{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DPHGJHIBFIF254SNYYHIOEAF2M","short_pith_number":"pith:DPHGJHIB","canonical_record":{"source":{"id":"1701.04090","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-15T18:07:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cde0308b0935de210ef6bac6c186f89a988480f85eecf3d08ac959a778fa9ea4","abstract_canon_sha256":"362e6a37ef84365b8771c417b9d8817c56fc2ab66569ec793a8119dd4253ca74"},"schema_version":"1.0"},"canonical_sha256":"1bce649d012a0baef24dc60e871005d31cc0c64a8f23a8cbffb9643eb2c77e89","source":{"kind":"arxiv","id":"1701.04090","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04090","created_at":"2026-05-18T00:51:36Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04090v2","created_at":"2026-05-18T00:51:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04090","created_at":"2026-05-18T00:51:36Z"},{"alias_kind":"pith_short_12","alias_value":"DPHGJHIBFIF2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DPHGJHIBFIF254SN","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DPHGJHIB","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DPHGJHIBFIF254SNYYHIOEAF2M","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04090","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-15T18:07:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cde0308b0935de210ef6bac6c186f89a988480f85eecf3d08ac959a778fa9ea4","abstract_canon_sha256":"362e6a37ef84365b8771c417b9d8817c56fc2ab66569ec793a8119dd4253ca74"},"schema_version":"1.0"},"canonical_sha256":"1bce649d012a0baef24dc60e871005d31cc0c64a8f23a8cbffb9643eb2c77e89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:36.957972Z","signature_b64":"k1KKGXbG9rcUFs1V9l6/HRWV6GDvrOItEVjPHcX/+VxqR/Hbt3fGqgeeMDdyvygWTzkYVFkmdmwU+IderXE1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bce649d012a0baef24dc60e871005d31cc0c64a8f23a8cbffb9643eb2c77e89","last_reissued_at":"2026-05-18T00:51:36.957500Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:36.957500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04090","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":"2026-05-18T00:51:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9DkC7C2GLrqMkqCriiPNzcxKwTHmeuMbcsUd2xY5iFuDXPlgW824wBfW5HfRzdWpzLhPjFAt73zE7HjkFZJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:23:38.948829Z"},"content_sha256":"5912e5310c9634c55fe52766f0498d9cf2ed05108904a86ce67f384776f05763","schema_version":"1.0","event_id":"sha256:5912e5310c9634c55fe52766f0498d9cf2ed05108904a86ce67f384776f05763"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DPHGJHIBFIF254SNYYHIOEAF2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schur indices with class S line operators from networks and further skein relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Noriaki Watanabe","submitted_at":"2017-01-15T18:07:53Z","abstract_excerpt":"We compute the Schur indices in the presence of some line operators based on our con- jectural formula introduced in [1]. In particular, we focus on the rank 1 superconformal field theories with the enhanced global symmetry and the free hypermultiplets with the elementary pants networks defined on the three punctured sphere in the class S context. From the observations on the concrete computations, we propose new kinds of the class S skein relations in the sense that they include the generic puncture non-trivially. We also give a general formula to unify all the relations we have exhibited."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04090","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":"2026-05-18T00:51:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9erxX+VrNH1ifobuTtNuh59vI7fotpbDwBb90wbrHEeO4ZwzcDvLKGJ5vEfaC67UOI2SqKmWen8rreDnNcEAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:23:38.949287Z"},"content_sha256":"5f0e65a54f51c71dd0f801b2950d4d0bdbfead2b0b2de0668b6a67c2b96be2c3","schema_version":"1.0","event_id":"sha256:5f0e65a54f51c71dd0f801b2950d4d0bdbfead2b0b2de0668b6a67c2b96be2c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DPHGJHIBFIF254SNYYHIOEAF2M/bundle.json","state_url":"https://pith.science/pith/DPHGJHIBFIF254SNYYHIOEAF2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DPHGJHIBFIF254SNYYHIOEAF2M/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":"2026-05-30T20:23:38Z","links":{"resolver":"https://pith.science/pith/DPHGJHIBFIF254SNYYHIOEAF2M","bundle":"https://pith.science/pith/DPHGJHIBFIF254SNYYHIOEAF2M/bundle.json","state":"https://pith.science/pith/DPHGJHIBFIF254SNYYHIOEAF2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DPHGJHIBFIF254SNYYHIOEAF2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DPHGJHIBFIF254SNYYHIOEAF2M","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":"362e6a37ef84365b8771c417b9d8817c56fc2ab66569ec793a8119dd4253ca74","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-15T18:07:53Z","title_canon_sha256":"cde0308b0935de210ef6bac6c186f89a988480f85eecf3d08ac959a778fa9ea4"},"schema_version":"1.0","source":{"id":"1701.04090","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04090","created_at":"2026-05-18T00:51:36Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04090v2","created_at":"2026-05-18T00:51:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04090","created_at":"2026-05-18T00:51:36Z"},{"alias_kind":"pith_short_12","alias_value":"DPHGJHIBFIF2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DPHGJHIBFIF254SN","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DPHGJHIB","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:5f0e65a54f51c71dd0f801b2950d4d0bdbfead2b0b2de0668b6a67c2b96be2c3","target":"graph","created_at":"2026-05-18T00:51:36Z","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 compute the Schur indices in the presence of some line operators based on our con- jectural formula introduced in [1]. In particular, we focus on the rank 1 superconformal field theories with the enhanced global symmetry and the free hypermultiplets with the elementary pants networks defined on the three punctured sphere in the class S context. From the observations on the concrete computations, we propose new kinds of the class S skein relations in the sense that they include the generic puncture non-trivially. We also give a general formula to unify all the relations we have exhibited.","authors_text":"Noriaki Watanabe","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-15T18:07:53Z","title":"Schur indices with class S line operators from networks and further skein relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04090","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":"sha256:5912e5310c9634c55fe52766f0498d9cf2ed05108904a86ce67f384776f05763","target":"record","created_at":"2026-05-18T00:51:36Z","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":"362e6a37ef84365b8771c417b9d8817c56fc2ab66569ec793a8119dd4253ca74","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-15T18:07:53Z","title_canon_sha256":"cde0308b0935de210ef6bac6c186f89a988480f85eecf3d08ac959a778fa9ea4"},"schema_version":"1.0","source":{"id":"1701.04090","kind":"arxiv","version":2}},"canonical_sha256":"1bce649d012a0baef24dc60e871005d31cc0c64a8f23a8cbffb9643eb2c77e89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1bce649d012a0baef24dc60e871005d31cc0c64a8f23a8cbffb9643eb2c77e89","first_computed_at":"2026-05-18T00:51:36.957500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:36.957500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k1KKGXbG9rcUFs1V9l6/HRWV6GDvrOItEVjPHcX/+VxqR/Hbt3fGqgeeMDdyvygWTzkYVFkmdmwU+IderXE1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:36.957972Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04090","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5912e5310c9634c55fe52766f0498d9cf2ed05108904a86ce67f384776f05763","sha256:5f0e65a54f51c71dd0f801b2950d4d0bdbfead2b0b2de0668b6a67c2b96be2c3"],"state_sha256":"146e62f16a4eae82e32d136294c04338efdb38d91f9a284e3730c3cc484c3984"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P8oC6A6Oz5aP3l1IyH9uVMG7Q5vZ8H8/0vdgsHMKB52FtfUj6ccMVHM1t2XJqegoc6q7glNKvqLTwsenq9RPCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:23:38.952079Z","bundle_sha256":"5d48a560e58c1a4d2e0c44f0af76ab2e78dfb37007069c0b78ba12b0cbe43be3"}}