{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2KXTAGPFYHHBYU5TO7S3HEEESL","short_pith_number":"pith:2KXTAGPF","canonical_record":{"source":{"id":"1208.4666","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T04:53:59Z","cross_cats_sorted":["math.MP","nlin.SI","physics.plasm-ph"],"title_canon_sha256":"eec593076b7bf5833adfa7e5ec28aa1bd1985e9d75cfe414553bf9153cda3a81","abstract_canon_sha256":"1f430bdd333bfba2a96d5e4f6e32419df07a86ff85ea068e3c33082571eb76d2"},"schema_version":"1.0"},"canonical_sha256":"d2af3019e5c1ce1c53b377e5b3908492e96dcae075c45919e0a5e03b5007de4e","source":{"kind":"arxiv","id":"1208.4666","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4666","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4666v1","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4666","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"2KXTAGPFYHHB","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2KXTAGPFYHHBYU5T","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2KXTAGPF","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2KXTAGPFYHHBYU5TO7S3HEEESL","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4666","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T04:53:59Z","cross_cats_sorted":["math.MP","nlin.SI","physics.plasm-ph"],"title_canon_sha256":"eec593076b7bf5833adfa7e5ec28aa1bd1985e9d75cfe414553bf9153cda3a81","abstract_canon_sha256":"1f430bdd333bfba2a96d5e4f6e32419df07a86ff85ea068e3c33082571eb76d2"},"schema_version":"1.0"},"canonical_sha256":"d2af3019e5c1ce1c53b377e5b3908492e96dcae075c45919e0a5e03b5007de4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:12.912128Z","signature_b64":"UKxvWlsjyJrMdQRH4QzN5qB2aliOYQNzaWGllYFm8sWpCOkSn0hk18CEu5Ua13ph2A1yda806vCgD5ks/6+IAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2af3019e5c1ce1c53b377e5b3908492e96dcae075c45919e0a5e03b5007de4e","last_reissued_at":"2026-05-18T03:48:12.911367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:12.911367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4666","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":"2026-05-18T03:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z4hx1C8qWcOZb8ybKLo5tu/OedoWg8D9adQS77zWFbRCsjh3BYButM0fSm4FQRuh8amIdsWjCdHg9tnABxOVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:58:33.415026Z"},"content_sha256":"f0b178ed547f7e51e3b1c79087f3264cdc8b40bb4d608cd76500e32533ca2c38","schema_version":"1.0","event_id":"sha256:f0b178ed547f7e51e3b1c79087f3264cdc8b40bb4d608cd76500e32533ca2c38"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2KXTAGPFYHHBYU5TO7S3HEEESL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.MP","nlin.SI","physics.plasm-ph"],"primary_cat":"math-ph","authors_text":"Colin Rogers, Hongli An","submitted_at":"2012-08-23T04:53:59Z","abstract_excerpt":"A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when $\\gamma=2$ to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov structure. Exact solutions of the magnetogasdynamic system are thereby obtained which describe a rotating elliptic plasma cylinder. The semi-axes of the elliptical cross-section, remarkably, satisfy a Ermakov-Ray-Reid system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4666","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":"2026-05-18T03:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E05ZDTnBxXkUwxt8IVZR1zwNaPtQeylnwxkiGsqi2h7qRnarnT3scgHlH2YQ4b8vBQnvXiexreMyoGyQj3aICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:58:33.415402Z"},"content_sha256":"5bfbb3100544d509857e4261ee6197d6ad9abb8b4cc1d9e496a0750b56e7f9c0","schema_version":"1.0","event_id":"sha256:5bfbb3100544d509857e4261ee6197d6ad9abb8b4cc1d9e496a0750b56e7f9c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2KXTAGPFYHHBYU5TO7S3HEEESL/bundle.json","state_url":"https://pith.science/pith/2KXTAGPFYHHBYU5TO7S3HEEESL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2KXTAGPFYHHBYU5TO7S3HEEESL/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":"2026-06-29T20:58:33Z","links":{"resolver":"https://pith.science/pith/2KXTAGPFYHHBYU5TO7S3HEEESL","bundle":"https://pith.science/pith/2KXTAGPFYHHBYU5TO7S3HEEESL/bundle.json","state":"https://pith.science/pith/2KXTAGPFYHHBYU5TO7S3HEEESL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2KXTAGPFYHHBYU5TO7S3HEEESL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2KXTAGPFYHHBYU5TO7S3HEEESL","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":"1f430bdd333bfba2a96d5e4f6e32419df07a86ff85ea068e3c33082571eb76d2","cross_cats_sorted":["math.MP","nlin.SI","physics.plasm-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T04:53:59Z","title_canon_sha256":"eec593076b7bf5833adfa7e5ec28aa1bd1985e9d75cfe414553bf9153cda3a81"},"schema_version":"1.0","source":{"id":"1208.4666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4666","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4666v1","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4666","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"2KXTAGPFYHHB","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2KXTAGPFYHHBYU5T","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2KXTAGPF","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:5bfbb3100544d509857e4261ee6197d6ad9abb8b4cc1d9e496a0750b56e7f9c0","target":"graph","created_at":"2026-05-18T03:48:12Z","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":"A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when $\\gamma=2$ to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov structure. Exact solutions of the magnetogasdynamic system are thereby obtained which describe a rotating elliptic plasma cylinder. The semi-axes of the elliptical cross-section, remarkably, satisfy a Ermakov-Ray-Reid system.","authors_text":"Colin Rogers, Hongli An","cross_cats":["math.MP","nlin.SI","physics.plasm-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T04:53:59Z","title":"A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4666","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:f0b178ed547f7e51e3b1c79087f3264cdc8b40bb4d608cd76500e32533ca2c38","target":"record","created_at":"2026-05-18T03:48:12Z","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":"1f430bdd333bfba2a96d5e4f6e32419df07a86ff85ea068e3c33082571eb76d2","cross_cats_sorted":["math.MP","nlin.SI","physics.plasm-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2012-08-23T04:53:59Z","title_canon_sha256":"eec593076b7bf5833adfa7e5ec28aa1bd1985e9d75cfe414553bf9153cda3a81"},"schema_version":"1.0","source":{"id":"1208.4666","kind":"arxiv","version":1}},"canonical_sha256":"d2af3019e5c1ce1c53b377e5b3908492e96dcae075c45919e0a5e03b5007de4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2af3019e5c1ce1c53b377e5b3908492e96dcae075c45919e0a5e03b5007de4e","first_computed_at":"2026-05-18T03:48:12.911367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:12.911367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UKxvWlsjyJrMdQRH4QzN5qB2aliOYQNzaWGllYFm8sWpCOkSn0hk18CEu5Ua13ph2A1yda806vCgD5ks/6+IAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:12.912128Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0b178ed547f7e51e3b1c79087f3264cdc8b40bb4d608cd76500e32533ca2c38","sha256:5bfbb3100544d509857e4261ee6197d6ad9abb8b4cc1d9e496a0750b56e7f9c0"],"state_sha256":"5f6f4ff4bf1124ba4f889c5bc311ac00f1c07db156c99443274d72fb0e0f90e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XAE23F+T9W/fyVCMOG/ZKnLQAp/TbZm4WdCnxhA2Gta8oNdx4cfCxqqgfpgm9F86/l12AYAC4liEjZi822/yCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:58:33.417353Z","bundle_sha256":"ced7051e754decd271f618d2bf16675ad1faa1de899011065b568a28c5b8e8a3"}}