{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VWP7VD3HCGHWXL2CJPC7I3PIT6","short_pith_number":"pith:VWP7VD3H","schema_version":"1.0","canonical_sha256":"ad9ffa8f67118f6baf424bc5f46de89f8b29dbbe05c10191911dde0127fafff8","source":{"kind":"arxiv","id":"1111.1649","version":4},"attestation_state":"computed","paper":{"title":"Moduli Spaces and Grassmannian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.MP"],"primary_cat":"math-ph","authors_text":"Albert Schwarz, Jia-Ming Liou","submitted_at":"2011-11-07T17:21:51Z","abstract_excerpt":"We calculate the homomorphism of the cohomology induced by the Krichever map of moduli spaces of curves into infinite-dimensional Grassmannian. This calculation can be used to compute the homology classes of cycles on moduli spaces of curves that are defined in terms of Weierstrass points."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1111.1649","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-07T17:21:51Z","cross_cats_sorted":["math.AG","math.AT","math.MP"],"title_canon_sha256":"b41c7482eef60d8f70f194728c559c00f0c2c6e59baf992a80d873997db58e53","abstract_canon_sha256":"4200d8f1bb493215938ba23f210e06e6caa77c7c0cf5318a5c40a12283af56b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:04.353205Z","signature_b64":"hlivRpdUeOE8OZetuosSD2xR7+41spGk3fLoU0To1LIb1Eq10iQmZPfHQ0Xmb/DB7eLwRTpvpxG4+kEuD7z5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad9ffa8f67118f6baf424bc5f46de89f8b29dbbe05c10191911dde0127fafff8","last_reissued_at":"2026-05-18T03:58:04.352474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:04.352474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moduli Spaces and Grassmannian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.MP"],"primary_cat":"math-ph","authors_text":"Albert Schwarz, Jia-Ming Liou","submitted_at":"2011-11-07T17:21:51Z","abstract_excerpt":"We calculate the homomorphism of the cohomology induced by the Krichever map of moduli spaces of curves into infinite-dimensional Grassmannian. This calculation can be used to compute the homology classes of cycles on moduli spaces of curves that are defined in terms of Weierstrass points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1649","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1111.1649","created_at":"2026-05-18T03:58:04.352602+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.1649v4","created_at":"2026-05-18T03:58:04.352602+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1649","created_at":"2026-05-18T03:58:04.352602+00:00"},{"alias_kind":"pith_short_12","alias_value":"VWP7VD3HCGHW","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VWP7VD3HCGHWXL2C","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VWP7VD3H","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6","json":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6.json","graph_json":"https://pith.science/api/pith-number/VWP7VD3HCGHWXL2CJPC7I3PIT6/graph.json","events_json":"https://pith.science/api/pith-number/VWP7VD3HCGHWXL2CJPC7I3PIT6/events.json","paper":"https://pith.science/paper/VWP7VD3H"},"agent_actions":{"view_html":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6","download_json":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6.json","view_paper":"https://pith.science/paper/VWP7VD3H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.1649&json=true","fetch_graph":"https://pith.science/api/pith-number/VWP7VD3HCGHWXL2CJPC7I3PIT6/graph.json","fetch_events":"https://pith.science/api/pith-number/VWP7VD3HCGHWXL2CJPC7I3PIT6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6/action/storage_attestation","attest_author":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6/action/author_attestation","sign_citation":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6/action/citation_signature","submit_replication":"https://pith.science/pith/VWP7VD3HCGHWXL2CJPC7I3PIT6/action/replication_record"}},"created_at":"2026-05-18T03:58:04.352602+00:00","updated_at":"2026-05-18T03:58:04.352602+00:00"}