{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KSJ4H33RGF44NPAQFGP7OG7AXE","short_pith_number":"pith:KSJ4H33R","canonical_record":{"source":{"id":"1412.7127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-22T20:16:44Z","cross_cats_sorted":[],"title_canon_sha256":"a397812789d281697b5a57fd10f187590a71be3fa92c817b57842e8678924316","abstract_canon_sha256":"09eb9696e846586f80be9d3e3614c8450252bcef70214c56f158145c231143d0"},"schema_version":"1.0"},"canonical_sha256":"5493c3ef713179c6bc10299ff71be0b9183a86133ae8258bcdd6403fcaf04188","source":{"kind":"arxiv","id":"1412.7127","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7127","created_at":"2026-05-18T02:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7127v1","created_at":"2026-05-18T02:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7127","created_at":"2026-05-18T02:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"KSJ4H33RGF44","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KSJ4H33RGF44NPAQ","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KSJ4H33R","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KSJ4H33RGF44NPAQFGP7OG7AXE","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-22T20:16:44Z","cross_cats_sorted":[],"title_canon_sha256":"a397812789d281697b5a57fd10f187590a71be3fa92c817b57842e8678924316","abstract_canon_sha256":"09eb9696e846586f80be9d3e3614c8450252bcef70214c56f158145c231143d0"},"schema_version":"1.0"},"canonical_sha256":"5493c3ef713179c6bc10299ff71be0b9183a86133ae8258bcdd6403fcaf04188","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:41.094941Z","signature_b64":"S6CSWWWd26JPR/y3299PtQJ0SaO+vWrYiyvbX924CGM9P+niNAZUsUM+Pl2N0SydsFRyDusKRbHMJeQGsUNpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5493c3ef713179c6bc10299ff71be0b9183a86133ae8258bcdd6403fcaf04188","last_reissued_at":"2026-05-18T02:30:41.094472Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:41.094472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7127","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":"2026-05-18T02:30:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xMf+6SnFqXZVtmvXMZ4kqwT3yuuGGFv5y0AOhxb2Z1X30dAIOLcIAwWW0+6aMEogBRo4cTXBpTXH62c+0vATBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T21:00:26.158567Z"},"content_sha256":"691b28b4205ac04a0249491bcc508f3543b712c5e2c4e707afb446f6952fc0a3","schema_version":"1.0","event_id":"sha256:691b28b4205ac04a0249491bcc508f3543b712c5e2c4e707afb446f6952fc0a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KSJ4H33RGF44NPAQFGP7OG7AXE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surface Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sergei Gukov","submitted_at":"2014-12-22T20:16:44Z","abstract_excerpt":"This is the seventh article in the collection of reviews \"Exact results on N=2 supersymmetric gauge theories\", ed. J.Teschner. It discusses an interesting class of observables localised on surfaces that attracts steadily growing attention. In the correspondence to conformal field theory some of these observables get related to a class of fields in two dimensions called degenerate fields. These fields satisfy differential equations that can be used to extract a lot of information on the correlation functions. Understanding the origin of these differential equations within gauge theory may help "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7127","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":"2026-05-18T02:30:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"umRQc7+1x4hkRQas0fv6ecjjEhSuUlJeD1CpjPvkmpfdWJQAXqkMmjxaqyRgCOGg3oFsm62Za86yc45GCwTeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T21:00:26.158905Z"},"content_sha256":"5b77704123cbf4a9425ef7dd37d6d630a1644720b9aa87134ab3488b3b60748a","schema_version":"1.0","event_id":"sha256:5b77704123cbf4a9425ef7dd37d6d630a1644720b9aa87134ab3488b3b60748a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSJ4H33RGF44NPAQFGP7OG7AXE/bundle.json","state_url":"https://pith.science/pith/KSJ4H33RGF44NPAQFGP7OG7AXE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSJ4H33RGF44NPAQFGP7OG7AXE/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":"2026-05-19T21:00:26Z","links":{"resolver":"https://pith.science/pith/KSJ4H33RGF44NPAQFGP7OG7AXE","bundle":"https://pith.science/pith/KSJ4H33RGF44NPAQFGP7OG7AXE/bundle.json","state":"https://pith.science/pith/KSJ4H33RGF44NPAQFGP7OG7AXE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSJ4H33RGF44NPAQFGP7OG7AXE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KSJ4H33RGF44NPAQFGP7OG7AXE","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":"09eb9696e846586f80be9d3e3614c8450252bcef70214c56f158145c231143d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-22T20:16:44Z","title_canon_sha256":"a397812789d281697b5a57fd10f187590a71be3fa92c817b57842e8678924316"},"schema_version":"1.0","source":{"id":"1412.7127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7127","created_at":"2026-05-18T02:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7127v1","created_at":"2026-05-18T02:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7127","created_at":"2026-05-18T02:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"KSJ4H33RGF44","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KSJ4H33RGF44NPAQ","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KSJ4H33R","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:5b77704123cbf4a9425ef7dd37d6d630a1644720b9aa87134ab3488b3b60748a","target":"graph","created_at":"2026-05-18T02:30:41Z","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":"This is the seventh article in the collection of reviews \"Exact results on N=2 supersymmetric gauge theories\", ed. J.Teschner. It discusses an interesting class of observables localised on surfaces that attracts steadily growing attention. In the correspondence to conformal field theory some of these observables get related to a class of fields in two dimensions called degenerate fields. These fields satisfy differential equations that can be used to extract a lot of information on the correlation functions. Understanding the origin of these differential equations within gauge theory may help ","authors_text":"Sergei Gukov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-22T20:16:44Z","title":"Surface Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7127","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":"sha256:691b28b4205ac04a0249491bcc508f3543b712c5e2c4e707afb446f6952fc0a3","target":"record","created_at":"2026-05-18T02:30:41Z","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":"09eb9696e846586f80be9d3e3614c8450252bcef70214c56f158145c231143d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-22T20:16:44Z","title_canon_sha256":"a397812789d281697b5a57fd10f187590a71be3fa92c817b57842e8678924316"},"schema_version":"1.0","source":{"id":"1412.7127","kind":"arxiv","version":1}},"canonical_sha256":"5493c3ef713179c6bc10299ff71be0b9183a86133ae8258bcdd6403fcaf04188","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5493c3ef713179c6bc10299ff71be0b9183a86133ae8258bcdd6403fcaf04188","first_computed_at":"2026-05-18T02:30:41.094472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:41.094472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S6CSWWWd26JPR/y3299PtQJ0SaO+vWrYiyvbX924CGM9P+niNAZUsUM+Pl2N0SydsFRyDusKRbHMJeQGsUNpBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:41.094941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:691b28b4205ac04a0249491bcc508f3543b712c5e2c4e707afb446f6952fc0a3","sha256:5b77704123cbf4a9425ef7dd37d6d630a1644720b9aa87134ab3488b3b60748a"],"state_sha256":"9bcdb6cda43621039a448c5de77dd5807486843eed937cac8ea49f7b888649bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vc10cI3BqUb5tAUEJ6MtVO+LsoMxPGMlxP9qOlNZlddwgBfEyQxo7GApApXhtQ5s4v+ZsXeNhEb6HAEAbc4RCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T21:00:26.160818Z","bundle_sha256":"c0b491c96cca7c18bf6fb28854c424c8f9872d8b1b1b4620887c9ccfaa011d24"}}