{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3N6NBZPFRFICCEE7X7O7MYWJCR","short_pith_number":"pith:3N6NBZPF","canonical_record":{"source":{"id":"1010.5523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-26T21:14:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"cb8da40115eec4d30755c41f403f2563eb7012f3e18a81dd9727ab3d4d211ff9","abstract_canon_sha256":"359b69f94e895dc64871287108f0175786bd38e63c3a27daf875797ecc891090"},"schema_version":"1.0"},"canonical_sha256":"db7cd0e5e5895021109fbfddf662c91456463d58557633ee322947d66077b6ca","source":{"kind":"arxiv","id":"1010.5523","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5523","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5523v1","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5523","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"3N6NBZPFRFIC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3N6NBZPFRFICCEE7","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3N6NBZPF","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3N6NBZPFRFICCEE7X7O7MYWJCR","target":"record","payload":{"canonical_record":{"source":{"id":"1010.5523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-26T21:14:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"cb8da40115eec4d30755c41f403f2563eb7012f3e18a81dd9727ab3d4d211ff9","abstract_canon_sha256":"359b69f94e895dc64871287108f0175786bd38e63c3a27daf875797ecc891090"},"schema_version":"1.0"},"canonical_sha256":"db7cd0e5e5895021109fbfddf662c91456463d58557633ee322947d66077b6ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:16.524765Z","signature_b64":"aSt/u68Qs0Aay8pDIoXeUD9nw/t+hLB7Ldc90nEPL4OmHPevWwwr+O130kH73nnaAEEKMVqOZs2JdjMCsjKICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db7cd0e5e5895021109fbfddf662c91456463d58557633ee322947d66077b6ca","last_reissued_at":"2026-05-18T04:38:16.524102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:16.524102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.5523","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":"2026-05-18T04:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DGSJI44VtMMSBofMVCoe+BT/P47XQKJae9dT4vT/BNy/jV0GZFwpThqwXp8dvjSru7AlTVNN9FgSrLL1T0zVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:54:13.039902Z"},"content_sha256":"2723ee25bf7235e4e8b68f0915d77ee8057033e79986b621c90f7effa3bd561f","schema_version":"1.0","event_id":"sha256:2723ee25bf7235e4e8b68f0915d77ee8057033e79986b621c90f7effa3bd561f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3N6NBZPFRFICCEE7X7O7MYWJCR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Confinement, Casimir scaling and phase transitions in G(2) gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Bjoern H. Wellegehausen","submitted_at":"2010-10-26T21:14:47Z","abstract_excerpt":"We present an efficient local hybrid Monte-Carlo algorithm to investigate G(2) gluodynamics with and without Higgs field in 3 and 4 dimensions. Additionaly we implemented a modified version of the multi-level L\\\"uscher-Weisz algorithm with exponential error reduction to measure expectation values of Wilson and Polyakov loops. In three dimensions we show that at intermediate scales the potential between static charges in the eight lowest-dimensional representations of G(2) scale with the eigenvalues of the quadratic Casimir operator. For the fundamental representations we detect string breaking"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5523","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":"2026-05-18T04:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WxLu4o5y04spFb/JZmdX6n/9/s3X0ekefHgaJshFirmaVsQTVwwoxoCKPbJfm1KuPVaY+jh6Zs9c0A+yTvVDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:54:13.040270Z"},"content_sha256":"7150995e6fe7de15e81dd5229b4cfdd98af844c42f8d95c960723889c232f7d6","schema_version":"1.0","event_id":"sha256:7150995e6fe7de15e81dd5229b4cfdd98af844c42f8d95c960723889c232f7d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3N6NBZPFRFICCEE7X7O7MYWJCR/bundle.json","state_url":"https://pith.science/pith/3N6NBZPFRFICCEE7X7O7MYWJCR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3N6NBZPFRFICCEE7X7O7MYWJCR/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":"2026-06-03T22:54:13Z","links":{"resolver":"https://pith.science/pith/3N6NBZPFRFICCEE7X7O7MYWJCR","bundle":"https://pith.science/pith/3N6NBZPFRFICCEE7X7O7MYWJCR/bundle.json","state":"https://pith.science/pith/3N6NBZPFRFICCEE7X7O7MYWJCR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3N6NBZPFRFICCEE7X7O7MYWJCR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3N6NBZPFRFICCEE7X7O7MYWJCR","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":"359b69f94e895dc64871287108f0175786bd38e63c3a27daf875797ecc891090","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-26T21:14:47Z","title_canon_sha256":"cb8da40115eec4d30755c41f403f2563eb7012f3e18a81dd9727ab3d4d211ff9"},"schema_version":"1.0","source":{"id":"1010.5523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5523","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5523v1","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5523","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"3N6NBZPFRFIC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3N6NBZPFRFICCEE7","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3N6NBZPF","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:7150995e6fe7de15e81dd5229b4cfdd98af844c42f8d95c960723889c232f7d6","target":"graph","created_at":"2026-05-18T04:38:16Z","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 present an efficient local hybrid Monte-Carlo algorithm to investigate G(2) gluodynamics with and without Higgs field in 3 and 4 dimensions. Additionaly we implemented a modified version of the multi-level L\\\"uscher-Weisz algorithm with exponential error reduction to measure expectation values of Wilson and Polyakov loops. In three dimensions we show that at intermediate scales the potential between static charges in the eight lowest-dimensional representations of G(2) scale with the eigenvalues of the quadratic Casimir operator. For the fundamental representations we detect string breaking","authors_text":"Bjoern H. Wellegehausen","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-26T21:14:47Z","title":"Confinement, Casimir scaling and phase transitions in G(2) gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5523","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":"sha256:2723ee25bf7235e4e8b68f0915d77ee8057033e79986b621c90f7effa3bd561f","target":"record","created_at":"2026-05-18T04:38:16Z","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":"359b69f94e895dc64871287108f0175786bd38e63c3a27daf875797ecc891090","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-26T21:14:47Z","title_canon_sha256":"cb8da40115eec4d30755c41f403f2563eb7012f3e18a81dd9727ab3d4d211ff9"},"schema_version":"1.0","source":{"id":"1010.5523","kind":"arxiv","version":1}},"canonical_sha256":"db7cd0e5e5895021109fbfddf662c91456463d58557633ee322947d66077b6ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db7cd0e5e5895021109fbfddf662c91456463d58557633ee322947d66077b6ca","first_computed_at":"2026-05-18T04:38:16.524102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:16.524102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aSt/u68Qs0Aay8pDIoXeUD9nw/t+hLB7Ldc90nEPL4OmHPevWwwr+O130kH73nnaAEEKMVqOZs2JdjMCsjKICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:16.524765Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2723ee25bf7235e4e8b68f0915d77ee8057033e79986b621c90f7effa3bd561f","sha256:7150995e6fe7de15e81dd5229b4cfdd98af844c42f8d95c960723889c232f7d6"],"state_sha256":"012e5ad7fd3789dbbb0064fc373f526f068c3fb96b3a817997bf2913916da0ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rwlcwwgfkgMivvPL3FDGlsY9jr22Pw0yklkawoKmivupj40AIeIULFJ+WPBkdky9oq+a2aTv9wvRfTGwi2CZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:54:13.042461Z","bundle_sha256":"09c6e13b9329507fce857b9a345d85d285f231213c1c02fb3ab4922b1e055ac1"}}