{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:B5W5EMNLWP5VDTK7RJ5OCBLO7I","short_pith_number":"pith:B5W5EMNL","canonical_record":{"source":{"id":"1203.5784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-26T20:00:01Z","cross_cats_sorted":["math-ph","math.GT","math.MP"],"title_canon_sha256":"3e698d76abb4134b37190abd086c2d05bd3cf050183c558a068d322ccfc67e0e","abstract_canon_sha256":"472468007b8f68b4e2ac725c00dc5ca1ab66075aee4515b6877a9d333bc8f877"},"schema_version":"1.0"},"canonical_sha256":"0f6dd231abb3fb51cd5f8a7ae1056efa0343ed85a3c741f7e6a9fdbb37c53533","source":{"kind":"arxiv","id":"1203.5784","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5784","created_at":"2026-05-18T03:54:14Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5784v2","created_at":"2026-05-18T03:54:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5784","created_at":"2026-05-18T03:54:14Z"},{"alias_kind":"pith_short_12","alias_value":"B5W5EMNLWP5V","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B5W5EMNLWP5VDTK7","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B5W5EMNL","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:B5W5EMNLWP5VDTK7RJ5OCBLO7I","target":"record","payload":{"canonical_record":{"source":{"id":"1203.5784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-26T20:00:01Z","cross_cats_sorted":["math-ph","math.GT","math.MP"],"title_canon_sha256":"3e698d76abb4134b37190abd086c2d05bd3cf050183c558a068d322ccfc67e0e","abstract_canon_sha256":"472468007b8f68b4e2ac725c00dc5ca1ab66075aee4515b6877a9d333bc8f877"},"schema_version":"1.0"},"canonical_sha256":"0f6dd231abb3fb51cd5f8a7ae1056efa0343ed85a3c741f7e6a9fdbb37c53533","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:14.828825Z","signature_b64":"B4aIIxRePVDxMu+2lSlh3DCrMh9ZrcTy+TKh02RTkXpTz/jmp5VgqgxKwV+j4nXHHVKdEdgC/HC6iNufj4IHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f6dd231abb3fb51cd5f8a7ae1056efa0343ed85a3c741f7e6a9fdbb37c53533","last_reissued_at":"2026-05-18T03:54:14.828156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:14.828156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.5784","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":"2026-05-18T03:54:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f8TVLzsVdGnEkA4TSzqBU+Ef2uybxBt4qE2OHFhTbZnFrm8LaNEpY6LU9WISjG3yJUxydk9s+xd/5pqn9UVUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:13:04.198969Z"},"content_sha256":"77e0b4657549e7bbe03ea1bc8f3761bc9a00d786d9a47b06b4cc32e78ab33062","schema_version":"1.0","event_id":"sha256:77e0b4657549e7bbe03ea1bc8f3761bc9a00d786d9a47b06b4cc32e78ab33062"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:B5W5EMNLWP5VDTK7RJ5OCBLO7I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quivers, YBE and 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.GT","math.MP"],"primary_cat":"hep-th","authors_text":"Masahito Yamazaki","submitted_at":"2012-03-26T20:00:01Z","abstract_excerpt":"We study 4d superconformal indices for a large class of N=1 superconformal quiver gauge theories realized combinatorially as a bipartite graph or a set of \"zig-zag paths\" on a two-dimensional torus T^2. An exchange of loops, which we call a \"double Yang-Baxter move\", gives the Seiberg duality of the gauge theory, and the invariance of the index under the duality is translated into the Yang-Baxter-type equation of a spin system defined on a \"Z-invariant\" lattice on T^2. When we compactify the gauge theory to 3d, Higgs the theory and then compactify further to 2d, the superconformal index reduce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5784","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":"2026-05-18T03:54:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pWSOLcsOYnkR6THkjf0l1aMM+siEq+hdPf2033ndkJNuIFHqiPg2ptETBHq0Anun2BOUQ9F9l/4y2etGSUIoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:13:04.199327Z"},"content_sha256":"cb95c973b54e64ef31b69ca18e0e1da48393d1952cef89460390c5f3c99a446e","schema_version":"1.0","event_id":"sha256:cb95c973b54e64ef31b69ca18e0e1da48393d1952cef89460390c5f3c99a446e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B5W5EMNLWP5VDTK7RJ5OCBLO7I/bundle.json","state_url":"https://pith.science/pith/B5W5EMNLWP5VDTK7RJ5OCBLO7I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B5W5EMNLWP5VDTK7RJ5OCBLO7I/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":"2026-06-08T23:13:04Z","links":{"resolver":"https://pith.science/pith/B5W5EMNLWP5VDTK7RJ5OCBLO7I","bundle":"https://pith.science/pith/B5W5EMNLWP5VDTK7RJ5OCBLO7I/bundle.json","state":"https://pith.science/pith/B5W5EMNLWP5VDTK7RJ5OCBLO7I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B5W5EMNLWP5VDTK7RJ5OCBLO7I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:B5W5EMNLWP5VDTK7RJ5OCBLO7I","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":"472468007b8f68b4e2ac725c00dc5ca1ab66075aee4515b6877a9d333bc8f877","cross_cats_sorted":["math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-26T20:00:01Z","title_canon_sha256":"3e698d76abb4134b37190abd086c2d05bd3cf050183c558a068d322ccfc67e0e"},"schema_version":"1.0","source":{"id":"1203.5784","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5784","created_at":"2026-05-18T03:54:14Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5784v2","created_at":"2026-05-18T03:54:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5784","created_at":"2026-05-18T03:54:14Z"},{"alias_kind":"pith_short_12","alias_value":"B5W5EMNLWP5V","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B5W5EMNLWP5VDTK7","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B5W5EMNL","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:cb95c973b54e64ef31b69ca18e0e1da48393d1952cef89460390c5f3c99a446e","target":"graph","created_at":"2026-05-18T03:54:14Z","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 4d superconformal indices for a large class of N=1 superconformal quiver gauge theories realized combinatorially as a bipartite graph or a set of \"zig-zag paths\" on a two-dimensional torus T^2. An exchange of loops, which we call a \"double Yang-Baxter move\", gives the Seiberg duality of the gauge theory, and the invariance of the index under the duality is translated into the Yang-Baxter-type equation of a spin system defined on a \"Z-invariant\" lattice on T^2. When we compactify the gauge theory to 3d, Higgs the theory and then compactify further to 2d, the superconformal index reduce","authors_text":"Masahito Yamazaki","cross_cats":["math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-26T20:00:01Z","title":"Quivers, YBE and 3-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5784","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":"sha256:77e0b4657549e7bbe03ea1bc8f3761bc9a00d786d9a47b06b4cc32e78ab33062","target":"record","created_at":"2026-05-18T03:54:14Z","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":"472468007b8f68b4e2ac725c00dc5ca1ab66075aee4515b6877a9d333bc8f877","cross_cats_sorted":["math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-26T20:00:01Z","title_canon_sha256":"3e698d76abb4134b37190abd086c2d05bd3cf050183c558a068d322ccfc67e0e"},"schema_version":"1.0","source":{"id":"1203.5784","kind":"arxiv","version":2}},"canonical_sha256":"0f6dd231abb3fb51cd5f8a7ae1056efa0343ed85a3c741f7e6a9fdbb37c53533","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f6dd231abb3fb51cd5f8a7ae1056efa0343ed85a3c741f7e6a9fdbb37c53533","first_computed_at":"2026-05-18T03:54:14.828156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:14.828156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B4aIIxRePVDxMu+2lSlh3DCrMh9ZrcTy+TKh02RTkXpTz/jmp5VgqgxKwV+j4nXHHVKdEdgC/HC6iNufj4IHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:14.828825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5784","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77e0b4657549e7bbe03ea1bc8f3761bc9a00d786d9a47b06b4cc32e78ab33062","sha256:cb95c973b54e64ef31b69ca18e0e1da48393d1952cef89460390c5f3c99a446e"],"state_sha256":"e42b33ed75a49e692b87f9756c68873dd1cb0640f54466d4f10ce4716f77489a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9bVsYDpG2cTQYi3yW39uvxEC8iYFBU9zNg3EtVSCHttXNzhvK+V/b1unHEmoTbUJrV7Gg+3WoydtHG5sAduGCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:13:04.201224Z","bundle_sha256":"6df9322118292f1e1860f9e5a06cae25f7445a784b511c85d77158a25b2eb9c2"}}