{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:YBF2NQWSWQVUVYEOHTS3E4Y4QG","short_pith_number":"pith:YBF2NQWS","canonical_record":{"source":{"id":"2105.03744","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-08T17:09:13Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e3d8fd5d844eaa33c48d3263797cbd1a20e7a1f1869ac2a969f8c2a665657673","abstract_canon_sha256":"50a96d0c4b8967f6fc1187993c8049f8ddf00b9a21f0ac9771f20f333266c931"},"schema_version":"1.0"},"canonical_sha256":"c04ba6c2d2b42b4ae08e3ce5b2731c81947f3320fd0f3b6c211370b6aa2b9464","source":{"kind":"arxiv","id":"2105.03744","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.03744","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"arxiv_version","alias_value":"2105.03744v2","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.03744","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"pith_short_12","alias_value":"YBF2NQWSWQVU","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"pith_short_16","alias_value":"YBF2NQWSWQVUVYEO","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"pith_short_8","alias_value":"YBF2NQWS","created_at":"2026-07-05T02:57:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:YBF2NQWSWQVUVYEOHTS3E4Y4QG","target":"record","payload":{"canonical_record":{"source":{"id":"2105.03744","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-08T17:09:13Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e3d8fd5d844eaa33c48d3263797cbd1a20e7a1f1869ac2a969f8c2a665657673","abstract_canon_sha256":"50a96d0c4b8967f6fc1187993c8049f8ddf00b9a21f0ac9771f20f333266c931"},"schema_version":"1.0"},"canonical_sha256":"c04ba6c2d2b42b4ae08e3ce5b2731c81947f3320fd0f3b6c211370b6aa2b9464","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:57:20.423413Z","signature_b64":"q1m2pYg6b8ZMLEe2AeH6d6iaSRNIrfewwx5FMrnBC/3g++vasRxNzC/QKnnyz81FB2Tol5n5shTrkmTwhgCAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c04ba6c2d2b42b4ae08e3ce5b2731c81947f3320fd0f3b6c211370b6aa2b9464","last_reissued_at":"2026-07-05T02:57:20.422960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:57:20.422960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.03744","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":"2026-07-05T02:57:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+C9jND4BZJksAym/nfw92jX8XsS70DO/3pNiVCYTKhvSZeapub7K30qmYCRTwr0hAJA2obY2kKO+2HbT2t+6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:20:47.342258Z"},"content_sha256":"4c202139023499e5e4797a13bdbc9994b77fdfb41003c1cceea7f866f7d3a3ef","schema_version":"1.0","event_id":"sha256:4c202139023499e5e4797a13bdbc9994b77fdfb41003c1cceea7f866f7d3a3ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:YBF2NQWSWQVUVYEOHTS3E4Y4QG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Amin Rezaei Akbarieh, Lijing Shao, Sobhan Kazempour","submitted_at":"2021-05-08T17:09:13Z","abstract_excerpt":"We present the cosmological analysis of the Gauss-Bonnet quasi-dilaton massive gravity theory. This offers a gravitational theory with a non-zero graviton mass. We calculate the complete set of background equations of motion. Also, we obtain the self-accelerating background solutions and we present the constraints on parameters to indicate the correct sign of parameters. In addition, we analyse tensor perturbations and calculate the mass of graviton and find the dispersion relation of gravitational waves for two cases. Finally, we investigate the propagation of gravitational perturbation in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.03744","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/2105.03744/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":"2026-07-05T02:57:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vGtE+oBiAhp8h9oTLSgKi39ENUC0JtV/Fug4bOHyYhXif8393uR19hWkjthRjkYwEEstCfbJE1dFG4vRHNxbBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:20:47.342781Z"},"content_sha256":"8b656afad8293b87528be9194e26e0ab477ea42c80af9d2629a4c605244355d6","schema_version":"1.0","event_id":"sha256:8b656afad8293b87528be9194e26e0ab477ea42c80af9d2629a4c605244355d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBF2NQWSWQVUVYEOHTS3E4Y4QG/bundle.json","state_url":"https://pith.science/pith/YBF2NQWSWQVUVYEOHTS3E4Y4QG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBF2NQWSWQVUVYEOHTS3E4Y4QG/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":"2026-08-03T14:20:47Z","links":{"resolver":"https://pith.science/pith/YBF2NQWSWQVUVYEOHTS3E4Y4QG","bundle":"https://pith.science/pith/YBF2NQWSWQVUVYEOHTS3E4Y4QG/bundle.json","state":"https://pith.science/pith/YBF2NQWSWQVUVYEOHTS3E4Y4QG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBF2NQWSWQVUVYEOHTS3E4Y4QG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YBF2NQWSWQVUVYEOHTS3E4Y4QG","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":"50a96d0c4b8967f6fc1187993c8049f8ddf00b9a21f0ac9771f20f333266c931","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-08T17:09:13Z","title_canon_sha256":"e3d8fd5d844eaa33c48d3263797cbd1a20e7a1f1869ac2a969f8c2a665657673"},"schema_version":"1.0","source":{"id":"2105.03744","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.03744","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"arxiv_version","alias_value":"2105.03744v2","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.03744","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"pith_short_12","alias_value":"YBF2NQWSWQVU","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"pith_short_16","alias_value":"YBF2NQWSWQVUVYEO","created_at":"2026-07-05T02:57:20Z"},{"alias_kind":"pith_short_8","alias_value":"YBF2NQWS","created_at":"2026-07-05T02:57:20Z"}],"graph_snapshots":[{"event_id":"sha256:8b656afad8293b87528be9194e26e0ab477ea42c80af9d2629a4c605244355d6","target":"graph","created_at":"2026-07-05T02:57:20Z","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/2105.03744/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the cosmological analysis of the Gauss-Bonnet quasi-dilaton massive gravity theory. This offers a gravitational theory with a non-zero graviton mass. We calculate the complete set of background equations of motion. Also, we obtain the self-accelerating background solutions and we present the constraints on parameters to indicate the correct sign of parameters. In addition, we analyse tensor perturbations and calculate the mass of graviton and find the dispersion relation of gravitational waves for two cases. Finally, we investigate the propagation of gravitational perturbation in th","authors_text":"Amin Rezaei Akbarieh, Lijing Shao, Sobhan Kazempour","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-08T17:09:13Z","title":"Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.03744","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":"sha256:4c202139023499e5e4797a13bdbc9994b77fdfb41003c1cceea7f866f7d3a3ef","target":"record","created_at":"2026-07-05T02:57:20Z","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":"50a96d0c4b8967f6fc1187993c8049f8ddf00b9a21f0ac9771f20f333266c931","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-08T17:09:13Z","title_canon_sha256":"e3d8fd5d844eaa33c48d3263797cbd1a20e7a1f1869ac2a969f8c2a665657673"},"schema_version":"1.0","source":{"id":"2105.03744","kind":"arxiv","version":2}},"canonical_sha256":"c04ba6c2d2b42b4ae08e3ce5b2731c81947f3320fd0f3b6c211370b6aa2b9464","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c04ba6c2d2b42b4ae08e3ce5b2731c81947f3320fd0f3b6c211370b6aa2b9464","first_computed_at":"2026-07-05T02:57:20.422960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:57:20.422960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q1m2pYg6b8ZMLEe2AeH6d6iaSRNIrfewwx5FMrnBC/3g++vasRxNzC/QKnnyz81FB2Tol5n5shTrkmTwhgCAAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:57:20.423413Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.03744","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c202139023499e5e4797a13bdbc9994b77fdfb41003c1cceea7f866f7d3a3ef","sha256:8b656afad8293b87528be9194e26e0ab477ea42c80af9d2629a4c605244355d6"],"state_sha256":"8447e79d71804841f9b6d91d8e7bafca464ab978155f4260c6e1fe1b24fad17f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CjP1aZ3puoQUZXX1b2FU2rlZFy/7ubWV4lSew3G77Ad2WQZ46C6edg8knbXbHGUFu1gsLeWwY89pHk+luid/AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T14:20:47.347983Z","bundle_sha256":"f3bf114886f8bedfb4a7a4c91a0c880887088acdd803b5d16592e849fe12cfce"}}