{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:77SH22MDCT2NPRYNWMRXZ3SJOK","short_pith_number":"pith:77SH22MD","schema_version":"1.0","canonical_sha256":"ffe47d698314f4d7c70db3237cee4972a28a513e0b0b8b2059f84cce53cf56b8","source":{"kind":"arxiv","id":"1003.1745","version":1},"attestation_state":"computed","paper":{"title":"Cosmology of the Very Early Universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Robert H. Brandenberger (McGill University)","submitted_at":"2010-03-08T22:36:04Z","abstract_excerpt":"In these lectures I focus on early universe models which can explain the currently observed structure on large scales. I begin with a survey of inflationary cosmology, the current paradigm for understanding the origin of the universe as we observe it today. I will discuss some progress and problems in inflationary cosmology before moving on to a description of two alternative scenarios - the Matter Bounce and String Gas Cosmology. All early universe models connect to observations via the evolution of cosmological perturbations - a topic which will be discussed in detail in these lectures."},"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":"1003.1745","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-08T22:36:04Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"365de04adc4b19e40bc2ca76afec07446e66849d2800972ab863b6ade6a4958d","abstract_canon_sha256":"46c16f92a95ae5dc8f1372d4446fa4d9d4b78f38e4d53384ec588bae5f384857"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:36.327801Z","signature_b64":"SHyoSKu9HBZl884NUuxeMDRYdKc1mQGqd9JyIOOzMox5M6rxzjhf30rY1RRDeulXb3TU2fR+G5ycu8C6tE+vBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffe47d698314f4d7c70db3237cee4972a28a513e0b0b8b2059f84cce53cf56b8","last_reissued_at":"2026-05-18T02:08:36.326966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:36.326966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmology of the Very Early Universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Robert H. Brandenberger (McGill University)","submitted_at":"2010-03-08T22:36:04Z","abstract_excerpt":"In these lectures I focus on early universe models which can explain the currently observed structure on large scales. I begin with a survey of inflationary cosmology, the current paradigm for understanding the origin of the universe as we observe it today. I will discuss some progress and problems in inflationary cosmology before moving on to a description of two alternative scenarios - the Matter Bounce and String Gas Cosmology. All early universe models connect to observations via the evolution of cosmological perturbations - a topic which will be discussed in detail in these lectures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1745","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":""},"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":"1003.1745","created_at":"2026-05-18T02:08:36.327110+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.1745v1","created_at":"2026-05-18T02:08:36.327110+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1745","created_at":"2026-05-18T02:08:36.327110+00:00"},{"alias_kind":"pith_short_12","alias_value":"77SH22MDCT2N","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"77SH22MDCT2NPRYN","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"77SH22MD","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.24420","citing_title":"Unifying Cosmic Epochs via Quantum-Corrected Expansion with Brane-World Parallels","ref_index":17,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK","json":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK.json","graph_json":"https://pith.science/api/pith-number/77SH22MDCT2NPRYNWMRXZ3SJOK/graph.json","events_json":"https://pith.science/api/pith-number/77SH22MDCT2NPRYNWMRXZ3SJOK/events.json","paper":"https://pith.science/paper/77SH22MD"},"agent_actions":{"view_html":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK","download_json":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK.json","view_paper":"https://pith.science/paper/77SH22MD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.1745&json=true","fetch_graph":"https://pith.science/api/pith-number/77SH22MDCT2NPRYNWMRXZ3SJOK/graph.json","fetch_events":"https://pith.science/api/pith-number/77SH22MDCT2NPRYNWMRXZ3SJOK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK/action/storage_attestation","attest_author":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK/action/author_attestation","sign_citation":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK/action/citation_signature","submit_replication":"https://pith.science/pith/77SH22MDCT2NPRYNWMRXZ3SJOK/action/replication_record"}},"created_at":"2026-05-18T02:08:36.327110+00:00","updated_at":"2026-05-18T02:08:36.327110+00:00"}