{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:3IPBAHWZM3EPUWLHDHEQSO5V7P","short_pith_number":"pith:3IPBAHWZ","canonical_record":{"source":{"id":"2204.09095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-04-19T18:59:04Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"230c11f55c71565b043bc791deff7f9ca74b7d1d6bed29a891d5137acbc92051","abstract_canon_sha256":"d20ca415e7aa1bfac08e39d65556e3379e3fd602d78d97d0da73fb33700b10f8"},"schema_version":"1.0"},"canonical_sha256":"da1e101ed966c8fa596719c9093bb5fbedc277d7fd8aee8575ffa7591306bf39","source":{"kind":"arxiv","id":"2204.09095","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.09095","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"2204.09095v1","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.09095","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"3IPBAHWZM3EP","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"pith_short_16","alias_value":"3IPBAHWZM3EPUWLH","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"pith_short_8","alias_value":"3IPBAHWZ","created_at":"2026-07-05T04:47:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:3IPBAHWZM3EPUWLHDHEQSO5V7P","target":"record","payload":{"canonical_record":{"source":{"id":"2204.09095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-04-19T18:59:04Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"230c11f55c71565b043bc791deff7f9ca74b7d1d6bed29a891d5137acbc92051","abstract_canon_sha256":"d20ca415e7aa1bfac08e39d65556e3379e3fd602d78d97d0da73fb33700b10f8"},"schema_version":"1.0"},"canonical_sha256":"da1e101ed966c8fa596719c9093bb5fbedc277d7fd8aee8575ffa7591306bf39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:47:41.679183Z","signature_b64":"8xac4R1nCZYbntlBiXMAvPCeoJnQ22KaJ0ixJGmdTpDsmZZoOVruWlJlMEXv/md74a7qGXNm5sAoQ8+7TMU4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da1e101ed966c8fa596719c9093bb5fbedc277d7fd8aee8575ffa7591306bf39","last_reissued_at":"2026-07-05T04:47:41.678525Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:47:41.678525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2204.09095","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:47:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FvekKd0HmR+cID9c2+A6bGFaEraXTwg9jZlCRDFFZCGUf4Hy5XUn0BcD/VYcWeQWR3N/sAtHI18wata4xr+cAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:22:02.273527Z"},"content_sha256":"638a983a0d601f23cf6ef18acf4f706610adb8fc44d4ef813f42a65b4591a316","schema_version":"1.0","event_id":"sha256:638a983a0d601f23cf6ef18acf4f706610adb8fc44d4ef813f42a65b4591a316"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:3IPBAHWZM3EPUWLHDHEQSO5V7P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational wave modes in matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Deepen Garg, I. Y. Dodin","submitted_at":"2022-04-19T18:59:04Z","abstract_excerpt":"A general linear gauge-invariant equation for dispersive gravitational waves (GWs) propagating in matter is derived. This equation describes, on the same footing, both the usual tensor modes and the gravitational modes strongly coupled with matter. It is shown that the effect of matter on the former is comparable to diffraction and therefore negligible within the geometrical-optics approximation. However, this approximation is applicable to modes strongly coupled with matter due to their large refractive index. GWs in ideal gas are studied using the kinetic average-Lagrangian approach and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.09095","kind":"arxiv","version":1},"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/2204.09095/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":"2026-07-05T04:47:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pozPWNrpsrtnIorudQWpesCG9Ll7z1lUbeda2L1/wYHavgs1dzNjCw9BFVv8m5ZtCDgWK3uJCyVG872LePy5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:22:02.274026Z"},"content_sha256":"d92ad63075dacd0e3b789a89ad77bf33a2b0b39dbdeddfd8034e85d04c4d6422","schema_version":"1.0","event_id":"sha256:d92ad63075dacd0e3b789a89ad77bf33a2b0b39dbdeddfd8034e85d04c4d6422"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IPBAHWZM3EPUWLHDHEQSO5V7P/bundle.json","state_url":"https://pith.science/pith/3IPBAHWZM3EPUWLHDHEQSO5V7P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IPBAHWZM3EPUWLHDHEQSO5V7P/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":"2026-08-08T07:22:02Z","links":{"resolver":"https://pith.science/pith/3IPBAHWZM3EPUWLHDHEQSO5V7P","bundle":"https://pith.science/pith/3IPBAHWZM3EPUWLHDHEQSO5V7P/bundle.json","state":"https://pith.science/pith/3IPBAHWZM3EPUWLHDHEQSO5V7P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IPBAHWZM3EPUWLHDHEQSO5V7P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:3IPBAHWZM3EPUWLHDHEQSO5V7P","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":"d20ca415e7aa1bfac08e39d65556e3379e3fd602d78d97d0da73fb33700b10f8","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-04-19T18:59:04Z","title_canon_sha256":"230c11f55c71565b043bc791deff7f9ca74b7d1d6bed29a891d5137acbc92051"},"schema_version":"1.0","source":{"id":"2204.09095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.09095","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"2204.09095v1","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.09095","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"3IPBAHWZM3EP","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"pith_short_16","alias_value":"3IPBAHWZM3EPUWLH","created_at":"2026-07-05T04:47:41Z"},{"alias_kind":"pith_short_8","alias_value":"3IPBAHWZ","created_at":"2026-07-05T04:47:41Z"}],"graph_snapshots":[{"event_id":"sha256:d92ad63075dacd0e3b789a89ad77bf33a2b0b39dbdeddfd8034e85d04c4d6422","target":"graph","created_at":"2026-07-05T04:47:41Z","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/2204.09095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A general linear gauge-invariant equation for dispersive gravitational waves (GWs) propagating in matter is derived. This equation describes, on the same footing, both the usual tensor modes and the gravitational modes strongly coupled with matter. It is shown that the effect of matter on the former is comparable to diffraction and therefore negligible within the geometrical-optics approximation. However, this approximation is applicable to modes strongly coupled with matter due to their large refractive index. GWs in ideal gas are studied using the kinetic average-Lagrangian approach and the ","authors_text":"Deepen Garg, I. Y. Dodin","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-04-19T18:59:04Z","title":"Gravitational wave modes in matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.09095","kind":"arxiv","version":1},"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":"sha256:638a983a0d601f23cf6ef18acf4f706610adb8fc44d4ef813f42a65b4591a316","target":"record","created_at":"2026-07-05T04:47:41Z","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":"d20ca415e7aa1bfac08e39d65556e3379e3fd602d78d97d0da73fb33700b10f8","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-04-19T18:59:04Z","title_canon_sha256":"230c11f55c71565b043bc791deff7f9ca74b7d1d6bed29a891d5137acbc92051"},"schema_version":"1.0","source":{"id":"2204.09095","kind":"arxiv","version":1}},"canonical_sha256":"da1e101ed966c8fa596719c9093bb5fbedc277d7fd8aee8575ffa7591306bf39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da1e101ed966c8fa596719c9093bb5fbedc277d7fd8aee8575ffa7591306bf39","first_computed_at":"2026-07-05T04:47:41.678525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:47:41.678525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8xac4R1nCZYbntlBiXMAvPCeoJnQ22KaJ0ixJGmdTpDsmZZoOVruWlJlMEXv/md74a7qGXNm5sAoQ8+7TMU4Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:47:41.679183Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.09095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:638a983a0d601f23cf6ef18acf4f706610adb8fc44d4ef813f42a65b4591a316","sha256:d92ad63075dacd0e3b789a89ad77bf33a2b0b39dbdeddfd8034e85d04c4d6422"],"state_sha256":"7aa91f00eb1b006eb55e54ea7b63c15457eda0b6cac8ee4e8009333d5047a764"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qZgizJQndBJ850ZuHobxAyYtqRU5PthIA7nlbOzS74HVWGfQFD3Vi33htZChwa45LkMIUj5844AwD2b5NtNhAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T07:22:02.278120Z","bundle_sha256":"e5a9c644d68d974e15cad5a41bc0f09e00268e4ede3a7fbe86ba8b4d9d983bf6"}}