{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:DZBF54D6G2VN4QQQ6XWEA4A7M4","short_pith_number":"pith:DZBF54D6","canonical_record":{"source":{"id":"0911.1907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-11-10T20:45:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"5e1aae82b2dfe7ff08467a20d5240103769aede94aa3ee16735e580dcb585481","abstract_canon_sha256":"9f8df179aeaba548d0815842438c79267949eab620d32a4ada5b45a7c21fb8e7"},"schema_version":"1.0"},"canonical_sha256":"1e425ef07e36aade4210f5ec40701f673d3dc713093023ae89a60337d57e2c30","source":{"kind":"arxiv","id":"0911.1907","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1907","created_at":"2026-05-18T04:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1907v2","created_at":"2026-05-18T04:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1907","created_at":"2026-05-18T04:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"DZBF54D6G2VN","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DZBF54D6G2VN4QQQ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DZBF54D6","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:DZBF54D6G2VN4QQQ6XWEA4A7M4","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-11-10T20:45:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"5e1aae82b2dfe7ff08467a20d5240103769aede94aa3ee16735e580dcb585481","abstract_canon_sha256":"9f8df179aeaba548d0815842438c79267949eab620d32a4ada5b45a7c21fb8e7"},"schema_version":"1.0"},"canonical_sha256":"1e425ef07e36aade4210f5ec40701f673d3dc713093023ae89a60337d57e2c30","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:57.017434Z","signature_b64":"Ek+UK0dKJvQlTdWBaoiJZ9ruaMWKk7a69oWU9YmLVp0auxFYa74xX6bcphY+wrlAhbxTz+7hXD7fZEN1mXggBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e425ef07e36aade4210f5ec40701f673d3dc713093023ae89a60337d57e2c30","last_reissued_at":"2026-05-18T04:23:57.017020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:57.017020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1907","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":"2026-05-18T04:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhVaGjueVDqonBG5zR8Mi4xA3UV2U60QP5xv8TRpw3nKQydrSgluJZUEIX6HH5b5MB/MfHHQdWtLd+EghXOVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:18:49.079552Z"},"content_sha256":"cacd9a25a4cd7e1c8316f3dee374b4628f03813e0380ccc7bf9b616d1f3f37b7","schema_version":"1.0","event_id":"sha256:cacd9a25a4cd7e1c8316f3dee374b4628f03813e0380ccc7bf9b616d1f3f37b7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:DZBF54D6G2VN4QQQ6XWEA4A7M4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-adiabatic primordial fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"J. Magueijo (imperial College), J. Noller","submitted_at":"2009-11-10T20:45:50Z","abstract_excerpt":"We consider general mixtures of isocurvature and adiabatic cosmological perturbations. With a minimal assumption set consisting of the linearized Einstein equations and a primordial perfect fluid we derive the second-order action and its curvature variables. We also allow for varying equation of state and speed of sound profiles. The derivation is therefore carried out at the same level of generality that has been achieved for adiabatic modes before. As a result we find a new conserved super-horizon quantity and relate it to the adiabatically conserved curvature perturbation. Finally we demons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1907","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":"2026-05-18T04:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+k/HuanQDr378SiHO5IlbnGiVjiTHyUE4EMggVtvUFDh/wgecFr2pMp9rztqTzDlmIfvBtF/Xhqfkj4lLyiCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:18:49.079898Z"},"content_sha256":"a466228879eeef2af1b451d5f97c2ca0dd3d8179b8b26940281c6a8c562bae5e","schema_version":"1.0","event_id":"sha256:a466228879eeef2af1b451d5f97c2ca0dd3d8179b8b26940281c6a8c562bae5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DZBF54D6G2VN4QQQ6XWEA4A7M4/bundle.json","state_url":"https://pith.science/pith/DZBF54D6G2VN4QQQ6XWEA4A7M4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DZBF54D6G2VN4QQQ6XWEA4A7M4/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":"2026-06-03T16:18:49Z","links":{"resolver":"https://pith.science/pith/DZBF54D6G2VN4QQQ6XWEA4A7M4","bundle":"https://pith.science/pith/DZBF54D6G2VN4QQQ6XWEA4A7M4/bundle.json","state":"https://pith.science/pith/DZBF54D6G2VN4QQQ6XWEA4A7M4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DZBF54D6G2VN4QQQ6XWEA4A7M4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DZBF54D6G2VN4QQQ6XWEA4A7M4","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":"9f8df179aeaba548d0815842438c79267949eab620d32a4ada5b45a7c21fb8e7","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-11-10T20:45:50Z","title_canon_sha256":"5e1aae82b2dfe7ff08467a20d5240103769aede94aa3ee16735e580dcb585481"},"schema_version":"1.0","source":{"id":"0911.1907","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1907","created_at":"2026-05-18T04:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1907v2","created_at":"2026-05-18T04:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1907","created_at":"2026-05-18T04:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"DZBF54D6G2VN","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DZBF54D6G2VN4QQQ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DZBF54D6","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:a466228879eeef2af1b451d5f97c2ca0dd3d8179b8b26940281c6a8c562bae5e","target":"graph","created_at":"2026-05-18T04:23:57Z","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 consider general mixtures of isocurvature and adiabatic cosmological perturbations. With a minimal assumption set consisting of the linearized Einstein equations and a primordial perfect fluid we derive the second-order action and its curvature variables. We also allow for varying equation of state and speed of sound profiles. The derivation is therefore carried out at the same level of generality that has been achieved for adiabatic modes before. As a result we find a new conserved super-horizon quantity and relate it to the adiabatically conserved curvature perturbation. Finally we demons","authors_text":"J. Magueijo (imperial College), J. Noller","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-11-10T20:45:50Z","title":"Non-adiabatic primordial fluctuations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1907","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:cacd9a25a4cd7e1c8316f3dee374b4628f03813e0380ccc7bf9b616d1f3f37b7","target":"record","created_at":"2026-05-18T04:23:57Z","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":"9f8df179aeaba548d0815842438c79267949eab620d32a4ada5b45a7c21fb8e7","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-11-10T20:45:50Z","title_canon_sha256":"5e1aae82b2dfe7ff08467a20d5240103769aede94aa3ee16735e580dcb585481"},"schema_version":"1.0","source":{"id":"0911.1907","kind":"arxiv","version":2}},"canonical_sha256":"1e425ef07e36aade4210f5ec40701f673d3dc713093023ae89a60337d57e2c30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e425ef07e36aade4210f5ec40701f673d3dc713093023ae89a60337d57e2c30","first_computed_at":"2026-05-18T04:23:57.017020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:57.017020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ek+UK0dKJvQlTdWBaoiJZ9ruaMWKk7a69oWU9YmLVp0auxFYa74xX6bcphY+wrlAhbxTz+7hXD7fZEN1mXggBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:57.017434Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1907","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cacd9a25a4cd7e1c8316f3dee374b4628f03813e0380ccc7bf9b616d1f3f37b7","sha256:a466228879eeef2af1b451d5f97c2ca0dd3d8179b8b26940281c6a8c562bae5e"],"state_sha256":"7900078884ba60b15d11293e42644f6c1f669c2e7a2f63389b89d19a9bb21b08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QdKjBgFhynaOFEn7k/Q008MnFolfCi+qQx03jbYI2e/VVNpSPYrWiQSqGoYX2GHYV7bMmkjn8bEYuAuDPMyNBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:18:49.081884Z","bundle_sha256":"2157503e6b37c98a32f137385f61438ee88cd82c547755e96875c1a7a9de5064"}}