{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KYGZ43IQGWM3ZAZBGIYAL2MIED","short_pith_number":"pith:KYGZ43IQ","canonical_record":{"source":{"id":"1708.09720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T14:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"4d0c4a8381f471d8bcf1e785ca8bb28717b40e9fe14a7438938242a38bb13070","abstract_canon_sha256":"0cb350833e8839448a5b2135785fff6146fee9460657d4b041f13132d9395b78"},"schema_version":"1.0"},"canonical_sha256":"560d9e6d103599bc8321323005e98820f336819b6a3ead97e8c045b1ea7d70f7","source":{"kind":"arxiv","id":"1708.09720","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09720","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09720v1","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09720","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"KYGZ43IQGWM3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KYGZ43IQGWM3ZAZB","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KYGZ43IQ","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KYGZ43IQGWM3ZAZBGIYAL2MIED","target":"record","payload":{"canonical_record":{"source":{"id":"1708.09720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T14:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"4d0c4a8381f471d8bcf1e785ca8bb28717b40e9fe14a7438938242a38bb13070","abstract_canon_sha256":"0cb350833e8839448a5b2135785fff6146fee9460657d4b041f13132d9395b78"},"schema_version":"1.0"},"canonical_sha256":"560d9e6d103599bc8321323005e98820f336819b6a3ead97e8c045b1ea7d70f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:15.640197Z","signature_b64":"e+rDBTeZfSu8VnEgA1GmImbqrz9A4T5hkW1iQAM8FjxcMZ1nLIkr3/2v4gxeTKteX7Ds1LvDyJW17NdfWXJKAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"560d9e6d103599bc8321323005e98820f336819b6a3ead97e8c045b1ea7d70f7","last_reissued_at":"2026-05-18T00:36:15.639547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:15.639547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.09720","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":"2026-05-18T00:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z+x4tOOsVIK9Go/RCctPD87wrFSbp4Qz/l098Q1nwlAsDpo/2547+JcS53JJ5RuYeFOMdAWw4bsu3YoizhX9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:42:46.121838Z"},"content_sha256":"507c5a4447f7214e921b051e253a2788ad1b05e89c45eae3e0e2d01b92b15c83","schema_version":"1.0","event_id":"sha256:507c5a4447f7214e921b051e253a2788ad1b05e89c45eae3e0e2d01b92b15c83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KYGZ43IQGWM3ZAZBGIYAL2MIED","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Greene--Kleitman invariants for Sulzgruber insertion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alexander Garver, Rebecca Patrias","submitted_at":"2017-08-31T14:04:45Z","abstract_excerpt":"R. Sulzgruber's rim hook insertion and the Hillman-Grassl correspondence are two distinct bijections between the reverse plane partitions of a fixed partition shape and multisets of rim-hooks of the same partition shape. It is known that Hillman-Grassl may be equivalently defined using the Robinson-Schensted-Knuth correspondence, and we show the analogous result for Sulzgruber's insertion. We refer to our description of Sulzgruber's insertion as diagonal RSK. As a consequence of this equivalence, we show that Sulzgruber's map from multisets of rim hooks to reverse plane partitions can be expre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09720","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":"2026-05-18T00:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ni8gMbzH+8ph9HYXUk1+55sie/yYWItfYlx9cthdyse2JAKY0siC6x0KcWlO3CSDMH+cc8vX53b31DKdLO9yCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:42:46.122184Z"},"content_sha256":"8e47ee46dad30c44adca1ecb77bd41d907175f870760953ba06b66b1d3d1628a","schema_version":"1.0","event_id":"sha256:8e47ee46dad30c44adca1ecb77bd41d907175f870760953ba06b66b1d3d1628a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KYGZ43IQGWM3ZAZBGIYAL2MIED/bundle.json","state_url":"https://pith.science/pith/KYGZ43IQGWM3ZAZBGIYAL2MIED/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KYGZ43IQGWM3ZAZBGIYAL2MIED/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":"2026-06-04T21:42:46Z","links":{"resolver":"https://pith.science/pith/KYGZ43IQGWM3ZAZBGIYAL2MIED","bundle":"https://pith.science/pith/KYGZ43IQGWM3ZAZBGIYAL2MIED/bundle.json","state":"https://pith.science/pith/KYGZ43IQGWM3ZAZBGIYAL2MIED/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KYGZ43IQGWM3ZAZBGIYAL2MIED/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KYGZ43IQGWM3ZAZBGIYAL2MIED","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":"0cb350833e8839448a5b2135785fff6146fee9460657d4b041f13132d9395b78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T14:04:45Z","title_canon_sha256":"4d0c4a8381f471d8bcf1e785ca8bb28717b40e9fe14a7438938242a38bb13070"},"schema_version":"1.0","source":{"id":"1708.09720","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09720","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09720v1","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09720","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"KYGZ43IQGWM3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KYGZ43IQGWM3ZAZB","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KYGZ43IQ","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:8e47ee46dad30c44adca1ecb77bd41d907175f870760953ba06b66b1d3d1628a","target":"graph","created_at":"2026-05-18T00:36:15Z","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":"R. Sulzgruber's rim hook insertion and the Hillman-Grassl correspondence are two distinct bijections between the reverse plane partitions of a fixed partition shape and multisets of rim-hooks of the same partition shape. It is known that Hillman-Grassl may be equivalently defined using the Robinson-Schensted-Knuth correspondence, and we show the analogous result for Sulzgruber's insertion. We refer to our description of Sulzgruber's insertion as diagonal RSK. As a consequence of this equivalence, we show that Sulzgruber's map from multisets of rim hooks to reverse plane partitions can be expre","authors_text":"Alexander Garver, Rebecca Patrias","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T14:04:45Z","title":"Greene--Kleitman invariants for Sulzgruber insertion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09720","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":"sha256:507c5a4447f7214e921b051e253a2788ad1b05e89c45eae3e0e2d01b92b15c83","target":"record","created_at":"2026-05-18T00:36:15Z","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":"0cb350833e8839448a5b2135785fff6146fee9460657d4b041f13132d9395b78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T14:04:45Z","title_canon_sha256":"4d0c4a8381f471d8bcf1e785ca8bb28717b40e9fe14a7438938242a38bb13070"},"schema_version":"1.0","source":{"id":"1708.09720","kind":"arxiv","version":1}},"canonical_sha256":"560d9e6d103599bc8321323005e98820f336819b6a3ead97e8c045b1ea7d70f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"560d9e6d103599bc8321323005e98820f336819b6a3ead97e8c045b1ea7d70f7","first_computed_at":"2026-05-18T00:36:15.639547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:15.639547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e+rDBTeZfSu8VnEgA1GmImbqrz9A4T5hkW1iQAM8FjxcMZ1nLIkr3/2v4gxeTKteX7Ds1LvDyJW17NdfWXJKAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:15.640197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.09720","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:507c5a4447f7214e921b051e253a2788ad1b05e89c45eae3e0e2d01b92b15c83","sha256:8e47ee46dad30c44adca1ecb77bd41d907175f870760953ba06b66b1d3d1628a"],"state_sha256":"09991ad6579c649b48f560544c4b848e41a986f633d10b1e66f978a45b61d649"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lHzT6VS+ZmLYGxWisJtd6f6//nQKhqjWtzkdXBFmW3PMMHxMJxDwbzJMuSixLuhQxNNoasqu/JsOon1QOaHlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:42:46.124220Z","bundle_sha256":"b3fe4627f0e7ac29ffc8f55a02f4c88338cbaf465d7abe43f1b6259cc7b668d2"}}