{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IYD24OSRU6IYWEJP2THFTEJNNM","short_pith_number":"pith:IYD24OSR","canonical_record":{"source":{"id":"2601.15430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-21T19:55:13Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"46ad9cf9620f644782a258d63658eb8a01167dede788bfc53e81f5cd470e5a12","abstract_canon_sha256":"ddbe3209122167051009a43d933120192ce451231d01a634a7f1797303c55fa3"},"schema_version":"1.0"},"canonical_sha256":"4607ae3a51a7918b112fd4ce59912d6b125099a1a6307512162eb93d5772334c","source":{"kind":"arxiv","id":"2601.15430","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IYD24OSRU6IYWEJP2THFTEJNNM","target":"record","payload":{"canonical_record":{"source":{"id":"2601.15430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-21T19:55:13Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"46ad9cf9620f644782a258d63658eb8a01167dede788bfc53e81f5cd470e5a12","abstract_canon_sha256":"ddbe3209122167051009a43d933120192ce451231d01a634a7f1797303c55fa3"},"schema_version":"1.0"},"canonical_sha256":"4607ae3a51a7918b112fd4ce59912d6b125099a1a6307512162eb93d5772334c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:11:19.595811Z","signature_b64":"GBu+OnbU2UHuXsZw4pew9ZVNPeWxxVD5/LCk3SUIVbnXmqs2uxkgslmBgsPobNU05cBpa43rsq2eXRGy6dE5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4607ae3a51a7918b112fd4ce59912d6b125099a1a6307512162eb93d5772334c","last_reissued_at":"2026-06-19T16:11:19.595429Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:11:19.595429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.15430","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:11:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jdbj5OBwkHBs71kcpEg88IiL0fNZcZjRz8y8wKYZl1i2jRpHtX9JFx9ca4x2auvRkBUjrVErfx90LAzAg9fJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:19:33.447055Z"},"content_sha256":"95c2a9765b78921b2d1e3c12deec626d392c2105e96aa06bade96a62c6ded1d2","schema_version":"1.0","event_id":"sha256:95c2a9765b78921b2d1e3c12deec626d392c2105e96aa06bade96a62c6ded1d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IYD24OSRU6IYWEJP2THFTEJNNM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hirzebruch quadratic form of a hyperplane arrangement and flat logarithmic connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.DG","authors_text":"Dmitri Panov, Martin de Borbon","submitted_at":"2026-01-21T19:55:13Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.15430","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.15430/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:11:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owKZu9+EDC2nzPUZX5pPjeaSzUd2amMabbK/1UpW2rUdJaCqIN/dswuPZ/H1y/uxKjLLLAvP/0XAkxyS4uv2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:19:33.447641Z"},"content_sha256":"f62c666a5dcf14b18998ab00173fb27f80aa452077ac4a9dadc912fe16301dab","schema_version":"1.0","event_id":"sha256:f62c666a5dcf14b18998ab00173fb27f80aa452077ac4a9dadc912fe16301dab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IYD24OSRU6IYWEJP2THFTEJNNM/bundle.json","state_url":"https://pith.science/pith/IYD24OSRU6IYWEJP2THFTEJNNM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IYD24OSRU6IYWEJP2THFTEJNNM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T06:19:33Z","links":{"resolver":"https://pith.science/pith/IYD24OSRU6IYWEJP2THFTEJNNM","bundle":"https://pith.science/pith/IYD24OSRU6IYWEJP2THFTEJNNM/bundle.json","state":"https://pith.science/pith/IYD24OSRU6IYWEJP2THFTEJNNM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IYD24OSRU6IYWEJP2THFTEJNNM/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fas/FJH7swWkXoOC87bTlVBWD/8NbqqeHZCWSzVc8BY7pGonaHRupZDFPlrYXJ78wTEisnxLxyYUaoMTbbUwBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:19:33.450365Z","bundle_sha256":"415f341d83aa846d239d4321a7f85f7b17b9b033e2658317cec2f27cd97e344e"}}