{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:437ZCNZ4Q6NFGCSYBJOTZ265MJ","short_pith_number":"pith:437ZCNZ4","schema_version":"1.0","canonical_sha256":"e6ff91373c879a530a580a5d3cebdd626fcaf323f9831dc5620aa3294db7a20c","source":{"kind":"arxiv","id":"1409.4179","version":1},"attestation_state":"computed","paper":{"title":"Generalised Ricci Solitons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.AP"],"primary_cat":"math.DG","authors_text":"Matthew Randall, Pawel Nurowski","submitted_at":"2014-09-15T08:29:13Z","abstract_excerpt":"We introduce a class of overdetermined systems of partial differential equations of finite type on (pseudo)-Riemannian manifolds that we call the generalised Ricci soliton equations. These equations depend on three real parameters. For special values of the parameters they specialise to various important classes of equations in differential geometry. Among them there are: the Ricci soliton equations, the vacuum near-horizon geometry equations in general relativity, special cases of Einstein-Weyl equations and their projective counterparts, equations for homotheties and Killing's equation.\n  We"},"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":"1409.4179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-09-15T08:29:13Z","cross_cats_sorted":["gr-qc","math.AP"],"title_canon_sha256":"41516da5c9ad9f10c90eb3159d90fdda47b1ec84398c3b022cd2d67a920e5fa0","abstract_canon_sha256":"5700bf51737d60109664af83c20ff03739b5218e368cc8605ae4e804c7380583"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:52.839980Z","signature_b64":"D1CTqRjrV8BSH9isIYMRZSBfN+bm9pPxVx6atVumnQ2oWkw9aCX4FRYZwO6Zw8wApdFrTeUmwMfhFmg00xr8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6ff91373c879a530a580a5d3cebdd626fcaf323f9831dc5620aa3294db7a20c","last_reissued_at":"2026-05-18T02:42:52.839583Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:52.839583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalised Ricci Solitons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.AP"],"primary_cat":"math.DG","authors_text":"Matthew Randall, Pawel Nurowski","submitted_at":"2014-09-15T08:29:13Z","abstract_excerpt":"We introduce a class of overdetermined systems of partial differential equations of finite type on (pseudo)-Riemannian manifolds that we call the generalised Ricci soliton equations. These equations depend on three real parameters. For special values of the parameters they specialise to various important classes of equations in differential geometry. Among them there are: the Ricci soliton equations, the vacuum near-horizon geometry equations in general relativity, special cases of Einstein-Weyl equations and their projective counterparts, equations for homotheties and Killing's equation.\n  We"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4179","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":"1409.4179","created_at":"2026-05-18T02:42:52.839647+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.4179v1","created_at":"2026-05-18T02:42:52.839647+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4179","created_at":"2026-05-18T02:42:52.839647+00:00"},{"alias_kind":"pith_short_12","alias_value":"437ZCNZ4Q6NF","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"437ZCNZ4Q6NFGCSY","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"437ZCNZ4","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/437ZCNZ4Q6NFGCSYBJOTZ265MJ","json":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ.json","graph_json":"https://pith.science/api/pith-number/437ZCNZ4Q6NFGCSYBJOTZ265MJ/graph.json","events_json":"https://pith.science/api/pith-number/437ZCNZ4Q6NFGCSYBJOTZ265MJ/events.json","paper":"https://pith.science/paper/437ZCNZ4"},"agent_actions":{"view_html":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ","download_json":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ.json","view_paper":"https://pith.science/paper/437ZCNZ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.4179&json=true","fetch_graph":"https://pith.science/api/pith-number/437ZCNZ4Q6NFGCSYBJOTZ265MJ/graph.json","fetch_events":"https://pith.science/api/pith-number/437ZCNZ4Q6NFGCSYBJOTZ265MJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ/action/storage_attestation","attest_author":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ/action/author_attestation","sign_citation":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ/action/citation_signature","submit_replication":"https://pith.science/pith/437ZCNZ4Q6NFGCSYBJOTZ265MJ/action/replication_record"}},"created_at":"2026-05-18T02:42:52.839647+00:00","updated_at":"2026-05-18T02:42:52.839647+00:00"}