{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7ZITSMYWTPKHGL7QFRVUYARDLS","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":"de993a9796334f29356dcae98a308d9ecfa6c64ccd890c33466a9260b4e6b7bb","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-23T19:33:44Z","title_canon_sha256":"83974e4fc3b30f83ba30ab5b9666cca66041c9387417c7cc43b09d74d3660887"},"schema_version":"1.0","source":{"id":"0903.3936","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.3936","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"0903.3936v3","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.3936","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"7ZITSMYWTPKH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"7ZITSMYWTPKHGL7Q","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"7ZITSMYW","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:5118f50db3954925338e5274c28f0541198695e8943f5fa439d02ba70e9d2c51","target":"graph","created_at":"2026-05-18T02:50:24Z","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 establish a Schubert calculus for Bott-Samelson resolutions in the algebraic cobordism ring of a complete flag variety G/B.","authors_text":"Jens Hornbostel, Valentina Kiritchenko","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-23T19:33:44Z","title":"Schubert calculus for algebraic cobordism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.3936","kind":"arxiv","version":3},"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:d99dca0c9a4cc9470265411a81279084e9377ff30bfa07ffc7fdfa7b55e4574e","target":"record","created_at":"2026-05-18T02:50:24Z","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":"de993a9796334f29356dcae98a308d9ecfa6c64ccd890c33466a9260b4e6b7bb","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-23T19:33:44Z","title_canon_sha256":"83974e4fc3b30f83ba30ab5b9666cca66041c9387417c7cc43b09d74d3660887"},"schema_version":"1.0","source":{"id":"0903.3936","kind":"arxiv","version":3}},"canonical_sha256":"fe513933169bd4732ff02c6b4c02235c85970f8c20f1ab40001fa3dabbe969a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe513933169bd4732ff02c6b4c02235c85970f8c20f1ab40001fa3dabbe969a5","first_computed_at":"2026-05-18T02:50:24.658066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:24.658066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WudV1SOWKbIV/1xyQecHcoswCWBeTvBgtND4qNUT6svFoN+WsS2FLbiXQPMBpxcwy89f+YulaJtjB9/HRhe4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:24.658668Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.3936","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d99dca0c9a4cc9470265411a81279084e9377ff30bfa07ffc7fdfa7b55e4574e","sha256:5118f50db3954925338e5274c28f0541198695e8943f5fa439d02ba70e9d2c51"],"state_sha256":"2aec5b59b16a3a3d10f622d01e78448ccab8699856ac6751e8bf7a6a33e8388c"}