{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FCPNXDUPJQMJIBYSFVAEG72E2X","short_pith_number":"pith:FCPNXDUP","canonical_record":{"source":{"id":"1004.3341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-20T04:10:53Z","cross_cats_sorted":[],"title_canon_sha256":"1cf62892c92ae78c05520b9cf550a6946854dd21b803a411a5bd5a91a044fdc8","abstract_canon_sha256":"4795c4c76756fa2b23c9c65dc3de76cfd816540f8f25639075923c1b673e6355"},"schema_version":"1.0"},"canonical_sha256":"289edb8e8f4c189407122d40437f44d5cd4e791a8e542989051549b387b7ba09","source":{"kind":"arxiv","id":"1004.3341","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3341","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3341v1","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3341","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"FCPNXDUPJQMJ","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"pith_short_16","alias_value":"FCPNXDUPJQMJIBYS","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"pith_short_8","alias_value":"FCPNXDUP","created_at":"2026-07-04T17:28:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FCPNXDUPJQMJIBYSFVAEG72E2X","target":"record","payload":{"canonical_record":{"source":{"id":"1004.3341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-20T04:10:53Z","cross_cats_sorted":[],"title_canon_sha256":"1cf62892c92ae78c05520b9cf550a6946854dd21b803a411a5bd5a91a044fdc8","abstract_canon_sha256":"4795c4c76756fa2b23c9c65dc3de76cfd816540f8f25639075923c1b673e6355"},"schema_version":"1.0"},"canonical_sha256":"289edb8e8f4c189407122d40437f44d5cd4e791a8e542989051549b387b7ba09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:28:53.034744Z","signature_b64":"kQt/MJM3KdEHNHEfai7X8N1HijIjgRvdF45rqFRRo5+s1zWZPmQUiZM3lQZdRkCsjHhm243WRzLDFsEPt7ACCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"289edb8e8f4c189407122d40437f44d5cd4e791a8e542989051549b387b7ba09","last_reissued_at":"2026-07-04T17:28:53.034340Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:28:53.034340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.3341","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":"2026-07-04T17:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3vUsFKBrZPa/C0gOOtt9BerSBikoqB3GtvfZoQZoS6aZxI3vGb19Sn2dGQOH4jFK2zJVM5OCCRtkK3mJzQLJDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T07:20:16.890283Z"},"content_sha256":"beca8bf3d918071074cfa27af1fde26290e01859559a9064ffac374f42be69ad","schema_version":"1.0","event_id":"sha256:beca8bf3d918071074cfa27af1fde26290e01859559a9064ffac374f42be69ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FCPNXDUPJQMJIBYSFVAEG72E2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Integrated Sachs-Wolfe Effect in Time Varying Vacuum Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Jianbo Lu, Lixin Xu, Yuan-Xing Gui, Yuting Wang","submitted_at":"2010-04-20T04:10:53Z","abstract_excerpt":"The integrated Sachs-Wolfe (ISW) effect is an important implication for dark energy. In this paper, we have calculated the power spectrum of the ISW effect in the time varying vacuum cosmological model, where the model parameter $\\beta=4.407$ is obtained by the observational constraint of the growth rate. It's found that the source of the ISW effect is not only affected by the different evolutions of the Hubble function $H(a)$ and the dimensionless matter density $\\Omega_m(a)$, but also by the different growth function $D_+(a)$, all of which are changed due to the presence of matter production"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3341","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1004.3341/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y43jrJ4m/6CrzL7mFNfGdp85Y27VvIMgHBlZ+ycO0MPEu1oSmVgL6ev+OLCoVX1WHTEJEommZi56OA0w/GXMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T07:20:16.890918Z"},"content_sha256":"8950d6feed674c226b1ef2122e4c190d388a121e29dfe553799e1eca35db13fc","schema_version":"1.0","event_id":"sha256:8950d6feed674c226b1ef2122e4c190d388a121e29dfe553799e1eca35db13fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCPNXDUPJQMJIBYSFVAEG72E2X/bundle.json","state_url":"https://pith.science/pith/FCPNXDUPJQMJIBYSFVAEG72E2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCPNXDUPJQMJIBYSFVAEG72E2X/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":"2026-08-11T07:20:16Z","links":{"resolver":"https://pith.science/pith/FCPNXDUPJQMJIBYSFVAEG72E2X","bundle":"https://pith.science/pith/FCPNXDUPJQMJIBYSFVAEG72E2X/bundle.json","state":"https://pith.science/pith/FCPNXDUPJQMJIBYSFVAEG72E2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCPNXDUPJQMJIBYSFVAEG72E2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FCPNXDUPJQMJIBYSFVAEG72E2X","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":"4795c4c76756fa2b23c9c65dc3de76cfd816540f8f25639075923c1b673e6355","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-20T04:10:53Z","title_canon_sha256":"1cf62892c92ae78c05520b9cf550a6946854dd21b803a411a5bd5a91a044fdc8"},"schema_version":"1.0","source":{"id":"1004.3341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3341","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3341v1","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3341","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"FCPNXDUPJQMJ","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"pith_short_16","alias_value":"FCPNXDUPJQMJIBYS","created_at":"2026-07-04T17:28:53Z"},{"alias_kind":"pith_short_8","alias_value":"FCPNXDUP","created_at":"2026-07-04T17:28:53Z"}],"graph_snapshots":[{"event_id":"sha256:8950d6feed674c226b1ef2122e4c190d388a121e29dfe553799e1eca35db13fc","target":"graph","created_at":"2026-07-04T17:28:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1004.3341/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The integrated Sachs-Wolfe (ISW) effect is an important implication for dark energy. In this paper, we have calculated the power spectrum of the ISW effect in the time varying vacuum cosmological model, where the model parameter $\\beta=4.407$ is obtained by the observational constraint of the growth rate. It's found that the source of the ISW effect is not only affected by the different evolutions of the Hubble function $H(a)$ and the dimensionless matter density $\\Omega_m(a)$, but also by the different growth function $D_+(a)$, all of which are changed due to the presence of matter production","authors_text":"Jianbo Lu, Lixin Xu, Yuan-Xing Gui, Yuting Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-20T04:10:53Z","title":"The Integrated Sachs-Wolfe Effect in Time Varying Vacuum Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3341","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:beca8bf3d918071074cfa27af1fde26290e01859559a9064ffac374f42be69ad","target":"record","created_at":"2026-07-04T17:28:53Z","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":"4795c4c76756fa2b23c9c65dc3de76cfd816540f8f25639075923c1b673e6355","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-04-20T04:10:53Z","title_canon_sha256":"1cf62892c92ae78c05520b9cf550a6946854dd21b803a411a5bd5a91a044fdc8"},"schema_version":"1.0","source":{"id":"1004.3341","kind":"arxiv","version":1}},"canonical_sha256":"289edb8e8f4c189407122d40437f44d5cd4e791a8e542989051549b387b7ba09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"289edb8e8f4c189407122d40437f44d5cd4e791a8e542989051549b387b7ba09","first_computed_at":"2026-07-04T17:28:53.034340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:28:53.034340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kQt/MJM3KdEHNHEfai7X8N1HijIjgRvdF45rqFRRo5+s1zWZPmQUiZM3lQZdRkCsjHhm243WRzLDFsEPt7ACCA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:28:53.034744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:beca8bf3d918071074cfa27af1fde26290e01859559a9064ffac374f42be69ad","sha256:8950d6feed674c226b1ef2122e4c190d388a121e29dfe553799e1eca35db13fc"],"state_sha256":"34795fdaba8800e1a33667e35ba38992f19b1cc725cf3e35bca521f4d9456301"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"32JbeVkWyWNm2s4kd3CNtTDQmb81+DfBkyKNVEEs/XiYBIuACaNZMgTmhS6Darw1Br9etkwPDGd9P/+w7hotCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T07:20:16.896286Z","bundle_sha256":"f624d543996c70696e4a5f4c4ae30247d1d8f09232895542c9d91af2e69e5e59"}}