{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:OERYJCNKPT3QGFQ2IQHXBCF46J","short_pith_number":"pith:OERYJCNK","schema_version":"1.0","canonical_sha256":"71238489aa7cf703161a440f7088bcf24dba60b50b7acab37bfecdac8e67c9a6","source":{"kind":"arxiv","id":"2005.00924","version":3},"attestation_state":"computed","paper":{"title":"The Bosonic-Fermionic Diagonal Coinvariant Modules Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Fran\\c{c}ois Bergeron","submitted_at":"2020-05-02T21:33:15Z","abstract_excerpt":"We describe a general conjecture on how one may derive from the generic bosonic case all structural properties of multivariate diagonal coinvariant modules in $k$ sets of $n$ commuting variables (bosons), and $j$ sets of $n$ anticommuting variables (fermions)."},"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":"2005.00924","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2020-05-02T21:33:15Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"28cc082885b64c4ba036013e7dbab98ec31c881431742efd888d3a36436f6365","abstract_canon_sha256":"8dd8e15cf4ead29fff043e21847089e0b9ab516df990d3bed8ea217346298745"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:03:25.297645Z","signature_b64":"v2Y3yO81dmTtRtWIIueSjUDpY8NADzob5mORm79O4kjlUp1npQQp8vNfOlyPTW0k39O2gttMhe9KSqkZqQndAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71238489aa7cf703161a440f7088bcf24dba60b50b7acab37bfecdac8e67c9a6","last_reissued_at":"2026-07-05T01:03:25.297024Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:03:25.297024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Bosonic-Fermionic Diagonal Coinvariant Modules Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Fran\\c{c}ois Bergeron","submitted_at":"2020-05-02T21:33:15Z","abstract_excerpt":"We describe a general conjecture on how one may derive from the generic bosonic case all structural properties of multivariate diagonal coinvariant modules in $k$ sets of $n$ commuting variables (bosons), and $j$ sets of $n$ anticommuting variables (fermions)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.00924","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2005.00924/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2005.00924","created_at":"2026-07-05T01:03:25.297109+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.00924v3","created_at":"2026-07-05T01:03:25.297109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.00924","created_at":"2026-07-05T01:03:25.297109+00:00"},{"alias_kind":"pith_short_12","alias_value":"OERYJCNKPT3Q","created_at":"2026-07-05T01:03:25.297109+00:00"},{"alias_kind":"pith_short_16","alias_value":"OERYJCNKPT3QGFQ2","created_at":"2026-07-05T01:03:25.297109+00:00"},{"alias_kind":"pith_short_8","alias_value":"OERYJCNK","created_at":"2026-07-05T01:03:25.297109+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.11549","citing_title":"Superspace coinvariants and inverse systems for $GL_n(\\mathbb{F}_q)$","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30977","citing_title":"Superspace coinvariants for wreath products","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2406.19715","citing_title":"A conjectural basis for the $(1,2)$-bosonic-fermionic coinvariant ring","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2501.09920","citing_title":"The sign character of the triagonal fermionic coinvariant ring","ref_index":2,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J","json":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J.json","graph_json":"https://pith.science/api/pith-number/OERYJCNKPT3QGFQ2IQHXBCF46J/graph.json","events_json":"https://pith.science/api/pith-number/OERYJCNKPT3QGFQ2IQHXBCF46J/events.json","paper":"https://pith.science/paper/OERYJCNK"},"agent_actions":{"view_html":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J","download_json":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J.json","view_paper":"https://pith.science/paper/OERYJCNK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.00924&json=true","fetch_graph":"https://pith.science/api/pith-number/OERYJCNKPT3QGFQ2IQHXBCF46J/graph.json","fetch_events":"https://pith.science/api/pith-number/OERYJCNKPT3QGFQ2IQHXBCF46J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J/action/storage_attestation","attest_author":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J/action/author_attestation","sign_citation":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J/action/citation_signature","submit_replication":"https://pith.science/pith/OERYJCNKPT3QGFQ2IQHXBCF46J/action/replication_record"}},"created_at":"2026-07-05T01:03:25.297109+00:00","updated_at":"2026-07-05T01:03:25.297109+00:00"}