{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PZAZ6OAYOFRAITBVMSVTX5YX3S","short_pith_number":"pith:PZAZ6OAY","canonical_record":{"source":{"id":"1503.02081","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-06T21:00:15Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"284082b4ef0f8509200a1587efea97d2fe00a5b5b573b1d3b19cba5322ace241","abstract_canon_sha256":"9201ea8fe984c3681f9f98d0e87464a4ed88fa922a9a8ae42776e8c2c6c20f74"},"schema_version":"1.0"},"canonical_sha256":"7e419f38187162044c3564ab3bf717dca3770a5e62431c77ce8b1223297cb919","source":{"kind":"arxiv","id":"1503.02081","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02081","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02081v2","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02081","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"PZAZ6OAYOFRA","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZAZ6OAYOFRAITBV","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZAZ6OAY","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PZAZ6OAYOFRAITBVMSVTX5YX3S","target":"record","payload":{"canonical_record":{"source":{"id":"1503.02081","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-06T21:00:15Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"284082b4ef0f8509200a1587efea97d2fe00a5b5b573b1d3b19cba5322ace241","abstract_canon_sha256":"9201ea8fe984c3681f9f98d0e87464a4ed88fa922a9a8ae42776e8c2c6c20f74"},"schema_version":"1.0"},"canonical_sha256":"7e419f38187162044c3564ab3bf717dca3770a5e62431c77ce8b1223297cb919","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:05.302824Z","signature_b64":"kSBx19cyzOrkT1PgiSRAweNWSNMjyHakAnfyaqXW/YokNVnhueVJbsPpegoUdApM8sHFNdDTX8JFi7sXkpntDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e419f38187162044c3564ab3bf717dca3770a5e62431c77ce8b1223297cb919","last_reissued_at":"2026-05-18T01:34:05.302169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:05.302169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.02081","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":"2026-05-18T01:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZSIL+hnwYI0Ouq2zZWjc1F4kFWMRdX6p1R839xcFsDHMbv20nu+w74484pbMvv1F0maL/1kwue3AL19YqwaqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:46:50.898112Z"},"content_sha256":"256a6f54acca5f3b8cb42138710c26ed5da0e072fe4f09fcab6ab0eb0e244f28","schema_version":"1.0","event_id":"sha256:256a6f54acca5f3b8cb42138710c26ed5da0e072fe4f09fcab6ab0eb0e244f28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PZAZ6OAYOFRAITBVMSVTX5YX3S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bootstrapping SCFTs with Four Supercharges","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Dalimil Mazac, Miguel F. Paulos, Nikolay Bobev, Sheer El-Showk","submitted_at":"2015-03-06T21:00:15Z","abstract_excerpt":"We study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension $2\\leq d\\leq 4$. We show how superconformal algebras with four Poincar\\'{e} supercharges can be treated in a formalism applicable to any, in principle continuous, value of $d$ and use this to construct the superconformal blocks for any $d\\leq 4$. We then use numerical bootstrap techniques to derive upper bounds on the conformal dimension of the first unprotected operator appearing in the OPE of a chiral and an anti-chiral superconformal primar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02081","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":"2026-05-18T01:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vIljbMKDc60WUMP5N5w3zMAYOi5QD6sp/8oDdnEIhAgYCHTEIMOHDgprcUiCTutjCdWJrIt2mxm7SIGIPMbYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:46:50.898488Z"},"content_sha256":"a6de8efbbb9ae1cf5c5692b76f07301ba219593a39bf3201592bc29a3f21550b","schema_version":"1.0","event_id":"sha256:a6de8efbbb9ae1cf5c5692b76f07301ba219593a39bf3201592bc29a3f21550b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PZAZ6OAYOFRAITBVMSVTX5YX3S/bundle.json","state_url":"https://pith.science/pith/PZAZ6OAYOFRAITBVMSVTX5YX3S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PZAZ6OAYOFRAITBVMSVTX5YX3S/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":"2026-05-28T06:46:50Z","links":{"resolver":"https://pith.science/pith/PZAZ6OAYOFRAITBVMSVTX5YX3S","bundle":"https://pith.science/pith/PZAZ6OAYOFRAITBVMSVTX5YX3S/bundle.json","state":"https://pith.science/pith/PZAZ6OAYOFRAITBVMSVTX5YX3S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PZAZ6OAYOFRAITBVMSVTX5YX3S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PZAZ6OAYOFRAITBVMSVTX5YX3S","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":"9201ea8fe984c3681f9f98d0e87464a4ed88fa922a9a8ae42776e8c2c6c20f74","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-06T21:00:15Z","title_canon_sha256":"284082b4ef0f8509200a1587efea97d2fe00a5b5b573b1d3b19cba5322ace241"},"schema_version":"1.0","source":{"id":"1503.02081","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02081","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02081v2","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02081","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"PZAZ6OAYOFRA","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZAZ6OAYOFRAITBV","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZAZ6OAY","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:a6de8efbbb9ae1cf5c5692b76f07301ba219593a39bf3201592bc29a3f21550b","target":"graph","created_at":"2026-05-18T01:34:05Z","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 study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension $2\\leq d\\leq 4$. We show how superconformal algebras with four Poincar\\'{e} supercharges can be treated in a formalism applicable to any, in principle continuous, value of $d$ and use this to construct the superconformal blocks for any $d\\leq 4$. We then use numerical bootstrap techniques to derive upper bounds on the conformal dimension of the first unprotected operator appearing in the OPE of a chiral and an anti-chiral superconformal primar","authors_text":"Dalimil Mazac, Miguel F. Paulos, Nikolay Bobev, Sheer El-Showk","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-06T21:00:15Z","title":"Bootstrapping SCFTs with Four Supercharges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02081","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":"sha256:256a6f54acca5f3b8cb42138710c26ed5da0e072fe4f09fcab6ab0eb0e244f28","target":"record","created_at":"2026-05-18T01:34:05Z","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":"9201ea8fe984c3681f9f98d0e87464a4ed88fa922a9a8ae42776e8c2c6c20f74","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-06T21:00:15Z","title_canon_sha256":"284082b4ef0f8509200a1587efea97d2fe00a5b5b573b1d3b19cba5322ace241"},"schema_version":"1.0","source":{"id":"1503.02081","kind":"arxiv","version":2}},"canonical_sha256":"7e419f38187162044c3564ab3bf717dca3770a5e62431c77ce8b1223297cb919","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e419f38187162044c3564ab3bf717dca3770a5e62431c77ce8b1223297cb919","first_computed_at":"2026-05-18T01:34:05.302169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:05.302169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kSBx19cyzOrkT1PgiSRAweNWSNMjyHakAnfyaqXW/YokNVnhueVJbsPpegoUdApM8sHFNdDTX8JFi7sXkpntDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:05.302824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02081","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:256a6f54acca5f3b8cb42138710c26ed5da0e072fe4f09fcab6ab0eb0e244f28","sha256:a6de8efbbb9ae1cf5c5692b76f07301ba219593a39bf3201592bc29a3f21550b"],"state_sha256":"2e799a4e592206f6f0500cd28371d6f51a6a0699f610bd1753b8bb942d0f292c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NSJEg4AC9p8qUwRxGWvSjhfH7BANPO0X72aQyl3/dKmPiYbjE1ZmXTzuU+LCtUbHxxVjHHkVQg4oNPmlvlH9CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:46:50.900691Z","bundle_sha256":"6fc7c2ba4a3ef7b44916c7a82c613ce6e12a70f5c5f25abde7c65783fcc750ff"}}