{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:VXJXM55UAA72GRCHRRE7WTLWQB","short_pith_number":"pith:VXJXM55U","canonical_record":{"source":{"id":"0712.3028","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-12-18T19:30:58Z","cross_cats_sorted":[],"title_canon_sha256":"ced15d33726b1be9c119ed1a5f2b0da28b77b7fb36ce1e2c32605241bd9b5fa8","abstract_canon_sha256":"8beab38f669479af482c1cab9a9eb6ff191dd0ed615e1cffd88f05933491c9a3"},"schema_version":"1.0"},"canonical_sha256":"add37677b4003fa344478c49fb4d7680418b5e84c0a4fd7fb973fc40ece71b37","source":{"kind":"arxiv","id":"0712.3028","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.3028","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"arxiv_version","alias_value":"0712.3028v2","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.3028","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"pith_short_12","alias_value":"VXJXM55UAA72","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"pith_short_16","alias_value":"VXJXM55UAA72GRCH","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"pith_short_8","alias_value":"VXJXM55U","created_at":"2026-07-04T15:06:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:VXJXM55UAA72GRCHRRE7WTLWQB","target":"record","payload":{"canonical_record":{"source":{"id":"0712.3028","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-12-18T19:30:58Z","cross_cats_sorted":[],"title_canon_sha256":"ced15d33726b1be9c119ed1a5f2b0da28b77b7fb36ce1e2c32605241bd9b5fa8","abstract_canon_sha256":"8beab38f669479af482c1cab9a9eb6ff191dd0ed615e1cffd88f05933491c9a3"},"schema_version":"1.0"},"canonical_sha256":"add37677b4003fa344478c49fb4d7680418b5e84c0a4fd7fb973fc40ece71b37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:06:37.609251Z","signature_b64":"m2c+djIlGYjnQPGULtmF7P6KLElsH0IKCFZ+bcb5it75UCygzqiZz1Sm4YqQbtaSbU0oqNvI+Q0lnQVernrQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"add37677b4003fa344478c49fb4d7680418b5e84c0a4fd7fb973fc40ece71b37","last_reissued_at":"2026-07-04T15:06:37.608855Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:06:37.608855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.3028","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":"2026-07-04T15:06:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1TE+PfrvmOqFo+yYHGupVlN5GN/XkdOWP9eLC7AS8x53VBnr4LvFzBj+2nnvo7YO0UCWj6GfGD+fkhNFfLuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:40:25.622529Z"},"content_sha256":"039a2b02bcaffc60868dbf20e3d16338cb0c88b34136f4cd16862f7df780a146","schema_version":"1.0","event_id":"sha256:039a2b02bcaffc60868dbf20e3d16338cb0c88b34136f4cd16862f7df780a146"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:VXJXM55UAA72GRCHRRE7WTLWQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A practical guide to Basic Statistical Techniques for Data Analysis in Cosmology","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"IEEC-CSIC), Institute of Space Sciences, Licia Verde (ICREA","submitted_at":"2007-12-18T19:30:58Z","abstract_excerpt":"This is the summary of 4 Lectures given at the XIX Canary islands winter school of Astrophysics ''The Cosmic Microwave Background, from Quantum Fluctuations to the present Universe''. Lectures were intended for master/beginning PhD students in cosmology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3028","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/0712.3028/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":"2026-07-04T15:06:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"re/Vz1hvKZF4Y6ZTFeGZezhsOAGCXrEgATpN+VVz6VHIMVYFNiWUZkFyvNmnYh24sXxbwuYDKK1l1yEsUST+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:40:25.622893Z"},"content_sha256":"66fc53a15791431d9a6492e491bd4388e81918981489656537f2fdb4d4680ad6","schema_version":"1.0","event_id":"sha256:66fc53a15791431d9a6492e491bd4388e81918981489656537f2fdb4d4680ad6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXJXM55UAA72GRCHRRE7WTLWQB/bundle.json","state_url":"https://pith.science/pith/VXJXM55UAA72GRCHRRE7WTLWQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXJXM55UAA72GRCHRRE7WTLWQB/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":"2026-07-04T21:40:25Z","links":{"resolver":"https://pith.science/pith/VXJXM55UAA72GRCHRRE7WTLWQB","bundle":"https://pith.science/pith/VXJXM55UAA72GRCHRRE7WTLWQB/bundle.json","state":"https://pith.science/pith/VXJXM55UAA72GRCHRRE7WTLWQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXJXM55UAA72GRCHRRE7WTLWQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:VXJXM55UAA72GRCHRRE7WTLWQB","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":"8beab38f669479af482c1cab9a9eb6ff191dd0ed615e1cffd88f05933491c9a3","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-12-18T19:30:58Z","title_canon_sha256":"ced15d33726b1be9c119ed1a5f2b0da28b77b7fb36ce1e2c32605241bd9b5fa8"},"schema_version":"1.0","source":{"id":"0712.3028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.3028","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"arxiv_version","alias_value":"0712.3028v2","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.3028","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"pith_short_12","alias_value":"VXJXM55UAA72","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"pith_short_16","alias_value":"VXJXM55UAA72GRCH","created_at":"2026-07-04T15:06:37Z"},{"alias_kind":"pith_short_8","alias_value":"VXJXM55U","created_at":"2026-07-04T15:06:37Z"}],"graph_snapshots":[{"event_id":"sha256:66fc53a15791431d9a6492e491bd4388e81918981489656537f2fdb4d4680ad6","target":"graph","created_at":"2026-07-04T15:06:37Z","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/0712.3028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is the summary of 4 Lectures given at the XIX Canary islands winter school of Astrophysics ''The Cosmic Microwave Background, from Quantum Fluctuations to the present Universe''. Lectures were intended for master/beginning PhD students in cosmology.","authors_text":"IEEC-CSIC), Institute of Space Sciences, Licia Verde (ICREA","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2007-12-18T19:30:58Z","title":"A practical guide to Basic Statistical Techniques for Data Analysis in Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3028","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":"sha256:039a2b02bcaffc60868dbf20e3d16338cb0c88b34136f4cd16862f7df780a146","target":"record","created_at":"2026-07-04T15:06:37Z","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":"8beab38f669479af482c1cab9a9eb6ff191dd0ed615e1cffd88f05933491c9a3","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-12-18T19:30:58Z","title_canon_sha256":"ced15d33726b1be9c119ed1a5f2b0da28b77b7fb36ce1e2c32605241bd9b5fa8"},"schema_version":"1.0","source":{"id":"0712.3028","kind":"arxiv","version":2}},"canonical_sha256":"add37677b4003fa344478c49fb4d7680418b5e84c0a4fd7fb973fc40ece71b37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"add37677b4003fa344478c49fb4d7680418b5e84c0a4fd7fb973fc40ece71b37","first_computed_at":"2026-07-04T15:06:37.608855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:06:37.608855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m2c+djIlGYjnQPGULtmF7P6KLElsH0IKCFZ+bcb5it75UCygzqiZz1Sm4YqQbtaSbU0oqNvI+Q0lnQVernrQDA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:06:37.609251Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.3028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:039a2b02bcaffc60868dbf20e3d16338cb0c88b34136f4cd16862f7df780a146","sha256:66fc53a15791431d9a6492e491bd4388e81918981489656537f2fdb4d4680ad6"],"state_sha256":"5d2f28a0d18f080d2cf77e0679086578324d02a98afd127a12c95bdbff2ff168"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RZWG4ENXkipy1ItVaVQYszsHrHuiUKzqgoDQvYGmAHQG4I8awX0RqPnSTQEoUPKqtqgsg2sD1G6+WDg9L37vBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T21:40:25.625081Z","bundle_sha256":"3fe14edc917155ccb12fc0be5666dd42f4b026e66403db13b0a43e94f9f769d7"}}