{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WJFP7DMQMGKIBEM2L33SXHO46M","short_pith_number":"pith:WJFP7DMQ","canonical_record":{"source":{"id":"1605.05264","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-05-17T17:57:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"9011291c3ebb463a08388e862796c06954f50762717105561ebf4145bef6aff8","abstract_canon_sha256":"6ce27d4fe1eb1320c7c33a15b54e56943bdec8571076b9244a631fd9bae37d95"},"schema_version":"1.0"},"canonical_sha256":"b24aff8d90619480919a5ef72b9ddcf33f64d74eb0f49473abe9b6159786cbdc","source":{"kind":"arxiv","id":"1605.05264","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05264","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05264v3","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05264","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"pith_short_12","alias_value":"WJFP7DMQMGKI","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WJFP7DMQMGKIBEM2","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WJFP7DMQ","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WJFP7DMQMGKIBEM2L33SXHO46M","target":"record","payload":{"canonical_record":{"source":{"id":"1605.05264","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-05-17T17:57:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"9011291c3ebb463a08388e862796c06954f50762717105561ebf4145bef6aff8","abstract_canon_sha256":"6ce27d4fe1eb1320c7c33a15b54e56943bdec8571076b9244a631fd9bae37d95"},"schema_version":"1.0"},"canonical_sha256":"b24aff8d90619480919a5ef72b9ddcf33f64d74eb0f49473abe9b6159786cbdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:51.991011Z","signature_b64":"q64im1ho1WdlhMFNNSfp9irXjjS3E5e9+sQa+ThWtdKKzDTf+hQgQvjmA2VY2tUiG8bh9IlRDxwXAljeAdpkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b24aff8d90619480919a5ef72b9ddcf33f64d74eb0f49473abe9b6159786cbdc","last_reissued_at":"2026-05-18T00:55:51.990474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:51.990474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.05264","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:55:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Um+W3QIxRiyoWhD5IICiSxqwSrhGWY+n0T+F2ZMvjiRTsj4MN5G8HW/cJavs0FQ2kfA/262DdXC+frWY8grWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:03:26.849657Z"},"content_sha256":"6142255255e1d40783356af1804ae7379119074b8b4d3ebd8b033e50040b74b3","schema_version":"1.0","event_id":"sha256:6142255255e1d40783356af1804ae7379119074b8b4d3ebd8b033e50040b74b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WJFP7DMQMGKIBEM2L33SXHO46M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic study of the effect of dark energy-dark matter interaction on the growth of structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Andr\\'e A. Costa, Bin Wang, Elcio Abdalla, Rafael J. F. Marcondes, Ricardo C. G. Landim","submitted_at":"2016-05-17T17:57:24Z","abstract_excerpt":"Large-scale structure has been shown as a promising cosmic probe for distinguishing and constraining dark energy models. Using the growth index parametrization, we obtain an analytic formula for the growth rate of structures in a coupled dark energy model in which the exchange of energy-momentum is proportional to the dark energy density. We find that the evolution of $f \\sigma_8$ can be determined analytically once we know the coupling, the dark energy equation of state, the present value of the dark energy density parameter and the current mean amplitude of dark matter fluctuations. After co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05264","kind":"arxiv","version":3},"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":"2026-05-18T00:55:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kaZuu4L7N4q8YZVwKVevonR0Bv0SleVbPN3T9ORsRIgCrJa4d7Yvg2kUtEP2t59BS683cBrqbrYI83FHW2F8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:03:26.850004Z"},"content_sha256":"2f3b36ecd47b7d61c1125ca569135ee0f50e272cddf36abaa1d3b5e06dbb832c","schema_version":"1.0","event_id":"sha256:2f3b36ecd47b7d61c1125ca569135ee0f50e272cddf36abaa1d3b5e06dbb832c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WJFP7DMQMGKIBEM2L33SXHO46M/bundle.json","state_url":"https://pith.science/pith/WJFP7DMQMGKIBEM2L33SXHO46M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WJFP7DMQMGKIBEM2L33SXHO46M/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":"2026-06-04T06:03:26Z","links":{"resolver":"https://pith.science/pith/WJFP7DMQMGKIBEM2L33SXHO46M","bundle":"https://pith.science/pith/WJFP7DMQMGKIBEM2L33SXHO46M/bundle.json","state":"https://pith.science/pith/WJFP7DMQMGKIBEM2L33SXHO46M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WJFP7DMQMGKIBEM2L33SXHO46M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WJFP7DMQMGKIBEM2L33SXHO46M","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":"6ce27d4fe1eb1320c7c33a15b54e56943bdec8571076b9244a631fd9bae37d95","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-05-17T17:57:24Z","title_canon_sha256":"9011291c3ebb463a08388e862796c06954f50762717105561ebf4145bef6aff8"},"schema_version":"1.0","source":{"id":"1605.05264","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05264","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05264v3","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05264","created_at":"2026-05-18T00:55:51Z"},{"alias_kind":"pith_short_12","alias_value":"WJFP7DMQMGKI","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WJFP7DMQMGKIBEM2","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WJFP7DMQ","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:2f3b36ecd47b7d61c1125ca569135ee0f50e272cddf36abaa1d3b5e06dbb832c","target":"graph","created_at":"2026-05-18T00:55:51Z","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":"Large-scale structure has been shown as a promising cosmic probe for distinguishing and constraining dark energy models. Using the growth index parametrization, we obtain an analytic formula for the growth rate of structures in a coupled dark energy model in which the exchange of energy-momentum is proportional to the dark energy density. We find that the evolution of $f \\sigma_8$ can be determined analytically once we know the coupling, the dark energy equation of state, the present value of the dark energy density parameter and the current mean amplitude of dark matter fluctuations. After co","authors_text":"Andr\\'e A. Costa, Bin Wang, Elcio Abdalla, Rafael J. F. Marcondes, Ricardo C. G. Landim","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-05-17T17:57:24Z","title":"Analytic study of the effect of dark energy-dark matter interaction on the growth of structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05264","kind":"arxiv","version":3},"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":"sha256:6142255255e1d40783356af1804ae7379119074b8b4d3ebd8b033e50040b74b3","target":"record","created_at":"2026-05-18T00:55:51Z","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":"6ce27d4fe1eb1320c7c33a15b54e56943bdec8571076b9244a631fd9bae37d95","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-05-17T17:57:24Z","title_canon_sha256":"9011291c3ebb463a08388e862796c06954f50762717105561ebf4145bef6aff8"},"schema_version":"1.0","source":{"id":"1605.05264","kind":"arxiv","version":3}},"canonical_sha256":"b24aff8d90619480919a5ef72b9ddcf33f64d74eb0f49473abe9b6159786cbdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b24aff8d90619480919a5ef72b9ddcf33f64d74eb0f49473abe9b6159786cbdc","first_computed_at":"2026-05-18T00:55:51.990474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:51.990474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q64im1ho1WdlhMFNNSfp9irXjjS3E5e9+sQa+ThWtdKKzDTf+hQgQvjmA2VY2tUiG8bh9IlRDxwXAljeAdpkDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:51.991011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05264","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6142255255e1d40783356af1804ae7379119074b8b4d3ebd8b033e50040b74b3","sha256:2f3b36ecd47b7d61c1125ca569135ee0f50e272cddf36abaa1d3b5e06dbb832c"],"state_sha256":"307da97f65f9e120b02e27be6be1ac80a1381e684a7ce32d45a08b4d14bca77e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6VvTXqkLR2SZiGIq/HG6e6GrGdtEg8J17eh5KoViSwZFChOf9pgBPnZcqnkWB/HDtfQ93GKb78CbpE1EHGVDAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:03:26.851974Z","bundle_sha256":"a9761a3ee1c24ffe4bd3bbaf684a889c30c219acfd86f5e04e830d74d7a1204f"}}