{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:O233QHCNUEKNIQGFR3YWHQL3GT","short_pith_number":"pith:O233QHCN","canonical_record":{"source":{"id":"1702.01593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-06T12:32:19Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"04873d4b668d87efe3c6e5e1622d871b324c7471c8405edec064a1f72874d15c","abstract_canon_sha256":"72bc89f030d7510b0935304b16f745aead4d2b026c958473795699a2e05061f4"},"schema_version":"1.0"},"canonical_sha256":"76b7b81c4da114d440c58ef163c17b34daaf5f3325e344d2bbaf8b3e17aeabeb","source":{"kind":"arxiv","id":"1702.01593","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01593","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01593v1","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01593","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"pith_short_12","alias_value":"O233QHCNUEKN","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O233QHCNUEKNIQGF","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O233QHCN","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:O233QHCNUEKNIQGFR3YWHQL3GT","target":"record","payload":{"canonical_record":{"source":{"id":"1702.01593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-06T12:32:19Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"04873d4b668d87efe3c6e5e1622d871b324c7471c8405edec064a1f72874d15c","abstract_canon_sha256":"72bc89f030d7510b0935304b16f745aead4d2b026c958473795699a2e05061f4"},"schema_version":"1.0"},"canonical_sha256":"76b7b81c4da114d440c58ef163c17b34daaf5f3325e344d2bbaf8b3e17aeabeb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:06.279855Z","signature_b64":"OBlSFHBRq5DNfdI24c9BFIB/i6R8e6Ip63jsFZFNxIj3bL789cXA5ct+9Eiu5kvuw0fGmuEESuQ87EJ8naoSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76b7b81c4da114d440c58ef163c17b34daaf5f3325e344d2bbaf8b3e17aeabeb","last_reissued_at":"2026-05-18T00:49:06.279453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:06.279453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.01593","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXm4JJmlnFXRz5MgNOgTF8sjk42b8BVyRw0xt6opOwNtCjNS4Odt56cxSDeHJlSxCBNWD+saHT3vo9ZUhCRYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:24:33.829217Z"},"content_sha256":"0398f42861372a56544ec2d7f98ce804bf8b92a9222ac084bb2087abb570019b","schema_version":"1.0","event_id":"sha256:0398f42861372a56544ec2d7f98ce804bf8b92a9222ac084bb2087abb570019b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:O233QHCNUEKNIQGFR3YWHQL3GT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetries and Singularities of the Szekeres System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Andronikos Paliathanasis, P.G.L. Leach","submitted_at":"2017-02-06T12:32:19Z","abstract_excerpt":"The Szekeres system is studied with two methods for the determination of conservation laws. Specifically we apply the theory of group invariant transformations and the method of singularity analysis. We show that the Szekeres system admits a Lagrangian and the conservation laws that we find can be derived by the application of Noether's theorem. The stability for the special solutions of the Szekeres system is studied and it is related with the with the Left or Right Painlev\\'e Series which describes the expansions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01593","kind":"arxiv","version":1},"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":"2026-05-18T00:49:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DkKXybRUw3TcDPJXWpGo9ZPh4G+Dw8PNXd57vKnId0OATBrTk7Kk6Es+oEGCRgsso30wOWKNz0HxUobAYD56CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:24:33.829571Z"},"content_sha256":"4b92ddec3eb3f54947f79ab74febe341dab763086b26f57cac83c002b963eccd","schema_version":"1.0","event_id":"sha256:4b92ddec3eb3f54947f79ab74febe341dab763086b26f57cac83c002b963eccd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O233QHCNUEKNIQGFR3YWHQL3GT/bundle.json","state_url":"https://pith.science/pith/O233QHCNUEKNIQGFR3YWHQL3GT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O233QHCNUEKNIQGFR3YWHQL3GT/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":"2026-06-02T23:24:33Z","links":{"resolver":"https://pith.science/pith/O233QHCNUEKNIQGFR3YWHQL3GT","bundle":"https://pith.science/pith/O233QHCNUEKNIQGFR3YWHQL3GT/bundle.json","state":"https://pith.science/pith/O233QHCNUEKNIQGFR3YWHQL3GT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O233QHCNUEKNIQGFR3YWHQL3GT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O233QHCNUEKNIQGFR3YWHQL3GT","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":"72bc89f030d7510b0935304b16f745aead4d2b026c958473795699a2e05061f4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-06T12:32:19Z","title_canon_sha256":"04873d4b668d87efe3c6e5e1622d871b324c7471c8405edec064a1f72874d15c"},"schema_version":"1.0","source":{"id":"1702.01593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01593","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01593v1","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01593","created_at":"2026-05-18T00:49:06Z"},{"alias_kind":"pith_short_12","alias_value":"O233QHCNUEKN","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O233QHCNUEKNIQGF","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O233QHCN","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:4b92ddec3eb3f54947f79ab74febe341dab763086b26f57cac83c002b963eccd","target":"graph","created_at":"2026-05-18T00:49:06Z","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":"The Szekeres system is studied with two methods for the determination of conservation laws. Specifically we apply the theory of group invariant transformations and the method of singularity analysis. We show that the Szekeres system admits a Lagrangian and the conservation laws that we find can be derived by the application of Noether's theorem. The stability for the special solutions of the Szekeres system is studied and it is related with the with the Left or Right Painlev\\'e Series which describes the expansions.","authors_text":"Andronikos Paliathanasis, P.G.L. Leach","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-06T12:32:19Z","title":"Symmetries and Singularities of the Szekeres System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01593","kind":"arxiv","version":1},"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":"sha256:0398f42861372a56544ec2d7f98ce804bf8b92a9222ac084bb2087abb570019b","target":"record","created_at":"2026-05-18T00:49:06Z","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":"72bc89f030d7510b0935304b16f745aead4d2b026c958473795699a2e05061f4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-06T12:32:19Z","title_canon_sha256":"04873d4b668d87efe3c6e5e1622d871b324c7471c8405edec064a1f72874d15c"},"schema_version":"1.0","source":{"id":"1702.01593","kind":"arxiv","version":1}},"canonical_sha256":"76b7b81c4da114d440c58ef163c17b34daaf5f3325e344d2bbaf8b3e17aeabeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76b7b81c4da114d440c58ef163c17b34daaf5f3325e344d2bbaf8b3e17aeabeb","first_computed_at":"2026-05-18T00:49:06.279453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:06.279453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OBlSFHBRq5DNfdI24c9BFIB/i6R8e6Ip63jsFZFNxIj3bL789cXA5ct+9Eiu5kvuw0fGmuEESuQ87EJ8naoSCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:06.279855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.01593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0398f42861372a56544ec2d7f98ce804bf8b92a9222ac084bb2087abb570019b","sha256:4b92ddec3eb3f54947f79ab74febe341dab763086b26f57cac83c002b963eccd"],"state_sha256":"c59626f0b8da9979e13f1fedcef72726b2706042f76b67fda50d116bee2779f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KxyUNxk2brl0YQ5C/jz12KwW8L31iPmGOLPG9hM4v/MKqVbFR4zwkGPgcyWNkyXaiqsOExDSMH8uZkTMrDMBAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:24:33.831456Z","bundle_sha256":"afc33286862c50388a1a231b62d0aeecb7ddea7bf2e11f3b30d345909a8ce32d"}}