{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:2QNWSFJHVJQOHKGZVS6FRQIHVH","short_pith_number":"pith:2QNWSFJH","canonical_record":{"source":{"id":"gr-qc/0312051","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T13:02:46Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"a172ea9abf7a3bb758c18eddc2d01f2831cfd556c9ac0827730401c752e690d9","abstract_canon_sha256":"0a3c1f8b0bdbb8ba3694afdae1722df5694d9dc7042c895cffb5dbe52f5d470c"},"schema_version":"1.0"},"canonical_sha256":"d41b691527aa60e3a8d9acbc58c107a9edd40f5d142a28a8a87b5c27a9a38b98","source":{"kind":"arxiv","id":"gr-qc/0312051","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0312051","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0312051v2","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0312051","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"pith_short_12","alias_value":"2QNWSFJHVJQO","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"2QNWSFJHVJQOHKGZ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"2QNWSFJH","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:2QNWSFJHVJQOHKGZVS6FRQIHVH","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0312051","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T13:02:46Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"a172ea9abf7a3bb758c18eddc2d01f2831cfd556c9ac0827730401c752e690d9","abstract_canon_sha256":"0a3c1f8b0bdbb8ba3694afdae1722df5694d9dc7042c895cffb5dbe52f5d470c"},"schema_version":"1.0"},"canonical_sha256":"d41b691527aa60e3a8d9acbc58c107a9edd40f5d142a28a8a87b5c27a9a38b98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:00.392303Z","signature_b64":"I+RSLEt87KHXUnTSmS2vVLW4lZ5sIf5kYHKdVI9OiKozOfnR0qkW0nEhKJWGn8L++GDhNkOZT6W5HgNat2NTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d41b691527aa60e3a8d9acbc58c107a9edd40f5d142a28a8a87b5c27a9a38b98","last_reissued_at":"2026-05-18T01:09:00.391939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:00.391939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0312051","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":"2026-05-18T01:09:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"70CIP0lWKYqDWRddbLA/BxJVRMau9ouCDJF7d6oMztDtSAlI3ytiqRLi93/SsWxt8oq3PEJZt7JwUhNXFbI8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:01:47.577563Z"},"content_sha256":"255e5de0195ff5188779b2cabb670f44d413ab9dc0572e26b0f75049dac9e120","schema_version":"1.0","event_id":"sha256:255e5de0195ff5188779b2cabb670f44d413ab9dc0572e26b0f75049dac9e120"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:2QNWSFJHVJQOHKGZVS6FRQIHVH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear coupled Alfv\\'{e}n and gravitational waves","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"A. K\\\"allberg, G. Brodin, M. Bradley","submitted_at":"2003-12-09T13:02:46Z","abstract_excerpt":"In this paper we consider nonlinear interaction between gravitational and electromagnetic waves in a strongly magnetized plasma. More specifically, we investigate the propagation of gravitational waves with the direction of propagation perpendicular to a background magnetic field, and the coupling to compressional Alfv\\'{e}n waves. The gravitational waves are considered in the high frequency limit and the plasma is modelled by a multifluid description. We make a self-consistent, weakly nonlinear analysis of the Einstein-Maxwell system and derive a wave equation for the coupled gravitational an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0312051","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":"2026-05-18T01:09:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2mSoO6iuwXzURDy6juz+CtQ6cFFd9BC/01HHHY3Wm1wc0rK1tnSiWoy/gRKC5j7j5b0Bs3YdecKfXJnLZphCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:01:47.577912Z"},"content_sha256":"6f78e88fc5644959e3ac143fccd453243a36c9bddcab7e01abe0b111b17afbc9","schema_version":"1.0","event_id":"sha256:6f78e88fc5644959e3ac143fccd453243a36c9bddcab7e01abe0b111b17afbc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2QNWSFJHVJQOHKGZVS6FRQIHVH/bundle.json","state_url":"https://pith.science/pith/2QNWSFJHVJQOHKGZVS6FRQIHVH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2QNWSFJHVJQOHKGZVS6FRQIHVH/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":"2026-06-09T18:01:47Z","links":{"resolver":"https://pith.science/pith/2QNWSFJHVJQOHKGZVS6FRQIHVH","bundle":"https://pith.science/pith/2QNWSFJHVJQOHKGZVS6FRQIHVH/bundle.json","state":"https://pith.science/pith/2QNWSFJHVJQOHKGZVS6FRQIHVH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2QNWSFJHVJQOHKGZVS6FRQIHVH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:2QNWSFJHVJQOHKGZVS6FRQIHVH","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":"0a3c1f8b0bdbb8ba3694afdae1722df5694d9dc7042c895cffb5dbe52f5d470c","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T13:02:46Z","title_canon_sha256":"a172ea9abf7a3bb758c18eddc2d01f2831cfd556c9ac0827730401c752e690d9"},"schema_version":"1.0","source":{"id":"gr-qc/0312051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0312051","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0312051v2","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0312051","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"pith_short_12","alias_value":"2QNWSFJHVJQO","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"2QNWSFJHVJQOHKGZ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"2QNWSFJH","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:6f78e88fc5644959e3ac143fccd453243a36c9bddcab7e01abe0b111b17afbc9","target":"graph","created_at":"2026-05-18T01:09:00Z","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":"In this paper we consider nonlinear interaction between gravitational and electromagnetic waves in a strongly magnetized plasma. More specifically, we investigate the propagation of gravitational waves with the direction of propagation perpendicular to a background magnetic field, and the coupling to compressional Alfv\\'{e}n waves. The gravitational waves are considered in the high frequency limit and the plasma is modelled by a multifluid description. We make a self-consistent, weakly nonlinear analysis of the Einstein-Maxwell system and derive a wave equation for the coupled gravitational an","authors_text":"A. K\\\"allberg, G. Brodin, M. Bradley","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T13:02:46Z","title":"Nonlinear coupled Alfv\\'{e}n and gravitational waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0312051","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":"sha256:255e5de0195ff5188779b2cabb670f44d413ab9dc0572e26b0f75049dac9e120","target":"record","created_at":"2026-05-18T01:09:00Z","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":"0a3c1f8b0bdbb8ba3694afdae1722df5694d9dc7042c895cffb5dbe52f5d470c","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T13:02:46Z","title_canon_sha256":"a172ea9abf7a3bb758c18eddc2d01f2831cfd556c9ac0827730401c752e690d9"},"schema_version":"1.0","source":{"id":"gr-qc/0312051","kind":"arxiv","version":2}},"canonical_sha256":"d41b691527aa60e3a8d9acbc58c107a9edd40f5d142a28a8a87b5c27a9a38b98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d41b691527aa60e3a8d9acbc58c107a9edd40f5d142a28a8a87b5c27a9a38b98","first_computed_at":"2026-05-18T01:09:00.391939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:00.391939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I+RSLEt87KHXUnTSmS2vVLW4lZ5sIf5kYHKdVI9OiKozOfnR0qkW0nEhKJWGn8L++GDhNkOZT6W5HgNat2NTCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:00.392303Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0312051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:255e5de0195ff5188779b2cabb670f44d413ab9dc0572e26b0f75049dac9e120","sha256:6f78e88fc5644959e3ac143fccd453243a36c9bddcab7e01abe0b111b17afbc9"],"state_sha256":"e36995caaa73945e5555c5f0ee77926b7636019bb74ccdfd88408d8568b3e732"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EkU6EoDe94Gn2kjT+MkZhZGqLcM/292SBqjNb5pIQXiw4v1eHrQi2ECJ4Com40JYOE4XX1cfKBRPyNxo0zgHDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T18:01:47.579865Z","bundle_sha256":"e3e91445a932eef017bb9a55f15357ebb39058f7e0094ff4098d82eb26435507"}}