{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3XBGZKIDTLDW77LRQVKEU2M7TC","short_pith_number":"pith:3XBGZKID","schema_version":"1.0","canonical_sha256":"ddc26ca9039ac76ffd7185544a699f98bfe19370387658aa2c0c17592a9f7c83","source":{"kind":"arxiv","id":"1407.2551","version":1},"attestation_state":"computed","paper":{"title":"A Hamiltonian approach to the cohomogeneity one Ricci soliton equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alejandro Betancourt de la Parra, Andrew S. Dancer, Mckenzie Y. Wang","submitted_at":"2014-07-09T16:25:02Z","abstract_excerpt":"We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials, and use this to find some explicit formulae for Ricci solitons not of K\\\"ahler type in five dimensions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.2551","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-09T16:25:02Z","cross_cats_sorted":[],"title_canon_sha256":"983968c0ca7482b54a2cdd3888b7da617f3da7e5be315419c96d76198ead6e74","abstract_canon_sha256":"93d5cccb7d56e51bd9e4bf22aaf78fb2df60c5f0e8fba4a4733f34d080bf77ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:01.335521Z","signature_b64":"vjcLdtdmYv6xlEYjdm6QPMd/bPZhG4RWeHXoRobow9gm4BipovCwxYG/7o63Kgrmt/00zG1nz0pweAjlYbZPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddc26ca9039ac76ffd7185544a699f98bfe19370387658aa2c0c17592a9f7c83","last_reissued_at":"2026-05-18T02:48:01.334882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:01.334882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Hamiltonian approach to the cohomogeneity one Ricci soliton equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alejandro Betancourt de la Parra, Andrew S. Dancer, Mckenzie Y. Wang","submitted_at":"2014-07-09T16:25:02Z","abstract_excerpt":"We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials, and use this to find some explicit formulae for Ricci solitons not of K\\\"ahler type in five dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2551","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.2551","created_at":"2026-05-18T02:48:01.334980+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.2551v1","created_at":"2026-05-18T02:48:01.334980+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2551","created_at":"2026-05-18T02:48:01.334980+00:00"},{"alias_kind":"pith_short_12","alias_value":"3XBGZKIDTLDW","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3XBGZKIDTLDW77LR","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3XBGZKID","created_at":"2026-05-18T12:28:11.866339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC","json":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC.json","graph_json":"https://pith.science/api/pith-number/3XBGZKIDTLDW77LRQVKEU2M7TC/graph.json","events_json":"https://pith.science/api/pith-number/3XBGZKIDTLDW77LRQVKEU2M7TC/events.json","paper":"https://pith.science/paper/3XBGZKID"},"agent_actions":{"view_html":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC","download_json":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC.json","view_paper":"https://pith.science/paper/3XBGZKID","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.2551&json=true","fetch_graph":"https://pith.science/api/pith-number/3XBGZKIDTLDW77LRQVKEU2M7TC/graph.json","fetch_events":"https://pith.science/api/pith-number/3XBGZKIDTLDW77LRQVKEU2M7TC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/action/storage_attestation","attest_author":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/action/author_attestation","sign_citation":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/action/citation_signature","submit_replication":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/action/replication_record"}},"created_at":"2026-05-18T02:48:01.334980+00:00","updated_at":"2026-05-18T02:48:01.334980+00:00"}