{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ENS2UMJ3D7TZU3ARKNHVBZWVI3","short_pith_number":"pith:ENS2UMJ3","canonical_record":{"source":{"id":"1806.00059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-31T19:14:39Z","cross_cats_sorted":[],"title_canon_sha256":"749167288f6893b014f37cad22c6142654b186b3eedd27d001b408dcefb911c0","abstract_canon_sha256":"3a1100102b4d5dc7d39daf5909176ced0cc98e2cd556d41e6fd9372a7bacf704"},"schema_version":"1.0"},"canonical_sha256":"2365aa313b1fe79a6c11534f50e6d546e462eca957be373cacbd3fcebf386894","source":{"kind":"arxiv","id":"1806.00059","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00059","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00059v1","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00059","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"ENS2UMJ3D7TZ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ENS2UMJ3D7TZU3AR","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ENS2UMJ3","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ENS2UMJ3D7TZU3ARKNHVBZWVI3","target":"record","payload":{"canonical_record":{"source":{"id":"1806.00059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-31T19:14:39Z","cross_cats_sorted":[],"title_canon_sha256":"749167288f6893b014f37cad22c6142654b186b3eedd27d001b408dcefb911c0","abstract_canon_sha256":"3a1100102b4d5dc7d39daf5909176ced0cc98e2cd556d41e6fd9372a7bacf704"},"schema_version":"1.0"},"canonical_sha256":"2365aa313b1fe79a6c11534f50e6d546e462eca957be373cacbd3fcebf386894","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:34.153375Z","signature_b64":"D8A3MSwr3im3srNKzP7Nz6kmFrtQTqLhSoBPBj6jOqvbS67wsBItRVjf1VMQLzUg7k9iwr/tpzLf9lgf1/TrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2365aa313b1fe79a6c11534f50e6d546e462eca957be373cacbd3fcebf386894","last_reissued_at":"2026-05-18T00:07:34.152584Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:34.152584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.00059","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":"2026-05-18T00:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n8ZcV4BUoHSpYThIYJopAEFtO/CvQOQs2Hs/0Jk6CxE3+KSbEUzWg2jE0ifkjnnjj21XW37p0lZ7eqm/hWdCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:30:58.018703Z"},"content_sha256":"f26245744916cb80e81c84c7cb565b5918e123d89adff5e53cbd4f750da52260","schema_version":"1.0","event_id":"sha256:f26245744916cb80e81c84c7cb565b5918e123d89adff5e53cbd4f750da52260"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ENS2UMJ3D7TZU3ARKNHVBZWVI3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a harmonic solution for two-dimensional adjoint QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Uwe Trittmann","submitted_at":"2018-05-31T19:14:39Z","abstract_excerpt":"Two-dimensional QCD with adjoint fermions has many attractive features, yet its single-particle content remains largely unknown. To lay the foundation for a crucially improved approximation of the theory's spectrum, we developed a method to find the basis of eigenstates using the symmetry structure of the asymptotic theory where pair production is disallowed. This method produces complete sets of multi-dimensional harmonic functions for the massless and the massive theory. Previously only part of such a basis was known. The method presented here should be applicable to other theories and has t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00059","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":"2026-05-18T00:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QW7/WZMHrFQoylrLUvsWabH8Dly1/4P+2o65xFdwVCIHEX1e0iaWuAqZCfdKzHoTs71DBKtwaS5MSjJU4uJLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:30:58.019039Z"},"content_sha256":"3d7b723776350bac024b02645cfc0265b14782ef51734eeed3821a67fb4a3bba","schema_version":"1.0","event_id":"sha256:3d7b723776350bac024b02645cfc0265b14782ef51734eeed3821a67fb4a3bba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENS2UMJ3D7TZU3ARKNHVBZWVI3/bundle.json","state_url":"https://pith.science/pith/ENS2UMJ3D7TZU3ARKNHVBZWVI3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENS2UMJ3D7TZU3ARKNHVBZWVI3/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":"2026-05-28T00:30:58Z","links":{"resolver":"https://pith.science/pith/ENS2UMJ3D7TZU3ARKNHVBZWVI3","bundle":"https://pith.science/pith/ENS2UMJ3D7TZU3ARKNHVBZWVI3/bundle.json","state":"https://pith.science/pith/ENS2UMJ3D7TZU3ARKNHVBZWVI3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENS2UMJ3D7TZU3ARKNHVBZWVI3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ENS2UMJ3D7TZU3ARKNHVBZWVI3","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":"3a1100102b4d5dc7d39daf5909176ced0cc98e2cd556d41e6fd9372a7bacf704","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-31T19:14:39Z","title_canon_sha256":"749167288f6893b014f37cad22c6142654b186b3eedd27d001b408dcefb911c0"},"schema_version":"1.0","source":{"id":"1806.00059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00059","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00059v1","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00059","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"ENS2UMJ3D7TZ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ENS2UMJ3D7TZU3AR","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ENS2UMJ3","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:3d7b723776350bac024b02645cfc0265b14782ef51734eeed3821a67fb4a3bba","target":"graph","created_at":"2026-05-18T00:07:34Z","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":"Two-dimensional QCD with adjoint fermions has many attractive features, yet its single-particle content remains largely unknown. To lay the foundation for a crucially improved approximation of the theory's spectrum, we developed a method to find the basis of eigenstates using the symmetry structure of the asymptotic theory where pair production is disallowed. This method produces complete sets of multi-dimensional harmonic functions for the massless and the massive theory. Previously only part of such a basis was known. The method presented here should be applicable to other theories and has t","authors_text":"Uwe Trittmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-31T19:14:39Z","title":"On a harmonic solution for two-dimensional adjoint QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00059","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:f26245744916cb80e81c84c7cb565b5918e123d89adff5e53cbd4f750da52260","target":"record","created_at":"2026-05-18T00:07:34Z","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":"3a1100102b4d5dc7d39daf5909176ced0cc98e2cd556d41e6fd9372a7bacf704","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-31T19:14:39Z","title_canon_sha256":"749167288f6893b014f37cad22c6142654b186b3eedd27d001b408dcefb911c0"},"schema_version":"1.0","source":{"id":"1806.00059","kind":"arxiv","version":1}},"canonical_sha256":"2365aa313b1fe79a6c11534f50e6d546e462eca957be373cacbd3fcebf386894","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2365aa313b1fe79a6c11534f50e6d546e462eca957be373cacbd3fcebf386894","first_computed_at":"2026-05-18T00:07:34.152584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:34.152584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D8A3MSwr3im3srNKzP7Nz6kmFrtQTqLhSoBPBj6jOqvbS67wsBItRVjf1VMQLzUg7k9iwr/tpzLf9lgf1/TrAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:34.153375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f26245744916cb80e81c84c7cb565b5918e123d89adff5e53cbd4f750da52260","sha256:3d7b723776350bac024b02645cfc0265b14782ef51734eeed3821a67fb4a3bba"],"state_sha256":"49f83c70fff88f0fe8e8bbba6985fd65c9d616db1b7cccea92e2d26bb801ce44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LbjwmcymryzaDW/8CFdUDEzefNsikAgH6Rgdp7eU9ckWxB1cv1BmHB2h6TItHWfm4OkXyPWEXI77kXi8DndbAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:30:58.020955Z","bundle_sha256":"a0f7e57ec68c023452b5416b838d98e3d0668cfd3f1be19a157427349e18551b"}}