{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZNXGNQIAUQCO4G3C4HRDBWV7TK","short_pith_number":"pith:ZNXGNQIA","canonical_record":{"source":{"id":"1803.08303","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T10:50:12Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"ab547f1883fbd083d13acf88585c26580091f47d941f9522412d7492d4ae7835","abstract_canon_sha256":"747ceecfe84eeff594df783a8e721148dd2b39899d526d8e451d3645abc224df"},"schema_version":"1.0"},"canonical_sha256":"cb6e66c100a404ee1b62e1e230dabf9abb7528dec6ececc282f8359a65705186","source":{"kind":"arxiv","id":"1803.08303","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08303","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08303v1","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08303","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"pith_short_12","alias_value":"ZNXGNQIAUQCO","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZNXGNQIAUQCO4G3C","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZNXGNQIA","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZNXGNQIAUQCO4G3C4HRDBWV7TK","target":"record","payload":{"canonical_record":{"source":{"id":"1803.08303","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T10:50:12Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"ab547f1883fbd083d13acf88585c26580091f47d941f9522412d7492d4ae7835","abstract_canon_sha256":"747ceecfe84eeff594df783a8e721148dd2b39899d526d8e451d3645abc224df"},"schema_version":"1.0"},"canonical_sha256":"cb6e66c100a404ee1b62e1e230dabf9abb7528dec6ececc282f8359a65705186","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:23.173510Z","signature_b64":"O2giOgG2t9DAoVFYWwWZX54lBE/RDy/lkqPEbwTHw9rJDKIbWO+Rv2G/rWcIRHeOvtpINU60B12Ch94+ZSoxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb6e66c100a404ee1b62e1e230dabf9abb7528dec6ececc282f8359a65705186","last_reissued_at":"2026-05-18T00:20:23.172839Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:23.172839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.08303","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":"2026-05-18T00:20:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bxv8OGDE7Ne4wdwLWdsWh37kXVuEW9YP+aeS2nTmDd2DSe7VqsuJWuyC6Xdy3EWahQrRCHAmbndCkUXDNA2yBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:26:13.242597Z"},"content_sha256":"6a012f7fcf6004255c855cc759d730e2a3ee407ee2e48412253cb2b44ca9beef","schema_version":"1.0","event_id":"sha256:6a012f7fcf6004255c855cc759d730e2a3ee407ee2e48412253cb2b44ca9beef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZNXGNQIAUQCO4G3C4HRDBWV7TK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The representation type of determinantal varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Jan O. Kleppe, Rosa M. Mir\\'o-Roig","submitted_at":"2018-03-22T10:50:12Z","abstract_excerpt":"This work is entirely devoted to construct huge families of indecomposable arithmetically Cohen-Macaulay (resp. Ulrich) sheaves E of arbitrary high rank on a general standard (resp. linear) determinantal scheme X\\subset \\PP^n of codimension c \\ge 1, n-c \\ge 1 and defined by the maximal minors of a t \\times (t+c-1) homogeneous matrix A. The sheaves E are constructed as iterated extensions of sheaves of lower rank. As applications: (1) we prove that any general standard determinantal scheme X\\subset \\PP^n is of wild representation type provided the degrees of the entries of the matrix A satisfy "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08303","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":"2026-05-18T00:20:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcsVSVlFzOIB7pxCCkhO7oZOeedfM0H9g2KgSB7iVcDujcPHgJQceIMQJA686zY/txr1hKnyVdP01hvBlR8GCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:26:13.243302Z"},"content_sha256":"5d5e2dd7a55bce4dc0bcc77ede13b1fbd97c8108987bcec00dea3c2dbb29ca79","schema_version":"1.0","event_id":"sha256:5d5e2dd7a55bce4dc0bcc77ede13b1fbd97c8108987bcec00dea3c2dbb29ca79"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZNXGNQIAUQCO4G3C4HRDBWV7TK/bundle.json","state_url":"https://pith.science/pith/ZNXGNQIAUQCO4G3C4HRDBWV7TK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZNXGNQIAUQCO4G3C4HRDBWV7TK/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":"2026-06-11T00:26:13Z","links":{"resolver":"https://pith.science/pith/ZNXGNQIAUQCO4G3C4HRDBWV7TK","bundle":"https://pith.science/pith/ZNXGNQIAUQCO4G3C4HRDBWV7TK/bundle.json","state":"https://pith.science/pith/ZNXGNQIAUQCO4G3C4HRDBWV7TK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZNXGNQIAUQCO4G3C4HRDBWV7TK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZNXGNQIAUQCO4G3C4HRDBWV7TK","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":"747ceecfe84eeff594df783a8e721148dd2b39899d526d8e451d3645abc224df","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T10:50:12Z","title_canon_sha256":"ab547f1883fbd083d13acf88585c26580091f47d941f9522412d7492d4ae7835"},"schema_version":"1.0","source":{"id":"1803.08303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08303","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08303v1","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08303","created_at":"2026-05-18T00:20:23Z"},{"alias_kind":"pith_short_12","alias_value":"ZNXGNQIAUQCO","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZNXGNQIAUQCO4G3C","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZNXGNQIA","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:5d5e2dd7a55bce4dc0bcc77ede13b1fbd97c8108987bcec00dea3c2dbb29ca79","target":"graph","created_at":"2026-05-18T00:20:23Z","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":"This work is entirely devoted to construct huge families of indecomposable arithmetically Cohen-Macaulay (resp. Ulrich) sheaves E of arbitrary high rank on a general standard (resp. linear) determinantal scheme X\\subset \\PP^n of codimension c \\ge 1, n-c \\ge 1 and defined by the maximal minors of a t \\times (t+c-1) homogeneous matrix A. The sheaves E are constructed as iterated extensions of sheaves of lower rank. As applications: (1) we prove that any general standard determinantal scheme X\\subset \\PP^n is of wild representation type provided the degrees of the entries of the matrix A satisfy ","authors_text":"Jan O. Kleppe, Rosa M. Mir\\'o-Roig","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T10:50:12Z","title":"The representation type of determinantal varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08303","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":"sha256:6a012f7fcf6004255c855cc759d730e2a3ee407ee2e48412253cb2b44ca9beef","target":"record","created_at":"2026-05-18T00:20:23Z","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":"747ceecfe84eeff594df783a8e721148dd2b39899d526d8e451d3645abc224df","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T10:50:12Z","title_canon_sha256":"ab547f1883fbd083d13acf88585c26580091f47d941f9522412d7492d4ae7835"},"schema_version":"1.0","source":{"id":"1803.08303","kind":"arxiv","version":1}},"canonical_sha256":"cb6e66c100a404ee1b62e1e230dabf9abb7528dec6ececc282f8359a65705186","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb6e66c100a404ee1b62e1e230dabf9abb7528dec6ececc282f8359a65705186","first_computed_at":"2026-05-18T00:20:23.172839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:23.172839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O2giOgG2t9DAoVFYWwWZX54lBE/RDy/lkqPEbwTHw9rJDKIbWO+Rv2G/rWcIRHeOvtpINU60B12Ch94+ZSoxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:23.173510Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a012f7fcf6004255c855cc759d730e2a3ee407ee2e48412253cb2b44ca9beef","sha256:5d5e2dd7a55bce4dc0bcc77ede13b1fbd97c8108987bcec00dea3c2dbb29ca79"],"state_sha256":"7637468237a9b2a865c6cf99e1d003d0dba4455f394f4f23ec729e617673dd84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cxaQCPuo+7pHL3xisEIs4PGuTU9zc9RjPYxvMDu9aTEN+njjne4/GR2tx034ApBvelprj6WM7DPuy/6mQQW0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T00:26:13.247471Z","bundle_sha256":"7d02276c42f27acd665eac9c6d53e255ea2c982189afc132db52261e94baf9f1"}}