{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:S3F2YUPT7LKJHF5FB3OEKFXJRC","short_pith_number":"pith:S3F2YUPT","canonical_record":{"source":{"id":"1510.07964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-27T16:19:55Z","cross_cats_sorted":["math.CO","math.RT"],"title_canon_sha256":"c416f9e1367c3c59941008a8604769b8ee4d3b520a5c38bee825cef12f9beb6a","abstract_canon_sha256":"a74639f6deed975d3dab626a0de13638ac8f4b944795553512dfa700bc96f516"},"schema_version":"1.0"},"canonical_sha256":"96cbac51f3fad49397a50edc4516e98897b72143e17d5030ab5ee56377dea2de","source":{"kind":"arxiv","id":"1510.07964","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07964","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07964v1","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07964","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"pith_short_12","alias_value":"S3F2YUPT7LKJ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S3F2YUPT7LKJHF5F","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S3F2YUPT","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:S3F2YUPT7LKJHF5FB3OEKFXJRC","target":"record","payload":{"canonical_record":{"source":{"id":"1510.07964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-27T16:19:55Z","cross_cats_sorted":["math.CO","math.RT"],"title_canon_sha256":"c416f9e1367c3c59941008a8604769b8ee4d3b520a5c38bee825cef12f9beb6a","abstract_canon_sha256":"a74639f6deed975d3dab626a0de13638ac8f4b944795553512dfa700bc96f516"},"schema_version":"1.0"},"canonical_sha256":"96cbac51f3fad49397a50edc4516e98897b72143e17d5030ab5ee56377dea2de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:18.047602Z","signature_b64":"aM0X6JQREIeP6FPDsZOk8beC3r60Z06Dux33z5De+OyFfOFQkXlpcSQp2xhITO8v+XbgxoOlkeD/Vdt4XYYPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96cbac51f3fad49397a50edc4516e98897b72143e17d5030ab5ee56377dea2de","last_reissued_at":"2026-05-18T00:42:18.046882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:18.046882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.07964","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":"2026-05-18T00:42:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U5cN2/kQpy6LirYDwjNdYs+JXjZzjdhSXA8gdWceSrS8ul2Y0stcySPEtaALdZMWe7azvyF4G3fmkGksXmMPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:39:41.241647Z"},"content_sha256":"fa28de73d0e291be7f74d72dc5c9a707d9a06dec32953554f09a4e2fbd1b80f5","schema_version":"1.0","event_id":"sha256:fa28de73d0e291be7f74d72dc5c9a707d9a06dec32953554f09a4e2fbd1b80f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:S3F2YUPT7LKJHF5FB3OEKFXJRC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinitesimal change of stable basis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.RT"],"primary_cat":"math.AG","authors_text":"Andrei Negu\\c{t}, Eugene Gorsky","submitted_at":"2015-10-27T16:19:55Z","abstract_excerpt":"The purpose of this note is to study the Maulik-Okounkov $K-$theoretic stable basis for the Hilbert scheme of points on the plane, which depends on a \"slope\" $m \\in \\mathbb{R}$. When $m = \\frac ab$ is rational, we study the change of stable matrix from slope $m-\\varepsilon$ to $m+\\varepsilon$ for small $\\varepsilon>0$, and conjecture that it is related to the Leclerc-Thibon conjugation in the $q-$Fock space for $U_q\\widehat{\\mathfrak{gl}}_b$. This is part of a wide framework of connections involving derived categories of quantized Hilbert schemes, modules for rational Cherednik algebras and He"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07964","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":"2026-05-18T00:42:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iRGo7dwhPUnGnGo4D9VeZo8dDDip9SkDKh9pS7r/YX/KqDiWSbvAC8dwvQfvZFZ/ggrsFitOR5gp68ue3dQLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:39:41.241998Z"},"content_sha256":"b4c0b92fe77a34be83edabba64e82741691b78d495788484d654f62c548f1c00","schema_version":"1.0","event_id":"sha256:b4c0b92fe77a34be83edabba64e82741691b78d495788484d654f62c548f1c00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S3F2YUPT7LKJHF5FB3OEKFXJRC/bundle.json","state_url":"https://pith.science/pith/S3F2YUPT7LKJHF5FB3OEKFXJRC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S3F2YUPT7LKJHF5FB3OEKFXJRC/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":"2026-06-01T19:39:41Z","links":{"resolver":"https://pith.science/pith/S3F2YUPT7LKJHF5FB3OEKFXJRC","bundle":"https://pith.science/pith/S3F2YUPT7LKJHF5FB3OEKFXJRC/bundle.json","state":"https://pith.science/pith/S3F2YUPT7LKJHF5FB3OEKFXJRC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S3F2YUPT7LKJHF5FB3OEKFXJRC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S3F2YUPT7LKJHF5FB3OEKFXJRC","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":"a74639f6deed975d3dab626a0de13638ac8f4b944795553512dfa700bc96f516","cross_cats_sorted":["math.CO","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-27T16:19:55Z","title_canon_sha256":"c416f9e1367c3c59941008a8604769b8ee4d3b520a5c38bee825cef12f9beb6a"},"schema_version":"1.0","source":{"id":"1510.07964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07964","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07964v1","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07964","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"pith_short_12","alias_value":"S3F2YUPT7LKJ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S3F2YUPT7LKJHF5F","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S3F2YUPT","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:b4c0b92fe77a34be83edabba64e82741691b78d495788484d654f62c548f1c00","target":"graph","created_at":"2026-05-18T00:42:18Z","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":"The purpose of this note is to study the Maulik-Okounkov $K-$theoretic stable basis for the Hilbert scheme of points on the plane, which depends on a \"slope\" $m \\in \\mathbb{R}$. When $m = \\frac ab$ is rational, we study the change of stable matrix from slope $m-\\varepsilon$ to $m+\\varepsilon$ for small $\\varepsilon>0$, and conjecture that it is related to the Leclerc-Thibon conjugation in the $q-$Fock space for $U_q\\widehat{\\mathfrak{gl}}_b$. This is part of a wide framework of connections involving derived categories of quantized Hilbert schemes, modules for rational Cherednik algebras and He","authors_text":"Andrei Negu\\c{t}, Eugene Gorsky","cross_cats":["math.CO","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-27T16:19:55Z","title":"Infinitesimal change of stable basis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07964","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:fa28de73d0e291be7f74d72dc5c9a707d9a06dec32953554f09a4e2fbd1b80f5","target":"record","created_at":"2026-05-18T00:42:18Z","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":"a74639f6deed975d3dab626a0de13638ac8f4b944795553512dfa700bc96f516","cross_cats_sorted":["math.CO","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-27T16:19:55Z","title_canon_sha256":"c416f9e1367c3c59941008a8604769b8ee4d3b520a5c38bee825cef12f9beb6a"},"schema_version":"1.0","source":{"id":"1510.07964","kind":"arxiv","version":1}},"canonical_sha256":"96cbac51f3fad49397a50edc4516e98897b72143e17d5030ab5ee56377dea2de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96cbac51f3fad49397a50edc4516e98897b72143e17d5030ab5ee56377dea2de","first_computed_at":"2026-05-18T00:42:18.046882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:18.046882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aM0X6JQREIeP6FPDsZOk8beC3r60Z06Dux33z5De+OyFfOFQkXlpcSQp2xhITO8v+XbgxoOlkeD/Vdt4XYYPBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:18.047602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa28de73d0e291be7f74d72dc5c9a707d9a06dec32953554f09a4e2fbd1b80f5","sha256:b4c0b92fe77a34be83edabba64e82741691b78d495788484d654f62c548f1c00"],"state_sha256":"c5c27f13266ad3256db3fe17ed8b3e2ce9750ed51a46d30f7af6b43e6b59756c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UHY6hSr126N2DbutpzN9gCKtryUkMBRHYPN0JQHsxeWP2ImlldWoaqKYVmEKQWEI58L83q6/oLfJeYV+vZHHAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:39:41.243903Z","bundle_sha256":"a6e48776d535fdcdc0314c13f863ad7e7aa814fc2feaca988200c18f1bc0092b"}}