{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:PEX6K2SFBSY2E7GRQF47BXQKT4","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":"9ec791498f41a1e860302264076134f50017dca57f58637f97cb2d01e145ec61","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-06-17T15:24:58Z","title_canon_sha256":"a7bd18a74762dd2f2064e251f019da5499f8d705c990f0348920a060b5eb795b"},"schema_version":"1.0","source":{"id":"2106.09595","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.09595","created_at":"2026-07-05T03:35:29Z"},{"alias_kind":"arxiv_version","alias_value":"2106.09595v3","created_at":"2026-07-05T03:35:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.09595","created_at":"2026-07-05T03:35:29Z"},{"alias_kind":"pith_short_12","alias_value":"PEX6K2SFBSY2","created_at":"2026-07-05T03:35:29Z"},{"alias_kind":"pith_short_16","alias_value":"PEX6K2SFBSY2E7GR","created_at":"2026-07-05T03:35:29Z"},{"alias_kind":"pith_short_8","alias_value":"PEX6K2SF","created_at":"2026-07-05T03:35:29Z"}],"graph_snapshots":[{"event_id":"sha256:71af98c0c4abfc0c1b6c507c67c6b32f116499fac155a4495ce1e4c79bbd1eb7","target":"graph","created_at":"2026-07-05T03:35:29Z","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/2106.09595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the Minimal Theory of Massive Gravity (MTMG) in the light of different observational data sets which are in tension within the $\\Lambda$CDM cosmology. In particular, we analyze MTMG model, for the first time, with the Planck-CMB data, and how these precise measurements affect the free parameters of the theory. The MTMG model can affect the CMB power spectrum at large angular scales and cause a suppression on the amplitude of the matter power spectrum. We find that on adding Planck-CMB data, the graviton has a small, positive, but non-zero mass at 68\\% confidence level, and from ","authors_text":"Antonio De Felice, Jose C. N. de Araujo, Rafael C. Nunes, Suresh Kumar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-06-17T15:24:58Z","title":"Minimal theory of massive gravity in the light of CMB data and the $S_8$ tension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.09595","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":"sha256:14b3d0c7951ce6535c50ad2f48752c510c03fd46fc2f7528422e32c0d1fef4c2","target":"record","created_at":"2026-07-05T03:35:29Z","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":"9ec791498f41a1e860302264076134f50017dca57f58637f97cb2d01e145ec61","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-06-17T15:24:58Z","title_canon_sha256":"a7bd18a74762dd2f2064e251f019da5499f8d705c990f0348920a060b5eb795b"},"schema_version":"1.0","source":{"id":"2106.09595","kind":"arxiv","version":3}},"canonical_sha256":"792fe56a450cb1a27cd18179f0de0a9f22837ef93fb102841691e35cabc0d6b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"792fe56a450cb1a27cd18179f0de0a9f22837ef93fb102841691e35cabc0d6b6","first_computed_at":"2026-07-05T03:35:29.425641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:35:29.425641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BV/9wWko9ezv2I3r0ZMjGM+2DTFdqBGZDd1fyhgYAuuFgJDIk/gzAsdyNEUK4HKJ9F43jA1MrIQ/8bVP66aaAA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:35:29.426081Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.09595","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14b3d0c7951ce6535c50ad2f48752c510c03fd46fc2f7528422e32c0d1fef4c2","sha256:71af98c0c4abfc0c1b6c507c67c6b32f116499fac155a4495ce1e4c79bbd1eb7"],"state_sha256":"0c7bee5f9102a60709b85cc69aed0e1ce0318e2d8e3dfc95ec91542270ea2c77"}