{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:R2YZUQTWN2ZHBHAOV5IIOOETOB","short_pith_number":"pith:R2YZUQTW","canonical_record":{"source":{"id":"1611.00018","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-31T20:05:53Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"91c63ddc29b2164ddcf400db563061f56a4ef281e0d210e2cf03e348c1fdb959","abstract_canon_sha256":"418302573657c9763595e8fff546b16130ac04646c66ebb560dd4e5fe78964eb"},"schema_version":"1.0"},"canonical_sha256":"8eb19a42766eb2709c0eaf508738937073c9437ef42ab46660444cd84077963c","source":{"kind":"arxiv","id":"1611.00018","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00018","created_at":"2026-05-18T00:34:20Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00018v4","created_at":"2026-05-18T00:34:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00018","created_at":"2026-05-18T00:34:20Z"},{"alias_kind":"pith_short_12","alias_value":"R2YZUQTWN2ZH","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"R2YZUQTWN2ZHBHAO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"R2YZUQTW","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:R2YZUQTWN2ZHBHAOV5IIOOETOB","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00018","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-31T20:05:53Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"91c63ddc29b2164ddcf400db563061f56a4ef281e0d210e2cf03e348c1fdb959","abstract_canon_sha256":"418302573657c9763595e8fff546b16130ac04646c66ebb560dd4e5fe78964eb"},"schema_version":"1.0"},"canonical_sha256":"8eb19a42766eb2709c0eaf508738937073c9437ef42ab46660444cd84077963c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:20.807660Z","signature_b64":"89BL/RYhkaUuJVyE+CoFeC8w4ydWiIUGxN1UPc/ngLIw0PudeQwEvqEeRr5/WMAM2U+0nLveR26MhXhaazm2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8eb19a42766eb2709c0eaf508738937073c9437ef42ab46660444cd84077963c","last_reissued_at":"2026-05-18T00:34:20.807196Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:20.807196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00018","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5k7Nso7Br6oshW/3HDOruq/KnQIH9kLbvWIxazru/SCkUex6toIz2GBXM9ihX0g+vDXAMptSO/RmsOblpMhmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T21:18:11.628247Z"},"content_sha256":"9543864b0ac79272fb41b324641bc061c73be551f935091600df8d028930abe3","schema_version":"1.0","event_id":"sha256:9543864b0ac79272fb41b324641bc061c73be551f935091600df8d028930abe3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:R2YZUQTWN2ZHBHAOV5IIOOETOB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"More On Cosmological Gravitational Waves And Their Memories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Yi-Zen Chu","submitted_at":"2016-10-31T20:05:53Z","abstract_excerpt":"We extend recent theoretical results on the propagation of linear gravitational waves (GWs), including their associated memories, in spatially flat Friedmann--Lema\\^{i}tre--Robertson--Walker (FLRW) universes, for all spacetime dimensions higher than 3. By specializing to a cosmology driven by a perfect fluid with a constant equation-of-state $w$ -- conformal re-scaling, dimension-reduction and Nariai's ansatz may then be exploited to obtain analytic expressions for the graviton and photon Green's functions, allowing their causal structure to be elucidated. When $0 < w \\leq 1$, the gauge-invari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00018","kind":"arxiv","version":4},"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":"2026-05-18T00:34:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A5lDAvv1l7gPsTJrsWzf6kgKiPBSb07b9EsS2wR+RA27QYz7xgwCJMyWxJpBU8CjwAXRHqqNZczv71jXvKDzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T21:18:11.628842Z"},"content_sha256":"e756f0e5d97d6ac7eb5f9bf60a65617dfc3e51ba37b8a9009a4fef0c722e5694","schema_version":"1.0","event_id":"sha256:e756f0e5d97d6ac7eb5f9bf60a65617dfc3e51ba37b8a9009a4fef0c722e5694"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R2YZUQTWN2ZHBHAOV5IIOOETOB/bundle.json","state_url":"https://pith.science/pith/R2YZUQTWN2ZHBHAOV5IIOOETOB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R2YZUQTWN2ZHBHAOV5IIOOETOB/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":"2026-05-18T21:18:11Z","links":{"resolver":"https://pith.science/pith/R2YZUQTWN2ZHBHAOV5IIOOETOB","bundle":"https://pith.science/pith/R2YZUQTWN2ZHBHAOV5IIOOETOB/bundle.json","state":"https://pith.science/pith/R2YZUQTWN2ZHBHAOV5IIOOETOB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R2YZUQTWN2ZHBHAOV5IIOOETOB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:R2YZUQTWN2ZHBHAOV5IIOOETOB","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":"418302573657c9763595e8fff546b16130ac04646c66ebb560dd4e5fe78964eb","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-31T20:05:53Z","title_canon_sha256":"91c63ddc29b2164ddcf400db563061f56a4ef281e0d210e2cf03e348c1fdb959"},"schema_version":"1.0","source":{"id":"1611.00018","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00018","created_at":"2026-05-18T00:34:20Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00018v4","created_at":"2026-05-18T00:34:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00018","created_at":"2026-05-18T00:34:20Z"},{"alias_kind":"pith_short_12","alias_value":"R2YZUQTWN2ZH","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"R2YZUQTWN2ZHBHAO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"R2YZUQTW","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:e756f0e5d97d6ac7eb5f9bf60a65617dfc3e51ba37b8a9009a4fef0c722e5694","target":"graph","created_at":"2026-05-18T00:34:20Z","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 extend recent theoretical results on the propagation of linear gravitational waves (GWs), including their associated memories, in spatially flat Friedmann--Lema\\^{i}tre--Robertson--Walker (FLRW) universes, for all spacetime dimensions higher than 3. By specializing to a cosmology driven by a perfect fluid with a constant equation-of-state $w$ -- conformal re-scaling, dimension-reduction and Nariai's ansatz may then be exploited to obtain analytic expressions for the graviton and photon Green's functions, allowing their causal structure to be elucidated. When $0 < w \\leq 1$, the gauge-invari","authors_text":"Yi-Zen Chu","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-31T20:05:53Z","title":"More On Cosmological Gravitational Waves And Their Memories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00018","kind":"arxiv","version":4},"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":"sha256:9543864b0ac79272fb41b324641bc061c73be551f935091600df8d028930abe3","target":"record","created_at":"2026-05-18T00:34:20Z","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":"418302573657c9763595e8fff546b16130ac04646c66ebb560dd4e5fe78964eb","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-31T20:05:53Z","title_canon_sha256":"91c63ddc29b2164ddcf400db563061f56a4ef281e0d210e2cf03e348c1fdb959"},"schema_version":"1.0","source":{"id":"1611.00018","kind":"arxiv","version":4}},"canonical_sha256":"8eb19a42766eb2709c0eaf508738937073c9437ef42ab46660444cd84077963c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8eb19a42766eb2709c0eaf508738937073c9437ef42ab46660444cd84077963c","first_computed_at":"2026-05-18T00:34:20.807196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:20.807196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"89BL/RYhkaUuJVyE+CoFeC8w4ydWiIUGxN1UPc/ngLIw0PudeQwEvqEeRr5/WMAM2U+0nLveR26MhXhaazm2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:20.807660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00018","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9543864b0ac79272fb41b324641bc061c73be551f935091600df8d028930abe3","sha256:e756f0e5d97d6ac7eb5f9bf60a65617dfc3e51ba37b8a9009a4fef0c722e5694"],"state_sha256":"234d87c8f1c6594033c73426d9723da7a667ec1f8f209e1077900e91e807e395"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ys8UM1uxo6kF2BdSx6Oj9ui8pkTkyVuJJnepqEJjApHGjFa6xbpDwYbBvPWY3VYJLWjxBHSnBOumraSb2l/mCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T21:18:11.630225Z","bundle_sha256":"253823a6d5d88cb1a08a31c049e38224d08aa7c1b81806457cf8e00305ad6cab"}}