{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3XBGZKIDTLDW77LRQVKEU2M7TC","short_pith_number":"pith:3XBGZKID","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"},"canonical_sha256":"ddc26ca9039ac76ffd7185544a699f98bfe19370387658aa2c0c17592a9f7c83","source":{"kind":"arxiv","id":"1407.2551","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2551","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2551v1","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2551","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"pith_short_12","alias_value":"3XBGZKIDTLDW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3XBGZKIDTLDW77LR","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3XBGZKID","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3XBGZKIDTLDW77LRQVKEU2M7TC","target":"record","payload":{"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"},"canonical_sha256":"ddc26ca9039ac76ffd7185544a699f98bfe19370387658aa2c0c17592a9f7c83","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"},"source_kind":"arxiv","source_id":"1407.2551","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":"2026-05-18T02:48:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hxnqQB0Q6BaoWc7CQfIhk8C8IZps18Givzge0Tt/swjquxO0TcCV//dq/hf1mp9QkTuDpCMi4gN/D4D6otLxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:02:44.286569Z"},"content_sha256":"2c45fad502887ea3fb8a208996775a8b3c0b85660794336d34b948f0d87b09e4","schema_version":"1.0","event_id":"sha256:2c45fad502887ea3fb8a208996775a8b3c0b85660794336d34b948f0d87b09e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3XBGZKIDTLDW77LRQVKEU2M7TC","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kbc58jafU/qL1I7t9pQiOsFpht9W8dE+cszp2A8X6mfSIDpIq+GEg+AVF0CJ6liiN4Oiz3QineRThXHYt3NGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:02:44.286920Z"},"content_sha256":"f972ec2ef672c89fd688f5467eb2a80afb573f1e3fe29681300ea9235cec4f71","schema_version":"1.0","event_id":"sha256:f972ec2ef672c89fd688f5467eb2a80afb573f1e3fe29681300ea9235cec4f71"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/bundle.json","state_url":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/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":"2026-06-23T19:02:44Z","links":{"resolver":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC","bundle":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/bundle.json","state":"https://pith.science/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XBGZKIDTLDW77LRQVKEU2M7TC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3XBGZKIDTLDW77LRQVKEU2M7TC","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":"93d5cccb7d56e51bd9e4bf22aaf78fb2df60c5f0e8fba4a4733f34d080bf77ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-09T16:25:02Z","title_canon_sha256":"983968c0ca7482b54a2cdd3888b7da617f3da7e5be315419c96d76198ead6e74"},"schema_version":"1.0","source":{"id":"1407.2551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2551","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2551v1","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2551","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"pith_short_12","alias_value":"3XBGZKIDTLDW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3XBGZKIDTLDW77LR","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3XBGZKID","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:f972ec2ef672c89fd688f5467eb2a80afb573f1e3fe29681300ea9235cec4f71","target":"graph","created_at":"2026-05-18T02:48:01Z","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":"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.","authors_text":"Alejandro Betancourt de la Parra, Andrew S. Dancer, Mckenzie Y. Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-09T16:25:02Z","title":"A Hamiltonian approach to the cohomogeneity one Ricci soliton equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2551","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":"sha256:2c45fad502887ea3fb8a208996775a8b3c0b85660794336d34b948f0d87b09e4","target":"record","created_at":"2026-05-18T02:48:01Z","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":"93d5cccb7d56e51bd9e4bf22aaf78fb2df60c5f0e8fba4a4733f34d080bf77ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-09T16:25:02Z","title_canon_sha256":"983968c0ca7482b54a2cdd3888b7da617f3da7e5be315419c96d76198ead6e74"},"schema_version":"1.0","source":{"id":"1407.2551","kind":"arxiv","version":1}},"canonical_sha256":"ddc26ca9039ac76ffd7185544a699f98bfe19370387658aa2c0c17592a9f7c83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddc26ca9039ac76ffd7185544a699f98bfe19370387658aa2c0c17592a9f7c83","first_computed_at":"2026-05-18T02:48:01.334882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:01.334882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vjcLdtdmYv6xlEYjdm6QPMd/bPZhG4RWeHXoRobow9gm4BipovCwxYG/7o63Kgrmt/00zG1nz0pweAjlYbZPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:01.335521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c45fad502887ea3fb8a208996775a8b3c0b85660794336d34b948f0d87b09e4","sha256:f972ec2ef672c89fd688f5467eb2a80afb573f1e3fe29681300ea9235cec4f71"],"state_sha256":"1b621ec75c45b3dbd580b9db437109626306633de525f9b1e9bdc229c582b238"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OoTjKygDj2Uo2qAvB/hTDZnqjM/OetIJvuJupXP0o0+13LG//XT5vmfSfKX3ywkWmf4vmcsCdFjCjpqVTj8iCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:02:44.288873Z","bundle_sha256":"63efa79d02ced8f4010c24ca48fc8bc5cf95ffa22f6113ed90cf24c3fb420a8a"}}