{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KSO6IURTWHA6SD3F5UDT7TC4OB","short_pith_number":"pith:KSO6IURT","canonical_record":{"source":{"id":"2405.15296","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-05-24T07:33:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"26e515f3041938f00db47f1dfbf07b9fc9f3727f78dfb4083dd3fa288614a1aa","abstract_canon_sha256":"f1286d65405665a385c174160bb83a6d15718d6eb661ebacd15a211e745b9ce6"},"schema_version":"1.0"},"canonical_sha256":"549de45233b1c1e90f65ed073fcc5c70629a154e28e930c5608d8c326fe78c34","source":{"kind":"arxiv","id":"2405.15296","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.15296","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"arxiv_version","alias_value":"2405.15296v1","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.15296","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"pith_short_12","alias_value":"KSO6IURTWHA6","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"pith_short_16","alias_value":"KSO6IURTWHA6SD3F","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"pith_short_8","alias_value":"KSO6IURT","created_at":"2026-07-05T08:22:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KSO6IURTWHA6SD3F5UDT7TC4OB","target":"record","payload":{"canonical_record":{"source":{"id":"2405.15296","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-05-24T07:33:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"26e515f3041938f00db47f1dfbf07b9fc9f3727f78dfb4083dd3fa288614a1aa","abstract_canon_sha256":"f1286d65405665a385c174160bb83a6d15718d6eb661ebacd15a211e745b9ce6"},"schema_version":"1.0"},"canonical_sha256":"549de45233b1c1e90f65ed073fcc5c70629a154e28e930c5608d8c326fe78c34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:22:47.469327Z","signature_b64":"XWLNtu0LXMl+/0ISJU8/qy9YMt8v6lKxwDO3WzXathgyaKwqYgUyVARNHTrQFFPZcuHq9+UKo1/MBn+1RKY7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"549de45233b1c1e90f65ed073fcc5c70629a154e28e930c5608d8c326fe78c34","last_reissued_at":"2026-07-05T08:22:47.468922Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:22:47.468922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.15296","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":"2026-07-05T08:22:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ooe4TH27uvz623387HQriVMv6nYmwnWKc4snimuznF4fEZW+W47DPBMdHlkJJGHOOwBzvooGhhvKVj1GKpqsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T19:42:27.469592Z"},"content_sha256":"b61c77ba891926fa693bda00d79bcf1e96317999ece2d24694d0e058c545ac4d","schema_version":"1.0","event_id":"sha256:b61c77ba891926fa693bda00d79bcf1e96317999ece2d24694d0e058c545ac4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KSO6IURTWHA6SD3F5UDT7TC4OB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring interacting bulk viscous model with decaying vacuum density","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"C.P. Singh, Milan Srivastava, Vinita Khatri","submitted_at":"2024-05-24T07:33:42Z","abstract_excerpt":"In the present work, we study a cosmological model composed of a viscous dark matter interacting with decaying vacuum energy in a spatially flat Universe. In the first part, we find the analytical solution of different cosmological parameters by assuming the physically viable forms of bulk viscosity and decaying vacuum density with the interaction term. The second part is dedicated to constrain the free parameters of the interacting viscous model with decaying vacuum energy by employing latest observational data of $Pantheon+$, Cosmic Chronometer and $f(z)\\sigma_{8}(z)$. We find that the inter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.15296","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/2405.15296/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":"2026-07-05T08:22:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ftxMGJqGbzjfp62mrMUEx3tC4cnFKfuLpUkA43ioWL08iyopdbFRWlmzqTyvqC+Kx76ei/sZGTtrOWeuzdRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T19:42:27.470112Z"},"content_sha256":"697876d3f9552ccaf43d860905cd11b6de7e42e98a3929b6b2eb47001bd8fef6","schema_version":"1.0","event_id":"sha256:697876d3f9552ccaf43d860905cd11b6de7e42e98a3929b6b2eb47001bd8fef6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSO6IURTWHA6SD3F5UDT7TC4OB/bundle.json","state_url":"https://pith.science/pith/KSO6IURTWHA6SD3F5UDT7TC4OB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSO6IURTWHA6SD3F5UDT7TC4OB/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":"2026-08-20T19:42:27Z","links":{"resolver":"https://pith.science/pith/KSO6IURTWHA6SD3F5UDT7TC4OB","bundle":"https://pith.science/pith/KSO6IURTWHA6SD3F5UDT7TC4OB/bundle.json","state":"https://pith.science/pith/KSO6IURTWHA6SD3F5UDT7TC4OB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSO6IURTWHA6SD3F5UDT7TC4OB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KSO6IURTWHA6SD3F5UDT7TC4OB","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":"f1286d65405665a385c174160bb83a6d15718d6eb661ebacd15a211e745b9ce6","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-05-24T07:33:42Z","title_canon_sha256":"26e515f3041938f00db47f1dfbf07b9fc9f3727f78dfb4083dd3fa288614a1aa"},"schema_version":"1.0","source":{"id":"2405.15296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.15296","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"arxiv_version","alias_value":"2405.15296v1","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.15296","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"pith_short_12","alias_value":"KSO6IURTWHA6","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"pith_short_16","alias_value":"KSO6IURTWHA6SD3F","created_at":"2026-07-05T08:22:47Z"},{"alias_kind":"pith_short_8","alias_value":"KSO6IURT","created_at":"2026-07-05T08:22:47Z"}],"graph_snapshots":[{"event_id":"sha256:697876d3f9552ccaf43d860905cd11b6de7e42e98a3929b6b2eb47001bd8fef6","target":"graph","created_at":"2026-07-05T08:22:47Z","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/2405.15296/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the present work, we study a cosmological model composed of a viscous dark matter interacting with decaying vacuum energy in a spatially flat Universe. In the first part, we find the analytical solution of different cosmological parameters by assuming the physically viable forms of bulk viscosity and decaying vacuum density with the interaction term. The second part is dedicated to constrain the free parameters of the interacting viscous model with decaying vacuum energy by employing latest observational data of $Pantheon+$, Cosmic Chronometer and $f(z)\\sigma_{8}(z)$. We find that the inter","authors_text":"C.P. Singh, Milan Srivastava, Vinita Khatri","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-05-24T07:33:42Z","title":"Exploring interacting bulk viscous model with decaying vacuum density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.15296","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:b61c77ba891926fa693bda00d79bcf1e96317999ece2d24694d0e058c545ac4d","target":"record","created_at":"2026-07-05T08:22:47Z","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":"f1286d65405665a385c174160bb83a6d15718d6eb661ebacd15a211e745b9ce6","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-05-24T07:33:42Z","title_canon_sha256":"26e515f3041938f00db47f1dfbf07b9fc9f3727f78dfb4083dd3fa288614a1aa"},"schema_version":"1.0","source":{"id":"2405.15296","kind":"arxiv","version":1}},"canonical_sha256":"549de45233b1c1e90f65ed073fcc5c70629a154e28e930c5608d8c326fe78c34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"549de45233b1c1e90f65ed073fcc5c70629a154e28e930c5608d8c326fe78c34","first_computed_at":"2026-07-05T08:22:47.468922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:22:47.468922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XWLNtu0LXMl+/0ISJU8/qy9YMt8v6lKxwDO3WzXathgyaKwqYgUyVARNHTrQFFPZcuHq9+UKo1/MBn+1RKY7Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:22:47.469327Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.15296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b61c77ba891926fa693bda00d79bcf1e96317999ece2d24694d0e058c545ac4d","sha256:697876d3f9552ccaf43d860905cd11b6de7e42e98a3929b6b2eb47001bd8fef6"],"state_sha256":"350ee693b61bf73010b7e56ffeb6e05a0ecb6b225298f7ba7a48d49657251f18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UY+wHDFqymkIS0TA9zUpno7AWA11IOyzO6XvItzahaAHrGK+YidKJ2U3AD4L+TvIxzZDPqnRbqOy7c6BOqX5Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T19:42:27.474683Z","bundle_sha256":"89135410307c62d8d9bed5b02f7b3917061a752ec905194a00e39f03c1002aa4"}}