{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GBKE6BTPWCXX6MK7EQXM6IQLWL","short_pith_number":"pith:GBKE6BTP","canonical_record":{"source":{"id":"1901.03267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-10T16:54:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"27432a6c924ee0d847d73dd1b7a6ef99d07affb49f2db3fb35f8419695440d7c","abstract_canon_sha256":"5608753d11cf2349e791514665d95d067cbe46ba1e4c31a697f24e4899d2aecc"},"schema_version":"1.0"},"canonical_sha256":"30544f066fb0af7f315f242ecf220bb2fa9f20a8feab46c82eed262cf53786b6","source":{"kind":"arxiv","id":"1901.03267","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03267","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03267v2","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03267","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"GBKE6BTPWCXX","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GBKE6BTPWCXX6MK7","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GBKE6BTP","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GBKE6BTPWCXX6MK7EQXM6IQLWL","target":"record","payload":{"canonical_record":{"source":{"id":"1901.03267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-10T16:54:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"27432a6c924ee0d847d73dd1b7a6ef99d07affb49f2db3fb35f8419695440d7c","abstract_canon_sha256":"5608753d11cf2349e791514665d95d067cbe46ba1e4c31a697f24e4899d2aecc"},"schema_version":"1.0"},"canonical_sha256":"30544f066fb0af7f315f242ecf220bb2fa9f20a8feab46c82eed262cf53786b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:26.638858Z","signature_b64":"sZgs/XLc60NWiooO138jQGACval58RPlCeRZZORDdZAyGLq5VmC26WEVvAkpyMK4yY7JEz5GWa2qZZLSU8FJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30544f066fb0af7f315f242ecf220bb2fa9f20a8feab46c82eed262cf53786b6","last_reissued_at":"2026-05-17T23:47:26.638228Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:26.638228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.03267","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":"2026-05-17T23:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WvYG9+2WnIYtOGTkryerw+beIjN2/udCT07nimSQ4emOZeWR7f8YyFbNWiBVcggjIPyN4I5ZA87cMdU13UwAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:44:57.995925Z"},"content_sha256":"6de7cabaff52d59855aa456b358d7491fe8fbf53edcbfde821b75a9a3310bb13","schema_version":"1.0","event_id":"sha256:6de7cabaff52d59855aa456b358d7491fe8fbf53edcbfde821b75a9a3310bb13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GBKE6BTPWCXX6MK7EQXM6IQLWL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear stability in nonlocal gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Fabio Briscese, Gianluca Calcagni, Leonardo Modesto","submitted_at":"2019-01-10T16:54:43Z","abstract_excerpt":"We address the stability issue of Ricci-flat and maximally symmetric spacetimes in nonlocal gravity to all perturbative orders in the gravitational perturbation. Assuming a potential at least cubic in curvature tensors but quadratic in the Ricci tensor, our proof consists on a mapping of the stability analysis in nonlocal gravity to the same problem in Einstein-Hilbert theory. One of the consequences is that only the graviton field can propagate and the theory is ghost-free at all perturbative orders. All the results known in Einstein gravity in vacuum with or without a cosmological constant c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03267","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":""},"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":"2026-05-17T23:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I39PgrpTx3SbKU+rJ+lMLYikg0MO8EAmAnola9gw17wQQdW1caXUlWjUCh+cOA0VNMhg3wC3vj4q97wwEcvwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:44:57.996610Z"},"content_sha256":"6d6981d2c612bc15d78c00fff4c1ee26a6cdc0f23367d6d2b8ad9a9774c95234","schema_version":"1.0","event_id":"sha256:6d6981d2c612bc15d78c00fff4c1ee26a6cdc0f23367d6d2b8ad9a9774c95234"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GBKE6BTPWCXX6MK7EQXM6IQLWL/bundle.json","state_url":"https://pith.science/pith/GBKE6BTPWCXX6MK7EQXM6IQLWL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GBKE6BTPWCXX6MK7EQXM6IQLWL/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":"2026-05-29T17:44:57Z","links":{"resolver":"https://pith.science/pith/GBKE6BTPWCXX6MK7EQXM6IQLWL","bundle":"https://pith.science/pith/GBKE6BTPWCXX6MK7EQXM6IQLWL/bundle.json","state":"https://pith.science/pith/GBKE6BTPWCXX6MK7EQXM6IQLWL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GBKE6BTPWCXX6MK7EQXM6IQLWL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GBKE6BTPWCXX6MK7EQXM6IQLWL","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":"5608753d11cf2349e791514665d95d067cbe46ba1e4c31a697f24e4899d2aecc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-10T16:54:43Z","title_canon_sha256":"27432a6c924ee0d847d73dd1b7a6ef99d07affb49f2db3fb35f8419695440d7c"},"schema_version":"1.0","source":{"id":"1901.03267","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03267","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03267v2","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03267","created_at":"2026-05-17T23:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"GBKE6BTPWCXX","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GBKE6BTPWCXX6MK7","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GBKE6BTP","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:6d6981d2c612bc15d78c00fff4c1ee26a6cdc0f23367d6d2b8ad9a9774c95234","target":"graph","created_at":"2026-05-17T23:47:26Z","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 address the stability issue of Ricci-flat and maximally symmetric spacetimes in nonlocal gravity to all perturbative orders in the gravitational perturbation. Assuming a potential at least cubic in curvature tensors but quadratic in the Ricci tensor, our proof consists on a mapping of the stability analysis in nonlocal gravity to the same problem in Einstein-Hilbert theory. One of the consequences is that only the graviton field can propagate and the theory is ghost-free at all perturbative orders. All the results known in Einstein gravity in vacuum with or without a cosmological constant c","authors_text":"Fabio Briscese, Gianluca Calcagni, Leonardo Modesto","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-10T16:54:43Z","title":"Nonlinear stability in nonlocal gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03267","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":"sha256:6de7cabaff52d59855aa456b358d7491fe8fbf53edcbfde821b75a9a3310bb13","target":"record","created_at":"2026-05-17T23:47:26Z","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":"5608753d11cf2349e791514665d95d067cbe46ba1e4c31a697f24e4899d2aecc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-10T16:54:43Z","title_canon_sha256":"27432a6c924ee0d847d73dd1b7a6ef99d07affb49f2db3fb35f8419695440d7c"},"schema_version":"1.0","source":{"id":"1901.03267","kind":"arxiv","version":2}},"canonical_sha256":"30544f066fb0af7f315f242ecf220bb2fa9f20a8feab46c82eed262cf53786b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30544f066fb0af7f315f242ecf220bb2fa9f20a8feab46c82eed262cf53786b6","first_computed_at":"2026-05-17T23:47:26.638228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:26.638228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sZgs/XLc60NWiooO138jQGACval58RPlCeRZZORDdZAyGLq5VmC26WEVvAkpyMK4yY7JEz5GWa2qZZLSU8FJCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:26.638858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.03267","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6de7cabaff52d59855aa456b358d7491fe8fbf53edcbfde821b75a9a3310bb13","sha256:6d6981d2c612bc15d78c00fff4c1ee26a6cdc0f23367d6d2b8ad9a9774c95234"],"state_sha256":"cd141c3ab2d5d5fe2c29a209c8a3e8118a12adc81fd0a6d306feeae7e2ab29aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"prJqGwRXqGvntgWd+ubwoqYWYmNOMVKattuG2veQkHjvDbJqPFRgmFlRp7gQHEoEhtHimM8EpGpFiezYt3VmAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:44:57.999766Z","bundle_sha256":"9999e5f953f6ac9e7412cc5366551b652000a4d0bba3f757f7a274ac03cd3999"}}