{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:OFFRJ3R2M5NA7F2NWCHVWK3JV5","short_pith_number":"pith:OFFRJ3R2","canonical_record":{"source":{"id":"1310.8571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-31T16:14:18Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"9ad42490e6eaa54a206b036710c0a41cc993e13cb2f399529371f773968dc097","abstract_canon_sha256":"d47e0ae41a1e9b94d95e22833bd0501aa16094bf02f9b70c5ec6fcf30d3526d1"},"schema_version":"1.0"},"canonical_sha256":"714b14ee3a675a0f974db08f5b2b69af6d86c782995292823d051e2f666e86ee","source":{"kind":"arxiv","id":"1310.8571","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8571","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8571v1","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8571","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"OFFRJ3R2M5NA","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OFFRJ3R2M5NA7F2N","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OFFRJ3R2","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:OFFRJ3R2M5NA7F2NWCHVWK3JV5","target":"record","payload":{"canonical_record":{"source":{"id":"1310.8571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-31T16:14:18Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"9ad42490e6eaa54a206b036710c0a41cc993e13cb2f399529371f773968dc097","abstract_canon_sha256":"d47e0ae41a1e9b94d95e22833bd0501aa16094bf02f9b70c5ec6fcf30d3526d1"},"schema_version":"1.0"},"canonical_sha256":"714b14ee3a675a0f974db08f5b2b69af6d86c782995292823d051e2f666e86ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:16.621668Z","signature_b64":"QOcbErUu4Wj3MYkMhWA+q05n/tZl/dP1j+7S59oE04BKy+lpEBzr3MQkrEXHziRwveuz2L3ziJzx41m0zkEeAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"714b14ee3a675a0f974db08f5b2b69af6d86c782995292823d051e2f666e86ee","last_reissued_at":"2026-05-18T03:08:16.621196Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:16.621196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.8571","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":"2026-05-18T03:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpIgVLDDb9CrmOqa7qWa85kRYWUfjUW4x6qhFdDILaq8v+soCQUXwxIf4TBFujnV2nj4IzgqGbsid7QQ42/PAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:28:56.368577Z"},"content_sha256":"c7fd25ae5c2de5df6464cc8a3c31ee8240603cb6a59b4eea322bfb04fcde4568","schema_version":"1.0","event_id":"sha256:c7fd25ae5c2de5df6464cc8a3c31ee8240603cb6a59b4eea322bfb04fcde4568"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:OFFRJ3R2M5NA7F2NWCHVWK3JV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probing a cosmological model with a $\\Lambda = \\Lambda_0 + 3\\beta H^2$ decaying-vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Dennis Bessada, Oswaldo D. Miranda","submitted_at":"2013-10-31T16:14:18Z","abstract_excerpt":"In this work we study the evolution of matter-density perturbations for an arbitrary $\\Lambda(t)$ model, and specialize our analysis to the particular phenomenological law $\\Lambda = \\Lambda_0 + 3\\beta H^2$. We study the evolution of the cosmic star formation rate in this particular dark energy scenario and, by constraining the $\\beta$ parameter using both the age of the universe and the cosmic star formation rate curve, we show that it leads to a reasonable physical model for $\\beta\\lesssim 0.1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8571","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":"2026-05-18T03:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ouJKReHps7ujUr3Q+raxgjkWbCjn6pWR8BaKJgFBRLqOp+DnLHn+A3nh9aSFJ9ngMlFWrwhhkqECY2ybzmlmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:28:56.369228Z"},"content_sha256":"6f42fbdc5ba868734fd59da9901b54067543afc0dddf15e0e5296a93c74b6c39","schema_version":"1.0","event_id":"sha256:6f42fbdc5ba868734fd59da9901b54067543afc0dddf15e0e5296a93c74b6c39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OFFRJ3R2M5NA7F2NWCHVWK3JV5/bundle.json","state_url":"https://pith.science/pith/OFFRJ3R2M5NA7F2NWCHVWK3JV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OFFRJ3R2M5NA7F2NWCHVWK3JV5/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":"2026-05-27T10:28:56Z","links":{"resolver":"https://pith.science/pith/OFFRJ3R2M5NA7F2NWCHVWK3JV5","bundle":"https://pith.science/pith/OFFRJ3R2M5NA7F2NWCHVWK3JV5/bundle.json","state":"https://pith.science/pith/OFFRJ3R2M5NA7F2NWCHVWK3JV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OFFRJ3R2M5NA7F2NWCHVWK3JV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OFFRJ3R2M5NA7F2NWCHVWK3JV5","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":"d47e0ae41a1e9b94d95e22833bd0501aa16094bf02f9b70c5ec6fcf30d3526d1","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-31T16:14:18Z","title_canon_sha256":"9ad42490e6eaa54a206b036710c0a41cc993e13cb2f399529371f773968dc097"},"schema_version":"1.0","source":{"id":"1310.8571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8571","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8571v1","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8571","created_at":"2026-05-18T03:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"OFFRJ3R2M5NA","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OFFRJ3R2M5NA7F2N","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OFFRJ3R2","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:6f42fbdc5ba868734fd59da9901b54067543afc0dddf15e0e5296a93c74b6c39","target":"graph","created_at":"2026-05-18T03:08:16Z","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":"In this work we study the evolution of matter-density perturbations for an arbitrary $\\Lambda(t)$ model, and specialize our analysis to the particular phenomenological law $\\Lambda = \\Lambda_0 + 3\\beta H^2$. We study the evolution of the cosmic star formation rate in this particular dark energy scenario and, by constraining the $\\beta$ parameter using both the age of the universe and the cosmic star formation rate curve, we show that it leads to a reasonable physical model for $\\beta\\lesssim 0.1$.","authors_text":"Dennis Bessada, Oswaldo D. Miranda","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-31T16:14:18Z","title":"Probing a cosmological model with a $\\Lambda = \\Lambda_0 + 3\\beta H^2$ decaying-vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8571","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:c7fd25ae5c2de5df6464cc8a3c31ee8240603cb6a59b4eea322bfb04fcde4568","target":"record","created_at":"2026-05-18T03:08:16Z","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":"d47e0ae41a1e9b94d95e22833bd0501aa16094bf02f9b70c5ec6fcf30d3526d1","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-10-31T16:14:18Z","title_canon_sha256":"9ad42490e6eaa54a206b036710c0a41cc993e13cb2f399529371f773968dc097"},"schema_version":"1.0","source":{"id":"1310.8571","kind":"arxiv","version":1}},"canonical_sha256":"714b14ee3a675a0f974db08f5b2b69af6d86c782995292823d051e2f666e86ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"714b14ee3a675a0f974db08f5b2b69af6d86c782995292823d051e2f666e86ee","first_computed_at":"2026-05-18T03:08:16.621196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:16.621196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QOcbErUu4Wj3MYkMhWA+q05n/tZl/dP1j+7S59oE04BKy+lpEBzr3MQkrEXHziRwveuz2L3ziJzx41m0zkEeAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:16.621668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7fd25ae5c2de5df6464cc8a3c31ee8240603cb6a59b4eea322bfb04fcde4568","sha256:6f42fbdc5ba868734fd59da9901b54067543afc0dddf15e0e5296a93c74b6c39"],"state_sha256":"c7d594bc4a6dd88a5b9b515bdf68959e5d68ddebb32af746e9b62e65282251e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ym0C9HrZXYJlnqWX7SZTAil2zBHL7aeIeG6q0+k/ecHuSALX9E1g/S1Mhim2PKWVVBUOMRkxFlfzAAwIdxcAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T10:28:56.372951Z","bundle_sha256":"eba0ac5a033eb94475c7d465a88315755df9fd6b172c0994c1dec7c2b15226de"}}