{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:L6VLHE42SFAGWPH5YTQ42Z2XOR","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":"36f03a71ef237f129ea2e6419ea7b00848340682e71dbb004018bed2ce1c11c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-23T15:53:12Z","title_canon_sha256":"b6d75c5b36aec875f19f7553f76abc8082ddc7fcc2aae8428dc59efe9d7ff629"},"schema_version":"1.0","source":{"id":"1612.08015","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08015","created_at":"2026-05-18T00:19:42Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08015v3","created_at":"2026-05-18T00:19:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08015","created_at":"2026-05-18T00:19:42Z"},{"alias_kind":"pith_short_12","alias_value":"L6VLHE42SFAG","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L6VLHE42SFAGWPH5","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L6VLHE42","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:9b084eb72a294b1682334986ad25379657700eddbe8fbee3f927f3c3e6e19830","target":"graph","created_at":"2026-05-18T00:19:42Z","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 give the classification of T-duals of the flat background in four dimensions with respect to one-, two-, and three-dimensional subgroups of the Poincar\\'e group using non-Abelian T-duality with spectators. As duals we find backgrounds for sigma models in the form of plane-parallel waves or diagonalizable curved metrics often with torsion. Among others, we find exactly solvable time-dependent isotropic pp-wave, singular pp-waves, or generalized plane wave (K-model).","authors_text":"Filip Petrasek, Ivo Petr, Ladislav Hlavaty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-23T15:53:12Z","title":"Plane-parallel waves as duals of the flat background II: T-duality with spectators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08015","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":"sha256:7e1628112a1bc37a4203b4880de0acae8e668cb6d6905282550fb2219ced1ebb","target":"record","created_at":"2026-05-18T00:19:42Z","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":"36f03a71ef237f129ea2e6419ea7b00848340682e71dbb004018bed2ce1c11c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-23T15:53:12Z","title_canon_sha256":"b6d75c5b36aec875f19f7553f76abc8082ddc7fcc2aae8428dc59efe9d7ff629"},"schema_version":"1.0","source":{"id":"1612.08015","kind":"arxiv","version":3}},"canonical_sha256":"5faab3939a91406b3cfdc4e1cd67577446a43f9afa4ba1f23083e14804563a7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5faab3939a91406b3cfdc4e1cd67577446a43f9afa4ba1f23083e14804563a7e","first_computed_at":"2026-05-18T00:19:42.498766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:42.498766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xb7kWZHCvJcID3Crx1lMoK7nmFddhtUfBvQwZeKWX9zNRBquZaHWknKNBNEHlT4g8vcbYqLia/roRPzBetxsDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:42.499501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08015","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e1628112a1bc37a4203b4880de0acae8e668cb6d6905282550fb2219ced1ebb","sha256:9b084eb72a294b1682334986ad25379657700eddbe8fbee3f927f3c3e6e19830"],"state_sha256":"f9b97aaead01f1044cd9b02984ad61b9e882c54c7dbac5426dc88499689197cc"}