{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6527PNEXNQWMI5SGVSLTU4XIM5","short_pith_number":"pith:6527PNEX","canonical_record":{"source":{"id":"2311.03291","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-11-06T17:34:54Z","cross_cats_sorted":[],"title_canon_sha256":"8a55bbf745e35618e9993520a5e43977ec6ae94a3776aa43f4a270cab2e18f0e","abstract_canon_sha256":"1db010620f725f396937e226bb4b22edcc3763114ab0def833583f9a109f15e6"},"schema_version":"1.0"},"canonical_sha256":"f775f7b4976c2cc47646ac973a72e8676464d1cbc9b0f81c3c5cb6ea1bbaaace","source":{"kind":"arxiv","id":"2311.03291","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.03291","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"2311.03291v2","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.03291","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"6527PNEXNQWM","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"pith_short_16","alias_value":"6527PNEXNQWMI5SG","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"pith_short_8","alias_value":"6527PNEX","created_at":"2026-07-05T08:41:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6527PNEXNQWMI5SGVSLTU4XIM5","target":"record","payload":{"canonical_record":{"source":{"id":"2311.03291","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-11-06T17:34:54Z","cross_cats_sorted":[],"title_canon_sha256":"8a55bbf745e35618e9993520a5e43977ec6ae94a3776aa43f4a270cab2e18f0e","abstract_canon_sha256":"1db010620f725f396937e226bb4b22edcc3763114ab0def833583f9a109f15e6"},"schema_version":"1.0"},"canonical_sha256":"f775f7b4976c2cc47646ac973a72e8676464d1cbc9b0f81c3c5cb6ea1bbaaace","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:41:40.647393Z","signature_b64":"d1ATleqMjevN/0lRx86zOL51/bsupeo/a6/WU+v7Tx3OyFlkFBmzVAIu0IQ75NfyKqHleDX0ykutXyPwZNDGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f775f7b4976c2cc47646ac973a72e8676464d1cbc9b0f81c3c5cb6ea1bbaaace","last_reissued_at":"2026-07-05T08:41:40.646910Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:41:40.646910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.03291","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":"2026-07-05T08:41:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aS/H8Gqvqn1qTZbY/ef7y8eLSNYTEqwwykiJkRh4SUpXow5JqS4Gygeu9gxFmeSa+HqWyFG9RtBdnDAEIG4zCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:05:35.887824Z"},"content_sha256":"da2347ab515f2c59f175bcd8dc6ad6fa76e90d97e81676178d857a7e3c9fdc28","schema_version":"1.0","event_id":"sha256:da2347ab515f2c59f175bcd8dc6ad6fa76e90d97e81676178d857a7e3c9fdc28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6527PNEXNQWMI5SGVSLTU4XIM5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"DISCO-DJ I: a differentiable Einstein-Boltzmann solver for cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Florian List, Natalia Porqueres, Oliver Hahn","submitted_at":"2023-11-06T17:34:54Z","abstract_excerpt":"We present the Einstein-Boltzmann module of the DISCO-DJ (DIfferentiable Simulations for COsmology - Done with JAX) software package. This module implements a fully differentiable solver for the linearised cosmological Einstein-Boltzmann equations in the JAX framework, and allows computing Jacobian matrices of all solver output with respect to all input parameters using automatic differentiation. This implies that along with the solution for a given set of parameters, the tangent hyperplane in parameter space is known as well, which is a key ingredient for cosmological inference and forecastin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.03291","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/2311.03291/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":"2026-07-05T08:41:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WmqTdblf72uO+NcDddAzFaE2ShAQbqkjZPaCKUjy6h4K66UVmK/YLS8C/sielNLOdpB37lBvG49DVV62eLWNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:05:35.888614Z"},"content_sha256":"192e4257518f023de4a4b4c3bdee0a28784b766263e0c76cbb7b27f1d06dfa7d","schema_version":"1.0","event_id":"sha256:192e4257518f023de4a4b4c3bdee0a28784b766263e0c76cbb7b27f1d06dfa7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6527PNEXNQWMI5SGVSLTU4XIM5/bundle.json","state_url":"https://pith.science/pith/6527PNEXNQWMI5SGVSLTU4XIM5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6527PNEXNQWMI5SGVSLTU4XIM5/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":"2026-08-11T00:05:35Z","links":{"resolver":"https://pith.science/pith/6527PNEXNQWMI5SGVSLTU4XIM5","bundle":"https://pith.science/pith/6527PNEXNQWMI5SGVSLTU4XIM5/bundle.json","state":"https://pith.science/pith/6527PNEXNQWMI5SGVSLTU4XIM5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6527PNEXNQWMI5SGVSLTU4XIM5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6527PNEXNQWMI5SGVSLTU4XIM5","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":"1db010620f725f396937e226bb4b22edcc3763114ab0def833583f9a109f15e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-11-06T17:34:54Z","title_canon_sha256":"8a55bbf745e35618e9993520a5e43977ec6ae94a3776aa43f4a270cab2e18f0e"},"schema_version":"1.0","source":{"id":"2311.03291","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.03291","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"2311.03291v2","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.03291","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"6527PNEXNQWM","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"pith_short_16","alias_value":"6527PNEXNQWMI5SG","created_at":"2026-07-05T08:41:40Z"},{"alias_kind":"pith_short_8","alias_value":"6527PNEX","created_at":"2026-07-05T08:41:40Z"}],"graph_snapshots":[{"event_id":"sha256:192e4257518f023de4a4b4c3bdee0a28784b766263e0c76cbb7b27f1d06dfa7d","target":"graph","created_at":"2026-07-05T08:41:40Z","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/2311.03291/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the Einstein-Boltzmann module of the DISCO-DJ (DIfferentiable Simulations for COsmology - Done with JAX) software package. This module implements a fully differentiable solver for the linearised cosmological Einstein-Boltzmann equations in the JAX framework, and allows computing Jacobian matrices of all solver output with respect to all input parameters using automatic differentiation. This implies that along with the solution for a given set of parameters, the tangent hyperplane in parameter space is known as well, which is a key ingredient for cosmological inference and forecastin","authors_text":"Florian List, Natalia Porqueres, Oliver Hahn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-11-06T17:34:54Z","title":"DISCO-DJ I: a differentiable Einstein-Boltzmann solver for cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.03291","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:da2347ab515f2c59f175bcd8dc6ad6fa76e90d97e81676178d857a7e3c9fdc28","target":"record","created_at":"2026-07-05T08:41:40Z","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":"1db010620f725f396937e226bb4b22edcc3763114ab0def833583f9a109f15e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-11-06T17:34:54Z","title_canon_sha256":"8a55bbf745e35618e9993520a5e43977ec6ae94a3776aa43f4a270cab2e18f0e"},"schema_version":"1.0","source":{"id":"2311.03291","kind":"arxiv","version":2}},"canonical_sha256":"f775f7b4976c2cc47646ac973a72e8676464d1cbc9b0f81c3c5cb6ea1bbaaace","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f775f7b4976c2cc47646ac973a72e8676464d1cbc9b0f81c3c5cb6ea1bbaaace","first_computed_at":"2026-07-05T08:41:40.646910Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:41:40.646910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d1ATleqMjevN/0lRx86zOL51/bsupeo/a6/WU+v7Tx3OyFlkFBmzVAIu0IQ75NfyKqHleDX0ykutXyPwZNDGAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:41:40.647393Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.03291","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da2347ab515f2c59f175bcd8dc6ad6fa76e90d97e81676178d857a7e3c9fdc28","sha256:192e4257518f023de4a4b4c3bdee0a28784b766263e0c76cbb7b27f1d06dfa7d"],"state_sha256":"9c26e0b75421f46021c37e3bb0d23c4e40a91f23e9e56e0ae45fa4fbb3dd04a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J4eMhXmovBhEnQ3yEZshZaiIh2Bp0um4ZK0uaCGNj9YZmlGe8XBVQDffePxkDqxMARbQUwIxcUK4ngjXNFk4DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:05:35.895475Z","bundle_sha256":"a1aa6856dc12e47fe859ae867eb6d86d97011e4d54a6409daf5fdc0f44659393"}}