{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DXY2XCRFROSGVNSWFXGLHT2OJ6","short_pith_number":"pith:DXY2XCRF","canonical_record":{"source":{"id":"2502.12915","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-18T14:55:53Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1792227791430cf6be6652bc7db377d8d89134b19863eca83cdf7d82d5d908c2","abstract_canon_sha256":"0cf142e3b4f0cb196c6ad0aaa1c6a9acf017b847d0800b0487e3daa6241dbc8e"},"schema_version":"1.0"},"canonical_sha256":"1df1ab8a258ba46ab6562dccb3cf4e4f81684c0af1df801abccdc33d56baa456","source":{"kind":"arxiv","id":"2502.12915","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.12915","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"2502.12915v2","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.12915","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"DXY2XCRFROSG","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"pith_short_16","alias_value":"DXY2XCRFROSGVNSW","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"pith_short_8","alias_value":"DXY2XCRF","created_at":"2026-07-05T10:41:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DXY2XCRFROSGVNSWFXGLHT2OJ6","target":"record","payload":{"canonical_record":{"source":{"id":"2502.12915","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-18T14:55:53Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1792227791430cf6be6652bc7db377d8d89134b19863eca83cdf7d82d5d908c2","abstract_canon_sha256":"0cf142e3b4f0cb196c6ad0aaa1c6a9acf017b847d0800b0487e3daa6241dbc8e"},"schema_version":"1.0"},"canonical_sha256":"1df1ab8a258ba46ab6562dccb3cf4e4f81684c0af1df801abccdc33d56baa456","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:41:52.600893Z","signature_b64":"N4Rm0pFz9FoTzlqDe3+IkeJwCSfoPQ1yHBY/z899QhXoZBad4RutUB1cBvYJNJb9EvalelGFbsFQ4VtDosu/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1df1ab8a258ba46ab6562dccb3cf4e4f81684c0af1df801abccdc33d56baa456","last_reissued_at":"2026-07-05T10:41:52.600347Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:41:52.600347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.12915","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:41:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dfgrl74r2BoCoRyozGr56HnCPZzyJJ9dQZz5xNvvZZ1rg1TWlcZuSmI+/EGTN035wSvkkNYbRxZfQAvM0CeaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-27T09:51:21.543703Z"},"content_sha256":"aca0c948cea47fcc9c04eccd0fb992f3ab1124e339f1bd6075432183999796cf","schema_version":"1.0","event_id":"sha256:aca0c948cea47fcc9c04eccd0fb992f3ab1124e339f1bd6075432183999796cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DXY2XCRFROSGVNSWFXGLHT2OJ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivalence of Dark Energy Models: A Theoretical and Bayesian Perspective","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"David Tamayo, Erick Urquilla, Isidro G\\'omez-Vargas","submitted_at":"2025-02-18T14:55:53Z","abstract_excerpt":"We explore the background equivalence among three dark energy models by constructing explicit mappings between dynamical dark energy (DDE), interacting dark energy (IDE), and running vacuum (RV). In our approach, the dark sector functions that characterize each model-such as the equation of state parameter $\\bar{w}(a)$ for DDE, the interaction term $Q$ for IDE, and the functional form $\\Lambda(H)$ for RV-are transformed into one another under specific assumptions. Extending previous work by von Marttens et al. (2020), we demonstrate that running vacuum models, characterized by $\\Lambda(H) = a_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.12915","kind":"arxiv","version":2},"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/2502.12915/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":"2026-07-05T10:41:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctKBm2k4k69ostQgzXl5UD5ola05KXABLAtkjBWQxc63m+KjYL3yw/efMTdcncDwBHMSprDmM3ZAPeKN4SlnCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-27T09:51:21.544084Z"},"content_sha256":"26e67cf2304ee17f1863e88cd34334ad1648d0842a82bdb92f70f26a0a4e36dc","schema_version":"1.0","event_id":"sha256:26e67cf2304ee17f1863e88cd34334ad1648d0842a82bdb92f70f26a0a4e36dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DXY2XCRFROSGVNSWFXGLHT2OJ6/bundle.json","state_url":"https://pith.science/pith/DXY2XCRFROSGVNSWFXGLHT2OJ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DXY2XCRFROSGVNSWFXGLHT2OJ6/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":"2026-07-27T09:51:21Z","links":{"resolver":"https://pith.science/pith/DXY2XCRFROSGVNSWFXGLHT2OJ6","bundle":"https://pith.science/pith/DXY2XCRFROSGVNSWFXGLHT2OJ6/bundle.json","state":"https://pith.science/pith/DXY2XCRFROSGVNSWFXGLHT2OJ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DXY2XCRFROSGVNSWFXGLHT2OJ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DXY2XCRFROSGVNSWFXGLHT2OJ6","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":"0cf142e3b4f0cb196c6ad0aaa1c6a9acf017b847d0800b0487e3daa6241dbc8e","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-18T14:55:53Z","title_canon_sha256":"1792227791430cf6be6652bc7db377d8d89134b19863eca83cdf7d82d5d908c2"},"schema_version":"1.0","source":{"id":"2502.12915","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.12915","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"2502.12915v2","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.12915","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"DXY2XCRFROSG","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"pith_short_16","alias_value":"DXY2XCRFROSGVNSW","created_at":"2026-07-05T10:41:52Z"},{"alias_kind":"pith_short_8","alias_value":"DXY2XCRF","created_at":"2026-07-05T10:41:52Z"}],"graph_snapshots":[{"event_id":"sha256:26e67cf2304ee17f1863e88cd34334ad1648d0842a82bdb92f70f26a0a4e36dc","target":"graph","created_at":"2026-07-05T10:41:52Z","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/2502.12915/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore the background equivalence among three dark energy models by constructing explicit mappings between dynamical dark energy (DDE), interacting dark energy (IDE), and running vacuum (RV). In our approach, the dark sector functions that characterize each model-such as the equation of state parameter $\\bar{w}(a)$ for DDE, the interaction term $Q$ for IDE, and the functional form $\\Lambda(H)$ for RV-are transformed into one another under specific assumptions. Extending previous work by von Marttens et al. (2020), we demonstrate that running vacuum models, characterized by $\\Lambda(H) = a_","authors_text":"David Tamayo, Erick Urquilla, Isidro G\\'omez-Vargas","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-18T14:55:53Z","title":"Equivalence of Dark Energy Models: A Theoretical and Bayesian Perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.12915","kind":"arxiv","version":2},"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:aca0c948cea47fcc9c04eccd0fb992f3ab1124e339f1bd6075432183999796cf","target":"record","created_at":"2026-07-05T10:41:52Z","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":"0cf142e3b4f0cb196c6ad0aaa1c6a9acf017b847d0800b0487e3daa6241dbc8e","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-02-18T14:55:53Z","title_canon_sha256":"1792227791430cf6be6652bc7db377d8d89134b19863eca83cdf7d82d5d908c2"},"schema_version":"1.0","source":{"id":"2502.12915","kind":"arxiv","version":2}},"canonical_sha256":"1df1ab8a258ba46ab6562dccb3cf4e4f81684c0af1df801abccdc33d56baa456","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1df1ab8a258ba46ab6562dccb3cf4e4f81684c0af1df801abccdc33d56baa456","first_computed_at":"2026-07-05T10:41:52.600347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:41:52.600347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N4Rm0pFz9FoTzlqDe3+IkeJwCSfoPQ1yHBY/z899QhXoZBad4RutUB1cBvYJNJb9EvalelGFbsFQ4VtDosu/DA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:41:52.600893Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.12915","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aca0c948cea47fcc9c04eccd0fb992f3ab1124e339f1bd6075432183999796cf","sha256:26e67cf2304ee17f1863e88cd34334ad1648d0842a82bdb92f70f26a0a4e36dc"],"state_sha256":"e0232b254f8d12b3f249658da33a4b535345c05cc658c9fa8378016e96b44821"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+7fMnnmlkBVUbndMo4357FKYqEwVhisn8RapWBGn+3msbRWXde97uVoNpugG0GYB35MG5dPdcGNqqEEJt/MDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-27T09:51:21.546596Z","bundle_sha256":"4a9e01f044eeab97fa3d98123f5e200ce39c9f7915ccd64ee843d07edd715e33"}}