{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LZEHHZBUB6C2CQW43AMPVRMDYX","short_pith_number":"pith:LZEHHZBU","canonical_record":{"source":{"id":"1303.0587","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-04T00:49:05Z","cross_cats_sorted":[],"title_canon_sha256":"23a9fbcefc94bd1522d2618a20c4ad54292184188de8557b33d8cbd0c21973ad","abstract_canon_sha256":"6163e47e785aa1c3ad3bf5cd0d601cfa255ff643c5fb6c4828e1e7367c005e3c"},"schema_version":"1.0"},"canonical_sha256":"5e4873e4340f85a142dcd818fac583c5e448614c6770a4589e07ff4d9fe6be57","source":{"kind":"arxiv","id":"1303.0587","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0587","created_at":"2026-05-18T01:23:10Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0587v3","created_at":"2026-05-18T01:23:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0587","created_at":"2026-05-18T01:23:10Z"},{"alias_kind":"pith_short_12","alias_value":"LZEHHZBUB6C2","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LZEHHZBUB6C2CQW4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LZEHHZBU","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LZEHHZBUB6C2CQW43AMPVRMDYX","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0587","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-04T00:49:05Z","cross_cats_sorted":[],"title_canon_sha256":"23a9fbcefc94bd1522d2618a20c4ad54292184188de8557b33d8cbd0c21973ad","abstract_canon_sha256":"6163e47e785aa1c3ad3bf5cd0d601cfa255ff643c5fb6c4828e1e7367c005e3c"},"schema_version":"1.0"},"canonical_sha256":"5e4873e4340f85a142dcd818fac583c5e448614c6770a4589e07ff4d9fe6be57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:10.690510Z","signature_b64":"NAg4JjTiw7D8ne25oVhVRt3Uva1cBX+CNGo5W2kT7Rq/nlBwEoYGZRVY29M/32jlGPOrIe1m5uT7NSVjGBuPDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e4873e4340f85a142dcd818fac583c5e448614c6770a4589e07ff4d9fe6be57","last_reissued_at":"2026-05-18T01:23:10.689939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:10.689939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0587","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G6ZhjTOAXo69TUOGKYgfheKr20MAmvvl2lHN4nD4fDBoB2tkTNVQNy9aEInEVKMeEJp+piNuig5dtZxI7T6DDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:50:37.368606Z"},"content_sha256":"a530b587e4cc89e879a230b4c6af2a164bfd15bc93fe74923a6f6c9ea55d73ef","schema_version":"1.0","event_id":"sha256:a530b587e4cc89e879a230b4c6af2a164bfd15bc93fe74923a6f6c9ea55d73ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LZEHHZBUB6C2CQW43AMPVRMDYX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The homology groups of certain moduli spaces of plane sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mario Maican","submitted_at":"2013-03-04T00:49:05Z","abstract_excerpt":"Using the Bialynicki-Birula method, we determine the additive structure of the integral homology groups of the moduli spaces of semi-stable sheaves on the projective plane having rank and Chern classes (5, 1, 4), (7, 2, 6), respectively, (0, 5, 19). We compute the Hodge numbers of these moduli spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0587","kind":"arxiv","version":3},"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":"2026-05-18T01:23:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bTOhfs8SNrbrSPzwo2pOLi3aomzIvM95imCl8GZPMgOafcLCzFoPE5Z48y6/KHECqrUEq8mYeGGrUoBsHq4TDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:50:37.369344Z"},"content_sha256":"89d76145960124c1ad303745c0f42700015563f8bb3f4a908001b3e4314dba0e","schema_version":"1.0","event_id":"sha256:89d76145960124c1ad303745c0f42700015563f8bb3f4a908001b3e4314dba0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LZEHHZBUB6C2CQW43AMPVRMDYX/bundle.json","state_url":"https://pith.science/pith/LZEHHZBUB6C2CQW43AMPVRMDYX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LZEHHZBUB6C2CQW43AMPVRMDYX/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":"2026-05-31T19:50:37Z","links":{"resolver":"https://pith.science/pith/LZEHHZBUB6C2CQW43AMPVRMDYX","bundle":"https://pith.science/pith/LZEHHZBUB6C2CQW43AMPVRMDYX/bundle.json","state":"https://pith.science/pith/LZEHHZBUB6C2CQW43AMPVRMDYX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LZEHHZBUB6C2CQW43AMPVRMDYX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LZEHHZBUB6C2CQW43AMPVRMDYX","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":"6163e47e785aa1c3ad3bf5cd0d601cfa255ff643c5fb6c4828e1e7367c005e3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-04T00:49:05Z","title_canon_sha256":"23a9fbcefc94bd1522d2618a20c4ad54292184188de8557b33d8cbd0c21973ad"},"schema_version":"1.0","source":{"id":"1303.0587","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0587","created_at":"2026-05-18T01:23:10Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0587v3","created_at":"2026-05-18T01:23:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0587","created_at":"2026-05-18T01:23:10Z"},{"alias_kind":"pith_short_12","alias_value":"LZEHHZBUB6C2","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LZEHHZBUB6C2CQW4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LZEHHZBU","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:89d76145960124c1ad303745c0f42700015563f8bb3f4a908001b3e4314dba0e","target":"graph","created_at":"2026-05-18T01:23:10Z","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":"Using the Bialynicki-Birula method, we determine the additive structure of the integral homology groups of the moduli spaces of semi-stable sheaves on the projective plane having rank and Chern classes (5, 1, 4), (7, 2, 6), respectively, (0, 5, 19). We compute the Hodge numbers of these moduli spaces.","authors_text":"Mario Maican","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-04T00:49:05Z","title":"The homology groups of certain moduli spaces of plane sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0587","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:a530b587e4cc89e879a230b4c6af2a164bfd15bc93fe74923a6f6c9ea55d73ef","target":"record","created_at":"2026-05-18T01:23:10Z","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":"6163e47e785aa1c3ad3bf5cd0d601cfa255ff643c5fb6c4828e1e7367c005e3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-04T00:49:05Z","title_canon_sha256":"23a9fbcefc94bd1522d2618a20c4ad54292184188de8557b33d8cbd0c21973ad"},"schema_version":"1.0","source":{"id":"1303.0587","kind":"arxiv","version":3}},"canonical_sha256":"5e4873e4340f85a142dcd818fac583c5e448614c6770a4589e07ff4d9fe6be57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e4873e4340f85a142dcd818fac583c5e448614c6770a4589e07ff4d9fe6be57","first_computed_at":"2026-05-18T01:23:10.689939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:10.689939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NAg4JjTiw7D8ne25oVhVRt3Uva1cBX+CNGo5W2kT7Rq/nlBwEoYGZRVY29M/32jlGPOrIe1m5uT7NSVjGBuPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:10.690510Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0587","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a530b587e4cc89e879a230b4c6af2a164bfd15bc93fe74923a6f6c9ea55d73ef","sha256:89d76145960124c1ad303745c0f42700015563f8bb3f4a908001b3e4314dba0e"],"state_sha256":"4728c51a519ae8edc343b747cb3e3740ac8247aad4dfad7b3117929702ca0e3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wWUcsbo+xtGROtPuhwVTu9xnaxYx9yoIXpEem6HiyUgEVe6JgBbn5v5NLmqhVCT7TpsJU/scDJQIQpOY0b55Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:50:37.372961Z","bundle_sha256":"d52445d1ee0775bc56237f2d617ee93ff87a27756bf5d616456e920320b6683d"}}