{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:Y56RXBC57RW3O4M7ZGNMSRSK2X","short_pith_number":"pith:Y56RXBC5","canonical_record":{"source":{"id":"1612.05946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-18T16:56:17Z","cross_cats_sorted":[],"title_canon_sha256":"ed221f5b81178460b72e060c831e11978e9489be6b331c458d6713b13102b4e2","abstract_canon_sha256":"30bf704ede902600d3f31b1c007d3e4d660d91b6ffb4e7089170f8409ec60072"},"schema_version":"1.0"},"canonical_sha256":"c77d1b845dfc6db7719fc99ac9464ad5d53bea42ca562d2fa86085b7ea7b0b82","source":{"kind":"arxiv","id":"1612.05946","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05946","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05946v1","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05946","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"Y56RXBC57RW3","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Y56RXBC57RW3O4M7","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Y56RXBC5","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:Y56RXBC57RW3O4M7ZGNMSRSK2X","target":"record","payload":{"canonical_record":{"source":{"id":"1612.05946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-18T16:56:17Z","cross_cats_sorted":[],"title_canon_sha256":"ed221f5b81178460b72e060c831e11978e9489be6b331c458d6713b13102b4e2","abstract_canon_sha256":"30bf704ede902600d3f31b1c007d3e4d660d91b6ffb4e7089170f8409ec60072"},"schema_version":"1.0"},"canonical_sha256":"c77d1b845dfc6db7719fc99ac9464ad5d53bea42ca562d2fa86085b7ea7b0b82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:01.550894Z","signature_b64":"XHEq+GwNSM0A3dkmzMEStFhY1N3cfQ7ubYo0sNJQyYd3PhtflWl5WVjcGVZb2UwQJJyoNhBL/3EpmI5fik+PDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c77d1b845dfc6db7719fc99ac9464ad5d53bea42ca562d2fa86085b7ea7b0b82","last_reissued_at":"2026-05-18T00:26:01.550285Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:01.550285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.05946","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmYj+RJod2bTlM57ZXA/9tRHvMz/Oliw3s9C0ShxssAMv4tM+yBsBuCTfa8+jcTNzjLvRoZ5AL9arFEY/KERAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:56:52.431721Z"},"content_sha256":"1db3d3ec33133b070d243990ca8e4d708714b425ad37fb2a73234d86f12f83e7","schema_version":"1.0","event_id":"sha256:1db3d3ec33133b070d243990ca8e4d708714b425ad37fb2a73234d86f12f83e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:Y56RXBC57RW3O4M7ZGNMSRSK2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BGG complexes in singular infinitesimal character for type A","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Pavle Pandzic, Vladimir Soucek","submitted_at":"2016-12-18T16:56:17Z","abstract_excerpt":"We give a geometric construction of the BGG resolutions in singular infinitesimal character in the case of 1-graded complex Lie algebras of type A."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05946","kind":"arxiv","version":1},"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":"2026-05-18T00:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/+91bZYSJLvjETI7/xEwKkw2qzPNuVigkAleO1JQDks19wfdXu4IINCh2o3H2wU6vLOGAyBxjvJjtISw12IKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:56:52.432103Z"},"content_sha256":"495241e77698d4389943f78c1e7a3cf95ca812e0ef684a233cdc7dba009118bb","schema_version":"1.0","event_id":"sha256:495241e77698d4389943f78c1e7a3cf95ca812e0ef684a233cdc7dba009118bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y56RXBC57RW3O4M7ZGNMSRSK2X/bundle.json","state_url":"https://pith.science/pith/Y56RXBC57RW3O4M7ZGNMSRSK2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y56RXBC57RW3O4M7ZGNMSRSK2X/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":"2026-05-26T21:56:52Z","links":{"resolver":"https://pith.science/pith/Y56RXBC57RW3O4M7ZGNMSRSK2X","bundle":"https://pith.science/pith/Y56RXBC57RW3O4M7ZGNMSRSK2X/bundle.json","state":"https://pith.science/pith/Y56RXBC57RW3O4M7ZGNMSRSK2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y56RXBC57RW3O4M7ZGNMSRSK2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Y56RXBC57RW3O4M7ZGNMSRSK2X","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":"30bf704ede902600d3f31b1c007d3e4d660d91b6ffb4e7089170f8409ec60072","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-18T16:56:17Z","title_canon_sha256":"ed221f5b81178460b72e060c831e11978e9489be6b331c458d6713b13102b4e2"},"schema_version":"1.0","source":{"id":"1612.05946","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05946","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05946v1","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05946","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"Y56RXBC57RW3","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Y56RXBC57RW3O4M7","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Y56RXBC5","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:495241e77698d4389943f78c1e7a3cf95ca812e0ef684a233cdc7dba009118bb","target":"graph","created_at":"2026-05-18T00:26:01Z","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 give a geometric construction of the BGG resolutions in singular infinitesimal character in the case of 1-graded complex Lie algebras of type A.","authors_text":"Pavle Pandzic, Vladimir Soucek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-18T16:56:17Z","title":"BGG complexes in singular infinitesimal character for type A"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05946","kind":"arxiv","version":1},"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":"sha256:1db3d3ec33133b070d243990ca8e4d708714b425ad37fb2a73234d86f12f83e7","target":"record","created_at":"2026-05-18T00:26:01Z","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":"30bf704ede902600d3f31b1c007d3e4d660d91b6ffb4e7089170f8409ec60072","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-18T16:56:17Z","title_canon_sha256":"ed221f5b81178460b72e060c831e11978e9489be6b331c458d6713b13102b4e2"},"schema_version":"1.0","source":{"id":"1612.05946","kind":"arxiv","version":1}},"canonical_sha256":"c77d1b845dfc6db7719fc99ac9464ad5d53bea42ca562d2fa86085b7ea7b0b82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c77d1b845dfc6db7719fc99ac9464ad5d53bea42ca562d2fa86085b7ea7b0b82","first_computed_at":"2026-05-18T00:26:01.550285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:01.550285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XHEq+GwNSM0A3dkmzMEStFhY1N3cfQ7ubYo0sNJQyYd3PhtflWl5WVjcGVZb2UwQJJyoNhBL/3EpmI5fik+PDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:01.550894Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.05946","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1db3d3ec33133b070d243990ca8e4d708714b425ad37fb2a73234d86f12f83e7","sha256:495241e77698d4389943f78c1e7a3cf95ca812e0ef684a233cdc7dba009118bb"],"state_sha256":"a863c5acff01f3490db5cf995e6a977bb928a947624c2bab2af8988b709d209c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E+J4D6VnuDt3Ty5zHuHYD8SXphAaGWv/5kf7vesR5uoJYgXTAY6nWdiY3Avpux2xi/vGdn/ngD2ULrRn/jriCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:56:52.434826Z","bundle_sha256":"1cb647eefb95b8851c20759bd5cd5a8452c8e8e6a4b80984a191a483bd1f7c3c"}}