{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:43BSVWNUO5NL5JTTKWQSG2QXTL","short_pith_number":"pith:43BSVWNU","schema_version":"1.0","canonical_sha256":"e6c32ad9b4775abea67355a1236a179ace38655c9ee7440cbd17ab7a749e94c9","source":{"kind":"arxiv","id":"1612.03922","version":2},"attestation_state":"computed","paper":{"title":"Building reverse plane partitions with rim-hook-shaped bricks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Robin Sulzgruber","submitted_at":"2016-12-12T21:05:15Z","abstract_excerpt":"The generating function of reverse plane partitions of a fixed shape factors into a product featuring the hook-lengths of this shape. This result, which was first obtained by Stanley, can be explained bijectively using the Hillman-Grassl correspondence between reverse plane partitions and tableaux weighted by hook-lengths. In this extended abstract an alternative bijection between the same families of objects is presented. This construction is best perceived as a set of rules for building reverse plane partitions, viewed as arrangements of stacks of cubes, using bricks in the shape of rim-hook"},"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":"1612.03922","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-12-12T21:05:15Z","cross_cats_sorted":[],"title_canon_sha256":"55d322d8c28149625287906121ac46e8133d45a49e353143d6d18255a510c065","abstract_canon_sha256":"1df6d9934a5a407aed916ac48116c63f16a2d92376f29d32f2d9bf702dc03aea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:13.207943Z","signature_b64":"GilzjH3ZfW3jmWcp5mbtrKzC0+mO+Sl1JU1cTyG1Tt+zyZ2KKIC5G1XCqGhvugrw+GTn1kdXY9Loz2d049SqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6c32ad9b4775abea67355a1236a179ace38655c9ee7440cbd17ab7a749e94c9","last_reissued_at":"2026-05-18T00:52:13.207512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:13.207512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Building reverse plane partitions with rim-hook-shaped bricks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Robin Sulzgruber","submitted_at":"2016-12-12T21:05:15Z","abstract_excerpt":"The generating function of reverse plane partitions of a fixed shape factors into a product featuring the hook-lengths of this shape. This result, which was first obtained by Stanley, can be explained bijectively using the Hillman-Grassl correspondence between reverse plane partitions and tableaux weighted by hook-lengths. In this extended abstract an alternative bijection between the same families of objects is presented. This construction is best perceived as a set of rules for building reverse plane partitions, viewed as arrangements of stacks of cubes, using bricks in the shape of rim-hook"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03922","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1612.03922","created_at":"2026-05-18T00:52:13.207569+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.03922v2","created_at":"2026-05-18T00:52:13.207569+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03922","created_at":"2026-05-18T00:52:13.207569+00:00"},{"alias_kind":"pith_short_12","alias_value":"43BSVWNUO5NL","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"43BSVWNUO5NL5JTT","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"43BSVWNU","created_at":"2026-05-18T12:29:58.707656+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL","json":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL.json","graph_json":"https://pith.science/api/pith-number/43BSVWNUO5NL5JTTKWQSG2QXTL/graph.json","events_json":"https://pith.science/api/pith-number/43BSVWNUO5NL5JTTKWQSG2QXTL/events.json","paper":"https://pith.science/paper/43BSVWNU"},"agent_actions":{"view_html":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL","download_json":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL.json","view_paper":"https://pith.science/paper/43BSVWNU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.03922&json=true","fetch_graph":"https://pith.science/api/pith-number/43BSVWNUO5NL5JTTKWQSG2QXTL/graph.json","fetch_events":"https://pith.science/api/pith-number/43BSVWNUO5NL5JTTKWQSG2QXTL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL/action/storage_attestation","attest_author":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL/action/author_attestation","sign_citation":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL/action/citation_signature","submit_replication":"https://pith.science/pith/43BSVWNUO5NL5JTTKWQSG2QXTL/action/replication_record"}},"created_at":"2026-05-18T00:52:13.207569+00:00","updated_at":"2026-05-18T00:52:13.207569+00:00"}