{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:I5MZZICW7OLCFRQEACYPSUC2FK","short_pith_number":"pith:I5MZZICW","canonical_record":{"source":{"id":"1708.08129","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-27T19:54:46Z","cross_cats_sorted":[],"title_canon_sha256":"9fe3f4b2d74d964a5ce9a7ab642dd3bb4c72e608750e16a1dc193280526319d3","abstract_canon_sha256":"7f74cf5fe0f2a5495ba27597f17d5c257bc72f9609d883f0e118bb5af54266b5"},"schema_version":"1.0"},"canonical_sha256":"47599ca056fb9622c60400b0f9505a2a942ad265e470cc88c9502e72597cc6ad","source":{"kind":"arxiv","id":"1708.08129","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08129","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08129v2","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08129","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"I5MZZICW7OLC","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I5MZZICW7OLCFRQE","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I5MZZICW","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:I5MZZICW7OLCFRQEACYPSUC2FK","target":"record","payload":{"canonical_record":{"source":{"id":"1708.08129","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-27T19:54:46Z","cross_cats_sorted":[],"title_canon_sha256":"9fe3f4b2d74d964a5ce9a7ab642dd3bb4c72e608750e16a1dc193280526319d3","abstract_canon_sha256":"7f74cf5fe0f2a5495ba27597f17d5c257bc72f9609d883f0e118bb5af54266b5"},"schema_version":"1.0"},"canonical_sha256":"47599ca056fb9622c60400b0f9505a2a942ad265e470cc88c9502e72597cc6ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:36.122713Z","signature_b64":"MUp/o4P87X8ysIvVAD3UEhaf9KKw+gf/qa2UxHb/hPZQ+4S9GrNPtJhx3dxo4bZ3gwJuF9GXRCA0dCkTcHPlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47599ca056fb9622c60400b0f9505a2a942ad265e470cc88c9502e72597cc6ad","last_reissued_at":"2026-05-18T00:18:36.122197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:36.122197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.08129","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":"2026-05-18T00:18:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FfmNZFa8uk3TSlzTfKgaauRCqsPwBKu/HVkKpnPYRAxTczuxaRtRdHn9GNI9h47gVQ0yfuOWwoVxXKoWalx1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:19:43.669182Z"},"content_sha256":"a6c0abfca3122ea2043132082b494505b703252c65b8ea05b7d897ed92855f7c","schema_version":"1.0","event_id":"sha256:a6c0abfca3122ea2043132082b494505b703252c65b8ea05b7d897ed92855f7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:I5MZZICW7OLCFRQEACYPSUC2FK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The combinatorics of Lehn's conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alina Marian, Dragos Oprea, Rahul Pandharipande","submitted_at":"2017-08-27T19:54:46Z","abstract_excerpt":"Let S be a smooth projective surface equipped with a line bundle H. Lehn's conjecture is a formula for the top Segre class of the tautological bundle associated to H on the Hilbert scheme of points of S. Voisin has recently reduced Lehn's conjecture to the vanishing of certain coefficients of special power series. The first result of this short note is a proof of the vanishings required by Voisin by residue calculations (A. Szenes and M. Vergne have independently found the same proof). Our second result is an elementary solution of the parallel question for the top Segre class on the symmetric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08129","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":""},"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":"2026-05-18T00:18:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"APrlU3keqT3GHpIxtkbBKrGp/hVuu4C/2JmtCb3NIPzUpAvHDwhroSkQjcM5hKFGK2ozPMnogIkOI0D4gM1yCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:19:43.669870Z"},"content_sha256":"c33752f832bc4adc74984e3735be3a21b023b298060b06d1713e17bf3693ec60","schema_version":"1.0","event_id":"sha256:c33752f832bc4adc74984e3735be3a21b023b298060b06d1713e17bf3693ec60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I5MZZICW7OLCFRQEACYPSUC2FK/bundle.json","state_url":"https://pith.science/pith/I5MZZICW7OLCFRQEACYPSUC2FK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I5MZZICW7OLCFRQEACYPSUC2FK/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":"2026-05-25T17:19:43Z","links":{"resolver":"https://pith.science/pith/I5MZZICW7OLCFRQEACYPSUC2FK","bundle":"https://pith.science/pith/I5MZZICW7OLCFRQEACYPSUC2FK/bundle.json","state":"https://pith.science/pith/I5MZZICW7OLCFRQEACYPSUC2FK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I5MZZICW7OLCFRQEACYPSUC2FK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:I5MZZICW7OLCFRQEACYPSUC2FK","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":"7f74cf5fe0f2a5495ba27597f17d5c257bc72f9609d883f0e118bb5af54266b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-27T19:54:46Z","title_canon_sha256":"9fe3f4b2d74d964a5ce9a7ab642dd3bb4c72e608750e16a1dc193280526319d3"},"schema_version":"1.0","source":{"id":"1708.08129","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08129","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08129v2","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08129","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"I5MZZICW7OLC","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I5MZZICW7OLCFRQE","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I5MZZICW","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:c33752f832bc4adc74984e3735be3a21b023b298060b06d1713e17bf3693ec60","target":"graph","created_at":"2026-05-18T00:18:36Z","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":"Let S be a smooth projective surface equipped with a line bundle H. Lehn's conjecture is a formula for the top Segre class of the tautological bundle associated to H on the Hilbert scheme of points of S. Voisin has recently reduced Lehn's conjecture to the vanishing of certain coefficients of special power series. The first result of this short note is a proof of the vanishings required by Voisin by residue calculations (A. Szenes and M. Vergne have independently found the same proof). Our second result is an elementary solution of the parallel question for the top Segre class on the symmetric","authors_text":"Alina Marian, Dragos Oprea, Rahul Pandharipande","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-27T19:54:46Z","title":"The combinatorics of Lehn's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08129","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:a6c0abfca3122ea2043132082b494505b703252c65b8ea05b7d897ed92855f7c","target":"record","created_at":"2026-05-18T00:18:36Z","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":"7f74cf5fe0f2a5495ba27597f17d5c257bc72f9609d883f0e118bb5af54266b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-27T19:54:46Z","title_canon_sha256":"9fe3f4b2d74d964a5ce9a7ab642dd3bb4c72e608750e16a1dc193280526319d3"},"schema_version":"1.0","source":{"id":"1708.08129","kind":"arxiv","version":2}},"canonical_sha256":"47599ca056fb9622c60400b0f9505a2a942ad265e470cc88c9502e72597cc6ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47599ca056fb9622c60400b0f9505a2a942ad265e470cc88c9502e72597cc6ad","first_computed_at":"2026-05-18T00:18:36.122197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:36.122197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MUp/o4P87X8ysIvVAD3UEhaf9KKw+gf/qa2UxHb/hPZQ+4S9GrNPtJhx3dxo4bZ3gwJuF9GXRCA0dCkTcHPlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:36.122713Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08129","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6c0abfca3122ea2043132082b494505b703252c65b8ea05b7d897ed92855f7c","sha256:c33752f832bc4adc74984e3735be3a21b023b298060b06d1713e17bf3693ec60"],"state_sha256":"48aff0aab681d7e61b5246d757026bc5abfd83a619cd56700e454f43d4ca683e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"naAwnkyEh/WplC4P8K338/3pJdXCHz/aDNxdzGjGUmgZFaQhKa6JLUKfUvur82oBIkN9ODnJO8Bbj65lzb5TAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:19:43.673807Z","bundle_sha256":"dc86c0a75c52e4caed6f8b419dde5d3300c03f7bd14ad2a66c3d38e7274e36f7"}}