{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:S5ZCEM5SSPMFLGGRWL42PDBXBM","short_pith_number":"pith:S5ZCEM5S","canonical_record":{"source":{"id":"1712.09811","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-12-28T10:34:27Z","cross_cats_sorted":[],"title_canon_sha256":"3c96e84e48315c50ba3ed04d8f13118180d6beb77c81b3b5b885ffe69acacb84","abstract_canon_sha256":"933ad59164b7709e6baa197435a5481f19d528235f1a5b7bbd2a2ea6662ee2bc"},"schema_version":"1.0"},"canonical_sha256":"97722233b293d85598d1b2f9a78c370b0c813ad4f8c4f318dbcce9be8dce52ab","source":{"kind":"arxiv","id":"1712.09811","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09811","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09811v2","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09811","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"pith_short_12","alias_value":"S5ZCEM5SSPMF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"S5ZCEM5SSPMFLGGR","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"S5ZCEM5S","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:S5ZCEM5SSPMFLGGRWL42PDBXBM","target":"record","payload":{"canonical_record":{"source":{"id":"1712.09811","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-12-28T10:34:27Z","cross_cats_sorted":[],"title_canon_sha256":"3c96e84e48315c50ba3ed04d8f13118180d6beb77c81b3b5b885ffe69acacb84","abstract_canon_sha256":"933ad59164b7709e6baa197435a5481f19d528235f1a5b7bbd2a2ea6662ee2bc"},"schema_version":"1.0"},"canonical_sha256":"97722233b293d85598d1b2f9a78c370b0c813ad4f8c4f318dbcce9be8dce52ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:37.125353Z","signature_b64":"1v5M6flngNlq+alflZvj+yR/G8yI2wwgQy9YzEiKzFxsvlMthr5mOUIsFK70ELCyioy0BNjH2mHch2In9LopCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97722233b293d85598d1b2f9a78c370b0c813ad4f8c4f318dbcce9be8dce52ab","last_reissued_at":"2026-05-18T00:24:37.124666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:37.124666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.09811","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":"2026-05-18T00:24:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1FaAOZbN03ew9HSug08q2OOvTcHUpwUjPlx9a8y3iv5tJnX8avEuj9NHFyYFOG1JiuHB4ATO+oVmrHSqL8XxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:51:20.164541Z"},"content_sha256":"1f4b25a59c1f7b0cb7fedc42624b3c01c20809d3cd43c8f1c011153b57e7a667","schema_version":"1.0","event_id":"sha256:1f4b25a59c1f7b0cb7fedc42624b3c01c20809d3cd43c8f1c011153b57e7a667"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:S5ZCEM5SSPMFLGGRWL42PDBXBM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lie point symmetries and ODEs passing the Painlev\\'e test","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"David Sekera, Decio Levi, Pavel Winternitz","submitted_at":"2017-12-28T10:34:27Z","abstract_excerpt":"The Lie point symmetries of ordinary differential equations (ODEs) that are candidates for having the Painlev\\'e property are explored for ODEs of order $n =2, \\dots ,5$. Among the 6 ODEs identifying the Painlev\\'e transcendents only $P_{III}$, $P_V$ and $P_{VI}$ have nontrivial symmetry algebras and that only for very special values of the parameters. In those cases the transcendents can be expressed in terms of simpler functions, i.e. elementary functions, solutions of linear equations, elliptic functions or Painlev\\'e transcendents occurring at lower order. For higher order or higher degree"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09811","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":"2026-05-18T00:24:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OMWvUcF4V0eTVmOqgEJIJLJXL4vKLP+6oHDcU7ul6P5O3AtNo9ZBdaoRZp5Oeu85a/zze5k+dsPvripr3r8tDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:51:20.165225Z"},"content_sha256":"e1df752529db7cf1d1c18779d693bf7e97c66593983d1fd252b445c8b095ca56","schema_version":"1.0","event_id":"sha256:e1df752529db7cf1d1c18779d693bf7e97c66593983d1fd252b445c8b095ca56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S5ZCEM5SSPMFLGGRWL42PDBXBM/bundle.json","state_url":"https://pith.science/pith/S5ZCEM5SSPMFLGGRWL42PDBXBM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S5ZCEM5SSPMFLGGRWL42PDBXBM/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":"2026-05-29T16:51:20Z","links":{"resolver":"https://pith.science/pith/S5ZCEM5SSPMFLGGRWL42PDBXBM","bundle":"https://pith.science/pith/S5ZCEM5SSPMFLGGRWL42PDBXBM/bundle.json","state":"https://pith.science/pith/S5ZCEM5SSPMFLGGRWL42PDBXBM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S5ZCEM5SSPMFLGGRWL42PDBXBM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:S5ZCEM5SSPMFLGGRWL42PDBXBM","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":"933ad59164b7709e6baa197435a5481f19d528235f1a5b7bbd2a2ea6662ee2bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-12-28T10:34:27Z","title_canon_sha256":"3c96e84e48315c50ba3ed04d8f13118180d6beb77c81b3b5b885ffe69acacb84"},"schema_version":"1.0","source":{"id":"1712.09811","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09811","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09811v2","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09811","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"pith_short_12","alias_value":"S5ZCEM5SSPMF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"S5ZCEM5SSPMFLGGR","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"S5ZCEM5S","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:e1df752529db7cf1d1c18779d693bf7e97c66593983d1fd252b445c8b095ca56","target":"graph","created_at":"2026-05-18T00:24:37Z","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 Lie point symmetries of ordinary differential equations (ODEs) that are candidates for having the Painlev\\'e property are explored for ODEs of order $n =2, \\dots ,5$. Among the 6 ODEs identifying the Painlev\\'e transcendents only $P_{III}$, $P_V$ and $P_{VI}$ have nontrivial symmetry algebras and that only for very special values of the parameters. In those cases the transcendents can be expressed in terms of simpler functions, i.e. elementary functions, solutions of linear equations, elliptic functions or Painlev\\'e transcendents occurring at lower order. For higher order or higher degree","authors_text":"David Sekera, Decio Levi, Pavel Winternitz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-12-28T10:34:27Z","title":"Lie point symmetries and ODEs passing the Painlev\\'e test"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09811","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":"sha256:1f4b25a59c1f7b0cb7fedc42624b3c01c20809d3cd43c8f1c011153b57e7a667","target":"record","created_at":"2026-05-18T00:24:37Z","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":"933ad59164b7709e6baa197435a5481f19d528235f1a5b7bbd2a2ea6662ee2bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-12-28T10:34:27Z","title_canon_sha256":"3c96e84e48315c50ba3ed04d8f13118180d6beb77c81b3b5b885ffe69acacb84"},"schema_version":"1.0","source":{"id":"1712.09811","kind":"arxiv","version":2}},"canonical_sha256":"97722233b293d85598d1b2f9a78c370b0c813ad4f8c4f318dbcce9be8dce52ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97722233b293d85598d1b2f9a78c370b0c813ad4f8c4f318dbcce9be8dce52ab","first_computed_at":"2026-05-18T00:24:37.124666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:37.124666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1v5M6flngNlq+alflZvj+yR/G8yI2wwgQy9YzEiKzFxsvlMthr5mOUIsFK70ELCyioy0BNjH2mHch2In9LopCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:37.125353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09811","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f4b25a59c1f7b0cb7fedc42624b3c01c20809d3cd43c8f1c011153b57e7a667","sha256:e1df752529db7cf1d1c18779d693bf7e97c66593983d1fd252b445c8b095ca56"],"state_sha256":"486ee6d51877b25101a51257c1a4bda0212d6a9adbbefba1ed89b83eb02f3053"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WtRRn+q0EV5F6/hvyfVQEBO5UGOGpA82kThP5ZqKgBWmfNE/fwCETcvLhldM9O3iZzuDUiXxsH127tQZfsZeDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:51:20.168402Z","bundle_sha256":"c62adf49d68d9b0579f010a7852dfa6a29d433a58e2f47c54c0f24bf7d548052"}}