{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IYD24OSRU6IYWEJP2THFTEJNNM","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":"ddbe3209122167051009a43d933120192ce451231d01a634a7f1797303c55fa3","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-21T19:55:13Z","title_canon_sha256":"46ad9cf9620f644782a258d63658eb8a01167dede788bfc53e81f5cd470e5a12"},"schema_version":"1.0","source":{"id":"2601.15430","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.15430","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"arxiv_version","alias_value":"2601.15430v2","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.15430","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"pith_short_12","alias_value":"IYD24OSRU6IY","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"pith_short_16","alias_value":"IYD24OSRU6IYWEJP","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"pith_short_8","alias_value":"IYD24OSR","created_at":"2026-06-19T16:11:19Z"}],"graph_snapshots":[{"event_id":"sha256:f62c666a5dcf14b18998ab00173fb27f80aa452077ac4a9dadc912fe16301dab","target":"graph","created_at":"2026-06-19T16:11:19Z","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/2601.15430/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the Hirzebruch quadratic form of a complex hyperplane arrangement is non-positive on the set of stable weights, and we identify the zero locus within this set with flat logarithmic connections of a distinguished type. The proof uses Kempf--Ness and the frame-potential inequality.","authors_text":"Dmitri Panov, Martin de Borbon","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-21T19:55:13Z","title":"The Hirzebruch quadratic form of a hyperplane arrangement and flat logarithmic connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.15430","kind":"arxiv","version":2},"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":"sha256:95c2a9765b78921b2d1e3c12deec626d392c2105e96aa06bade96a62c6ded1d2","target":"record","created_at":"2026-06-19T16:11:19Z","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":"ddbe3209122167051009a43d933120192ce451231d01a634a7f1797303c55fa3","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-21T19:55:13Z","title_canon_sha256":"46ad9cf9620f644782a258d63658eb8a01167dede788bfc53e81f5cd470e5a12"},"schema_version":"1.0","source":{"id":"2601.15430","kind":"arxiv","version":2}},"canonical_sha256":"4607ae3a51a7918b112fd4ce59912d6b125099a1a6307512162eb93d5772334c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4607ae3a51a7918b112fd4ce59912d6b125099a1a6307512162eb93d5772334c","first_computed_at":"2026-06-19T16:11:19.595429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:19.595429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GBu+OnbU2UHuXsZw4pew9ZVNPeWxxVD5/LCk3SUIVbnXmqs2uxkgslmBgsPobNU05cBpa43rsq2eXRGy6dE5Cg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:19.595811Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.15430","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95c2a9765b78921b2d1e3c12deec626d392c2105e96aa06bade96a62c6ded1d2","sha256:f62c666a5dcf14b18998ab00173fb27f80aa452077ac4a9dadc912fe16301dab"],"state_sha256":"7ff0408a539ace6731cebf88452de5f892b4d3e553442e24ba606345cfdb511d"}