{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:GHKVQXVQYWKOGWL32RUZUSTUGQ","short_pith_number":"pith:GHKVQXVQ","canonical_record":{"source":{"id":"0906.4545","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-24T19:57:18Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"c5c44b198eae606ddd22b74e644ae5e5f09dc82c43e7adbdae3cb67cd380bceb","abstract_canon_sha256":"386bb7d74f29d9944efebfbbce279d0b21dfc7254709486fc8a2e336c3be37ba"},"schema_version":"1.0"},"canonical_sha256":"31d5585eb0c594e3597bd4699a4a74343aa49dfa40b147e39e2088c0051f72c1","source":{"kind":"arxiv","id":"0906.4545","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4545","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4545v2","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4545","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"pith_short_12","alias_value":"GHKVQXVQYWKO","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"pith_short_16","alias_value":"GHKVQXVQYWKOGWL3","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"pith_short_8","alias_value":"GHKVQXVQ","created_at":"2026-07-04T16:51:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:GHKVQXVQYWKOGWL32RUZUSTUGQ","target":"record","payload":{"canonical_record":{"source":{"id":"0906.4545","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-24T19:57:18Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"c5c44b198eae606ddd22b74e644ae5e5f09dc82c43e7adbdae3cb67cd380bceb","abstract_canon_sha256":"386bb7d74f29d9944efebfbbce279d0b21dfc7254709486fc8a2e336c3be37ba"},"schema_version":"1.0"},"canonical_sha256":"31d5585eb0c594e3597bd4699a4a74343aa49dfa40b147e39e2088c0051f72c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:51:16.106411Z","signature_b64":"2meUxy1+2MjOCle1V7mIv1UjowsNmR0GypaQ9PDjnksCOV060xaTcVEHWwZyjj8wecL+HJvKxAD8BGv5imp4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31d5585eb0c594e3597bd4699a4a74343aa49dfa40b147e39e2088c0051f72c1","last_reissued_at":"2026-07-04T16:51:16.106005Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:51:16.106005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.4545","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":"2026-07-04T16:51:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jx0ukz+4TNVCOhTPj+Ibts/DVPoVYybc46zD0WVYp8Af0UGtKLxrL2IPKPigCB/8Oo/H2SSW90XZQiOKMptqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:07:20.571826Z"},"content_sha256":"25c24b43ff148e3830a499d184c257832a2b52a5c7484bb885433b2f98b6098a","schema_version":"1.0","event_id":"sha256:25c24b43ff148e3830a499d184c257832a2b52a5c7484bb885433b2f98b6098a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:GHKVQXVQYWKOGWL32RUZUSTUGQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Roman Scoccimarro","submitted_at":"2009-06-24T19:57:18Z","abstract_excerpt":"We study the growth of subhorizon perturbations in brane-induced gravity using perturbation theory. We solve for the linear evolution of perturbations taking advantage of the symmetry under gauge transformations along the extra-dimension to decouple the bulk equations in the quasistatic approximation, which we argue may be a better approximation at large scales than thought before. We then study the nonlinearities in the bulk and brane equations, concentrating on the workings of the Vainshtein mechanism by which the theory becomes general relativity (GR) at small scales. We show that at the le"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4545","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/0906.4545/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":"2026-07-04T16:51:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMIzAFbhmiFFXagEA0+Zm2dDV0Ka5Tot/eijA5kZiulj45524f4oK0ZcNj8G54Dr2NkfPiPvoh4OBJY5PF79Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:07:20.572736Z"},"content_sha256":"09a108efebd1d17e26c3b9d7be074a90d72a4b44bfd3d9eace82ff3f78defa41","schema_version":"1.0","event_id":"sha256:09a108efebd1d17e26c3b9d7be074a90d72a4b44bfd3d9eace82ff3f78defa41"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHKVQXVQYWKOGWL32RUZUSTUGQ/bundle.json","state_url":"https://pith.science/pith/GHKVQXVQYWKOGWL32RUZUSTUGQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHKVQXVQYWKOGWL32RUZUSTUGQ/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":"2026-08-16T15:07:20Z","links":{"resolver":"https://pith.science/pith/GHKVQXVQYWKOGWL32RUZUSTUGQ","bundle":"https://pith.science/pith/GHKVQXVQYWKOGWL32RUZUSTUGQ/bundle.json","state":"https://pith.science/pith/GHKVQXVQYWKOGWL32RUZUSTUGQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHKVQXVQYWKOGWL32RUZUSTUGQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GHKVQXVQYWKOGWL32RUZUSTUGQ","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":"386bb7d74f29d9944efebfbbce279d0b21dfc7254709486fc8a2e336c3be37ba","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-24T19:57:18Z","title_canon_sha256":"c5c44b198eae606ddd22b74e644ae5e5f09dc82c43e7adbdae3cb67cd380bceb"},"schema_version":"1.0","source":{"id":"0906.4545","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4545","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4545v2","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4545","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"pith_short_12","alias_value":"GHKVQXVQYWKO","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"pith_short_16","alias_value":"GHKVQXVQYWKOGWL3","created_at":"2026-07-04T16:51:16Z"},{"alias_kind":"pith_short_8","alias_value":"GHKVQXVQ","created_at":"2026-07-04T16:51:16Z"}],"graph_snapshots":[{"event_id":"sha256:09a108efebd1d17e26c3b9d7be074a90d72a4b44bfd3d9eace82ff3f78defa41","target":"graph","created_at":"2026-07-04T16:51:16Z","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/0906.4545/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the growth of subhorizon perturbations in brane-induced gravity using perturbation theory. We solve for the linear evolution of perturbations taking advantage of the symmetry under gauge transformations along the extra-dimension to decouple the bulk equations in the quasistatic approximation, which we argue may be a better approximation at large scales than thought before. We then study the nonlinearities in the bulk and brane equations, concentrating on the workings of the Vainshtein mechanism by which the theory becomes general relativity (GR) at small scales. We show that at the le","authors_text":"Roman Scoccimarro","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-24T19:57:18Z","title":"Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4545","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":"sha256:25c24b43ff148e3830a499d184c257832a2b52a5c7484bb885433b2f98b6098a","target":"record","created_at":"2026-07-04T16:51:16Z","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":"386bb7d74f29d9944efebfbbce279d0b21dfc7254709486fc8a2e336c3be37ba","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-24T19:57:18Z","title_canon_sha256":"c5c44b198eae606ddd22b74e644ae5e5f09dc82c43e7adbdae3cb67cd380bceb"},"schema_version":"1.0","source":{"id":"0906.4545","kind":"arxiv","version":2}},"canonical_sha256":"31d5585eb0c594e3597bd4699a4a74343aa49dfa40b147e39e2088c0051f72c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31d5585eb0c594e3597bd4699a4a74343aa49dfa40b147e39e2088c0051f72c1","first_computed_at":"2026-07-04T16:51:16.106005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:51:16.106005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2meUxy1+2MjOCle1V7mIv1UjowsNmR0GypaQ9PDjnksCOV060xaTcVEHWwZyjj8wecL+HJvKxAD8BGv5imp4Cg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:51:16.106411Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.4545","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25c24b43ff148e3830a499d184c257832a2b52a5c7484bb885433b2f98b6098a","sha256:09a108efebd1d17e26c3b9d7be074a90d72a4b44bfd3d9eace82ff3f78defa41"],"state_sha256":"b7003420f1592a06b851dd18e8be1ecc612d69e489f1a2870214055d939a4ee7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"244CjT62rrIZVSSjDm4kZ1n897C+ZNaEy3shqHS5wAWH4kX7PXPDMA06tJa6oaUcz1KE3LodVW363rHOtLOWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T15:07:20.591956Z","bundle_sha256":"8c073168e34114baecaa22541d7cce0ddab084449c420e27d0509d3c60849ea4"}}