{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N7HTT4VKVR7D45TEK5VDQ4YBWO","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":"c3bd4ad1109b6a4f42a2ac8b8205ff5973fe5f3a2d03dfe50b92f3250e9793c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-09T05:00:40Z","title_canon_sha256":"83348dc21b80a7a6eba8b9a38961d44b7daae6d5314f6da5ce38e50d2e1b84b9"},"schema_version":"1.0","source":{"id":"1412.2856","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2856","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2856v1","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2856","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"N7HTT4VKVR7D","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N7HTT4VKVR7D45TE","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N7HTT4VK","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:f084befae282dcbeabdae25fe896f141f9b60459a7ad24e531df1e5b720bbb51","target":"graph","created_at":"2026-05-18T02:31:45Z","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":"This paper is concerned with finite blow-up solutions of a one dimensional complex-valued semilinear heat equation. We provide locations and the number of blow-up points from the viewpoint of zeros of the solution.","authors_text":"Junichi Harada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-09T05:00:40Z","title":"Blow-up sets for a complex valued semilinear heat equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2856","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":"sha256:39085053210b97a516a9946b70e8596672855d07249c25b968464ff5f4f5f20f","target":"record","created_at":"2026-05-18T02:31:45Z","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":"c3bd4ad1109b6a4f42a2ac8b8205ff5973fe5f3a2d03dfe50b92f3250e9793c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-09T05:00:40Z","title_canon_sha256":"83348dc21b80a7a6eba8b9a38961d44b7daae6d5314f6da5ce38e50d2e1b84b9"},"schema_version":"1.0","source":{"id":"1412.2856","kind":"arxiv","version":1}},"canonical_sha256":"6fcf39f2aaac7e3e7664576a387301b38e4be9f6df9c298841b3d5dfb5c57518","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fcf39f2aaac7e3e7664576a387301b38e4be9f6df9c298841b3d5dfb5c57518","first_computed_at":"2026-05-18T02:31:45.698344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:45.698344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C6gE78WdZBhQF0vAPGHHYEJkV0LXimlr5gqkTQzJP4A3sbfrhserE2soNyrOwh/Ue1pfkxWRK48zOxgpCFNMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:45.698932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2856","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39085053210b97a516a9946b70e8596672855d07249c25b968464ff5f4f5f20f","sha256:f084befae282dcbeabdae25fe896f141f9b60459a7ad24e531df1e5b720bbb51"],"state_sha256":"997d06b900088dda5e25a1d2984ca1a0996eb983e20a12c78fea55d5d023f13c"}