{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NCXSYDV5RIFYEXI5M2T35V3ZVJ","short_pith_number":"pith:NCXSYDV5","canonical_record":{"source":{"id":"2607.00539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-01T07:30:19Z","cross_cats_sorted":[],"title_canon_sha256":"1527d2eb82095faeb210918cbff06b60a90ee0bb0e477b9133b29729bab1252a","abstract_canon_sha256":"73543c2ee6c693d173ce41d85d44134ea0dd5cbadfe742bed70059549ce60da5"},"schema_version":"1.0"},"canonical_sha256":"68af2c0ebd8a0b825d1d66a7bed779aa7b62a333d06f0699798ca20a342927b5","source":{"kind":"arxiv","id":"2607.00539","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00539","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00539v1","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00539","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"NCXSYDV5RIFY","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"pith_short_16","alias_value":"NCXSYDV5RIFYEXI5","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"pith_short_8","alias_value":"NCXSYDV5","created_at":"2026-07-02T01:17:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NCXSYDV5RIFYEXI5M2T35V3ZVJ","target":"record","payload":{"canonical_record":{"source":{"id":"2607.00539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-01T07:30:19Z","cross_cats_sorted":[],"title_canon_sha256":"1527d2eb82095faeb210918cbff06b60a90ee0bb0e477b9133b29729bab1252a","abstract_canon_sha256":"73543c2ee6c693d173ce41d85d44134ea0dd5cbadfe742bed70059549ce60da5"},"schema_version":"1.0"},"canonical_sha256":"68af2c0ebd8a0b825d1d66a7bed779aa7b62a333d06f0699798ca20a342927b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-02T01:17:47.017883Z","signature_b64":"C8S1ohzhJJl9Oc2kvK4f9SzH3TwlnlD8PH+VWsDBpTYCrhUw/9XhnYG9NZ2OR+C+SQgYZIrpazGLrYuaArBYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68af2c0ebd8a0b825d1d66a7bed779aa7b62a333d06f0699798ca20a342927b5","last_reissued_at":"2026-07-02T01:17:47.017490Z","signature_status":"signed_v1","first_computed_at":"2026-07-02T01:17:47.017490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.00539","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":"2026-07-02T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"05Ql2+MrW0k8VfEXsUJRgsHUfVY8Fob0EgcWmmGpcuhyTVQ8WQzErDw2AIA4t2qngY9PRkd356QvWeLqJQfcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T16:02:37.611779Z"},"content_sha256":"1fdf4e2ee6869319d8edabc244abe8a32d74bfb8f1843d3f339a3377d1559cb5","schema_version":"1.0","event_id":"sha256:1fdf4e2ee6869319d8edabc244abe8a32d74bfb8f1843d3f339a3377d1559cb5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NCXSYDV5RIFYEXI5M2T35V3ZVJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reference Frames and Gravitational-Wave Polarizations: Symmetry Classification and Preferred-Frame Phenomenology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hao Li, Jie Zhu","submitted_at":"2026-07-01T07:30:19Z","abstract_excerpt":"Gravitational wave (GW) polarizations are traditionally classified in a fixed frame ($E(2)$ classification), which does not account for how polarization patterns change under Lorentz boosts. In this work, we derive the explicit transformation laws for all six GW polarizations under longitudinal and transverse boosts. For gravity theories devoid of preferred frames, we propose a symmetry-based classification of the GW polarizations they admit. Among our key findings, we demonstrate that a propagating mode with five degrees of freedom strictly locks its longitudinal and breathing scalar amplitud"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00539","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/2607.00539/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":"2026-07-02T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"87yXo1Jij1NtHO96j5SXKmbbA4g/d8v2iJb1uXcJCxp+u2WLIOY3af1a8ZRlzM/K5KpGm83Swq6BfpFm0jq9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T16:02:37.612150Z"},"content_sha256":"78ab6581cf53df0aaf681e271d5bdcd79653f9b2838e0e95e8024044c14e4999","schema_version":"1.0","event_id":"sha256:78ab6581cf53df0aaf681e271d5bdcd79653f9b2838e0e95e8024044c14e4999"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCXSYDV5RIFYEXI5M2T35V3ZVJ/bundle.json","state_url":"https://pith.science/pith/NCXSYDV5RIFYEXI5M2T35V3ZVJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCXSYDV5RIFYEXI5M2T35V3ZVJ/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":"2026-07-02T16:02:37Z","links":{"resolver":"https://pith.science/pith/NCXSYDV5RIFYEXI5M2T35V3ZVJ","bundle":"https://pith.science/pith/NCXSYDV5RIFYEXI5M2T35V3ZVJ/bundle.json","state":"https://pith.science/pith/NCXSYDV5RIFYEXI5M2T35V3ZVJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCXSYDV5RIFYEXI5M2T35V3ZVJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NCXSYDV5RIFYEXI5M2T35V3ZVJ","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":"73543c2ee6c693d173ce41d85d44134ea0dd5cbadfe742bed70059549ce60da5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-01T07:30:19Z","title_canon_sha256":"1527d2eb82095faeb210918cbff06b60a90ee0bb0e477b9133b29729bab1252a"},"schema_version":"1.0","source":{"id":"2607.00539","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00539","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00539v1","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00539","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"NCXSYDV5RIFY","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"pith_short_16","alias_value":"NCXSYDV5RIFYEXI5","created_at":"2026-07-02T01:17:47Z"},{"alias_kind":"pith_short_8","alias_value":"NCXSYDV5","created_at":"2026-07-02T01:17:47Z"}],"graph_snapshots":[{"event_id":"sha256:78ab6581cf53df0aaf681e271d5bdcd79653f9b2838e0e95e8024044c14e4999","target":"graph","created_at":"2026-07-02T01:17:47Z","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/2607.00539/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Gravitational wave (GW) polarizations are traditionally classified in a fixed frame ($E(2)$ classification), which does not account for how polarization patterns change under Lorentz boosts. In this work, we derive the explicit transformation laws for all six GW polarizations under longitudinal and transverse boosts. For gravity theories devoid of preferred frames, we propose a symmetry-based classification of the GW polarizations they admit. Among our key findings, we demonstrate that a propagating mode with five degrees of freedom strictly locks its longitudinal and breathing scalar amplitud","authors_text":"Hao Li, Jie Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-01T07:30:19Z","title":"Reference Frames and Gravitational-Wave Polarizations: Symmetry Classification and Preferred-Frame Phenomenology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00539","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":"sha256:1fdf4e2ee6869319d8edabc244abe8a32d74bfb8f1843d3f339a3377d1559cb5","target":"record","created_at":"2026-07-02T01:17:47Z","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":"73543c2ee6c693d173ce41d85d44134ea0dd5cbadfe742bed70059549ce60da5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-01T07:30:19Z","title_canon_sha256":"1527d2eb82095faeb210918cbff06b60a90ee0bb0e477b9133b29729bab1252a"},"schema_version":"1.0","source":{"id":"2607.00539","kind":"arxiv","version":1}},"canonical_sha256":"68af2c0ebd8a0b825d1d66a7bed779aa7b62a333d06f0699798ca20a342927b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68af2c0ebd8a0b825d1d66a7bed779aa7b62a333d06f0699798ca20a342927b5","first_computed_at":"2026-07-02T01:17:47.017490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T01:17:47.017490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C8S1ohzhJJl9Oc2kvK4f9SzH3TwlnlD8PH+VWsDBpTYCrhUw/9XhnYG9NZ2OR+C+SQgYZIrpazGLrYuaArBYAA==","signature_status":"signed_v1","signed_at":"2026-07-02T01:17:47.017883Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.00539","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fdf4e2ee6869319d8edabc244abe8a32d74bfb8f1843d3f339a3377d1559cb5","sha256:78ab6581cf53df0aaf681e271d5bdcd79653f9b2838e0e95e8024044c14e4999"],"state_sha256":"54292d9a48635e440da6a529306bc46db0d8346d96a317e16d05b84848b5ca00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yGx6DVCkJ+/NZQYHogoH8PeRxKhPP6FeUuP7+7kx8ReWaXvu7scvWgfcb9S7zPxrOZr/QQBLec6RmW0qmsRaAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T16:02:37.614155Z","bundle_sha256":"ecde0595ddee43a845b18308e60a57b62e5cc78c8178ccac8de6f8cd508f2df0"}}