{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DOVBESXCRCCA7ZAKFFZP7G5KR3","short_pith_number":"pith:DOVBESXC","canonical_record":{"source":{"id":"1106.2399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-13T08:44:54Z","cross_cats_sorted":["math.CO","math.RT"],"title_canon_sha256":"c520f6cebf2e72cc1660a22c5315cc04ed0e0e05c98e829209c22ad0a2493874","abstract_canon_sha256":"6be3e499fcda90c406c910f5f6d3b8a49ad482fa057efaa1173f89c316fa2ae9"},"schema_version":"1.0"},"canonical_sha256":"1baa124ae288840fe40a2972ff9baa8ece662bf9711f19dd2ba8ed8c9bfc7a9b","source":{"kind":"arxiv","id":"1106.2399","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2399","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2399v1","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2399","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"DOVBESXCRCCA","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DOVBESXCRCCA7ZAK","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DOVBESXC","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DOVBESXCRCCA7ZAKFFZP7G5KR3","target":"record","payload":{"canonical_record":{"source":{"id":"1106.2399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-13T08:44:54Z","cross_cats_sorted":["math.CO","math.RT"],"title_canon_sha256":"c520f6cebf2e72cc1660a22c5315cc04ed0e0e05c98e829209c22ad0a2493874","abstract_canon_sha256":"6be3e499fcda90c406c910f5f6d3b8a49ad482fa057efaa1173f89c316fa2ae9"},"schema_version":"1.0"},"canonical_sha256":"1baa124ae288840fe40a2972ff9baa8ece662bf9711f19dd2ba8ed8c9bfc7a9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:49.665371Z","signature_b64":"6WQXrvwwjs1iatVQEeXXCNO39vKlGuBfvOJ/R4tOFm4Sr7N58QR2aYHyJm9h1wT7wcOK6tPFTIJiGTMUQEtCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1baa124ae288840fe40a2972ff9baa8ece662bf9711f19dd2ba8ed8c9bfc7a9b","last_reissued_at":"2026-05-18T03:40:49.664623Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:49.664623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.2399","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":"2026-05-18T03:40:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"khVau+pEUtK3N9zTX6VcUBxVJfDQuxpg2bPotU6dXt/WwwlkB1LMEFK+429uyZLLxW5xz1W0a9oGGnFsxa55AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:50:08.575067Z"},"content_sha256":"eb63d44e70aab7b2767bf96752f3e74091c96fcca875f563645994f8d2dd010b","schema_version":"1.0","event_id":"sha256:eb63d44e70aab7b2767bf96752f3e74091c96fcca875f563645994f8d2dd010b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DOVBESXCRCCA7ZAKFFZP7G5KR3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quiver Grassmannians and degenerate flag varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.RT"],"primary_cat":"math.AG","authors_text":"Evgeny Feigin, Giovanni Cerulli Irelli, Markus Reineke","submitted_at":"2011-06-13T08:44:54Z","abstract_excerpt":"Quiver Grassmannians are varieties parametrizing subrepresentations of a quiver representation. It is observed that certain quiver Grassmannians for type A quivers are isomorphic to the degenerate flag varieties investigated earlier by the second named author. This leads to the consideration of a class of Grassmannians of subrepresentations of the direct sum of a projective and an injective representation of a Dynkin quiver. It is proven that these are (typically singular) irreducible normal local complete intersection varieties, which admit a group action with finitely many orbits, and a cell"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2399","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":"2026-05-18T03:40:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yD9e0pZLg2CbNDsQDRbURmDFHWKym36Pn/pFPAzHcSGK3DUVmwlVNG+u1xxlRTnvJ67Ez7/FPQKhlVUlXyqlAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:50:08.575792Z"},"content_sha256":"e63773b9280e6833a635621bd07af7e5aa099b7013043f27ebd97a78841144dc","schema_version":"1.0","event_id":"sha256:e63773b9280e6833a635621bd07af7e5aa099b7013043f27ebd97a78841144dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DOVBESXCRCCA7ZAKFFZP7G5KR3/bundle.json","state_url":"https://pith.science/pith/DOVBESXCRCCA7ZAKFFZP7G5KR3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DOVBESXCRCCA7ZAKFFZP7G5KR3/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":"2026-05-24T00:50:08Z","links":{"resolver":"https://pith.science/pith/DOVBESXCRCCA7ZAKFFZP7G5KR3","bundle":"https://pith.science/pith/DOVBESXCRCCA7ZAKFFZP7G5KR3/bundle.json","state":"https://pith.science/pith/DOVBESXCRCCA7ZAKFFZP7G5KR3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DOVBESXCRCCA7ZAKFFZP7G5KR3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DOVBESXCRCCA7ZAKFFZP7G5KR3","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":"6be3e499fcda90c406c910f5f6d3b8a49ad482fa057efaa1173f89c316fa2ae9","cross_cats_sorted":["math.CO","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-13T08:44:54Z","title_canon_sha256":"c520f6cebf2e72cc1660a22c5315cc04ed0e0e05c98e829209c22ad0a2493874"},"schema_version":"1.0","source":{"id":"1106.2399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2399","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2399v1","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2399","created_at":"2026-05-18T03:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"DOVBESXCRCCA","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DOVBESXCRCCA7ZAK","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DOVBESXC","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:e63773b9280e6833a635621bd07af7e5aa099b7013043f27ebd97a78841144dc","target":"graph","created_at":"2026-05-18T03:40:49Z","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":"Quiver Grassmannians are varieties parametrizing subrepresentations of a quiver representation. It is observed that certain quiver Grassmannians for type A quivers are isomorphic to the degenerate flag varieties investigated earlier by the second named author. This leads to the consideration of a class of Grassmannians of subrepresentations of the direct sum of a projective and an injective representation of a Dynkin quiver. It is proven that these are (typically singular) irreducible normal local complete intersection varieties, which admit a group action with finitely many orbits, and a cell","authors_text":"Evgeny Feigin, Giovanni Cerulli Irelli, Markus Reineke","cross_cats":["math.CO","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-13T08:44:54Z","title":"Quiver Grassmannians and degenerate flag varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2399","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:eb63d44e70aab7b2767bf96752f3e74091c96fcca875f563645994f8d2dd010b","target":"record","created_at":"2026-05-18T03:40:49Z","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":"6be3e499fcda90c406c910f5f6d3b8a49ad482fa057efaa1173f89c316fa2ae9","cross_cats_sorted":["math.CO","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-13T08:44:54Z","title_canon_sha256":"c520f6cebf2e72cc1660a22c5315cc04ed0e0e05c98e829209c22ad0a2493874"},"schema_version":"1.0","source":{"id":"1106.2399","kind":"arxiv","version":1}},"canonical_sha256":"1baa124ae288840fe40a2972ff9baa8ece662bf9711f19dd2ba8ed8c9bfc7a9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1baa124ae288840fe40a2972ff9baa8ece662bf9711f19dd2ba8ed8c9bfc7a9b","first_computed_at":"2026-05-18T03:40:49.664623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:49.664623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6WQXrvwwjs1iatVQEeXXCNO39vKlGuBfvOJ/R4tOFm4Sr7N58QR2aYHyJm9h1wT7wcOK6tPFTIJiGTMUQEtCBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:49.665371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb63d44e70aab7b2767bf96752f3e74091c96fcca875f563645994f8d2dd010b","sha256:e63773b9280e6833a635621bd07af7e5aa099b7013043f27ebd97a78841144dc"],"state_sha256":"d39392e4e7f561eceb774a463b8e15c19a96d64c837c6fbe6159e0d7eac9c6f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMKJPVc8VUbL6rPwnXfbRTAG2LiuXCA4pJTRwvc3b/DwmLg3jNDrPZFDCSNicCVyRuBrtolZRZW6O3+v4ZCkDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T00:50:08.579457Z","bundle_sha256":"1f7fcd7cb2058d721e8730ea567046a0aec9f838bf9b6fbecbde46054b50db18"}}