{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LKVAP54KNP46XNYX7UODFGZU42","short_pith_number":"pith:LKVAP54K","canonical_record":{"source":{"id":"1302.4640","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-19T15:22:20Z","cross_cats_sorted":[],"title_canon_sha256":"aa8039ec7f0d45dd97a9d02a3bb2c6bfe11f0a4becbe2202abc06f1b11a32826","abstract_canon_sha256":"4b742f7d6bd91c0711701e7f49b509fec1c9121b7dfb9c84b4c419accaeddf68"},"schema_version":"1.0"},"canonical_sha256":"5aaa07f78a6bf9ebb717fd1c329b34e69ade883ccbfebf42ddc71eab191ecddd","source":{"kind":"arxiv","id":"1302.4640","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4640","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4640v1","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4640","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"pith_short_12","alias_value":"LKVAP54KNP46","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LKVAP54KNP46XNYX","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LKVAP54K","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LKVAP54KNP46XNYX7UODFGZU42","target":"record","payload":{"canonical_record":{"source":{"id":"1302.4640","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-19T15:22:20Z","cross_cats_sorted":[],"title_canon_sha256":"aa8039ec7f0d45dd97a9d02a3bb2c6bfe11f0a4becbe2202abc06f1b11a32826","abstract_canon_sha256":"4b742f7d6bd91c0711701e7f49b509fec1c9121b7dfb9c84b4c419accaeddf68"},"schema_version":"1.0"},"canonical_sha256":"5aaa07f78a6bf9ebb717fd1c329b34e69ade883ccbfebf42ddc71eab191ecddd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:12.578573Z","signature_b64":"aXrYk5+VWF9RB5IPRMEolEW5F9/ViDPcd1XPSIXaj5Jrbj8jYYaLS34TUT7TWj2UTeYnBQD4tIpIctL68ry5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5aaa07f78a6bf9ebb717fd1c329b34e69ade883ccbfebf42ddc71eab191ecddd","last_reissued_at":"2026-05-18T03:33:12.577830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:12.577830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.4640","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":"2026-05-18T03:33:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hRTXYuFN0qak5PqqDjlGt+1iAf90rZSIwTN7wXflwY0trYbG3uuQkZ17ZzIrZWXX8hLoRMEsk+C+mrWFOVSrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:17:24.229391Z"},"content_sha256":"9a5be590a55dd62c6df65073eed12f00d7c02faeaab23c21b59560208701f450","schema_version":"1.0","event_id":"sha256:9a5be590a55dd62c6df65073eed12f00d7c02faeaab23c21b59560208701f450"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LKVAP54KNP46XNYX7UODFGZU42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"TASI Lectures on Cosmological Perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Julien Lesgourgues","submitted_at":"2013-02-19T15:22:20Z","abstract_excerpt":"We present a self-contained summary of the theory of linear cosmological perturbations. We emphasize the effect of the six parameters of the minimal cosmological model, first, on the spectrum of Cosmic Microwave Background temperature anisotropies, and second, on the linear matter power spectrum. We briefly review at the end the possible impact of a few non-minimal dark matter and dark energy models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4640","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":"2026-05-18T03:33:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ymfEXpY3qNnFhaygZknTyqPVnEU1cs8x14MWsH9CYGhWHkEu1/wnrWF/fs9dqgO2P68I6Fn0v6ycLLFVfKNeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:17:24.229746Z"},"content_sha256":"338211181577b155e81b18d3b3ede4c2015a24cdd998887f0140135b08281ec9","schema_version":"1.0","event_id":"sha256:338211181577b155e81b18d3b3ede4c2015a24cdd998887f0140135b08281ec9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LKVAP54KNP46XNYX7UODFGZU42/bundle.json","state_url":"https://pith.science/pith/LKVAP54KNP46XNYX7UODFGZU42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LKVAP54KNP46XNYX7UODFGZU42/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":"2026-06-01T20:17:24Z","links":{"resolver":"https://pith.science/pith/LKVAP54KNP46XNYX7UODFGZU42","bundle":"https://pith.science/pith/LKVAP54KNP46XNYX7UODFGZU42/bundle.json","state":"https://pith.science/pith/LKVAP54KNP46XNYX7UODFGZU42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LKVAP54KNP46XNYX7UODFGZU42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LKVAP54KNP46XNYX7UODFGZU42","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":"4b742f7d6bd91c0711701e7f49b509fec1c9121b7dfb9c84b4c419accaeddf68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-19T15:22:20Z","title_canon_sha256":"aa8039ec7f0d45dd97a9d02a3bb2c6bfe11f0a4becbe2202abc06f1b11a32826"},"schema_version":"1.0","source":{"id":"1302.4640","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4640","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4640v1","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4640","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"pith_short_12","alias_value":"LKVAP54KNP46","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LKVAP54KNP46XNYX","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LKVAP54K","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:338211181577b155e81b18d3b3ede4c2015a24cdd998887f0140135b08281ec9","target":"graph","created_at":"2026-05-18T03:33:12Z","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 present a self-contained summary of the theory of linear cosmological perturbations. We emphasize the effect of the six parameters of the minimal cosmological model, first, on the spectrum of Cosmic Microwave Background temperature anisotropies, and second, on the linear matter power spectrum. We briefly review at the end the possible impact of a few non-minimal dark matter and dark energy models.","authors_text":"Julien Lesgourgues","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-19T15:22:20Z","title":"TASI Lectures on Cosmological Perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4640","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":"sha256:9a5be590a55dd62c6df65073eed12f00d7c02faeaab23c21b59560208701f450","target":"record","created_at":"2026-05-18T03:33:12Z","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":"4b742f7d6bd91c0711701e7f49b509fec1c9121b7dfb9c84b4c419accaeddf68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-19T15:22:20Z","title_canon_sha256":"aa8039ec7f0d45dd97a9d02a3bb2c6bfe11f0a4becbe2202abc06f1b11a32826"},"schema_version":"1.0","source":{"id":"1302.4640","kind":"arxiv","version":1}},"canonical_sha256":"5aaa07f78a6bf9ebb717fd1c329b34e69ade883ccbfebf42ddc71eab191ecddd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aaa07f78a6bf9ebb717fd1c329b34e69ade883ccbfebf42ddc71eab191ecddd","first_computed_at":"2026-05-18T03:33:12.577830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:12.577830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aXrYk5+VWF9RB5IPRMEolEW5F9/ViDPcd1XPSIXaj5Jrbj8jYYaLS34TUT7TWj2UTeYnBQD4tIpIctL68ry5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:12.578573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4640","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a5be590a55dd62c6df65073eed12f00d7c02faeaab23c21b59560208701f450","sha256:338211181577b155e81b18d3b3ede4c2015a24cdd998887f0140135b08281ec9"],"state_sha256":"761a716e70de450c0687746852a6dd3fdfeadfab306dd37da1b84979d56dac47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"edeTrOIOTDEeJoZf73tqOAa9dg8KV2uh1/e4C5wNQYNrIvECJvMKiOuCa+3oAh/Fld0hWSh/fkZm4FqQM9WLAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:17:24.231788Z","bundle_sha256":"c699f142222e0ffa20e2b02fcd880ceecce25d1893283f756b707da58103e7b7"}}