{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KSOVPEOQLATAB3Q3QOODGLMV2C","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":"1007757d52018d4246377fcad64a4fa085c6a108b38516cf8cd24a28e2c49640","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-03T17:10:27Z","title_canon_sha256":"e1bd87b9e5bb40b40152d82434605c25b345d8817f61783c9e8b46e259c63e9d"},"schema_version":"1.0","source":{"id":"2004.01675","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.01675","created_at":"2026-07-05T01:46:50Z"},{"alias_kind":"arxiv_version","alias_value":"2004.01675v2","created_at":"2026-07-05T01:46:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.01675","created_at":"2026-07-05T01:46:50Z"},{"alias_kind":"pith_short_12","alias_value":"KSOVPEOQLATA","created_at":"2026-07-05T01:46:50Z"},{"alias_kind":"pith_short_16","alias_value":"KSOVPEOQLATAB3Q3","created_at":"2026-07-05T01:46:50Z"},{"alias_kind":"pith_short_8","alias_value":"KSOVPEOQ","created_at":"2026-07-05T01:46:50Z"}],"graph_snapshots":[{"event_id":"sha256:71854537e0c318ba798cd23baacf196c9427c0abb29ff81ed821179d01c0d5e5","target":"graph","created_at":"2026-07-05T01:46:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2004.01675/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study Hasse diagrams of moduli spaces of $\\mathrm{3d}$ $\\mathcal{N}=4$ quiver gauge theories. The goal of this work is twofold: 1) We introduce the notion of inverting a Hasse diagram and conjecture that the Coulomb branch and Higgs branch Hasse diagrams of certain theories are related through this operation. 2) We introduce a Hasse diagram to map out the entire moduli space of the theory, including the Coulomb, Higgs and mixed branches. For theories whose Higgs and Coulomb branch Hasse diagrams are related by inversion it is straight forward to generate the Hasse diagram of the entire modu","authors_text":"Amihay Hanany, Julius F. Grimminger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-03T17:10:27Z","title":"Hasse Diagrams for $\\mathbf{3d}$ $\\mathbf{\\mathcal{N}=4}$ Quiver Gauge Theories -- Inversion and the full Moduli Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.01675","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":"sha256:991adf6ad370e4fbbc6002909e72053a7ad056bec627381b990db966a2e5232a","target":"record","created_at":"2026-07-05T01:46:50Z","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":"1007757d52018d4246377fcad64a4fa085c6a108b38516cf8cd24a28e2c49640","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-03T17:10:27Z","title_canon_sha256":"e1bd87b9e5bb40b40152d82434605c25b345d8817f61783c9e8b46e259c63e9d"},"schema_version":"1.0","source":{"id":"2004.01675","kind":"arxiv","version":2}},"canonical_sha256":"549d5791d0582600ee1b839c332d95d0a0cfe8b445a2cbc0fa577a75660b23d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"549d5791d0582600ee1b839c332d95d0a0cfe8b445a2cbc0fa577a75660b23d5","first_computed_at":"2026-07-05T01:46:50.371577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:46:50.371577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ph/cOMCkXp23JgsdWf/RY6Ieb15t8tLBh2rKp/+Vct4ELhuBG2Kj5oMagy/ByQ6p+zBP0Fq7xbz2R7JTzlLuBw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:46:50.372001Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.01675","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:991adf6ad370e4fbbc6002909e72053a7ad056bec627381b990db966a2e5232a","sha256:71854537e0c318ba798cd23baacf196c9427c0abb29ff81ed821179d01c0d5e5"],"state_sha256":"5a4fdd521899364806026372e5d530949246344f6b106cd3993b5ec7bb0ac38e"}