{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SFWF52U7BU3WGPT6GHADPT4Y2Q","short_pith_number":"pith:SFWF52U7","canonical_record":{"source":{"id":"1106.5380","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T12:52:39Z","cross_cats_sorted":[],"title_canon_sha256":"387bc61e290b0d8ab067bb165fab375b7307f30cbe8912ab7a827c67584bda27","abstract_canon_sha256":"d4d2f87f59b0018c2924f3b7b93b8c6b11dc82d50567e49601bda83fd786eaea"},"schema_version":"1.0"},"canonical_sha256":"916c5eea9f0d37633e7e31c037cf98d407504b4240726c690beb93f615a761d9","source":{"kind":"arxiv","id":"1106.5380","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5380","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5380v2","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5380","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"SFWF52U7BU3W","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SFWF52U7BU3WGPT6","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SFWF52U7","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SFWF52U7BU3WGPT6GHADPT4Y2Q","target":"record","payload":{"canonical_record":{"source":{"id":"1106.5380","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T12:52:39Z","cross_cats_sorted":[],"title_canon_sha256":"387bc61e290b0d8ab067bb165fab375b7307f30cbe8912ab7a827c67584bda27","abstract_canon_sha256":"d4d2f87f59b0018c2924f3b7b93b8c6b11dc82d50567e49601bda83fd786eaea"},"schema_version":"1.0"},"canonical_sha256":"916c5eea9f0d37633e7e31c037cf98d407504b4240726c690beb93f615a761d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:41.656762Z","signature_b64":"Ic8dbF9eR/fOfmxr6DSk/azO9NXyqxAlGbQcPPNXdk373ewgvusnq4qVH2+lR0AVlETwFIkrGMmNJfr0GllUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"916c5eea9f0d37633e7e31c037cf98d407504b4240726c690beb93f615a761d9","last_reissued_at":"2026-05-18T04:07:41.656100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:41.656100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.5380","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":"2026-05-18T04:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9sKh454lp7pAAxDFj3CSx4S20Vi06V0Anl1/puIeD3386CUz0bBAvgoEpf1TfBbXwVbjvuRONMPRSnInnSUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:31:45.931805Z"},"content_sha256":"38219e75593b921281a19d3016bd0122d21df9cc9f7e223a14859907ed775c42","schema_version":"1.0","event_id":"sha256:38219e75593b921281a19d3016bd0122d21df9cc9f7e223a14859907ed775c42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SFWF52U7BU3WGPT6GHADPT4Y2Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Piecewise Flat Gravitational Waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Maarten van de Meent","submitted_at":"2011-06-27T12:52:39Z","abstract_excerpt":"We generalize our previous linear result [1] in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact piecewise flat configurations describing exact planar gravitational waves. We show explicitly how to construct a piecewise flat spacetime that describes an impulsive plane wavefront. From these wavefronts more general plane waves may be constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5380","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":"2026-05-18T04:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T4+1H6MJzEdGLuX3tSnxuO2hz3bi3V6Z0+BfxZ/u7Zza6jB8PSIHOKWRV/8GgazND8DbFSa+7S8ErGkO+6OYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:31:45.932459Z"},"content_sha256":"e3fe2ca9a78793d63e7fe27c64893ab287d13f334798fca62fe8a7e3d8896007","schema_version":"1.0","event_id":"sha256:e3fe2ca9a78793d63e7fe27c64893ab287d13f334798fca62fe8a7e3d8896007"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SFWF52U7BU3WGPT6GHADPT4Y2Q/bundle.json","state_url":"https://pith.science/pith/SFWF52U7BU3WGPT6GHADPT4Y2Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SFWF52U7BU3WGPT6GHADPT4Y2Q/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":"2026-05-26T05:31:45Z","links":{"resolver":"https://pith.science/pith/SFWF52U7BU3WGPT6GHADPT4Y2Q","bundle":"https://pith.science/pith/SFWF52U7BU3WGPT6GHADPT4Y2Q/bundle.json","state":"https://pith.science/pith/SFWF52U7BU3WGPT6GHADPT4Y2Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SFWF52U7BU3WGPT6GHADPT4Y2Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SFWF52U7BU3WGPT6GHADPT4Y2Q","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":"d4d2f87f59b0018c2924f3b7b93b8c6b11dc82d50567e49601bda83fd786eaea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T12:52:39Z","title_canon_sha256":"387bc61e290b0d8ab067bb165fab375b7307f30cbe8912ab7a827c67584bda27"},"schema_version":"1.0","source":{"id":"1106.5380","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5380","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5380v2","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5380","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"SFWF52U7BU3W","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SFWF52U7BU3WGPT6","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SFWF52U7","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:e3fe2ca9a78793d63e7fe27c64893ab287d13f334798fca62fe8a7e3d8896007","target":"graph","created_at":"2026-05-18T04:07:41Z","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"},"paper":{"abstract_excerpt":"We generalize our previous linear result [1] in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact piecewise flat configurations describing exact planar gravitational waves. We show explicitly how to construct a piecewise flat spacetime that describes an impulsive plane wavefront. From these wavefronts more general plane waves may be constructed.","authors_text":"Maarten van de Meent","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T12:52:39Z","title":"Exact Piecewise Flat Gravitational Waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5380","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":"sha256:38219e75593b921281a19d3016bd0122d21df9cc9f7e223a14859907ed775c42","target":"record","created_at":"2026-05-18T04:07:41Z","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":"d4d2f87f59b0018c2924f3b7b93b8c6b11dc82d50567e49601bda83fd786eaea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T12:52:39Z","title_canon_sha256":"387bc61e290b0d8ab067bb165fab375b7307f30cbe8912ab7a827c67584bda27"},"schema_version":"1.0","source":{"id":"1106.5380","kind":"arxiv","version":2}},"canonical_sha256":"916c5eea9f0d37633e7e31c037cf98d407504b4240726c690beb93f615a761d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"916c5eea9f0d37633e7e31c037cf98d407504b4240726c690beb93f615a761d9","first_computed_at":"2026-05-18T04:07:41.656100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:41.656100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ic8dbF9eR/fOfmxr6DSk/azO9NXyqxAlGbQcPPNXdk373ewgvusnq4qVH2+lR0AVlETwFIkrGMmNJfr0GllUCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:41.656762Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5380","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38219e75593b921281a19d3016bd0122d21df9cc9f7e223a14859907ed775c42","sha256:e3fe2ca9a78793d63e7fe27c64893ab287d13f334798fca62fe8a7e3d8896007"],"state_sha256":"a5f8884c5472d73cd20efe15fe7c34df534148571f2f9006c4e10c7b1cd7e6e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AX5IM03XmlNrMMy5PglRvLg1FusT7MgkazFZf4mfWQaizoL64oTq6hJLPdz7YlMOxceWt1n1GrgL2aw5W5VFDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T05:31:45.935938Z","bundle_sha256":"760f253badeb3d3202038220df405e45ec0f8c67d0aadf9533c66ba8eb5b2a28"}}