{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:JPQKZQEMISRTAWFW5TFUJA2547","short_pith_number":"pith:JPQKZQEM","schema_version":"1.0","canonical_sha256":"4be0acc08c44a33058b6eccb44835de7e3793faa8ad3a7f2efae4c5488675570","source":{"kind":"arxiv","id":"2306.17511","version":1},"attestation_state":"computed","paper":{"title":"Computational Complexity in Algebraic Combinatorics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC","math.RT"],"primary_cat":"math.CO","authors_text":"Greta Panova","submitted_at":"2023-06-30T09:56:05Z","abstract_excerpt":"Algebraic Combinatorics originated in Algebra and Representation Theory, studying their discrete objects and integral quantities via combinatorial methods which have since developed independent and self-contained lives and brought us some beautiful formulas and combinatorial interpretations. The flagship hook-length formula counts the number of Standard Young Tableaux, which also gives the dimension of the irreducible Specht modules of the Symmetric group. The elegant Littlewood-Richardson rule gives the multiplicities of irreducible GL-modules in the tensor products of GL-modules. Such formul"},"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":"2306.17511","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2023-06-30T09:56:05Z","cross_cats_sorted":["cs.CC","math.RT"],"title_canon_sha256":"d3669ed6db4fbe6c430a5d944db22f0f5c92f141ed2c75106875581d9a3f4662","abstract_canon_sha256":"2f0ec8398196766e89763dc171d7392022ee3cfc57f3c1d5241df11706959a9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:26:28.064583Z","signature_b64":"N/FisDfNZwGWRcbtKOEEv4YM9yZZCDwjqeIrF1oan6YnagG8pPVQRJ5o0+aWZBrnAwyoANt5J+qa8OFPZ51EDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4be0acc08c44a33058b6eccb44835de7e3793faa8ad3a7f2efae4c5488675570","last_reissued_at":"2026-07-05T06:26:28.063988Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:26:28.063988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computational Complexity in Algebraic Combinatorics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC","math.RT"],"primary_cat":"math.CO","authors_text":"Greta Panova","submitted_at":"2023-06-30T09:56:05Z","abstract_excerpt":"Algebraic Combinatorics originated in Algebra and Representation Theory, studying their discrete objects and integral quantities via combinatorial methods which have since developed independent and self-contained lives and brought us some beautiful formulas and combinatorial interpretations. The flagship hook-length formula counts the number of Standard Young Tableaux, which also gives the dimension of the irreducible Specht modules of the Symmetric group. The elegant Littlewood-Richardson rule gives the multiplicities of irreducible GL-modules in the tensor products of GL-modules. Such formul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.17511","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.17511/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":"2306.17511","created_at":"2026-07-05T06:26:28.064055+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.17511v1","created_at":"2026-07-05T06:26:28.064055+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.17511","created_at":"2026-07-05T06:26:28.064055+00:00"},{"alias_kind":"pith_short_12","alias_value":"JPQKZQEMISRT","created_at":"2026-07-05T06:26:28.064055+00:00"},{"alias_kind":"pith_short_16","alias_value":"JPQKZQEMISRTAWFW","created_at":"2026-07-05T06:26:28.064055+00:00"},{"alias_kind":"pith_short_8","alias_value":"JPQKZQEM","created_at":"2026-07-05T06:26:28.064055+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.02649","citing_title":"A geometric and generating function approach to plethysm","ref_index":13,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547","json":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547.json","graph_json":"https://pith.science/api/pith-number/JPQKZQEMISRTAWFW5TFUJA2547/graph.json","events_json":"https://pith.science/api/pith-number/JPQKZQEMISRTAWFW5TFUJA2547/events.json","paper":"https://pith.science/paper/JPQKZQEM"},"agent_actions":{"view_html":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547","download_json":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547.json","view_paper":"https://pith.science/paper/JPQKZQEM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.17511&json=true","fetch_graph":"https://pith.science/api/pith-number/JPQKZQEMISRTAWFW5TFUJA2547/graph.json","fetch_events":"https://pith.science/api/pith-number/JPQKZQEMISRTAWFW5TFUJA2547/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547/action/storage_attestation","attest_author":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547/action/author_attestation","sign_citation":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547/action/citation_signature","submit_replication":"https://pith.science/pith/JPQKZQEMISRTAWFW5TFUJA2547/action/replication_record"}},"created_at":"2026-07-05T06:26:28.064055+00:00","updated_at":"2026-07-05T06:26:28.064055+00:00"}