{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:KN6PPMV3ZRSR2N2WUOVEF4IX7N","short_pith_number":"pith:KN6PPMV3","canonical_record":{"source":{"id":"2012.01073","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-12-02T10:39:32Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"250f9315f178a46b7ade0f93ab070cf9f8d4c3998a4b53978f1c54a6cf97e361","abstract_canon_sha256":"83d6ce376e8b98e4fbbdc86ac5d1a9a8da9c5fe13169bcebefe01c322533d3df"},"schema_version":"1.0"},"canonical_sha256":"537cf7b2bbcc651d3756a3aa42f117fb708790e2443c5bd9b510d6cb45c768a1","source":{"kind":"arxiv","id":"2012.01073","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.01073","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"2012.01073v1","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.01073","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"KN6PPMV3ZRSR","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"pith_short_16","alias_value":"KN6PPMV3ZRSR2N2W","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"pith_short_8","alias_value":"KN6PPMV3","created_at":"2026-07-05T02:42:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:KN6PPMV3ZRSR2N2WUOVEF4IX7N","target":"record","payload":{"canonical_record":{"source":{"id":"2012.01073","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-12-02T10:39:32Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"250f9315f178a46b7ade0f93ab070cf9f8d4c3998a4b53978f1c54a6cf97e361","abstract_canon_sha256":"83d6ce376e8b98e4fbbdc86ac5d1a9a8da9c5fe13169bcebefe01c322533d3df"},"schema_version":"1.0"},"canonical_sha256":"537cf7b2bbcc651d3756a3aa42f117fb708790e2443c5bd9b510d6cb45c768a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:42:45.565179Z","signature_b64":"7Qa3aC4atQRZF6IHIwTTsWusqrV9xOkan324BM1VTH6FwTBWETiPwFIvSJnryYxHS9MSIxO2PuA+fE9NH5FdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"537cf7b2bbcc651d3756a3aa42f117fb708790e2443c5bd9b510d6cb45c768a1","last_reissued_at":"2026-07-05T02:42:45.564634Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:42:45.564634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.01073","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":"2026-07-05T02:42:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YovXJsCOUF54hUaoZBkThD3QKyUmixe2jrdOgwyLjHzHWrvyGHiFPkBTIqa/MAjnyX0NaxqgWH+4ZTiMMu1lDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T07:40:07.993668Z"},"content_sha256":"360924a7d0ad437cdc45d4cd1f6e2dcfff0ab48409f18d892f8a50563f32968d","schema_version":"1.0","event_id":"sha256:360924a7d0ad437cdc45d4cd1f6e2dcfff0ab48409f18d892f8a50563f32968d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:KN6PPMV3ZRSR2N2WUOVEF4IX7N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimal Theory of Bigravity: construction and cosmology","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Antonio De Felice, Fran\\c{c}ois Larrouturou, Michele Oliosi, Shinji Mukohyama","submitted_at":"2020-12-02T10:39:32Z","abstract_excerpt":"Following the path of minimalism in alternative theories of gravity, we construct the \"Minimal Theory of Bigravity\" (MTBG), a theory of two interacting spin-2 fields that propagates only four local degrees of freedom instead of the usual seven ones and that allows for the same homogeneous and isotropic cosmological solutions as in Hassan-Rosen bigravity (HRBG). Starting from a precursor theory that propagates six local degrees of freedom, we carefully choose additional constraints to eliminate two of them to construct the theory. Investigating the cosmology of MTBG, we find that it accommodate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.01073","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/2012.01073/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":"2026-07-05T02:42:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jUpOoRLZs9ekQ11hbx9OV/kXGwcUGpXJKaCR4buWyLk0JeiClHq96a2bWS04gp8r8hEnYwbXEjcFV9Bov44oAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T07:40:07.994160Z"},"content_sha256":"4aaf896f7986548c685dd360523e40df7b2d91dce8dd49f195ef9a16ad54dab3","schema_version":"1.0","event_id":"sha256:4aaf896f7986548c685dd360523e40df7b2d91dce8dd49f195ef9a16ad54dab3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KN6PPMV3ZRSR2N2WUOVEF4IX7N/bundle.json","state_url":"https://pith.science/pith/KN6PPMV3ZRSR2N2WUOVEF4IX7N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KN6PPMV3ZRSR2N2WUOVEF4IX7N/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":"2026-08-01T07:40:07Z","links":{"resolver":"https://pith.science/pith/KN6PPMV3ZRSR2N2WUOVEF4IX7N","bundle":"https://pith.science/pith/KN6PPMV3ZRSR2N2WUOVEF4IX7N/bundle.json","state":"https://pith.science/pith/KN6PPMV3ZRSR2N2WUOVEF4IX7N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KN6PPMV3ZRSR2N2WUOVEF4IX7N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KN6PPMV3ZRSR2N2WUOVEF4IX7N","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":"83d6ce376e8b98e4fbbdc86ac5d1a9a8da9c5fe13169bcebefe01c322533d3df","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-12-02T10:39:32Z","title_canon_sha256":"250f9315f178a46b7ade0f93ab070cf9f8d4c3998a4b53978f1c54a6cf97e361"},"schema_version":"1.0","source":{"id":"2012.01073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.01073","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"2012.01073v1","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.01073","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"KN6PPMV3ZRSR","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"pith_short_16","alias_value":"KN6PPMV3ZRSR2N2W","created_at":"2026-07-05T02:42:45Z"},{"alias_kind":"pith_short_8","alias_value":"KN6PPMV3","created_at":"2026-07-05T02:42:45Z"}],"graph_snapshots":[{"event_id":"sha256:4aaf896f7986548c685dd360523e40df7b2d91dce8dd49f195ef9a16ad54dab3","target":"graph","created_at":"2026-07-05T02:42:45Z","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/2012.01073/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Following the path of minimalism in alternative theories of gravity, we construct the \"Minimal Theory of Bigravity\" (MTBG), a theory of two interacting spin-2 fields that propagates only four local degrees of freedom instead of the usual seven ones and that allows for the same homogeneous and isotropic cosmological solutions as in Hassan-Rosen bigravity (HRBG). Starting from a precursor theory that propagates six local degrees of freedom, we carefully choose additional constraints to eliminate two of them to construct the theory. Investigating the cosmology of MTBG, we find that it accommodate","authors_text":"Antonio De Felice, Fran\\c{c}ois Larrouturou, Michele Oliosi, Shinji Mukohyama","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-12-02T10:39:32Z","title":"Minimal Theory of Bigravity: construction and cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.01073","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":"sha256:360924a7d0ad437cdc45d4cd1f6e2dcfff0ab48409f18d892f8a50563f32968d","target":"record","created_at":"2026-07-05T02:42:45Z","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":"83d6ce376e8b98e4fbbdc86ac5d1a9a8da9c5fe13169bcebefe01c322533d3df","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-12-02T10:39:32Z","title_canon_sha256":"250f9315f178a46b7ade0f93ab070cf9f8d4c3998a4b53978f1c54a6cf97e361"},"schema_version":"1.0","source":{"id":"2012.01073","kind":"arxiv","version":1}},"canonical_sha256":"537cf7b2bbcc651d3756a3aa42f117fb708790e2443c5bd9b510d6cb45c768a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"537cf7b2bbcc651d3756a3aa42f117fb708790e2443c5bd9b510d6cb45c768a1","first_computed_at":"2026-07-05T02:42:45.564634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:42:45.564634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Qa3aC4atQRZF6IHIwTTsWusqrV9xOkan324BM1VTH6FwTBWETiPwFIvSJnryYxHS9MSIxO2PuA+fE9NH5FdCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:42:45.565179Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.01073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:360924a7d0ad437cdc45d4cd1f6e2dcfff0ab48409f18d892f8a50563f32968d","sha256:4aaf896f7986548c685dd360523e40df7b2d91dce8dd49f195ef9a16ad54dab3"],"state_sha256":"a25bb22191b61ae21505d16e091567618a012d31167bfaf1899d79cb407a8eff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uf0Asimf99lpIfuo+GY0x/E/lH7MrbdfkKLT4lwo/krKFxdgapyheuEGuU76Dmfpg5/rAWKLKHwrTi3jRrhyDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T07:40:07.997340Z","bundle_sha256":"c1da2181503f8695091e49692d0daf1b1b1bf4e5b24233328ba492e437791d02"}}