{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PSEOMMZTUKHYPXVRBJIEMIBYD7","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":"41965afa6ddc318bcebd4707959442ca33895748fe3bba688963173e90ef92d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T22:39:05Z","title_canon_sha256":"a17d86d0da2364e7ce8a21244949307aa9687272f15cc5429875a481b4f91370"},"schema_version":"1.0","source":{"id":"1307.6263","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6263","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6263v3","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6263","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"PSEOMMZTUKHY","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PSEOMMZTUKHYPXVR","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PSEOMMZT","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:afa29136a28592f55800cec9671a23c96664737f3551e7764c634783410e25f4","target":"graph","created_at":"2026-05-18T01:20:22Z","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":"Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimension-one. Their geodesics are in one-to-one correspondence with dynamical trajectories of a non-relativistic system. Similarly, the null dimensional reduction of Klein-Gordon's equation on this class of gravitational waves leads to a Schroedinger equation on curved space. These properties are generalized to the class of gravitational waves with a null Killing vector field, of which we propose a new geometric definition,","authors_text":"Kevin Morand, Xavier Bekaert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T22:39:05Z","title":"Embedding nonrelativistic physics inside a gravitational wave"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6263","kind":"arxiv","version":3},"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":"sha256:217088d14d95c1fa5edb1dbce763d8c48622814c7746059f177d954db15e431e","target":"record","created_at":"2026-05-18T01:20:22Z","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":"41965afa6ddc318bcebd4707959442ca33895748fe3bba688963173e90ef92d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T22:39:05Z","title_canon_sha256":"a17d86d0da2364e7ce8a21244949307aa9687272f15cc5429875a481b4f91370"},"schema_version":"1.0","source":{"id":"1307.6263","kind":"arxiv","version":3}},"canonical_sha256":"7c88e63333a28f87deb10a504620381fff9eee539d8c0953f93bb5556af9638d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c88e63333a28f87deb10a504620381fff9eee539d8c0953f93bb5556af9638d","first_computed_at":"2026-05-18T01:20:22.470997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:22.470997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IRouRDmOsslQuFrtQj6BeiJFBUk6K0neQFU8fgh+vnDJZ+V6DJ38F5MOy+lGMEGEYwq04F5j148+C3bBsncvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:22.471661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6263","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:217088d14d95c1fa5edb1dbce763d8c48622814c7746059f177d954db15e431e","sha256:afa29136a28592f55800cec9671a23c96664737f3551e7764c634783410e25f4"],"state_sha256":"07db5f0a7bf3dc196aa60040c384e13198b75858ef78f191a8d8fd2f7072a5f0"}