{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EFUHPIGXRYT55IRCFQSP44PR6I","short_pith_number":"pith:EFUHPIGX","canonical_record":{"source":{"id":"1310.3191","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-11T16:40:28Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"0be59f0652420ec657973c0072e9a636df4dc879494dfded4151da9f326091fc","abstract_canon_sha256":"1a3092273c0305665f7325921adaf99837bf850dd42e2b74f70a300167add646"},"schema_version":"1.0"},"canonical_sha256":"216877a0d78e27dea2222c24fe71f1f2331c19ca2839ae432da0fae26fb3709d","source":{"kind":"arxiv","id":"1310.3191","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3191","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3191v2","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3191","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"pith_short_12","alias_value":"EFUHPIGXRYT5","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EFUHPIGXRYT55IRC","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EFUHPIGX","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EFUHPIGXRYT55IRCFQSP44PR6I","target":"record","payload":{"canonical_record":{"source":{"id":"1310.3191","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-11T16:40:28Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"0be59f0652420ec657973c0072e9a636df4dc879494dfded4151da9f326091fc","abstract_canon_sha256":"1a3092273c0305665f7325921adaf99837bf850dd42e2b74f70a300167add646"},"schema_version":"1.0"},"canonical_sha256":"216877a0d78e27dea2222c24fe71f1f2331c19ca2839ae432da0fae26fb3709d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:15.645382Z","signature_b64":"AC/MIvzRRDOtK4llED2wMLilsUg19hi9RxxwPDLxGRmLYYdrdu1Zx3RKkbo4AvCXPLZXY7kNiqe2/bCM7RooCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"216877a0d78e27dea2222c24fe71f1f2331c19ca2839ae432da0fae26fb3709d","last_reissued_at":"2026-05-18T03:08:15.644623Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:15.644623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.3191","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":"2026-05-18T03:08:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ASNQx7et9YiQh1xYOfgVCW2NEw434YkXibUFksUS9b5lCglmY7drJ82xRBa6rJrcn/6SQytuJqlhJVv5rgTADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:27:44.291268Z"},"content_sha256":"0f888548e9764ab57355c4d59839f7aacd7ec09f0f25343719805ec1ed46110b","schema_version":"1.0","event_id":"sha256:0f888548e9764ab57355c4d59839f7aacd7ec09f0f25343719805ec1ed46110b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EFUHPIGXRYT55IRCFQSP44PR6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The multiplicative eigenvalue problem and deformed quantum cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.AG","authors_text":"Prakash Belkale, Shrawan Kumar","submitted_at":"2013-10-11T16:40:28Z","abstract_excerpt":"We construct deformations of the small quantum cohomology rings of homogeneous spaces G/P, and obtain an irredundant set of inequalities determining the multiplicative eigenvalue problem for the compact form K of G."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3191","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":"2026-05-18T03:08:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Qj0MyU2UVO5O4DpPttPf5xPIDvefQwTrrHLnfeiBgmnE1QrefONhGBXi68qGaUfEbvUhEH5xbu/kMYrGL9cCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:27:44.291881Z"},"content_sha256":"03cb46a7849f614d51fc96c5c1a5727eb9cfc9f37602ff84f304d7c72cd833e3","schema_version":"1.0","event_id":"sha256:03cb46a7849f614d51fc96c5c1a5727eb9cfc9f37602ff84f304d7c72cd833e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EFUHPIGXRYT55IRCFQSP44PR6I/bundle.json","state_url":"https://pith.science/pith/EFUHPIGXRYT55IRCFQSP44PR6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EFUHPIGXRYT55IRCFQSP44PR6I/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":"2026-06-06T21:27:44Z","links":{"resolver":"https://pith.science/pith/EFUHPIGXRYT55IRCFQSP44PR6I","bundle":"https://pith.science/pith/EFUHPIGXRYT55IRCFQSP44PR6I/bundle.json","state":"https://pith.science/pith/EFUHPIGXRYT55IRCFQSP44PR6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EFUHPIGXRYT55IRCFQSP44PR6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EFUHPIGXRYT55IRCFQSP44PR6I","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":"1a3092273c0305665f7325921adaf99837bf850dd42e2b74f70a300167add646","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-11T16:40:28Z","title_canon_sha256":"0be59f0652420ec657973c0072e9a636df4dc879494dfded4151da9f326091fc"},"schema_version":"1.0","source":{"id":"1310.3191","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3191","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3191v2","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3191","created_at":"2026-05-18T03:08:15Z"},{"alias_kind":"pith_short_12","alias_value":"EFUHPIGXRYT5","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EFUHPIGXRYT55IRC","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EFUHPIGX","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:03cb46a7849f614d51fc96c5c1a5727eb9cfc9f37602ff84f304d7c72cd833e3","target":"graph","created_at":"2026-05-18T03:08:15Z","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 construct deformations of the small quantum cohomology rings of homogeneous spaces G/P, and obtain an irredundant set of inequalities determining the multiplicative eigenvalue problem for the compact form K of G.","authors_text":"Prakash Belkale, Shrawan Kumar","cross_cats":["math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-11T16:40:28Z","title":"The multiplicative eigenvalue problem and deformed quantum cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3191","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":"sha256:0f888548e9764ab57355c4d59839f7aacd7ec09f0f25343719805ec1ed46110b","target":"record","created_at":"2026-05-18T03:08:15Z","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":"1a3092273c0305665f7325921adaf99837bf850dd42e2b74f70a300167add646","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-11T16:40:28Z","title_canon_sha256":"0be59f0652420ec657973c0072e9a636df4dc879494dfded4151da9f326091fc"},"schema_version":"1.0","source":{"id":"1310.3191","kind":"arxiv","version":2}},"canonical_sha256":"216877a0d78e27dea2222c24fe71f1f2331c19ca2839ae432da0fae26fb3709d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"216877a0d78e27dea2222c24fe71f1f2331c19ca2839ae432da0fae26fb3709d","first_computed_at":"2026-05-18T03:08:15.644623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:15.644623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AC/MIvzRRDOtK4llED2wMLilsUg19hi9RxxwPDLxGRmLYYdrdu1Zx3RKkbo4AvCXPLZXY7kNiqe2/bCM7RooCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:15.645382Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.3191","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f888548e9764ab57355c4d59839f7aacd7ec09f0f25343719805ec1ed46110b","sha256:03cb46a7849f614d51fc96c5c1a5727eb9cfc9f37602ff84f304d7c72cd833e3"],"state_sha256":"2c333b1cde2721a3640061ba10fc6fb036f70a9f191e99733380fd2214476ecb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0wLSGyReEdi4eHHBY4cy/fAbk3xfwvPC7F5as7p3TyO7Jn19dO/X/EOqArrDbEeO1hi3ux2yL9vVS/lCu5oAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T21:27:44.295262Z","bundle_sha256":"6caf9a56c645c0bca6084166571b219fd340d1c82f0f55be003aab2676399170"}}