{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:Y4JAX2BH4A66VPYVXLDWOCQLQG","short_pith_number":"pith:Y4JAX2BH","canonical_record":{"source":{"id":"1704.04827","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-16T22:11:12Z","cross_cats_sorted":[],"title_canon_sha256":"c51313771a536d843d6a309386d5f31d653c3d43ecc82c26ad1a40d98b05656b","abstract_canon_sha256":"501a404fbdd2d8bcc21cb62e4512670e41d00b1a54c711662ba356143917fc98"},"schema_version":"1.0"},"canonical_sha256":"c7120be827e03deabf15bac7670a0b81882b7ded2605b50aba1f239ac0bf7937","source":{"kind":"arxiv","id":"1704.04827","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04827","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04827v2","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04827","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"Y4JAX2BH4A66","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"Y4JAX2BH4A66VPYV","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"Y4JAX2BH","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:Y4JAX2BH4A66VPYVXLDWOCQLQG","target":"record","payload":{"canonical_record":{"source":{"id":"1704.04827","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-16T22:11:12Z","cross_cats_sorted":[],"title_canon_sha256":"c51313771a536d843d6a309386d5f31d653c3d43ecc82c26ad1a40d98b05656b","abstract_canon_sha256":"501a404fbdd2d8bcc21cb62e4512670e41d00b1a54c711662ba356143917fc98"},"schema_version":"1.0"},"canonical_sha256":"c7120be827e03deabf15bac7670a0b81882b7ded2605b50aba1f239ac0bf7937","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:10.662694Z","signature_b64":"b+5D0QuBYOEzvy85Hj7LGths8ravm7dWDgihwW1pb6n9bb+X259T/8B+W+5HRkAcqQOuPKvPpYd2W2rbGjjkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7120be827e03deabf15bac7670a0b81882b7ded2605b50aba1f239ac0bf7937","last_reissued_at":"2026-05-18T00:45:10.662047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:10.662047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.04827","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":"2026-05-18T00:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bhPYF6FmQG57Ce+v4XbgjdE4YgFQEilrccgcX0zKOsJvDleTMkEIK0eYQ1KcvV7R304/rymNZS+nZcrrojBNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T19:26:32.172752Z"},"content_sha256":"0a4546726e78641651c0bac55543ffd03bf5f4ba1810ed1911923473a5520edf","schema_version":"1.0","event_id":"sha256:0a4546726e78641651c0bac55543ffd03bf5f4ba1810ed1911923473a5520edf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:Y4JAX2BH4A66VPYVXLDWOCQLQG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell $p$-form theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alena Pravdova, Martin Kuchynka","submitted_at":"2017-04-16T22:11:12Z","abstract_excerpt":"We consider $d$-dimensional solutions to the electrovacuum Einstein-Maxwell equations with the Weyl tensor of type N and a null Maxwell $(p+1)$-form field. We prove that such spacetimes are necessarily aligned, i.e. the Weyl tensor of the corresponding spacetime and the electromagnetic field share the same \\textit{aligned null direction} (AND). Moreover, this AND is geodetic, shear-free, non-expanding and non-twisting and hence Einstein-Maxwell equations imply that Weyl type N spacetimes with a null Maxwell $(p+1)$-form field belong to the Kundt class. Moreover, these Kundt spacetimes are nece"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04827","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":"2026-05-18T00:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AabFGpnE12GaPa/uut9eUYyRA6RIGkvA09s22aIJNFrQNvS9DMqHvb0bqXEHx6O83+0rV82ZtrvV9dAdflr1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T19:26:32.173220Z"},"content_sha256":"19a927856c30d87d14c6aba8dd6d91dd6a3b600605b93adf4ac283cc16c6b844","schema_version":"1.0","event_id":"sha256:19a927856c30d87d14c6aba8dd6d91dd6a3b600605b93adf4ac283cc16c6b844"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y4JAX2BH4A66VPYVXLDWOCQLQG/bundle.json","state_url":"https://pith.science/pith/Y4JAX2BH4A66VPYVXLDWOCQLQG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y4JAX2BH4A66VPYVXLDWOCQLQG/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":"2026-05-20T19:26:32Z","links":{"resolver":"https://pith.science/pith/Y4JAX2BH4A66VPYVXLDWOCQLQG","bundle":"https://pith.science/pith/Y4JAX2BH4A66VPYVXLDWOCQLQG/bundle.json","state":"https://pith.science/pith/Y4JAX2BH4A66VPYVXLDWOCQLQG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y4JAX2BH4A66VPYVXLDWOCQLQG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Y4JAX2BH4A66VPYVXLDWOCQLQG","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":"501a404fbdd2d8bcc21cb62e4512670e41d00b1a54c711662ba356143917fc98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-16T22:11:12Z","title_canon_sha256":"c51313771a536d843d6a309386d5f31d653c3d43ecc82c26ad1a40d98b05656b"},"schema_version":"1.0","source":{"id":"1704.04827","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04827","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04827v2","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04827","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"Y4JAX2BH4A66","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"Y4JAX2BH4A66VPYV","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"Y4JAX2BH","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:19a927856c30d87d14c6aba8dd6d91dd6a3b600605b93adf4ac283cc16c6b844","target":"graph","created_at":"2026-05-18T00:45:10Z","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 consider $d$-dimensional solutions to the electrovacuum Einstein-Maxwell equations with the Weyl tensor of type N and a null Maxwell $(p+1)$-form field. We prove that such spacetimes are necessarily aligned, i.e. the Weyl tensor of the corresponding spacetime and the electromagnetic field share the same \\textit{aligned null direction} (AND). Moreover, this AND is geodetic, shear-free, non-expanding and non-twisting and hence Einstein-Maxwell equations imply that Weyl type N spacetimes with a null Maxwell $(p+1)$-form field belong to the Kundt class. Moreover, these Kundt spacetimes are nece","authors_text":"Alena Pravdova, Martin Kuchynka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-16T22:11:12Z","title":"Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell $p$-form theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04827","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":"sha256:0a4546726e78641651c0bac55543ffd03bf5f4ba1810ed1911923473a5520edf","target":"record","created_at":"2026-05-18T00:45:10Z","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":"501a404fbdd2d8bcc21cb62e4512670e41d00b1a54c711662ba356143917fc98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-16T22:11:12Z","title_canon_sha256":"c51313771a536d843d6a309386d5f31d653c3d43ecc82c26ad1a40d98b05656b"},"schema_version":"1.0","source":{"id":"1704.04827","kind":"arxiv","version":2}},"canonical_sha256":"c7120be827e03deabf15bac7670a0b81882b7ded2605b50aba1f239ac0bf7937","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7120be827e03deabf15bac7670a0b81882b7ded2605b50aba1f239ac0bf7937","first_computed_at":"2026-05-18T00:45:10.662047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:10.662047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b+5D0QuBYOEzvy85Hj7LGths8ravm7dWDgihwW1pb6n9bb+X259T/8B+W+5HRkAcqQOuPKvPpYd2W2rbGjjkBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:10.662694Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04827","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a4546726e78641651c0bac55543ffd03bf5f4ba1810ed1911923473a5520edf","sha256:19a927856c30d87d14c6aba8dd6d91dd6a3b600605b93adf4ac283cc16c6b844"],"state_sha256":"8a6e4a72d6e1907e5981ff394b52fcec71bf2fe19964d2df4c2f0afb1dc58a67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ivEtD88323MblH9Cv7UqAmIc0w6OST0PKLF0Z6rhBlYaUEpTHXiJY1/d1zrJ2mqBhTwvlCLssNjuVoiZ7iWXCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T19:26:32.175693Z","bundle_sha256":"60dbda0fbcf64e67c44f73362df493dc3dcf8fbefe421478c2717a522295ca03"}}