{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RI5MAFO5YPQMRPHYATZWWVADFB","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":"7643ff94a806daa1f26d244c45929e6f4819a237a745a9c7de80b2673f75888d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-11T13:27:16Z","title_canon_sha256":"f4ddd36f715924713428c6f5fe75e188e8eaef6f0ff0013ac3aa6d10632024d8"},"schema_version":"1.0","source":{"id":"1309.2821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2821","created_at":"2026-05-18T03:13:34Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2821v1","created_at":"2026-05-18T03:13:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2821","created_at":"2026-05-18T03:13:34Z"},{"alias_kind":"pith_short_12","alias_value":"RI5MAFO5YPQM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RI5MAFO5YPQMRPHY","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RI5MAFO5","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:884afd8cf1a0fe495f519dbf2a3b74158be74eda8f8eee19da0e6a20f66d7bf2","target":"graph","created_at":"2026-05-18T03:13:34Z","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 study the J-flow from the point of view of an algebro-geometric stability condition. In terms of this we give a lower bound for the natural associated energy functional, and we show that the blowup behavior found by Fang-Lai is reflected by the optimal destabilizer. Finally we prove a general existence result on complex tori.","authors_text":"G\\'abor Sz\\'ekelyhidi, Mehdi Lejmi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-11T13:27:16Z","title":"The J-flow and stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2821","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":"sha256:71aaf17a7ea10b41e7fa9ef40e5c3199a949db9fec4e4f8c1e4a43ecb666c4a3","target":"record","created_at":"2026-05-18T03:13:34Z","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":"7643ff94a806daa1f26d244c45929e6f4819a237a745a9c7de80b2673f75888d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-11T13:27:16Z","title_canon_sha256":"f4ddd36f715924713428c6f5fe75e188e8eaef6f0ff0013ac3aa6d10632024d8"},"schema_version":"1.0","source":{"id":"1309.2821","kind":"arxiv","version":1}},"canonical_sha256":"8a3ac015ddc3e0c8bcf804f36b5403286b9dda3c935e785b882aa7c942383754","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a3ac015ddc3e0c8bcf804f36b5403286b9dda3c935e785b882aa7c942383754","first_computed_at":"2026-05-18T03:13:34.757647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:34.757647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BnbF5AXIc3wIpc7Wqn4Y6MG5+OSwev6bGMOvKtUL+erib9D3eya87qkCJTuMSX+DBvpmbNmG4+t51AKmAnajCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:34.758096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71aaf17a7ea10b41e7fa9ef40e5c3199a949db9fec4e4f8c1e4a43ecb666c4a3","sha256:884afd8cf1a0fe495f519dbf2a3b74158be74eda8f8eee19da0e6a20f66d7bf2"],"state_sha256":"5f45a3fb8b87e8060535ffa1c2c1356be713e4931c56ec9f24af6e30a3b7c790"}