{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TN42MOZWTXHVCOCQSRY3T3DWRX","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":"b9dc712bdb8b251fc19a9defefddbd89d02eea0861be1ebcb0db17fbd9d44ba0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-07-12T08:56:47Z","title_canon_sha256":"de8aaf4943f508beb11cd39eea91aef5fbf3b28a5c211b8a3386725169ee2b0c"},"schema_version":"1.0","source":{"id":"1807.04482","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.04482","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"1807.04482v2","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04482","created_at":"2026-05-18T00:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"TN42MOZWTXHV","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TN42MOZWTXHVCOCQ","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TN42MOZW","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:561d22c97e2cd01dcee86ba1e872fab956c6675e7a1eef9ed0deda6b542a2ffc","target":"graph","created_at":"2026-05-18T00:01:29Z","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 analytically and numerically investigate the propagation of ultrashort tightly focused laser pulses in vacuum, with particular emphasis on Hermite-Gaussian and Laguerre-Gaussian modes. We revisit the Lax series approach for forward-propagating linearly-polarized laser pulses, in order to obtain Maxwell-consistent and symmetry-preserving analytical solutions for the propagation of all field components beyond the paraxial approximation in four-dimensional geometry (space and time). We demonstrate that our solution conserves the energy, which is set by the paraxial-level term of the series. Th","authors_text":"B. Chimier, G. Duchateau, I. Thiele, P. Gonz\\'alez de Alaiza Mart\\'inez, R. Nuter, S. Skupin, V. T. Tikhonchuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-07-12T08:56:47Z","title":"Maxwell-consistent, symmetry- and energy-preserving solutions for ultrashort laser pulse propagation beyond the paraxial approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04482","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":"sha256:6c0761afdefafddfb227e5d403a46cebe13a657ff454d5d5c457d69e092a0cef","target":"record","created_at":"2026-05-18T00:01:29Z","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":"b9dc712bdb8b251fc19a9defefddbd89d02eea0861be1ebcb0db17fbd9d44ba0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-07-12T08:56:47Z","title_canon_sha256":"de8aaf4943f508beb11cd39eea91aef5fbf3b28a5c211b8a3386725169ee2b0c"},"schema_version":"1.0","source":{"id":"1807.04482","kind":"arxiv","version":2}},"canonical_sha256":"9b79a63b369dcf5138509471b9ec768dff3c6c9042ebef6ee2a7266ca0430632","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b79a63b369dcf5138509471b9ec768dff3c6c9042ebef6ee2a7266ca0430632","first_computed_at":"2026-05-18T00:01:29.065479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:29.065479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rj9NJPm8b6NyD9EOKwqUqu9iwwd19dNCuoOXzvKzGfWoHAbELMSJ878Mz9mqqTjz/fkdxNO7rRQq7C3cnGwgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:29.065964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.04482","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c0761afdefafddfb227e5d403a46cebe13a657ff454d5d5c457d69e092a0cef","sha256:561d22c97e2cd01dcee86ba1e872fab956c6675e7a1eef9ed0deda6b542a2ffc"],"state_sha256":"6294a80da874c24341a770360bc95e59399a27c553f23890f83e3f485b0ca7b3"}