{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:QTOYYN4QWIXBTDU2KOPJ3OBZLH","short_pith_number":"pith:QTOYYN4Q","canonical_record":{"source":{"id":"0905.0175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-04T12:56:59Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"4081c332e990ff616552aff0fa6c74b07049b2e2a966cf0d91e08586265f0797","abstract_canon_sha256":"30dfd36f5625ecd09d68029d9aa8c829d23678a6bba758c037f8e400d73e0684"},"schema_version":"1.0"},"canonical_sha256":"84dd8c3790b22e198e9a539e9db83959eaab780b835881b60de990fb37a741ee","source":{"kind":"arxiv","id":"0905.0175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.0175","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"0905.0175v1","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.0175","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"QTOYYN4QWIXB","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QTOYYN4QWIXBTDU2","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QTOYYN4Q","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:QTOYYN4QWIXBTDU2KOPJ3OBZLH","target":"record","payload":{"canonical_record":{"source":{"id":"0905.0175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-04T12:56:59Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"4081c332e990ff616552aff0fa6c74b07049b2e2a966cf0d91e08586265f0797","abstract_canon_sha256":"30dfd36f5625ecd09d68029d9aa8c829d23678a6bba758c037f8e400d73e0684"},"schema_version":"1.0"},"canonical_sha256":"84dd8c3790b22e198e9a539e9db83959eaab780b835881b60de990fb37a741ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:46.175000Z","signature_b64":"TSnR0ei3bJNC0dnHOZBkRmLb1sj0mvYnvZ9I5/5Uz98KMnUPna4EulmFXauK6ZHYTB5SzUKDWsEBEGni5RCPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84dd8c3790b22e198e9a539e9db83959eaab780b835881b60de990fb37a741ee","last_reissued_at":"2026-05-18T04:05:46.174619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:46.174619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.0175","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":"2026-05-18T04:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P+VDBJvXXz0v6J0oS3s+wkHW17XcJEFsEnb4QErCqha3+sZ7nsRY+m/2OiHaWpSg4qFAmFJEAkeSgFmYCPLhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:09:41.559918Z"},"content_sha256":"b1e2e61268c2876a231b47ba529982a21e0ea8f6ff2bd0a7d296a193ed24f413","schema_version":"1.0","event_id":"sha256:b1e2e61268c2876a231b47ba529982a21e0ea8f6ff2bd0a7d296a193ed24f413"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:QTOYYN4QWIXBTDU2KOPJ3OBZLH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry Analysis for a New Form of the Vortex Mode Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Ali Mahdipour--Shirayeh, Mehdi Nadjafikhah","submitted_at":"2009-05-04T12:56:59Z","abstract_excerpt":"Giving a new form of the vortex mode equation by a proper change of parameter, our aim is to analyze the point and contact symmetries of the new equation. Fundamental invariants and a form of general solutions of point transformations along with some specific examples are also derived."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.0175","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":"2026-05-18T04:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EQUKh7mp9WCsWtg8afMXN15i3nVxrvqEv5kF5LVfESECY55SfajGJ36ukXmL6Uuz9V9gZAemttNs4fmyF+u8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:09:41.560662Z"},"content_sha256":"6cb1b827e72e2a4bf525385fd4a7a4a6b3033195c67b6a7189aff5fba0c5fd96","schema_version":"1.0","event_id":"sha256:6cb1b827e72e2a4bf525385fd4a7a4a6b3033195c67b6a7189aff5fba0c5fd96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTOYYN4QWIXBTDU2KOPJ3OBZLH/bundle.json","state_url":"https://pith.science/pith/QTOYYN4QWIXBTDU2KOPJ3OBZLH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTOYYN4QWIXBTDU2KOPJ3OBZLH/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":"2026-06-07T21:09:41Z","links":{"resolver":"https://pith.science/pith/QTOYYN4QWIXBTDU2KOPJ3OBZLH","bundle":"https://pith.science/pith/QTOYYN4QWIXBTDU2KOPJ3OBZLH/bundle.json","state":"https://pith.science/pith/QTOYYN4QWIXBTDU2KOPJ3OBZLH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTOYYN4QWIXBTDU2KOPJ3OBZLH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QTOYYN4QWIXBTDU2KOPJ3OBZLH","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":"30dfd36f5625ecd09d68029d9aa8c829d23678a6bba758c037f8e400d73e0684","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-04T12:56:59Z","title_canon_sha256":"4081c332e990ff616552aff0fa6c74b07049b2e2a966cf0d91e08586265f0797"},"schema_version":"1.0","source":{"id":"0905.0175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.0175","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"0905.0175v1","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.0175","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"QTOYYN4QWIXB","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QTOYYN4QWIXBTDU2","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QTOYYN4Q","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:6cb1b827e72e2a4bf525385fd4a7a4a6b3033195c67b6a7189aff5fba0c5fd96","target":"graph","created_at":"2026-05-18T04:05:46Z","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":"Giving a new form of the vortex mode equation by a proper change of parameter, our aim is to analyze the point and contact symmetries of the new equation. Fundamental invariants and a form of general solutions of point transformations along with some specific examples are also derived.","authors_text":"Ali Mahdipour--Shirayeh, Mehdi Nadjafikhah","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-04T12:56:59Z","title":"Symmetry Analysis for a New Form of the Vortex Mode Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.0175","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:b1e2e61268c2876a231b47ba529982a21e0ea8f6ff2bd0a7d296a193ed24f413","target":"record","created_at":"2026-05-18T04:05:46Z","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":"30dfd36f5625ecd09d68029d9aa8c829d23678a6bba758c037f8e400d73e0684","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-04T12:56:59Z","title_canon_sha256":"4081c332e990ff616552aff0fa6c74b07049b2e2a966cf0d91e08586265f0797"},"schema_version":"1.0","source":{"id":"0905.0175","kind":"arxiv","version":1}},"canonical_sha256":"84dd8c3790b22e198e9a539e9db83959eaab780b835881b60de990fb37a741ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84dd8c3790b22e198e9a539e9db83959eaab780b835881b60de990fb37a741ee","first_computed_at":"2026-05-18T04:05:46.174619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:46.174619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TSnR0ei3bJNC0dnHOZBkRmLb1sj0mvYnvZ9I5/5Uz98KMnUPna4EulmFXauK6ZHYTB5SzUKDWsEBEGni5RCPBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:46.175000Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.0175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1e2e61268c2876a231b47ba529982a21e0ea8f6ff2bd0a7d296a193ed24f413","sha256:6cb1b827e72e2a4bf525385fd4a7a4a6b3033195c67b6a7189aff5fba0c5fd96"],"state_sha256":"2560c561e484bc28eac61fe0caf4335f5a43d05881c877bd3459347647c96e2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1bPHnN0ODMIMxWBtdMHTLOyiklzYuIlSAwRrLJcV+OHv5BjqT8x7wl58LqC+/fH82K+Hsfs/kSg1qh6AfC/iAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:09:41.564204Z","bundle_sha256":"4d3bc5e7992302f5b27044aa0c174cb34e814dce0f786518a28abc401e7d5451"}}