{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:22DY5I5NW56EZ5SOZLFXGLK3LH","short_pith_number":"pith:22DY5I5N","canonical_record":{"source":{"id":"1908.04732","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-13T16:48:51Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"2a61982d7e858de14e1f2630dced81c6fbfb0a8f0ad3b6bfa6477afc5991debc","abstract_canon_sha256":"374a8cbf5091fe043aef78777578d0a8f415a9e5111dab241f31644c96f8a7e9"},"schema_version":"1.0"},"canonical_sha256":"d6878ea3adb77c4cf64ecacb732d5b59c834850989f2082aa1269b53ea0d475d","source":{"kind":"arxiv","id":"1908.04732","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04732","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04732v2","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04732","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"22DY5I5NW56E","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"pith_short_16","alias_value":"22DY5I5NW56EZ5SO","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"pith_short_8","alias_value":"22DY5I5N","created_at":"2026-07-05T00:51:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:22DY5I5NW56EZ5SOZLFXGLK3LH","target":"record","payload":{"canonical_record":{"source":{"id":"1908.04732","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-13T16:48:51Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"2a61982d7e858de14e1f2630dced81c6fbfb0a8f0ad3b6bfa6477afc5991debc","abstract_canon_sha256":"374a8cbf5091fe043aef78777578d0a8f415a9e5111dab241f31644c96f8a7e9"},"schema_version":"1.0"},"canonical_sha256":"d6878ea3adb77c4cf64ecacb732d5b59c834850989f2082aa1269b53ea0d475d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:51:29.840235Z","signature_b64":"nEIVztEfqRG/EKL3h4bTV3X8e+SDrTnNuIHvGeyvj3MDObv5nY/O4y/e67Lv/omvVGQItebhmOPm8hXDwzCDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6878ea3adb77c4cf64ecacb732d5b59c834850989f2082aa1269b53ea0d475d","last_reissued_at":"2026-07-05T00:51:29.839779Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:51:29.839779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.04732","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cZDIp+BtooJKwlWciY7JCf4q0C+o3mW8xUWDfsLo/LJGICEQvngTLQj8uFs4PMMvYqc+TH4FQkpBEueA4OcMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:05:22.780458Z"},"content_sha256":"64d8db0084c64d7914bfc217ddc92d406b1d8eb5f4d034a2d58cdd0c00d532c9","schema_version":"1.0","event_id":"sha256:64d8db0084c64d7914bfc217ddc92d406b1d8eb5f4d034a2d58cdd0c00d532c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:22DY5I5NW56EZ5SOZLFXGLK3LH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schedules and the Delta Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Emily Sergel, James Haglund","submitted_at":"2019-08-13T16:48:51Z","abstract_excerpt":"In a recent preprint, Carlsson and Oblomkov (2018) obtain a long sought after monomial basis for the ring $\\operatorname{DR}_n$ of diagonal coinvariants. Their basis is closely related to the \"schedules\" formula for the Hilbert series of $\\operatorname{DR}_n$ which was conjectured by the first author and Loehr (2005) and first proved by Carlsson and Mellit (2018), as a consequence of their proof of the famous Shuffle Conjecture. In this article we obtain a schedules formula for the combinatorial side of the Delta Conjecture, a conjecture introduced by the first author, Remmel and Wilson (2018)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04732","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.04732/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8dqp2qxJe9nJVK75kP4ndUfZWmKWLXlSgLrtF8pNrzTnrHZHBXnJwz15gRkuJP5tipJlXITw4yGRw8v8bzxjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:05:22.781375Z"},"content_sha256":"041778710209e17de8c6345d8e29b26e05ff678f265c2ee556fe619d7fe879e2","schema_version":"1.0","event_id":"sha256:041778710209e17de8c6345d8e29b26e05ff678f265c2ee556fe619d7fe879e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/22DY5I5NW56EZ5SOZLFXGLK3LH/bundle.json","state_url":"https://pith.science/pith/22DY5I5NW56EZ5SOZLFXGLK3LH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/22DY5I5NW56EZ5SOZLFXGLK3LH/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":"2026-08-16T05:05:22Z","links":{"resolver":"https://pith.science/pith/22DY5I5NW56EZ5SOZLFXGLK3LH","bundle":"https://pith.science/pith/22DY5I5NW56EZ5SOZLFXGLK3LH/bundle.json","state":"https://pith.science/pith/22DY5I5NW56EZ5SOZLFXGLK3LH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/22DY5I5NW56EZ5SOZLFXGLK3LH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:22DY5I5NW56EZ5SOZLFXGLK3LH","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":"374a8cbf5091fe043aef78777578d0a8f415a9e5111dab241f31644c96f8a7e9","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-13T16:48:51Z","title_canon_sha256":"2a61982d7e858de14e1f2630dced81c6fbfb0a8f0ad3b6bfa6477afc5991debc"},"schema_version":"1.0","source":{"id":"1908.04732","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04732","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04732v2","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04732","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"22DY5I5NW56E","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"pith_short_16","alias_value":"22DY5I5NW56EZ5SO","created_at":"2026-07-05T00:51:29Z"},{"alias_kind":"pith_short_8","alias_value":"22DY5I5N","created_at":"2026-07-05T00:51:29Z"}],"graph_snapshots":[{"event_id":"sha256:041778710209e17de8c6345d8e29b26e05ff678f265c2ee556fe619d7fe879e2","target":"graph","created_at":"2026-07-05T00:51:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04732/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a recent preprint, Carlsson and Oblomkov (2018) obtain a long sought after monomial basis for the ring $\\operatorname{DR}_n$ of diagonal coinvariants. Their basis is closely related to the \"schedules\" formula for the Hilbert series of $\\operatorname{DR}_n$ which was conjectured by the first author and Loehr (2005) and first proved by Carlsson and Mellit (2018), as a consequence of their proof of the famous Shuffle Conjecture. In this article we obtain a schedules formula for the combinatorial side of the Delta Conjecture, a conjecture introduced by the first author, Remmel and Wilson (2018)","authors_text":"Emily Sergel, James Haglund","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-13T16:48:51Z","title":"Schedules and the Delta Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04732","kind":"arxiv","version":2},"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":"sha256:64d8db0084c64d7914bfc217ddc92d406b1d8eb5f4d034a2d58cdd0c00d532c9","target":"record","created_at":"2026-07-05T00:51:29Z","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":"374a8cbf5091fe043aef78777578d0a8f415a9e5111dab241f31644c96f8a7e9","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-13T16:48:51Z","title_canon_sha256":"2a61982d7e858de14e1f2630dced81c6fbfb0a8f0ad3b6bfa6477afc5991debc"},"schema_version":"1.0","source":{"id":"1908.04732","kind":"arxiv","version":2}},"canonical_sha256":"d6878ea3adb77c4cf64ecacb732d5b59c834850989f2082aa1269b53ea0d475d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6878ea3adb77c4cf64ecacb732d5b59c834850989f2082aa1269b53ea0d475d","first_computed_at":"2026-07-05T00:51:29.839779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:51:29.839779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nEIVztEfqRG/EKL3h4bTV3X8e+SDrTnNuIHvGeyvj3MDObv5nY/O4y/e67Lv/omvVGQItebhmOPm8hXDwzCDCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:51:29.840235Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04732","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64d8db0084c64d7914bfc217ddc92d406b1d8eb5f4d034a2d58cdd0c00d532c9","sha256:041778710209e17de8c6345d8e29b26e05ff678f265c2ee556fe619d7fe879e2"],"state_sha256":"0ac90a25c6293480a5862c81d67025567891741971c14ac99ae54b1a81ec867c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S27bcVFn8oG8bG1IlZ+oklt21KhavrtpHIrjt1wNyJduGD12AzqagiZmgcPf9SOZEviTpZV65NiCwkKxYR9RBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T05:05:22.787265Z","bundle_sha256":"d5aa7cee913ec288813463dc28c8d33eeac8302ff3dd95b28bf229bc0880bcec"}}