{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QOAPQTTG237ZKWK4T7W6QMVC4I","short_pith_number":"pith:QOAPQTTG","canonical_record":{"source":{"id":"1401.3379","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-14T22:44:26Z","cross_cats_sorted":[],"title_canon_sha256":"1d65fc48fbfe9e7b4ea16a54d7487e61204b02b8ac4431b13a84746852b7e831","abstract_canon_sha256":"d4b08d9997717473eb8f4779a53f7deb4b6302158e424c975157782763cade19"},"schema_version":"1.0"},"canonical_sha256":"8380f84e66d6ff95595c9fede832a2e22a42adc211d06174c8f0b819c2239de7","source":{"kind":"arxiv","id":"1401.3379","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3379","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3379v2","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3379","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"QOAPQTTG237Z","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QOAPQTTG237ZKWK4","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QOAPQTTG","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QOAPQTTG237ZKWK4T7W6QMVC4I","target":"record","payload":{"canonical_record":{"source":{"id":"1401.3379","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-14T22:44:26Z","cross_cats_sorted":[],"title_canon_sha256":"1d65fc48fbfe9e7b4ea16a54d7487e61204b02b8ac4431b13a84746852b7e831","abstract_canon_sha256":"d4b08d9997717473eb8f4779a53f7deb4b6302158e424c975157782763cade19"},"schema_version":"1.0"},"canonical_sha256":"8380f84e66d6ff95595c9fede832a2e22a42adc211d06174c8f0b819c2239de7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:04.006093Z","signature_b64":"7MsdD+vA+WrgDyt/i9g3UjvAx+1jo/uuIeQexjVYrjkmRGoMrDU2bMYUmjmlz8MhLbpJefqet3S5VKNhw+0vAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8380f84e66d6ff95595c9fede832a2e22a42adc211d06174c8f0b819c2239de7","last_reissued_at":"2026-05-18T02:40:04.005499Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:04.005499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.3379","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":"2026-05-18T02:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UBFWSXjy7zywYvVBv14Y/B7YgDSvgHJWonWY9pWj/KLSuiidqWKtd7EyyRFAirefCs6YOEXEAZOn/gddxUiuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:31:45.092018Z"},"content_sha256":"fbfb435089755c1593dcfe8a1ed130d749ee9d49b7a8931e6f7c8a4a78920885","schema_version":"1.0","event_id":"sha256:fbfb435089755c1593dcfe8a1ed130d749ee9d49b7a8931e6f7c8a4a78920885"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QOAPQTTG237ZKWK4T7W6QMVC4I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The superconformal index and an elliptic algebra of surface defects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Lotte Hollands, Martin Fluder, Mathew Bullimore, Paul Richmond","submitted_at":"2014-01-14T22:44:26Z","abstract_excerpt":"In this paper we continue the study of the superconformal index of four-dimensional $\\mathcal{N}=2$ theories of class $\\mathcal{S}$ in the presence of surface defects. Our main result is the construction of an algebra of difference operators, whose elements are labeled by irreducible representations of $A_{N-1}$. For the fully antisymmetric tensor representations these difference operators are the Hamiltonians of the elliptic Ruijsenaars-Schneider system. The structure constants of the algebra are elliptic generalizations of the Littlewood-Richardson coefficients. In the Macdonald limit, we id"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3379","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":""},"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":"2026-05-18T02:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+7xpp4sJVZVcD6SKdm+RmcJpCRwi5Fagk4E0bgGNLurWHz4g0/5P0epol4eKWwLgUosMgzUBirjzfWcIqga+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:31:45.092387Z"},"content_sha256":"42ccac6eec02a424de7181c3c26833b7c7310290dc05dc823d8c3418df7a84b4","schema_version":"1.0","event_id":"sha256:42ccac6eec02a424de7181c3c26833b7c7310290dc05dc823d8c3418df7a84b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QOAPQTTG237ZKWK4T7W6QMVC4I/bundle.json","state_url":"https://pith.science/pith/QOAPQTTG237ZKWK4T7W6QMVC4I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QOAPQTTG237ZKWK4T7W6QMVC4I/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":"2026-06-09T15:31:45Z","links":{"resolver":"https://pith.science/pith/QOAPQTTG237ZKWK4T7W6QMVC4I","bundle":"https://pith.science/pith/QOAPQTTG237ZKWK4T7W6QMVC4I/bundle.json","state":"https://pith.science/pith/QOAPQTTG237ZKWK4T7W6QMVC4I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QOAPQTTG237ZKWK4T7W6QMVC4I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QOAPQTTG237ZKWK4T7W6QMVC4I","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":"d4b08d9997717473eb8f4779a53f7deb4b6302158e424c975157782763cade19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-14T22:44:26Z","title_canon_sha256":"1d65fc48fbfe9e7b4ea16a54d7487e61204b02b8ac4431b13a84746852b7e831"},"schema_version":"1.0","source":{"id":"1401.3379","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3379","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3379v2","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3379","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"QOAPQTTG237Z","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QOAPQTTG237ZKWK4","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QOAPQTTG","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:42ccac6eec02a424de7181c3c26833b7c7310290dc05dc823d8c3418df7a84b4","target":"graph","created_at":"2026-05-18T02:40:04Z","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":"In this paper we continue the study of the superconformal index of four-dimensional $\\mathcal{N}=2$ theories of class $\\mathcal{S}$ in the presence of surface defects. Our main result is the construction of an algebra of difference operators, whose elements are labeled by irreducible representations of $A_{N-1}$. For the fully antisymmetric tensor representations these difference operators are the Hamiltonians of the elliptic Ruijsenaars-Schneider system. The structure constants of the algebra are elliptic generalizations of the Littlewood-Richardson coefficients. In the Macdonald limit, we id","authors_text":"Lotte Hollands, Martin Fluder, Mathew Bullimore, Paul Richmond","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-14T22:44:26Z","title":"The superconformal index and an elliptic algebra of surface defects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3379","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:fbfb435089755c1593dcfe8a1ed130d749ee9d49b7a8931e6f7c8a4a78920885","target":"record","created_at":"2026-05-18T02:40:04Z","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":"d4b08d9997717473eb8f4779a53f7deb4b6302158e424c975157782763cade19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-14T22:44:26Z","title_canon_sha256":"1d65fc48fbfe9e7b4ea16a54d7487e61204b02b8ac4431b13a84746852b7e831"},"schema_version":"1.0","source":{"id":"1401.3379","kind":"arxiv","version":2}},"canonical_sha256":"8380f84e66d6ff95595c9fede832a2e22a42adc211d06174c8f0b819c2239de7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8380f84e66d6ff95595c9fede832a2e22a42adc211d06174c8f0b819c2239de7","first_computed_at":"2026-05-18T02:40:04.005499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:04.005499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7MsdD+vA+WrgDyt/i9g3UjvAx+1jo/uuIeQexjVYrjkmRGoMrDU2bMYUmjmlz8MhLbpJefqet3S5VKNhw+0vAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:04.006093Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3379","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbfb435089755c1593dcfe8a1ed130d749ee9d49b7a8931e6f7c8a4a78920885","sha256:42ccac6eec02a424de7181c3c26833b7c7310290dc05dc823d8c3418df7a84b4"],"state_sha256":"2661095a55932a55dd35906cfa7e07212ccf71b48800087d632d0fdea51546c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EscpurTKdxptvGrH/mC2e9KwB7R0/AQYsvLIG/2gfqBb7r1Pl/7uGrdwBylvM61lhu13TShqblL81izl45jKCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:31:45.094395Z","bundle_sha256":"3f1121d9b55e9c9c7f1d2e5ac6f3d15b02acf4182cf6e504c85184ba155a603f"}}