{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NNW24BDMVLFUSCSI6F45O6VSY3","short_pith_number":"pith:NNW24BDM","canonical_record":{"source":{"id":"1704.06184","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-04-20T15:26:13Z","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-th"],"title_canon_sha256":"b6103778fad1811d318d7e6b3b5d0628e91881039d700cd50ced692bd51f2c6b","abstract_canon_sha256":"f05bc6b5e3e28e88f800b2099cf07018fcadfc30d1d92904d299393c1d0c30f8"},"schema_version":"1.0"},"canonical_sha256":"6b6dae046caacb490a48f179d77ab2c6f07cc1e073405a8c5f479bfe4d2a00e4","source":{"kind":"arxiv","id":"1704.06184","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06184","created_at":"2026-05-18T00:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06184v3","created_at":"2026-05-18T00:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06184","created_at":"2026-05-18T00:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"NNW24BDMVLFU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NNW24BDMVLFUSCSI","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NNW24BDM","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NNW24BDMVLFUSCSI6F45O6VSY3","target":"record","payload":{"canonical_record":{"source":{"id":"1704.06184","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-04-20T15:26:13Z","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-th"],"title_canon_sha256":"b6103778fad1811d318d7e6b3b5d0628e91881039d700cd50ced692bd51f2c6b","abstract_canon_sha256":"f05bc6b5e3e28e88f800b2099cf07018fcadfc30d1d92904d299393c1d0c30f8"},"schema_version":"1.0"},"canonical_sha256":"6b6dae046caacb490a48f179d77ab2c6f07cc1e073405a8c5f479bfe4d2a00e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:28.658693Z","signature_b64":"MFPKz+8qJf+qSp8LKO1XJ+kjdVbcKKVyX0O3PCuyVed2J8/K5a7VfwGhQwSfaInV06lRzH/Tt0SF3sp0gDV3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b6dae046caacb490a48f179d77ab2c6f07cc1e073405a8c5f479bfe4d2a00e4","last_reissued_at":"2026-05-18T00:10:28.657960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:28.657960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.06184","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PH8XFWKfEQ1OhTfRiS8me42OYArDphJUK60y9G+66Zkc9QY8CijO1j887vslmafd9qCY92Sd9W3Ttxnd6txBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T19:25:14.385475Z"},"content_sha256":"a729fef9d258df7c0b28d0eace1d3e2a3ed970ea4546d418511b2ec72a17a831","schema_version":"1.0","event_id":"sha256:a729fef9d258df7c0b28d0eace1d3e2a3ed970ea4546d418511b2ec72a17a831"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NNW24BDMVLFUSCSI6F45O6VSY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anisotropy of the astrophysical gravitational wave background: analytic expression of the angular power spectrum and correlation with cosmological observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Cyril Pitrou, Giulia Cusin, Jean-Philippe Uzan","submitted_at":"2017-04-20T15:26:13Z","abstract_excerpt":"Unresolved and resolved sources of gravitational waves are at the origin of a stochastic gravitational wave background. While the computation of its mean density as a function of frequency in a homogeneous and isotropic universe is standard lore, the computation of its anisotropies requires to understand the coarse graining from local systems, to galactic scales and then to cosmology. An expression of the gravitational wave energy density valid in any general spacetime is derived. It is then specialized to a perturbed Friedmann-Lema\\^itre spacetime in order to determine the angular power spect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06184","kind":"arxiv","version":3},"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":"2026-05-18T00:10:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bDdxDBMdVTVWDgKfOTx3NqgRVgsOw66ej2Sk9tMYDk3suGv6WHjWGnRPMlPlfyiOnA7VAcgS119w5Y30waxfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T19:25:14.386047Z"},"content_sha256":"41fa547a1b45b9b9da69b972c34acdf889cdc5e11edc5c5486bd7eabe80a42bc","schema_version":"1.0","event_id":"sha256:41fa547a1b45b9b9da69b972c34acdf889cdc5e11edc5c5486bd7eabe80a42bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NNW24BDMVLFUSCSI6F45O6VSY3/bundle.json","state_url":"https://pith.science/pith/NNW24BDMVLFUSCSI6F45O6VSY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NNW24BDMVLFUSCSI6F45O6VSY3/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":"2026-05-18T19:25:14Z","links":{"resolver":"https://pith.science/pith/NNW24BDMVLFUSCSI6F45O6VSY3","bundle":"https://pith.science/pith/NNW24BDMVLFUSCSI6F45O6VSY3/bundle.json","state":"https://pith.science/pith/NNW24BDMVLFUSCSI6F45O6VSY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NNW24BDMVLFUSCSI6F45O6VSY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NNW24BDMVLFUSCSI6F45O6VSY3","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":"f05bc6b5e3e28e88f800b2099cf07018fcadfc30d1d92904d299393c1d0c30f8","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-04-20T15:26:13Z","title_canon_sha256":"b6103778fad1811d318d7e6b3b5d0628e91881039d700cd50ced692bd51f2c6b"},"schema_version":"1.0","source":{"id":"1704.06184","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06184","created_at":"2026-05-18T00:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06184v3","created_at":"2026-05-18T00:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06184","created_at":"2026-05-18T00:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"NNW24BDMVLFU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NNW24BDMVLFUSCSI","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NNW24BDM","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:41fa547a1b45b9b9da69b972c34acdf889cdc5e11edc5c5486bd7eabe80a42bc","target":"graph","created_at":"2026-05-18T00:10:28Z","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":"Unresolved and resolved sources of gravitational waves are at the origin of a stochastic gravitational wave background. While the computation of its mean density as a function of frequency in a homogeneous and isotropic universe is standard lore, the computation of its anisotropies requires to understand the coarse graining from local systems, to galactic scales and then to cosmology. An expression of the gravitational wave energy density valid in any general spacetime is derived. It is then specialized to a perturbed Friedmann-Lema\\^itre spacetime in order to determine the angular power spect","authors_text":"Cyril Pitrou, Giulia Cusin, Jean-Philippe Uzan","cross_cats":["astro-ph.GA","gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-04-20T15:26:13Z","title":"Anisotropy of the astrophysical gravitational wave background: analytic expression of the angular power spectrum and correlation with cosmological observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06184","kind":"arxiv","version":3},"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:a729fef9d258df7c0b28d0eace1d3e2a3ed970ea4546d418511b2ec72a17a831","target":"record","created_at":"2026-05-18T00:10:28Z","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":"f05bc6b5e3e28e88f800b2099cf07018fcadfc30d1d92904d299393c1d0c30f8","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-04-20T15:26:13Z","title_canon_sha256":"b6103778fad1811d318d7e6b3b5d0628e91881039d700cd50ced692bd51f2c6b"},"schema_version":"1.0","source":{"id":"1704.06184","kind":"arxiv","version":3}},"canonical_sha256":"6b6dae046caacb490a48f179d77ab2c6f07cc1e073405a8c5f479bfe4d2a00e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b6dae046caacb490a48f179d77ab2c6f07cc1e073405a8c5f479bfe4d2a00e4","first_computed_at":"2026-05-18T00:10:28.657960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:28.657960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MFPKz+8qJf+qSp8LKO1XJ+kjdVbcKKVyX0O3PCuyVed2J8/K5a7VfwGhQwSfaInV06lRzH/Tt0SF3sp0gDV3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:28.658693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06184","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a729fef9d258df7c0b28d0eace1d3e2a3ed970ea4546d418511b2ec72a17a831","sha256:41fa547a1b45b9b9da69b972c34acdf889cdc5e11edc5c5486bd7eabe80a42bc"],"state_sha256":"110cd8ebcc27455e1bdb0d1b9f799aa4661169136d0ef2e18c2aa073b920e747"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JysVd1IPiSLYyhdOkHpaqwpbP33KnHsiMsfRiW+hws/hNiYDxPne4Vl5qOsGOYBK0x6Uw6bOGcfmSfLIUeHkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T19:25:14.387982Z","bundle_sha256":"66b78e1c647ff7f9440d050a7a37291c7abf650254c4065007554e9c49321469"}}