRV8M1dCoOlTnCEEtGL04/4WEL95Me2+bLi63vI3TeCvOZyL3Ho7gBkrCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a22f4d0fff48c751f352ff0a0720e44fc41f434b6e321fd6be2b2249d605ea66","last_reissued_at":"2026-07-05T03:55:09.254600Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:55:09.254600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stasis in an Expanding Universe: A Recipe for Stable Mixed-Component Cosmological Eras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Brooks Thomas, Doojin Kim, Fei Huang, Keith R. Dienes, Lucien Heurtier, Tim M.P. Tait","submitted_at":"2021-11-08T19:00:02Z","abstract_excerpt":"One signature of an expanding universe is the time-variation of the cosmological abundances of its different components. For example, a radiation-dominated universe inevitably gives way to a matter-dominated universe, and critical moments such as matter-radiation equality are fleeting. In this paper, we point out that this lore is not always correct, and that it is possible to obtain a form of \"stasis\" in which the relative cosmological abundances $\\Omega_i$ of the different components remain unchanged over extended cosmological epochs, even as the universe expands. Moreover, we demonstrate th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.04753","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/2111.04753/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":"2111.04753","created_at":"2026-07-05T03:55:09.254664+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.04753v2","created_at":"2026-07-05T03:55:09.254664+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.04753","created_at":"2026-07-05T03:55:09.254664+00:00"},{"alias_kind":"pith_short_12","alias_value":"UIXU2D77JDDV","created_at":"2026-07-05T03:55:09.254664+00:00"},{"alias_kind":"pith_short_16","alias_value":"UIXU2D77JDDVD42S","created_at":"2026-07-05T03:55:09.254664+00:00"},{"alias_kind":"pith_short_8","alias_value":"UIXU2D77","created_at":"2026-07-05T03:55:09.254664+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.04502","citing_title":"Setting up stasis with gravitational interactions","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7","json":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7.json","graph_json":"https://pith.science/api/pith-number/UIXU2D77JDDVD42S74FAOIHEJ7/graph.json","events_json":"https://pith.science/api/pith-number/UIXU2D77JDDVD42S74FAOIHEJ7/events.json","paper":"https://pith.science/paper/UIXU2D77"},"agent_actions":{"view_html":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7","download_json":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7.json","view_paper":"https://pith.science/paper/UIXU2D77","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.04753&json=true","fetch_graph":"https://pith.science/api/pith-number/UIXU2D77JDDVD42S74FAOIHEJ7/graph.json","fetch_events":"https://pith.science/api/pith-number/UIXU2D77JDDVD42S74FAOIHEJ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7/action/storage_attestation","attest_author":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7/action/author_attestation","sign_citation":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7/action/citation_signature","submit_replication":"https://pith.science/pith/UIXU2D77JDDVD42S74FAOIHEJ7/action/replication_record"}},"created_at":"2026-07-05T03:55:09.254664+00:00","updated_at":"2026-07-05T03:55:09.254664+00:00"}