{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LVXUZJ5VGLFLDFY6KJYJBRWZUG","short_pith_number":"pith:LVXUZJ5V","canonical_record":{"source":{"id":"1112.1089","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T21:07:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e32a12fcb571a3bbdd39c2bfa235fc5ad200c80610e2cb05cefa39f53cd08bd0","abstract_canon_sha256":"9bce6bf9492fd8c4b3b145929eb37175d193530a516ff10d721ce7473298cfb9"},"schema_version":"1.0"},"canonical_sha256":"5d6f4ca7b532cab1971e527090c6d9a19c22426033b4545ac91d6df048f75cdb","source":{"kind":"arxiv","id":"1112.1089","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1089","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1089v2","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1089","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"LVXUZJ5VGLFL","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LVXUZJ5VGLFLDFY6","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LVXUZJ5V","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LVXUZJ5VGLFLDFY6KJYJBRWZUG","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1089","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T21:07:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e32a12fcb571a3bbdd39c2bfa235fc5ad200c80610e2cb05cefa39f53cd08bd0","abstract_canon_sha256":"9bce6bf9492fd8c4b3b145929eb37175d193530a516ff10d721ce7473298cfb9"},"schema_version":"1.0"},"canonical_sha256":"5d6f4ca7b532cab1971e527090c6d9a19c22426033b4545ac91d6df048f75cdb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:06.737898Z","signature_b64":"2rg8+2cGs5sO/DzisObJs6lTmuagfM3CSgMRJLVZnUWGRpNDqE75Kl/UkiK2TmsmOf8DARadO2GILHN4IWZfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d6f4ca7b532cab1971e527090c6d9a19c22426033b4545ac91d6df048f75cdb","last_reissued_at":"2026-05-18T03:15:06.736858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:06.736858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1089","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":"2026-05-18T03:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FiKxciM1gS9ZVJ86wg312g8LEZUKcqUe6B7hQx0K8tc0+kx4by0JcNrj2fr8fQUxBCWM85XE6Ty+J6Ivyk9uAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:57:55.220899Z"},"content_sha256":"43841dad291c77214c44b3c6f6bf7f0db508e9e95b0e2e2ffc682467ce02f8a3","schema_version":"1.0","event_id":"sha256:43841dad291c77214c44b3c6f6bf7f0db508e9e95b0e2e2ffc682467ce02f8a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LVXUZJ5VGLFLDFY6KJYJBRWZUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degravitation Features in the Cascading Gravity Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Masato Minamitsuji, Parvin Moyassari","submitted_at":"2011-12-05T21:07:14Z","abstract_excerpt":"We obtain the effective gravitational equations on the codimension-2 and codimension-1 branes in the cascading gravity model. We then apply our formulation to the cosmological case and obtain the effective Friedmann equations on the codimension-2 brane, which are generically given in terms of integro-differential equations. Adopting an approximation for which the thickness of the codimension-2 brane is much smaller than the Hubble horizon, we study the Minkowski and de Sitter codimension-2 brane solutions. Studying the cosmological solutions shows that the cascading model exhibits the features"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1089","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":"2026-05-18T03:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGj2kBVoktPdzci0ywJ680gohAO0g4vKV54TZoV2G5uRxB3+fH8dOZJQoVka8HA6U79oV3l27if966SG61C0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:57:55.221412Z"},"content_sha256":"c4608c6cb69471ddc7edf76c6759f436f95f76b1e73c0291669acef0f61bea27","schema_version":"1.0","event_id":"sha256:c4608c6cb69471ddc7edf76c6759f436f95f76b1e73c0291669acef0f61bea27"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LVXUZJ5VGLFLDFY6KJYJBRWZUG/bundle.json","state_url":"https://pith.science/pith/LVXUZJ5VGLFLDFY6KJYJBRWZUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LVXUZJ5VGLFLDFY6KJYJBRWZUG/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":"2026-05-28T20:57:55Z","links":{"resolver":"https://pith.science/pith/LVXUZJ5VGLFLDFY6KJYJBRWZUG","bundle":"https://pith.science/pith/LVXUZJ5VGLFLDFY6KJYJBRWZUG/bundle.json","state":"https://pith.science/pith/LVXUZJ5VGLFLDFY6KJYJBRWZUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LVXUZJ5VGLFLDFY6KJYJBRWZUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LVXUZJ5VGLFLDFY6KJYJBRWZUG","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":"9bce6bf9492fd8c4b3b145929eb37175d193530a516ff10d721ce7473298cfb9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T21:07:14Z","title_canon_sha256":"e32a12fcb571a3bbdd39c2bfa235fc5ad200c80610e2cb05cefa39f53cd08bd0"},"schema_version":"1.0","source":{"id":"1112.1089","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1089","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1089v2","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1089","created_at":"2026-05-18T03:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"LVXUZJ5VGLFL","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LVXUZJ5VGLFLDFY6","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LVXUZJ5V","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:c4608c6cb69471ddc7edf76c6759f436f95f76b1e73c0291669acef0f61bea27","target":"graph","created_at":"2026-05-18T03:15:06Z","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 obtain the effective gravitational equations on the codimension-2 and codimension-1 branes in the cascading gravity model. We then apply our formulation to the cosmological case and obtain the effective Friedmann equations on the codimension-2 brane, which are generically given in terms of integro-differential equations. Adopting an approximation for which the thickness of the codimension-2 brane is much smaller than the Hubble horizon, we study the Minkowski and de Sitter codimension-2 brane solutions. Studying the cosmological solutions shows that the cascading model exhibits the features","authors_text":"Masato Minamitsuji, Parvin Moyassari","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T21:07:14Z","title":"Degravitation Features in the Cascading Gravity Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1089","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":"sha256:43841dad291c77214c44b3c6f6bf7f0db508e9e95b0e2e2ffc682467ce02f8a3","target":"record","created_at":"2026-05-18T03:15:06Z","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":"9bce6bf9492fd8c4b3b145929eb37175d193530a516ff10d721ce7473298cfb9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T21:07:14Z","title_canon_sha256":"e32a12fcb571a3bbdd39c2bfa235fc5ad200c80610e2cb05cefa39f53cd08bd0"},"schema_version":"1.0","source":{"id":"1112.1089","kind":"arxiv","version":2}},"canonical_sha256":"5d6f4ca7b532cab1971e527090c6d9a19c22426033b4545ac91d6df048f75cdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d6f4ca7b532cab1971e527090c6d9a19c22426033b4545ac91d6df048f75cdb","first_computed_at":"2026-05-18T03:15:06.736858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:06.736858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2rg8+2cGs5sO/DzisObJs6lTmuagfM3CSgMRJLVZnUWGRpNDqE75Kl/UkiK2TmsmOf8DARadO2GILHN4IWZfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:06.737898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1089","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43841dad291c77214c44b3c6f6bf7f0db508e9e95b0e2e2ffc682467ce02f8a3","sha256:c4608c6cb69471ddc7edf76c6759f436f95f76b1e73c0291669acef0f61bea27"],"state_sha256":"5a016537fca356d17e32a8b305678f3cbd1aa712f33a0690faa1e91e4430932a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s8ZjbjuJhcuvL733aJlwY2pg+XzOBJZilgdhfHqUU0VOS5LD/d5lLJzJLNMgy3g5nBg9tW0L7SbeJ1fyHVrXCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:57:55.224738Z","bundle_sha256":"464da2d55c1ef5021c2eb6d81ccec6bef2e1f4fc51782d7344d2c6096b1e5773"}}