{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:DAXON67J5KNBQRNNZZ5SWE7KW6","short_pith_number":"pith:DAXON67J","canonical_record":{"source":{"id":"1006.4146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-21T19:45:51Z","cross_cats_sorted":[],"title_canon_sha256":"51aa7c05d35923a48139e9256717301896d9f9049a4cc85968a83a619c6c18e7","abstract_canon_sha256":"3b029cf17740059ccbd8f14364c0896c9844a1d9937c53584e1c8cf6d540e36e"},"schema_version":"1.0"},"canonical_sha256":"182ee6fbe9ea9a1845adce7b2b13eab7ac043e2dad2b94ff38db14a93743aaca","source":{"kind":"arxiv","id":"1006.4146","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4146","created_at":"2026-05-18T04:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4146v2","created_at":"2026-05-18T04:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4146","created_at":"2026-05-18T04:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"DAXON67J5KNB","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DAXON67J5KNBQRNN","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DAXON67J","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:DAXON67J5KNBQRNNZZ5SWE7KW6","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-21T19:45:51Z","cross_cats_sorted":[],"title_canon_sha256":"51aa7c05d35923a48139e9256717301896d9f9049a4cc85968a83a619c6c18e7","abstract_canon_sha256":"3b029cf17740059ccbd8f14364c0896c9844a1d9937c53584e1c8cf6d540e36e"},"schema_version":"1.0"},"canonical_sha256":"182ee6fbe9ea9a1845adce7b2b13eab7ac043e2dad2b94ff38db14a93743aaca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:45.646679Z","signature_b64":"UDBtbHXf72BVV/J9hnIV7339jR+vqFTZTtxJFs/Oj5lJBBDCr3hos2ap03LSXmmOCdpChArqDqpp+pX9mNm0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"182ee6fbe9ea9a1845adce7b2b13eab7ac043e2dad2b94ff38db14a93743aaca","last_reissued_at":"2026-05-18T04:26:45.646028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:45.646028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4146","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":"2026-05-18T04:26:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6R1ZaK38wzC0EBWwNCUIV5BBrxbFBZDGBOD85vhbMu72cTdxshb1C7JgH7ecisJTdfez7n8Gi9NEBHw8zU9NAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:42:20.965728Z"},"content_sha256":"b3d7af4cee7a7459de92826f174bbd081f04b077e99ac14ccf562cf0d592cef6","schema_version":"1.0","event_id":"sha256:b3d7af4cee7a7459de92826f174bbd081f04b077e99ac14ccf562cf0d592cef6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:DAXON67J5KNBQRNNZZ5SWE7KW6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On plane gravitational waves in real connection variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Franz Hinterleitner, Seth Major","submitted_at":"2010-06-21T19:45:51Z","abstract_excerpt":"We investigate using plane fronted gravitational wave space-times as model systems to study loop quantization techniques and dispersion relations. In this classical analysis, we start with planar symmetric space-times in the real connection formulation. We reduce via Dirac constraint analysis to a final form with one canonical pair and one constraint, equivalent to the metric and Einstein equations of plane-fronted with parallel rays waves. Due to the symmetries and use of special coordinates general covariance is broken. However, this allows us to simply express the constraints of the consist"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4146","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":"2026-05-18T04:26:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SZiiwxauLVlJl0r2dGWylyc57M6hXhM71auzNiiGtmx4PRyCGElprWBzogFOFS43JIzxTBTKoEFJARqIVXa6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:42:20.966077Z"},"content_sha256":"a74af2d37148f7e66fbd8d827fe9d8edfed220fbf8b6b1fa6430302c5a4ba50f","schema_version":"1.0","event_id":"sha256:a74af2d37148f7e66fbd8d827fe9d8edfed220fbf8b6b1fa6430302c5a4ba50f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DAXON67J5KNBQRNNZZ5SWE7KW6/bundle.json","state_url":"https://pith.science/pith/DAXON67J5KNBQRNNZZ5SWE7KW6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DAXON67J5KNBQRNNZZ5SWE7KW6/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":"2026-06-01T05:42:20Z","links":{"resolver":"https://pith.science/pith/DAXON67J5KNBQRNNZZ5SWE7KW6","bundle":"https://pith.science/pith/DAXON67J5KNBQRNNZZ5SWE7KW6/bundle.json","state":"https://pith.science/pith/DAXON67J5KNBQRNNZZ5SWE7KW6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DAXON67J5KNBQRNNZZ5SWE7KW6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DAXON67J5KNBQRNNZZ5SWE7KW6","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":"3b029cf17740059ccbd8f14364c0896c9844a1d9937c53584e1c8cf6d540e36e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-21T19:45:51Z","title_canon_sha256":"51aa7c05d35923a48139e9256717301896d9f9049a4cc85968a83a619c6c18e7"},"schema_version":"1.0","source":{"id":"1006.4146","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4146","created_at":"2026-05-18T04:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4146v2","created_at":"2026-05-18T04:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4146","created_at":"2026-05-18T04:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"DAXON67J5KNB","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DAXON67J5KNBQRNN","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DAXON67J","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:a74af2d37148f7e66fbd8d827fe9d8edfed220fbf8b6b1fa6430302c5a4ba50f","target":"graph","created_at":"2026-05-18T04:26:45Z","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 investigate using plane fronted gravitational wave space-times as model systems to study loop quantization techniques and dispersion relations. In this classical analysis, we start with planar symmetric space-times in the real connection formulation. We reduce via Dirac constraint analysis to a final form with one canonical pair and one constraint, equivalent to the metric and Einstein equations of plane-fronted with parallel rays waves. Due to the symmetries and use of special coordinates general covariance is broken. However, this allows us to simply express the constraints of the consist","authors_text":"Franz Hinterleitner, Seth Major","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-21T19:45:51Z","title":"On plane gravitational waves in real connection variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4146","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:b3d7af4cee7a7459de92826f174bbd081f04b077e99ac14ccf562cf0d592cef6","target":"record","created_at":"2026-05-18T04:26:45Z","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":"3b029cf17740059ccbd8f14364c0896c9844a1d9937c53584e1c8cf6d540e36e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-21T19:45:51Z","title_canon_sha256":"51aa7c05d35923a48139e9256717301896d9f9049a4cc85968a83a619c6c18e7"},"schema_version":"1.0","source":{"id":"1006.4146","kind":"arxiv","version":2}},"canonical_sha256":"182ee6fbe9ea9a1845adce7b2b13eab7ac043e2dad2b94ff38db14a93743aaca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"182ee6fbe9ea9a1845adce7b2b13eab7ac043e2dad2b94ff38db14a93743aaca","first_computed_at":"2026-05-18T04:26:45.646028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:45.646028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UDBtbHXf72BVV/J9hnIV7339jR+vqFTZTtxJFs/Oj5lJBBDCr3hos2ap03LSXmmOCdpChArqDqpp+pX9mNm0Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:45.646679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4146","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3d7af4cee7a7459de92826f174bbd081f04b077e99ac14ccf562cf0d592cef6","sha256:a74af2d37148f7e66fbd8d827fe9d8edfed220fbf8b6b1fa6430302c5a4ba50f"],"state_sha256":"6338b9ced59798a6b53e7cfb4139c2d649fb6c47e0a19581681745e9897d6e06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DSPySBgpMqvgPgLEpMgQU0dW9LRN6OLKhXRDRql0ZYnSHDxtFpcAS5qU2XGnjv7fDbJdbd3GzWXV4DLlI7y4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:42:20.968112Z","bundle_sha256":"47972d63ef71d68fa0f56fc4e85be840bc5a3b469211923c661b999b1f7937e8"}}