{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DNIRN5H4B2AWHAFA5GNKDWZKUT","short_pith_number":"pith:DNIRN5H4","canonical_record":{"source":{"id":"1304.3328","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-11T14:47:57Z","cross_cats_sorted":["hep-th","math.AG","math.CO"],"title_canon_sha256":"2cf61b886b4c4f3b6131e0e99c0483062a85be415920ae4bb511cdd6c23e450b","abstract_canon_sha256":"280b1c56746f0c2b42144cc75885ab92c36f97900a4c16feb10bde4b12912b08"},"schema_version":"1.0"},"canonical_sha256":"1b5116f4fc0e816380a0e99aa1db2aa4c9091105c9de700e983a81c14f3ec51f","source":{"kind":"arxiv","id":"1304.3328","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3328","created_at":"2026-05-18T01:35:28Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3328v3","created_at":"2026-05-18T01:35:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3328","created_at":"2026-05-18T01:35:28Z"},{"alias_kind":"pith_short_12","alias_value":"DNIRN5H4B2AW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DNIRN5H4B2AWHAFA","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DNIRN5H4","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DNIRN5H4B2AWHAFA5GNKDWZKUT","target":"record","payload":{"canonical_record":{"source":{"id":"1304.3328","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-11T14:47:57Z","cross_cats_sorted":["hep-th","math.AG","math.CO"],"title_canon_sha256":"2cf61b886b4c4f3b6131e0e99c0483062a85be415920ae4bb511cdd6c23e450b","abstract_canon_sha256":"280b1c56746f0c2b42144cc75885ab92c36f97900a4c16feb10bde4b12912b08"},"schema_version":"1.0"},"canonical_sha256":"1b5116f4fc0e816380a0e99aa1db2aa4c9091105c9de700e983a81c14f3ec51f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:28.378843Z","signature_b64":"eZmr6rG502qfACs1R8VJdYv2Mi/ha5JOKdfB+TiX7xts6JZGMC81vxpXjLaIpFrw19tNrsNGWXgDY1roqLU/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b5116f4fc0e816380a0e99aa1db2aa4c9091105c9de700e983a81c14f3ec51f","last_reissued_at":"2026-05-18T01:35:28.378158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:28.378158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.3328","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QwcYiy36aeFJmr+1sehNNqa72bUOV2n9LWFklrjfkC+bb+VPtKEPliRNRxGNUjr4XIk35mgxUsbC0BUl/T0xBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:50:01.475397Z"},"content_sha256":"2c3419a221e65f5f5ec51fe93c04dc72a24d5cdb42a9ac3199fec68c1aa14f5f","schema_version":"1.0","event_id":"sha256:2c3419a221e65f5f5ec51fe93c04dc72a24d5cdb42a9ac3199fec68c1aa14f5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DNIRN5H4B2AWHAFA5GNKDWZKUT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Refined knot invariants and Hilbert schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.AG","math.CO"],"primary_cat":"math.RT","authors_text":"Andrei Negu\\c{t}, Eugene Gorsky","submitted_at":"2013-04-11T14:47:57Z","abstract_excerpt":"We consider the construction of refined Chern-Simons torus knot invariants by M. Aganagic and S. Shakirov from the DAHA viewpoint of I. Cherednik. We give a proof of Cherednik's conjecture on the stabilization of superpolynomials, and then use the results of O. Schiffmann and E. Vasserot to relate knot invariants to the Hilbert scheme of points on the plane. Then we use the methods of the second author to compute these invariants explicitly in the uncolored case. We also propose a conjecture relating these constructions to the rational Cherednik algebra, as in the work of the first author, A. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3328","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":""},"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":"2026-05-18T01:35:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r6BeqdDCdYOm9L/dZOFRfeAk7Y+aTatvEF2GD9fTPhEiuAn5o4wKLRyMBYm0jlxWgsxVfMhPDyb9MP1EtqOMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:50:01.475744Z"},"content_sha256":"ba5fbf19acdfd531245ca80f930d74163362f7feb336bbb81bc79f627a2b4638","schema_version":"1.0","event_id":"sha256:ba5fbf19acdfd531245ca80f930d74163362f7feb336bbb81bc79f627a2b4638"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DNIRN5H4B2AWHAFA5GNKDWZKUT/bundle.json","state_url":"https://pith.science/pith/DNIRN5H4B2AWHAFA5GNKDWZKUT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DNIRN5H4B2AWHAFA5GNKDWZKUT/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":"2026-06-01T05:50:01Z","links":{"resolver":"https://pith.science/pith/DNIRN5H4B2AWHAFA5GNKDWZKUT","bundle":"https://pith.science/pith/DNIRN5H4B2AWHAFA5GNKDWZKUT/bundle.json","state":"https://pith.science/pith/DNIRN5H4B2AWHAFA5GNKDWZKUT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DNIRN5H4B2AWHAFA5GNKDWZKUT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DNIRN5H4B2AWHAFA5GNKDWZKUT","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":"280b1c56746f0c2b42144cc75885ab92c36f97900a4c16feb10bde4b12912b08","cross_cats_sorted":["hep-th","math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-11T14:47:57Z","title_canon_sha256":"2cf61b886b4c4f3b6131e0e99c0483062a85be415920ae4bb511cdd6c23e450b"},"schema_version":"1.0","source":{"id":"1304.3328","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3328","created_at":"2026-05-18T01:35:28Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3328v3","created_at":"2026-05-18T01:35:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3328","created_at":"2026-05-18T01:35:28Z"},{"alias_kind":"pith_short_12","alias_value":"DNIRN5H4B2AW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DNIRN5H4B2AWHAFA","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DNIRN5H4","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:ba5fbf19acdfd531245ca80f930d74163362f7feb336bbb81bc79f627a2b4638","target":"graph","created_at":"2026-05-18T01:35:28Z","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":"We consider the construction of refined Chern-Simons torus knot invariants by M. Aganagic and S. Shakirov from the DAHA viewpoint of I. Cherednik. We give a proof of Cherednik's conjecture on the stabilization of superpolynomials, and then use the results of O. Schiffmann and E. Vasserot to relate knot invariants to the Hilbert scheme of points on the plane. Then we use the methods of the second author to compute these invariants explicitly in the uncolored case. We also propose a conjecture relating these constructions to the rational Cherednik algebra, as in the work of the first author, A. ","authors_text":"Andrei Negu\\c{t}, Eugene Gorsky","cross_cats":["hep-th","math.AG","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-11T14:47:57Z","title":"Refined knot invariants and Hilbert schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3328","kind":"arxiv","version":3},"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":"sha256:2c3419a221e65f5f5ec51fe93c04dc72a24d5cdb42a9ac3199fec68c1aa14f5f","target":"record","created_at":"2026-05-18T01:35:28Z","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":"280b1c56746f0c2b42144cc75885ab92c36f97900a4c16feb10bde4b12912b08","cross_cats_sorted":["hep-th","math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-11T14:47:57Z","title_canon_sha256":"2cf61b886b4c4f3b6131e0e99c0483062a85be415920ae4bb511cdd6c23e450b"},"schema_version":"1.0","source":{"id":"1304.3328","kind":"arxiv","version":3}},"canonical_sha256":"1b5116f4fc0e816380a0e99aa1db2aa4c9091105c9de700e983a81c14f3ec51f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b5116f4fc0e816380a0e99aa1db2aa4c9091105c9de700e983a81c14f3ec51f","first_computed_at":"2026-05-18T01:35:28.378158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:28.378158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZmr6rG502qfACs1R8VJdYv2Mi/ha5JOKdfB+TiX7xts6JZGMC81vxpXjLaIpFrw19tNrsNGWXgDY1roqLU/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:28.378843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3328","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c3419a221e65f5f5ec51fe93c04dc72a24d5cdb42a9ac3199fec68c1aa14f5f","sha256:ba5fbf19acdfd531245ca80f930d74163362f7feb336bbb81bc79f627a2b4638"],"state_sha256":"57f2ba5389d5b0a975bb5053dce5555f4d16d2d2c1bcf74c803d3d4e46181b3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s0IcMKo9v+WX0sfJyfWDIeCNXrCqndQvLcPXBhq9+OTlgmTpRUJoDGx68TQ4vGijRcguSaEmukI5PsNV6MTVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:50:01.477657Z","bundle_sha256":"5ea20de804aafdedc9e58899171b1aefc7cb371161dbc68f54eab64edd76dc15"}}