{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VLYQTVOTVFRRY3I4JPAHZQ36GP","short_pith_number":"pith:VLYQTVOT","canonical_record":{"source":{"id":"1810.02369","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-04T18:00:00Z","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph"],"title_canon_sha256":"a71519ff9044db93dccb67eb257831f7c96c2f6b925fcd8cd21f2f5a40bf7712","abstract_canon_sha256":"2176129b1cddfa179b8cb8fee6d38c51349fc36b4a334aa571721f34f2f9c89f"},"schema_version":"1.0"},"canonical_sha256":"aaf109d5d3a9631c6d1c4bc07cc37e33cc4057a5df487b230655098bef947491","source":{"kind":"arxiv","id":"1810.02369","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02369","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02369v2","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02369","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"pith_short_12","alias_value":"VLYQTVOTVFRR","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VLYQTVOTVFRRY3I4","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VLYQTVOT","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VLYQTVOTVFRRY3I4JPAHZQ36GP","target":"record","payload":{"canonical_record":{"source":{"id":"1810.02369","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-04T18:00:00Z","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph"],"title_canon_sha256":"a71519ff9044db93dccb67eb257831f7c96c2f6b925fcd8cd21f2f5a40bf7712","abstract_canon_sha256":"2176129b1cddfa179b8cb8fee6d38c51349fc36b4a334aa571721f34f2f9c89f"},"schema_version":"1.0"},"canonical_sha256":"aaf109d5d3a9631c6d1c4bc07cc37e33cc4057a5df487b230655098bef947491","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:52.465088Z","signature_b64":"OtpSF3ZNsnFs2r9QLUjFeKpevkKfnUnxxKFiEuYxAa/0MfDiaeYeUyD5+tZeXKKzMnysl3pttLKln5U9Eu1MBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aaf109d5d3a9631c6d1c4bc07cc37e33cc4057a5df487b230655098bef947491","last_reissued_at":"2026-05-17T23:49:52.464389Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:52.464389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.02369","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":"2026-05-17T23:49:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fLPIta1Am9lzvP0RDD2BnKMlUAu5CM0160EN016GueuYtdLTq94a8+/BOZEGyiLF09HC4TzwiU1zNkByORABBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T00:44:15.932147Z"},"content_sha256":"123b8681afd204686280769722829ba77c01b728b290a9a180d4af519182e297","schema_version":"1.0","event_id":"sha256:123b8681afd204686280769722829ba77c01b728b290a9a180d4af519182e297"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VLYQTVOTVFRRY3I4JPAHZQ36GP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pulsar-timing arrays, astrometry, and gravitational waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","gr-qc","hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Kimberly K. Boddy, Liang Dai, Marc Kamionkowski, Wenzer Qin","submitted_at":"2018-10-04T18:00:00Z","abstract_excerpt":"We discuss the theory of pulsar-timing and astrometry probes of a stochastic gravitational-wave background with a recently developed \"total-angular-momentum\" (TAM) formalism for cosmological perturbations. We review the formalism, emphasizing in particular the features relevant for this work and describe the observables we consider (i.e. the pulsar redshift and stellar angular displacement). Using the TAM approach, we calculate the angular power spectra for the observables and from them derive angular auto- and cross-correlation functions. We provide the full set of power spectra and correlati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02369","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":"2026-05-17T23:49:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/W7BNd1O5Oft2Y7lj2RCOQT0LlOpGyTg87vMpYTMKCcp1FB7b8sin0Z/zmqkJVlC/vR57u50a/HwPy+AITJTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T00:44:15.932779Z"},"content_sha256":"5f8da0745a7f5d58a54814742bf95696cadbbc5d6d92982111495e5df27500e3","schema_version":"1.0","event_id":"sha256:5f8da0745a7f5d58a54814742bf95696cadbbc5d6d92982111495e5df27500e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLYQTVOTVFRRY3I4JPAHZQ36GP/bundle.json","state_url":"https://pith.science/pith/VLYQTVOTVFRRY3I4JPAHZQ36GP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLYQTVOTVFRRY3I4JPAHZQ36GP/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":"2026-05-25T00:44:15Z","links":{"resolver":"https://pith.science/pith/VLYQTVOTVFRRY3I4JPAHZQ36GP","bundle":"https://pith.science/pith/VLYQTVOTVFRRY3I4JPAHZQ36GP/bundle.json","state":"https://pith.science/pith/VLYQTVOTVFRRY3I4JPAHZQ36GP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLYQTVOTVFRRY3I4JPAHZQ36GP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VLYQTVOTVFRRY3I4JPAHZQ36GP","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":"2176129b1cddfa179b8cb8fee6d38c51349fc36b4a334aa571721f34f2f9c89f","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-04T18:00:00Z","title_canon_sha256":"a71519ff9044db93dccb67eb257831f7c96c2f6b925fcd8cd21f2f5a40bf7712"},"schema_version":"1.0","source":{"id":"1810.02369","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02369","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02369v2","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02369","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"pith_short_12","alias_value":"VLYQTVOTVFRR","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VLYQTVOTVFRRY3I4","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VLYQTVOT","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:5f8da0745a7f5d58a54814742bf95696cadbbc5d6d92982111495e5df27500e3","target":"graph","created_at":"2026-05-17T23:49:52Z","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 discuss the theory of pulsar-timing and astrometry probes of a stochastic gravitational-wave background with a recently developed \"total-angular-momentum\" (TAM) formalism for cosmological perturbations. We review the formalism, emphasizing in particular the features relevant for this work and describe the observables we consider (i.e. the pulsar redshift and stellar angular displacement). Using the TAM approach, we calculate the angular power spectra for the observables and from them derive angular auto- and cross-correlation functions. We provide the full set of power spectra and correlati","authors_text":"Kimberly K. Boddy, Liang Dai, Marc Kamionkowski, Wenzer Qin","cross_cats":["astro-ph.GA","gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-04T18:00:00Z","title":"Pulsar-timing arrays, astrometry, and gravitational waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02369","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":"sha256:123b8681afd204686280769722829ba77c01b728b290a9a180d4af519182e297","target":"record","created_at":"2026-05-17T23:49:52Z","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":"2176129b1cddfa179b8cb8fee6d38c51349fc36b4a334aa571721f34f2f9c89f","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-04T18:00:00Z","title_canon_sha256":"a71519ff9044db93dccb67eb257831f7c96c2f6b925fcd8cd21f2f5a40bf7712"},"schema_version":"1.0","source":{"id":"1810.02369","kind":"arxiv","version":2}},"canonical_sha256":"aaf109d5d3a9631c6d1c4bc07cc37e33cc4057a5df487b230655098bef947491","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aaf109d5d3a9631c6d1c4bc07cc37e33cc4057a5df487b230655098bef947491","first_computed_at":"2026-05-17T23:49:52.464389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:52.464389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OtpSF3ZNsnFs2r9QLUjFeKpevkKfnUnxxKFiEuYxAa/0MfDiaeYeUyD5+tZeXKKzMnysl3pttLKln5U9Eu1MBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:52.465088Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02369","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:123b8681afd204686280769722829ba77c01b728b290a9a180d4af519182e297","sha256:5f8da0745a7f5d58a54814742bf95696cadbbc5d6d92982111495e5df27500e3"],"state_sha256":"4e9716a58b09fefb3e61807c7a5b0d4f9d735a6bc246faabf0ff7dfa20884f2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kZTTyrYikumQ5K8Y7101qKxan6yYimatqwgS3etp3KBkiK/Xb7Ej8I1wSLNffoSJoRQI+BWcND0PHJMlD8VjBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T00:44:15.936724Z","bundle_sha256":"730bbd0e2da9897b937c16fe2f92ff6cb2bcf7e1f601d23bb056f70d03c0e288"}}