{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4XPYTBWSTGHY7YLU3NV7CUJV4P","short_pith_number":"pith:4XPYTBWS","canonical_record":{"source":{"id":"1209.5159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-24T06:31:04Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"499233b15e80b9f019194db0e18114fc091645a406afee816ba8d8dc42a69d67","abstract_canon_sha256":"9cd5bfa0d6c8d95aba27737fbaeb4e33d7f0ac472ab30410ee42cb549337aef1"},"schema_version":"1.0"},"canonical_sha256":"e5df8986d2998f8fe174db6bf15135e3fdd2a735ef7154c2b1d4168750331990","source":{"kind":"arxiv","id":"1209.5159","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5159","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5159v1","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5159","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"4XPYTBWSTGHY","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4XPYTBWSTGHY7YLU","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4XPYTBWS","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4XPYTBWSTGHY7YLU3NV7CUJV4P","target":"record","payload":{"canonical_record":{"source":{"id":"1209.5159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-24T06:31:04Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"499233b15e80b9f019194db0e18114fc091645a406afee816ba8d8dc42a69d67","abstract_canon_sha256":"9cd5bfa0d6c8d95aba27737fbaeb4e33d7f0ac472ab30410ee42cb549337aef1"},"schema_version":"1.0"},"canonical_sha256":"e5df8986d2998f8fe174db6bf15135e3fdd2a735ef7154c2b1d4168750331990","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:19.137901Z","signature_b64":"DkbWqGMqFRDqEeB7yYAOLY96eUF7MPxu1buA4/D/1BsgKah/xTTvdDwBSQ3laNx3CfQG1JjjnZ63Yaq3knrBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5df8986d2998f8fe174db6bf15135e3fdd2a735ef7154c2b1d4168750331990","last_reissued_at":"2026-05-18T01:12:19.137575Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:19.137575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.5159","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":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UlBGPeIY7uSO1DmXa01NfNQn3oInAf4p8CMQttRvxDZtXrweP317hQJiyi8/QtyCdn+fvNmJqybgWIk378V3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:29:10.743829Z"},"content_sha256":"f378a4a95e7f46799ce0fccc03b65a6212c12becca3833030e900f45cad17656","schema_version":"1.0","event_id":"sha256:f378a4a95e7f46799ce0fccc03b65a6212c12becca3833030e900f45cad17656"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4XPYTBWSTGHY7YLU3NV7CUJV4P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High frequency limit for gravitational perturbations of cosmological models in modified gravity theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Akihiro Ishibashi, Keiki Saito","submitted_at":"2012-09-24T06:31:04Z","abstract_excerpt":"In general relativity, it has been shown that the effective gravitational stress-energy tensor for short-wavelength metric perturbations acts just like that for a radiation fluid, and thus, in particular, cannot provide any effects that mimic dark energy. However, it is far from obvious if this property of the effective gravitational stress-energy tensor is a specific nature held only in the Einstein gravity, or holds also in other theories of gravity. In particular, when considering modified gravity theories that involve higher order derivative terms, one may expect to have some non-negligibl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5159","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":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FNbidKBctCWxxk9nP6dOjJgXzpR0n4og8EtKuqZaSL3hF02K5hIT+yaEMBQ6KUf4K1AJJ8lUHeDIdld0uAhVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:29:10.744293Z"},"content_sha256":"8a1f1b46cc955b11550dbfcd61ddcd5a818877b2306061dda6ce1e91f6ad76f9","schema_version":"1.0","event_id":"sha256:8a1f1b46cc955b11550dbfcd61ddcd5a818877b2306061dda6ce1e91f6ad76f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4XPYTBWSTGHY7YLU3NV7CUJV4P/bundle.json","state_url":"https://pith.science/pith/4XPYTBWSTGHY7YLU3NV7CUJV4P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4XPYTBWSTGHY7YLU3NV7CUJV4P/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":"2026-05-25T22:29:10Z","links":{"resolver":"https://pith.science/pith/4XPYTBWSTGHY7YLU3NV7CUJV4P","bundle":"https://pith.science/pith/4XPYTBWSTGHY7YLU3NV7CUJV4P/bundle.json","state":"https://pith.science/pith/4XPYTBWSTGHY7YLU3NV7CUJV4P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4XPYTBWSTGHY7YLU3NV7CUJV4P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4XPYTBWSTGHY7YLU3NV7CUJV4P","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":"9cd5bfa0d6c8d95aba27737fbaeb4e33d7f0ac472ab30410ee42cb549337aef1","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-24T06:31:04Z","title_canon_sha256":"499233b15e80b9f019194db0e18114fc091645a406afee816ba8d8dc42a69d67"},"schema_version":"1.0","source":{"id":"1209.5159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5159","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5159v1","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5159","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"4XPYTBWSTGHY","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4XPYTBWSTGHY7YLU","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4XPYTBWS","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:8a1f1b46cc955b11550dbfcd61ddcd5a818877b2306061dda6ce1e91f6ad76f9","target":"graph","created_at":"2026-05-18T01:12:19Z","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":"In general relativity, it has been shown that the effective gravitational stress-energy tensor for short-wavelength metric perturbations acts just like that for a radiation fluid, and thus, in particular, cannot provide any effects that mimic dark energy. However, it is far from obvious if this property of the effective gravitational stress-energy tensor is a specific nature held only in the Einstein gravity, or holds also in other theories of gravity. In particular, when considering modified gravity theories that involve higher order derivative terms, one may expect to have some non-negligibl","authors_text":"Akihiro Ishibashi, Keiki Saito","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-24T06:31:04Z","title":"High frequency limit for gravitational perturbations of cosmological models in modified gravity theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5159","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:f378a4a95e7f46799ce0fccc03b65a6212c12becca3833030e900f45cad17656","target":"record","created_at":"2026-05-18T01:12:19Z","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":"9cd5bfa0d6c8d95aba27737fbaeb4e33d7f0ac472ab30410ee42cb549337aef1","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-24T06:31:04Z","title_canon_sha256":"499233b15e80b9f019194db0e18114fc091645a406afee816ba8d8dc42a69d67"},"schema_version":"1.0","source":{"id":"1209.5159","kind":"arxiv","version":1}},"canonical_sha256":"e5df8986d2998f8fe174db6bf15135e3fdd2a735ef7154c2b1d4168750331990","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5df8986d2998f8fe174db6bf15135e3fdd2a735ef7154c2b1d4168750331990","first_computed_at":"2026-05-18T01:12:19.137575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:19.137575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DkbWqGMqFRDqEeB7yYAOLY96eUF7MPxu1buA4/D/1BsgKah/xTTvdDwBSQ3laNx3CfQG1JjjnZ63Yaq3knrBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:19.137901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f378a4a95e7f46799ce0fccc03b65a6212c12becca3833030e900f45cad17656","sha256:8a1f1b46cc955b11550dbfcd61ddcd5a818877b2306061dda6ce1e91f6ad76f9"],"state_sha256":"d19ddf365d41c0e71351605106c3401771def981577a450c55bd40d07bd7589e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/+Gli9jhmyrX9PfDF+8qRjh+xbR2ycrpAKpcZMLvAHOdvh3l1mJuXKWePgRG9S3yeR/91yRwffsUnrZEDyTyCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:29:10.747122Z","bundle_sha256":"018cb8ef2036ff139e5ee493aabd74495f624909f6e65b8112baa701914674ee"}}