{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JEKITCHPZGSDWBXXCBXTFJU4X3","short_pith_number":"pith:JEKITCHP","canonical_record":{"source":{"id":"2306.03023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T16:41:59Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"aafb115c47f06985a14e78580af6b313f0a4292cabb8680397aa926c39776a93","abstract_canon_sha256":"098a927300802f8683018988c860e135b3e3f36eae68c81110fa6245147b8796"},"schema_version":"1.0"},"canonical_sha256":"49148988efc9a43b06f7106f32a69cbef396f353db0f6234983bc682e104df3d","source":{"kind":"arxiv","id":"2306.03023","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.03023","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"2306.03023v1","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.03023","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"JEKITCHPZGSD","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"pith_short_16","alias_value":"JEKITCHPZGSDWBXX","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"pith_short_8","alias_value":"JEKITCHP","created_at":"2026-07-05T06:17:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JEKITCHPZGSDWBXXCBXTFJU4X3","target":"record","payload":{"canonical_record":{"source":{"id":"2306.03023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T16:41:59Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"aafb115c47f06985a14e78580af6b313f0a4292cabb8680397aa926c39776a93","abstract_canon_sha256":"098a927300802f8683018988c860e135b3e3f36eae68c81110fa6245147b8796"},"schema_version":"1.0"},"canonical_sha256":"49148988efc9a43b06f7106f32a69cbef396f353db0f6234983bc682e104df3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:17:34.059345Z","signature_b64":"VpLdi2o7CUfvb2Uw9ED/TWxWj4Hzspnj8nGiaQVmniKPhnNjtd63A9fKN6Zn3C6yzHkT62WAOwDDozCEhNSXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49148988efc9a43b06f7106f32a69cbef396f353db0f6234983bc682e104df3d","last_reissued_at":"2026-07-05T06:17:34.059001Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:17:34.059001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.03023","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":"2026-07-05T06:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oxa922RGrSmDX9aUaHHLqCjiL62NblGPyJn6p5oZ4GePz8wYhWLcDgwS9Lrc+3ARC2HQOvn4vZpm1PQ2W9tJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:32:34.640793Z"},"content_sha256":"0925897b7d7c8c58a199fb49c2ef1c38123ac65cd687a449e0b906386a2dc710","schema_version":"1.0","event_id":"sha256:0925897b7d7c8c58a199fb49c2ef1c38123ac65cd687a449e0b906386a2dc710"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JEKITCHPZGSDWBXXCBXTFJU4X3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Canonical bases for Coulomb branches of 4d $\\mathcal{N}=2$ gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.AG","authors_text":"Harold Williams, Sabin Cautis","submitted_at":"2023-06-05T16:41:59Z","abstract_excerpt":"We construct and study a nonstandard t-structure on the derived category of equivariant coherent sheaves on the Braverman-Finkelberg-Nakajima space of triples $\\mathcal{R}_{G,N}$, where $N$ is a representation of a reductive group $G$. Its heart $\\mathcal{KP}_{G,N}$ is a finite-length, rigid, monoidal abelian category with renormalized $r$-matrices. We refer to objects of $\\mathcal{KP}_{G,N}$ as Koszul-perverse coherent sheaves. Simple objects of $\\mathcal{KP}_{G,N}$ define a canonical basis in the quantized $K$-theoretic Coulomb branch of the associated gauge theory. These simples possess var"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.03023","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.03023/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":"2026-07-05T06:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f0fZa9VrjzLKyU+6FEWcFrg6BYpNGoqV5c8T4RK7KWP/EYQY9rSusejrWqtUdF4imyVmjpK2ySpbOh9dRifEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:32:34.641351Z"},"content_sha256":"559c3e381c6c1744c771d328b39636be8892d3d15be4dc0e8bc5f3a452af9f0b","schema_version":"1.0","event_id":"sha256:559c3e381c6c1744c771d328b39636be8892d3d15be4dc0e8bc5f3a452af9f0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JEKITCHPZGSDWBXXCBXTFJU4X3/bundle.json","state_url":"https://pith.science/pith/JEKITCHPZGSDWBXXCBXTFJU4X3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JEKITCHPZGSDWBXXCBXTFJU4X3/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":"2026-08-18T12:32:34Z","links":{"resolver":"https://pith.science/pith/JEKITCHPZGSDWBXXCBXTFJU4X3","bundle":"https://pith.science/pith/JEKITCHPZGSDWBXXCBXTFJU4X3/bundle.json","state":"https://pith.science/pith/JEKITCHPZGSDWBXXCBXTFJU4X3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JEKITCHPZGSDWBXXCBXTFJU4X3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JEKITCHPZGSDWBXXCBXTFJU4X3","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":"098a927300802f8683018988c860e135b3e3f36eae68c81110fa6245147b8796","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T16:41:59Z","title_canon_sha256":"aafb115c47f06985a14e78580af6b313f0a4292cabb8680397aa926c39776a93"},"schema_version":"1.0","source":{"id":"2306.03023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.03023","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"2306.03023v1","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.03023","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"JEKITCHPZGSD","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"pith_short_16","alias_value":"JEKITCHPZGSDWBXX","created_at":"2026-07-05T06:17:34Z"},{"alias_kind":"pith_short_8","alias_value":"JEKITCHP","created_at":"2026-07-05T06:17:34Z"}],"graph_snapshots":[{"event_id":"sha256:559c3e381c6c1744c771d328b39636be8892d3d15be4dc0e8bc5f3a452af9f0b","target":"graph","created_at":"2026-07-05T06:17:34Z","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/2306.03023/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct and study a nonstandard t-structure on the derived category of equivariant coherent sheaves on the Braverman-Finkelberg-Nakajima space of triples $\\mathcal{R}_{G,N}$, where $N$ is a representation of a reductive group $G$. Its heart $\\mathcal{KP}_{G,N}$ is a finite-length, rigid, monoidal abelian category with renormalized $r$-matrices. We refer to objects of $\\mathcal{KP}_{G,N}$ as Koszul-perverse coherent sheaves. Simple objects of $\\mathcal{KP}_{G,N}$ define a canonical basis in the quantized $K$-theoretic Coulomb branch of the associated gauge theory. These simples possess var","authors_text":"Harold Williams, Sabin Cautis","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T16:41:59Z","title":"Canonical bases for Coulomb branches of 4d $\\mathcal{N}=2$ gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.03023","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":"sha256:0925897b7d7c8c58a199fb49c2ef1c38123ac65cd687a449e0b906386a2dc710","target":"record","created_at":"2026-07-05T06:17:34Z","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":"098a927300802f8683018988c860e135b3e3f36eae68c81110fa6245147b8796","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T16:41:59Z","title_canon_sha256":"aafb115c47f06985a14e78580af6b313f0a4292cabb8680397aa926c39776a93"},"schema_version":"1.0","source":{"id":"2306.03023","kind":"arxiv","version":1}},"canonical_sha256":"49148988efc9a43b06f7106f32a69cbef396f353db0f6234983bc682e104df3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49148988efc9a43b06f7106f32a69cbef396f353db0f6234983bc682e104df3d","first_computed_at":"2026-07-05T06:17:34.059001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:17:34.059001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VpLdi2o7CUfvb2Uw9ED/TWxWj4Hzspnj8nGiaQVmniKPhnNjtd63A9fKN6Zn3C6yzHkT62WAOwDDozCEhNSXBA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:17:34.059345Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.03023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0925897b7d7c8c58a199fb49c2ef1c38123ac65cd687a449e0b906386a2dc710","sha256:559c3e381c6c1744c771d328b39636be8892d3d15be4dc0e8bc5f3a452af9f0b"],"state_sha256":"cfca272c553e926bf0700fa8b0e3a3a0662955abfa9c366fd7d1edc14a68549a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wKRoX4YPjpYAXKlgSfC1V3KZNH1YVb+RstdFF12Tl3sl8lE3XtzLiy5OE9M8Cg4RjtV5w74GaMdXFPNsb7rADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T12:32:34.649126Z","bundle_sha256":"91b1c1ebf6a17f27a07611df3fae111cac4caf832c4604170da870fa7bf66d96"}}