{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:H3XEPFPY34FPWLX6BMHHCQU5HU","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":"d575ef6704aa320b47a5f2f4b4e113306dadf72309ec25c05d182508e27553d0","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-31T18:52:16Z","title_canon_sha256":"daac509df19588a1cce9286eb18e38eb172f58587e7b6435b236cce6033aff0f"},"schema_version":"1.0","source":{"id":"2506.00672","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00672","created_at":"2026-07-05T11:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00672v1","created_at":"2026-07-05T11:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00672","created_at":"2026-07-05T11:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"H3XEPFPY34FP","created_at":"2026-07-05T11:13:38Z"},{"alias_kind":"pith_short_16","alias_value":"H3XEPFPY34FPWLX6","created_at":"2026-07-05T11:13:38Z"},{"alias_kind":"pith_short_8","alias_value":"H3XEPFPY","created_at":"2026-07-05T11:13:38Z"}],"graph_snapshots":[{"event_id":"sha256:315018c38cd2776a7fd9e72f5483d04fe944d5e3a7b3b3d8400a7174e43d0511","target":"graph","created_at":"2026-07-05T11:13:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.00672/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper uses Lie symmetry analysis to investigate the biharmonic heat equation on a generalized surface of revolution. We classify the Lie point symmetries associated with this equation, allowing for the identification of surfaces and the corresponding infinitesimal generators. In a significant move, we demonstrate that the biharmonic heat equation on a surface of revolution admits the same Lie symmetries as the harmonic heat equation on the same surface, highlighting a profound structural relationship between the two equations. Utilizing these symmetry groups, we derive similarity reductio","authors_text":"Aminu Ma'aruf Nass, Kassimu Mpungu, Rahmatullah Ibrahim Nuruddeen","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-31T18:52:16Z","title":"Lie point symmetries of the biharmonic heat equation on surfaces of revolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00672","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":"sha256:0a7d742538ae8e6cd41f2dfbc63a62d1b2476d7456a882c8d6950c635fa316a7","target":"record","created_at":"2026-07-05T11:13:38Z","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":"d575ef6704aa320b47a5f2f4b4e113306dadf72309ec25c05d182508e27553d0","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-31T18:52:16Z","title_canon_sha256":"daac509df19588a1cce9286eb18e38eb172f58587e7b6435b236cce6033aff0f"},"schema_version":"1.0","source":{"id":"2506.00672","kind":"arxiv","version":1}},"canonical_sha256":"3eee4795f8df0afb2efe0b0e71429d3d320f9e16875710a47b81f8065d480274","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3eee4795f8df0afb2efe0b0e71429d3d320f9e16875710a47b81f8065d480274","first_computed_at":"2026-07-05T11:13:38.592599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:38.592599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xxr80qeZADK8iVQGcgST2tbkIBrCBzSvX4QYnLnKGRVm2wuA+PTdx7hOsPx5HrI1HghS6v8URCITSINpqrqpDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:38.593096Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.00672","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a7d742538ae8e6cd41f2dfbc63a62d1b2476d7456a882c8d6950c635fa316a7","sha256:315018c38cd2776a7fd9e72f5483d04fe944d5e3a7b3b3d8400a7174e43d0511"],"state_sha256":"25edfda4b47b07206aebcc341d33df0a92c07ac8bf98d5707d190517f91f3cf9"}