{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RFEMDMK4UMFQRWEIT6KSCLZ2CK","short_pith_number":"pith:RFEMDMK4","canonical_record":{"source":{"id":"1506.06217","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T09:30:47Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"26023e35777ea6ba3ef724ab174a2adf94a04e4c0e37f45971405832416fa02d","abstract_canon_sha256":"66e85b5d2cd1d0e5ee7d0537a0556947a21745fb37b1c29f2f68c6d7253579c0"},"schema_version":"1.0"},"canonical_sha256":"8948c1b15ca30b08d8889f95212f3a129f24e64d95d9530c5298d446f952cfdc","source":{"kind":"arxiv","id":"1506.06217","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06217","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06217v3","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06217","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"pith_short_12","alias_value":"RFEMDMK4UMFQ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RFEMDMK4UMFQRWEI","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RFEMDMK4","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RFEMDMK4UMFQRWEIT6KSCLZ2CK","target":"record","payload":{"canonical_record":{"source":{"id":"1506.06217","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T09:30:47Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"26023e35777ea6ba3ef724ab174a2adf94a04e4c0e37f45971405832416fa02d","abstract_canon_sha256":"66e85b5d2cd1d0e5ee7d0537a0556947a21745fb37b1c29f2f68c6d7253579c0"},"schema_version":"1.0"},"canonical_sha256":"8948c1b15ca30b08d8889f95212f3a129f24e64d95d9530c5298d446f952cfdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:10.166926Z","signature_b64":"70AKqdsej2AufW8WJ/jALMWYZ6r7a7loP0euiyBdNDM/Q0NFVQrHv52Q8jBJQKLULf5qKfP5Osh8SWBKT2naBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8948c1b15ca30b08d8889f95212f3a129f24e64d95d9530c5298d446f952cfdc","last_reissued_at":"2026-05-18T01:32:10.166270Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:10.166270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.06217","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"05Bg3oqoJ2Kp/AnkHZ4FmVXJl79pHgSTmJSPkCnLFi1YzJvh8YW3c5GG3tGxuxErmI9aJl8yrGJq7nm3Z18WAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:41:53.244280Z"},"content_sha256":"2469d2a28539b43a1e43694ba40b21e7c7ac970b722e760bb37f8c6c565cfd71","schema_version":"1.0","event_id":"sha256:2469d2a28539b43a1e43694ba40b21e7c7ac970b722e760bb37f8c6c565cfd71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RFEMDMK4UMFQRWEIT6KSCLZ2CK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dark energy and dimensional transmutation in $R^2$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Michele Maggiore","submitted_at":"2015-06-20T09:30:47Z","abstract_excerpt":"Recent work has shown that non-local modifications of gravity involving terms such as $m^2R\\Box^{-2}R$ (and no cosmological constant) provide a phenomenologically viable alternative to $\\Lambda$CDM. We first discuss the possibility that such non-local terms emerge in the far infrared from the running of a coupling constant associated to the $R^2$ term in higher-derivative gravity, which, depending on the UV completion of the theory, can be asymptotically free in the ultraviolet and strongly coupled in the infrared. In this scenario the mass scale $m$ of the non-local model emerges from dimensi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06217","kind":"arxiv","version":3},"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":"2026-05-18T01:32:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e6/cAzN11AXU/eLHSWq7bP+/iUqYRA/muI4OX0HNzVqQ3tEg6prMLCJqIxsrLWyYN1W5xjKQ9FDbFG8wuxuXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:41:53.245021Z"},"content_sha256":"0d61657cedea31409f013202735a6de44aa033409b5a05a9b475fcc2f1ae2603","schema_version":"1.0","event_id":"sha256:0d61657cedea31409f013202735a6de44aa033409b5a05a9b475fcc2f1ae2603"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RFEMDMK4UMFQRWEIT6KSCLZ2CK/bundle.json","state_url":"https://pith.science/pith/RFEMDMK4UMFQRWEIT6KSCLZ2CK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RFEMDMK4UMFQRWEIT6KSCLZ2CK/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":"2026-05-31T00:41:53Z","links":{"resolver":"https://pith.science/pith/RFEMDMK4UMFQRWEIT6KSCLZ2CK","bundle":"https://pith.science/pith/RFEMDMK4UMFQRWEIT6KSCLZ2CK/bundle.json","state":"https://pith.science/pith/RFEMDMK4UMFQRWEIT6KSCLZ2CK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RFEMDMK4UMFQRWEIT6KSCLZ2CK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RFEMDMK4UMFQRWEIT6KSCLZ2CK","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":"66e85b5d2cd1d0e5ee7d0537a0556947a21745fb37b1c29f2f68c6d7253579c0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T09:30:47Z","title_canon_sha256":"26023e35777ea6ba3ef724ab174a2adf94a04e4c0e37f45971405832416fa02d"},"schema_version":"1.0","source":{"id":"1506.06217","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06217","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06217v3","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06217","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"pith_short_12","alias_value":"RFEMDMK4UMFQ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RFEMDMK4UMFQRWEI","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RFEMDMK4","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:0d61657cedea31409f013202735a6de44aa033409b5a05a9b475fcc2f1ae2603","target":"graph","created_at":"2026-05-18T01:32:10Z","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":"Recent work has shown that non-local modifications of gravity involving terms such as $m^2R\\Box^{-2}R$ (and no cosmological constant) provide a phenomenologically viable alternative to $\\Lambda$CDM. We first discuss the possibility that such non-local terms emerge in the far infrared from the running of a coupling constant associated to the $R^2$ term in higher-derivative gravity, which, depending on the UV completion of the theory, can be asymptotically free in the ultraviolet and strongly coupled in the infrared. In this scenario the mass scale $m$ of the non-local model emerges from dimensi","authors_text":"Michele Maggiore","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T09:30:47Z","title":"Dark energy and dimensional transmutation in $R^2$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06217","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":"sha256:2469d2a28539b43a1e43694ba40b21e7c7ac970b722e760bb37f8c6c565cfd71","target":"record","created_at":"2026-05-18T01:32:10Z","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":"66e85b5d2cd1d0e5ee7d0537a0556947a21745fb37b1c29f2f68c6d7253579c0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T09:30:47Z","title_canon_sha256":"26023e35777ea6ba3ef724ab174a2adf94a04e4c0e37f45971405832416fa02d"},"schema_version":"1.0","source":{"id":"1506.06217","kind":"arxiv","version":3}},"canonical_sha256":"8948c1b15ca30b08d8889f95212f3a129f24e64d95d9530c5298d446f952cfdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8948c1b15ca30b08d8889f95212f3a129f24e64d95d9530c5298d446f952cfdc","first_computed_at":"2026-05-18T01:32:10.166270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:10.166270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"70AKqdsej2AufW8WJ/jALMWYZ6r7a7loP0euiyBdNDM/Q0NFVQrHv52Q8jBJQKLULf5qKfP5Osh8SWBKT2naBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:10.166926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06217","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2469d2a28539b43a1e43694ba40b21e7c7ac970b722e760bb37f8c6c565cfd71","sha256:0d61657cedea31409f013202735a6de44aa033409b5a05a9b475fcc2f1ae2603"],"state_sha256":"bd4feb12039747826432561bc654d40bbb55ddec0687c1c794cd9706284b20dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VNKpNhz9/ETl+cXXFbcr2RfD4PFipU7uh82np/m+DJy8qh9h1YIXJfAgD1tHyLuM2QIa8984KikjcGr0Z1/RCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:41:53.248848Z","bundle_sha256":"235d9679ba765621f9e02b0b71e119d1880b9f6ced759e715ce8d3bebcc3aa34"}}