{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ORGCLMXDNXRMTVGAAHIXKRRJ4U","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":"7ad69f8d4a434227c347f185a5b6960d94221162cc1df63fbbe9f386c8387154","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-15T13:29:20Z","title_canon_sha256":"56bfcb1dd72e3f74d36ee0f97b46673eb819ec84450025b41f562d8623acd7ba"},"schema_version":"1.0","source":{"id":"1803.05737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05737","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05737v1","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05737","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"ORGCLMXDNXRM","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"ORGCLMXDNXRMTVGA","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"ORGCLMXD","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:b771dad709dd5bdc4df3cf597eceae91c6d29f6fe183c6472cb8bdff7d4cd6d5","target":"graph","created_at":"2026-05-18T00:20:54Z","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":"Utilizing a splitting of geometric flows on surfaces introduced by Buzano and Rupflin, we present a general scheme to prove blow up criteria for such geometric flows. A vital ingredient is a new compactness theorem for families of metrics on surfaces with a uniform bound on their volumes, square integrals of their curvatures and injectivity radii. In particular we prove blow up criteria for the harmonic Ricci flow and for the spinor flow on surfaces.","authors_text":"Lothar Schiemanowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-15T13:29:20Z","title":"Blowup criteria for geometric flows on surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05737","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:d307cc08ddeb5ba1a0a33157bb1c31a1081e11325867b3744419096a112783fb","target":"record","created_at":"2026-05-18T00:20:54Z","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":"7ad69f8d4a434227c347f185a5b6960d94221162cc1df63fbbe9f386c8387154","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-15T13:29:20Z","title_canon_sha256":"56bfcb1dd72e3f74d36ee0f97b46673eb819ec84450025b41f562d8623acd7ba"},"schema_version":"1.0","source":{"id":"1803.05737","kind":"arxiv","version":1}},"canonical_sha256":"744c25b2e36de2c9d4c001d1754629e52f72bdf54ad48c6422fb49b46eadd79c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"744c25b2e36de2c9d4c001d1754629e52f72bdf54ad48c6422fb49b46eadd79c","first_computed_at":"2026-05-18T00:20:54.785357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:54.785357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lcx27Ofdf+Ko4CDl/0wtIpVru9Gn8R+393oLKQ5w6mCUTDH+uL2qL6c33GxzIBqeWVYV2SsWHgfjOcBFP+U0Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:54.785831Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.05737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d307cc08ddeb5ba1a0a33157bb1c31a1081e11325867b3744419096a112783fb","sha256:b771dad709dd5bdc4df3cf597eceae91c6d29f6fe183c6472cb8bdff7d4cd6d5"],"state_sha256":"50e80c84fc823f8377446e1d86c5f1a86e781a30ffff377ed90efd7ec5568012"}