{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:W2OZ6DBI5FBJGAQGOEVY5IYXZT","short_pith_number":"pith:W2OZ6DBI","canonical_record":{"source":{"id":"1407.7325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-28T05:33:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4305ebfdba06abe80ac19cdb8a89b5f3c267b8c0852c79ffa4ae17261fe73c72","abstract_canon_sha256":"e14af15c297486a225122b24050cd9ae01ab9d013838a1285c6a045ed8ed8d11"},"schema_version":"1.0"},"canonical_sha256":"b69d9f0c28e942930206712b8ea317ccef8825838fe0d7f9c66586b1e8e9eca4","source":{"kind":"arxiv","id":"1407.7325","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7325","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7325v1","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7325","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"W2OZ6DBI5FBJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W2OZ6DBI5FBJGAQG","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W2OZ6DBI","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:W2OZ6DBI5FBJGAQGOEVY5IYXZT","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-28T05:33:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4305ebfdba06abe80ac19cdb8a89b5f3c267b8c0852c79ffa4ae17261fe73c72","abstract_canon_sha256":"e14af15c297486a225122b24050cd9ae01ab9d013838a1285c6a045ed8ed8d11"},"schema_version":"1.0"},"canonical_sha256":"b69d9f0c28e942930206712b8ea317ccef8825838fe0d7f9c66586b1e8e9eca4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:03.351870Z","signature_b64":"l/J51bFpnj7tak+DnZ1YSP4H8R2Ac3Exce4kB3d3CZZpxPOBVFnVaem1cK0XP25UkC5N2hvTbNzyoYo8XNyuBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b69d9f0c28e942930206712b8ea317ccef8825838fe0d7f9c66586b1e8e9eca4","last_reissued_at":"2026-05-18T02:41:03.351333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:03.351333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7325","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ghRsbjozkAnp71yQl7lB1xE8kUKSp4GqYNocXVk4/KrRkuW5rTaV5/pOJOUZ2uHHsXjwKusf/dPl4JFAklK1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:13:52.024074Z"},"content_sha256":"af77d45fc85fa4245dc222e387cdef2c8b7730fa16e5f64e151336b834452598","schema_version":"1.0","event_id":"sha256:af77d45fc85fa4245dc222e387cdef2c8b7730fa16e5f64e151336b834452598"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:W2OZ6DBI5FBJGAQGOEVY5IYXZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Third-Order Density Perturbation and One-Loop Power Spectrum in General Dark Energy Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Changbom Park, Sang Gyu Biern, Seokcheon Lee","submitted_at":"2014-07-28T05:33:29Z","abstract_excerpt":"Under the standard perturbation theory (SPT), we obtain the fully consistent third-order density fluctuation and kernels for the general dark energy models without using the Einstein-de Sitter (EdS) universe assumption for the first time. We also show that even though the temporal and spatial components of the SPT solutions can not be separable, one can find the exact solutions to any order in general dark energy models. With these exact solutions, we obtain the less than \\% error correction of one-loop matter power spectrum compared to that obtained from the EdS assumption for $k = 0.1 {\\rm h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7325","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+OvCHL1wgpm02MMKBChpHHSNTQiPVY9UMSz4//OjvBAKAUzg81FUzY/IP3AtJAZatezaRePDFq/4++bo1xX4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:13:52.024508Z"},"content_sha256":"0ab9b1eac3a5fdf63c3572bd4dbd8f55c5a7750385546f602c301ce76983ba59","schema_version":"1.0","event_id":"sha256:0ab9b1eac3a5fdf63c3572bd4dbd8f55c5a7750385546f602c301ce76983ba59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W2OZ6DBI5FBJGAQGOEVY5IYXZT/bundle.json","state_url":"https://pith.science/pith/W2OZ6DBI5FBJGAQGOEVY5IYXZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W2OZ6DBI5FBJGAQGOEVY5IYXZT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T15:13:52Z","links":{"resolver":"https://pith.science/pith/W2OZ6DBI5FBJGAQGOEVY5IYXZT","bundle":"https://pith.science/pith/W2OZ6DBI5FBJGAQGOEVY5IYXZT/bundle.json","state":"https://pith.science/pith/W2OZ6DBI5FBJGAQGOEVY5IYXZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W2OZ6DBI5FBJGAQGOEVY5IYXZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:W2OZ6DBI5FBJGAQGOEVY5IYXZT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e14af15c297486a225122b24050cd9ae01ab9d013838a1285c6a045ed8ed8d11","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-28T05:33:29Z","title_canon_sha256":"4305ebfdba06abe80ac19cdb8a89b5f3c267b8c0852c79ffa4ae17261fe73c72"},"schema_version":"1.0","source":{"id":"1407.7325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7325","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7325v1","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7325","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"W2OZ6DBI5FBJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W2OZ6DBI5FBJGAQG","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W2OZ6DBI","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:0ab9b1eac3a5fdf63c3572bd4dbd8f55c5a7750385546f602c301ce76983ba59","target":"graph","created_at":"2026-05-18T02:41:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Under the standard perturbation theory (SPT), we obtain the fully consistent third-order density fluctuation and kernels for the general dark energy models without using the Einstein-de Sitter (EdS) universe assumption for the first time. We also show that even though the temporal and spatial components of the SPT solutions can not be separable, one can find the exact solutions to any order in general dark energy models. With these exact solutions, we obtain the less than \\% error correction of one-loop matter power spectrum compared to that obtained from the EdS assumption for $k = 0.1 {\\rm h","authors_text":"Changbom Park, Sang Gyu Biern, Seokcheon Lee","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-28T05:33:29Z","title":"Exact Third-Order Density Perturbation and One-Loop Power Spectrum in General Dark Energy Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7325","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:af77d45fc85fa4245dc222e387cdef2c8b7730fa16e5f64e151336b834452598","target":"record","created_at":"2026-05-18T02:41:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e14af15c297486a225122b24050cd9ae01ab9d013838a1285c6a045ed8ed8d11","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-28T05:33:29Z","title_canon_sha256":"4305ebfdba06abe80ac19cdb8a89b5f3c267b8c0852c79ffa4ae17261fe73c72"},"schema_version":"1.0","source":{"id":"1407.7325","kind":"arxiv","version":1}},"canonical_sha256":"b69d9f0c28e942930206712b8ea317ccef8825838fe0d7f9c66586b1e8e9eca4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b69d9f0c28e942930206712b8ea317ccef8825838fe0d7f9c66586b1e8e9eca4","first_computed_at":"2026-05-18T02:41:03.351333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:03.351333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l/J51bFpnj7tak+DnZ1YSP4H8R2Ac3Exce4kB3d3CZZpxPOBVFnVaem1cK0XP25UkC5N2hvTbNzyoYo8XNyuBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:03.351870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af77d45fc85fa4245dc222e387cdef2c8b7730fa16e5f64e151336b834452598","sha256:0ab9b1eac3a5fdf63c3572bd4dbd8f55c5a7750385546f602c301ce76983ba59"],"state_sha256":"6f72117718a747e45ba5dc98283f5e626a963ddaa4a204ac96f04f196a94e9fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZfvmmXJKbZZMhBBBG2kenevq2GBRxF5qdxzZwfn8VO8xSb5UtrFi+0/wofzNO6dbGJ1upJrl2i/I9Max8IBvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T15:13:52.028870Z","bundle_sha256":"ec40f2e11f395273f622cfc5d9ffee023876672f56196f65863a201d5cb39ba4"}}