{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RXZRVBDAERYTUUHL5M65CNR44F","short_pith_number":"pith:RXZRVBDA","canonical_record":{"source":{"id":"1602.01078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-02T20:47:44Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"09ddbbdbe6e76a47fdb4a50c330f8538b6cc143cef1e18fe12a33d50de54d644","abstract_canon_sha256":"d3ce650b82107e138398d5b2be7cf86285378c549f3926781d076501395c5c91"},"schema_version":"1.0"},"canonical_sha256":"8df31a846024713a50ebeb3dd1363ce17e9521bfe4b68b4251e99683c8749377","source":{"kind":"arxiv","id":"1602.01078","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01078","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01078v1","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01078","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"RXZRVBDAERYT","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RXZRVBDAERYTUUHL","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RXZRVBDA","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RXZRVBDAERYTUUHL5M65CNR44F","target":"record","payload":{"canonical_record":{"source":{"id":"1602.01078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-02T20:47:44Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"09ddbbdbe6e76a47fdb4a50c330f8538b6cc143cef1e18fe12a33d50de54d644","abstract_canon_sha256":"d3ce650b82107e138398d5b2be7cf86285378c549f3926781d076501395c5c91"},"schema_version":"1.0"},"canonical_sha256":"8df31a846024713a50ebeb3dd1363ce17e9521bfe4b68b4251e99683c8749377","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:14.379060Z","signature_b64":"8OkYarzhYR47XV10gzUMJpHgEZ4t7jTo+EW+rf1yubO96HmF+yavOlOlZIk6An/8P6/6z4m3fO8r/fZxsB3eAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8df31a846024713a50ebeb3dd1363ce17e9521bfe4b68b4251e99683c8749377","last_reissued_at":"2026-05-18T01:16:14.378349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:14.378349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.01078","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":"2026-05-18T01:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LT1wk8MjOZZRKUX8AvJELYjdN6g7T8TBo7dy86brNmfi0+mea9jihSlBPzBeLN4lTJfUwwu5XUOMeCzVQBAkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:45:52.074629Z"},"content_sha256":"2687d154695f7c096cf66d7106d6d40081eda39e19a4fba22a21f37bebb4361c","schema_version":"1.0","event_id":"sha256:2687d154695f7c096cf66d7106d6d40081eda39e19a4fba22a21f37bebb4361c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RXZRVBDAERYTUUHL5M65CNR44F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal symmetry and nonlinear extensions of nonlocal gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Giulia Cusin, Michele Maggiore, Michele Mancarella, Stefano Foffa","submitted_at":"2016-02-02T20:47:44Z","abstract_excerpt":"We study two nonlinear extensions of the nonlocal $R\\,\\Box^{-2}R$ gravity theory. We extend this theory in two different ways suggested by conformal symmetry, either replacing $\\Box^{-2}$ with $(-\\Box + R/6)^{-2}$, which is the operator that enters the action for a conformally-coupled scalar field, or replacing $\\Box^{-2}$ with the inverse of the Paneitz operator, which is a four-derivative operator that enters in the effective action induced by the conformal anomaly. We show that the former modification gives an interesting and viable cosmological model, with a dark energy equation of state t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01078","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":""},"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":"2026-05-18T01:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SgjxIc3EWRQxSrka4pqXas7R2/TP1CaTCbyAVvAdzasAZ6T7iRKIz9UxW6yC0sPURvy4Pim5TfLSkoSmhYtYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:45:52.074980Z"},"content_sha256":"e36470c8cec76ff4f8667c49b9bd79490b9f054bb733d664ff2b52c362e86f50","schema_version":"1.0","event_id":"sha256:e36470c8cec76ff4f8667c49b9bd79490b9f054bb733d664ff2b52c362e86f50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RXZRVBDAERYTUUHL5M65CNR44F/bundle.json","state_url":"https://pith.science/pith/RXZRVBDAERYTUUHL5M65CNR44F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RXZRVBDAERYTUUHL5M65CNR44F/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":"2026-06-01T13:45:52Z","links":{"resolver":"https://pith.science/pith/RXZRVBDAERYTUUHL5M65CNR44F","bundle":"https://pith.science/pith/RXZRVBDAERYTUUHL5M65CNR44F/bundle.json","state":"https://pith.science/pith/RXZRVBDAERYTUUHL5M65CNR44F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RXZRVBDAERYTUUHL5M65CNR44F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RXZRVBDAERYTUUHL5M65CNR44F","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":"d3ce650b82107e138398d5b2be7cf86285378c549f3926781d076501395c5c91","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-02T20:47:44Z","title_canon_sha256":"09ddbbdbe6e76a47fdb4a50c330f8538b6cc143cef1e18fe12a33d50de54d644"},"schema_version":"1.0","source":{"id":"1602.01078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01078","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01078v1","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01078","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"RXZRVBDAERYT","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RXZRVBDAERYTUUHL","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RXZRVBDA","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:e36470c8cec76ff4f8667c49b9bd79490b9f054bb733d664ff2b52c362e86f50","target":"graph","created_at":"2026-05-18T01:16:14Z","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"},"paper":{"abstract_excerpt":"We study two nonlinear extensions of the nonlocal $R\\,\\Box^{-2}R$ gravity theory. We extend this theory in two different ways suggested by conformal symmetry, either replacing $\\Box^{-2}$ with $(-\\Box + R/6)^{-2}$, which is the operator that enters the action for a conformally-coupled scalar field, or replacing $\\Box^{-2}$ with the inverse of the Paneitz operator, which is a four-derivative operator that enters in the effective action induced by the conformal anomaly. We show that the former modification gives an interesting and viable cosmological model, with a dark energy equation of state t","authors_text":"Giulia Cusin, Michele Maggiore, Michele Mancarella, Stefano Foffa","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-02T20:47:44Z","title":"Conformal symmetry and nonlinear extensions of nonlocal gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01078","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":"sha256:2687d154695f7c096cf66d7106d6d40081eda39e19a4fba22a21f37bebb4361c","target":"record","created_at":"2026-05-18T01:16:14Z","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":"d3ce650b82107e138398d5b2be7cf86285378c549f3926781d076501395c5c91","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-02T20:47:44Z","title_canon_sha256":"09ddbbdbe6e76a47fdb4a50c330f8538b6cc143cef1e18fe12a33d50de54d644"},"schema_version":"1.0","source":{"id":"1602.01078","kind":"arxiv","version":1}},"canonical_sha256":"8df31a846024713a50ebeb3dd1363ce17e9521bfe4b68b4251e99683c8749377","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8df31a846024713a50ebeb3dd1363ce17e9521bfe4b68b4251e99683c8749377","first_computed_at":"2026-05-18T01:16:14.378349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:14.378349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8OkYarzhYR47XV10gzUMJpHgEZ4t7jTo+EW+rf1yubO96HmF+yavOlOlZIk6An/8P6/6z4m3fO8r/fZxsB3eAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:14.379060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2687d154695f7c096cf66d7106d6d40081eda39e19a4fba22a21f37bebb4361c","sha256:e36470c8cec76ff4f8667c49b9bd79490b9f054bb733d664ff2b52c362e86f50"],"state_sha256":"20cee14c618788d237187b0dea63c5c50ce1318f04dd77635c699432c7df40b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jGwzBfBhg334Lmj8/okA52gRaMtOapAOL2AVWLqQn0nRyQVBl43M3hlWmoky9JrzAyRmHWtHlRAPillq6nlODA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:45:52.076971Z","bundle_sha256":"65d674bad3a72ad32b6672f8e1f5c838d78e303ea0456d70148d1e0bc6d1af57"}}