{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FGX7RRQ7WWCYVHGWU6WSNKDC6S","short_pith_number":"pith:FGX7RRQ7","canonical_record":{"source":{"id":"2201.09625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2022-01-24T12:09:09Z","cross_cats_sorted":["physics.comp-ph","quant-ph"],"title_canon_sha256":"b56d5c89d6d34ea213f7c2c96d01a0f6646ad175cff68a1a612c1e041fde2498","abstract_canon_sha256":"70887281182dd6647bc19d686e715155d81c04f8e46e4c7fceab2954012b4d8e"},"schema_version":"1.0"},"canonical_sha256":"29aff8c61fb5858a9cd6a7ad26a862f4a27c3d80a595113c98d9da0875c9623c","source":{"kind":"arxiv","id":"2201.09625","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.09625","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"arxiv_version","alias_value":"2201.09625v1","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.09625","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"pith_short_12","alias_value":"FGX7RRQ7WWCY","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"pith_short_16","alias_value":"FGX7RRQ7WWCYVHGW","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"pith_short_8","alias_value":"FGX7RRQ7","created_at":"2026-07-05T04:06:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FGX7RRQ7WWCYVHGWU6WSNKDC6S","target":"record","payload":{"canonical_record":{"source":{"id":"2201.09625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2022-01-24T12:09:09Z","cross_cats_sorted":["physics.comp-ph","quant-ph"],"title_canon_sha256":"b56d5c89d6d34ea213f7c2c96d01a0f6646ad175cff68a1a612c1e041fde2498","abstract_canon_sha256":"70887281182dd6647bc19d686e715155d81c04f8e46e4c7fceab2954012b4d8e"},"schema_version":"1.0"},"canonical_sha256":"29aff8c61fb5858a9cd6a7ad26a862f4a27c3d80a595113c98d9da0875c9623c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:06:48.618171Z","signature_b64":"6JJ1HweIt5rRW8y14vVywXVBTp+4IKlvDbWYUs6CJKSPUc8gxbKz7Co9OjeYh08iEio3wD4AeyeCRunahgA9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29aff8c61fb5858a9cd6a7ad26a862f4a27c3d80a595113c98d9da0875c9623c","last_reissued_at":"2026-07-05T04:06:48.617624Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:06:48.617624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.09625","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":"2026-07-05T04:06:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pruznxgsKJHNJDMK8XrlBCOhzCiKc/SaPfh3AQ83PNFNlYnPTfCEBcRPb5WJYSWbsYSjHHE6dX9Bvk2IOKgLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T03:28:44.739602Z"},"content_sha256":"62eb7ece08d70ba9b6b95a8be4cd99549af773294e9c42139615b89df95d58d7","schema_version":"1.0","event_id":"sha256:62eb7ece08d70ba9b6b95a8be4cd99549af773294e9c42139615b89df95d58d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FGX7RRQ7WWCYVHGWU6WSNKDC6S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Digitising SU(2) Gauge Fields and the Freezing Transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","quant-ph"],"primary_cat":"hep-lat","authors_text":"Carsten Urbach, Johann Ostmeyer, Karl Jansen, Timo Jakobs, Tobias Hartung","submitted_at":"2022-01-24T12:09:09Z","abstract_excerpt":"Efficient discretisations of gauge groups are crucial with the long term perspective of using tensor networks or quantum computers for lattice gauge theory simulations. For any Lie group other than U$(1)$, however, there is no class of asymptotically dense discrete subgroups. Therefore, discretisations limited to subgroups are bound to lead to a freezing of Monte Carlo simulations at weak couplings, necessitating alternative partitionings without a group structure. In this work we provide a comprehensive analysis of this freezing for all discrete subgroups of SU$(2)$ and different classes of a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.09625","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.09625/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:06:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xjE+BTFJPFz085jwGU4W/g/7zBWPpjyAMSGkmzITPY0GsOZZDalBhYHaczeEgXChpWvKdpYy1z0EUcFMo+d4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T03:28:44.740214Z"},"content_sha256":"f86c7a13cd72ece1db181d0b40bafd4993c59e4956c2750e5be605eea3d10ace","schema_version":"1.0","event_id":"sha256:f86c7a13cd72ece1db181d0b40bafd4993c59e4956c2750e5be605eea3d10ace"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FGX7RRQ7WWCYVHGWU6WSNKDC6S/bundle.json","state_url":"https://pith.science/pith/FGX7RRQ7WWCYVHGWU6WSNKDC6S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FGX7RRQ7WWCYVHGWU6WSNKDC6S/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":"2026-08-03T03:28:44Z","links":{"resolver":"https://pith.science/pith/FGX7RRQ7WWCYVHGWU6WSNKDC6S","bundle":"https://pith.science/pith/FGX7RRQ7WWCYVHGWU6WSNKDC6S/bundle.json","state":"https://pith.science/pith/FGX7RRQ7WWCYVHGWU6WSNKDC6S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FGX7RRQ7WWCYVHGWU6WSNKDC6S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FGX7RRQ7WWCYVHGWU6WSNKDC6S","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":"70887281182dd6647bc19d686e715155d81c04f8e46e4c7fceab2954012b4d8e","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2022-01-24T12:09:09Z","title_canon_sha256":"b56d5c89d6d34ea213f7c2c96d01a0f6646ad175cff68a1a612c1e041fde2498"},"schema_version":"1.0","source":{"id":"2201.09625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.09625","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"arxiv_version","alias_value":"2201.09625v1","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.09625","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"pith_short_12","alias_value":"FGX7RRQ7WWCY","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"pith_short_16","alias_value":"FGX7RRQ7WWCYVHGW","created_at":"2026-07-05T04:06:48Z"},{"alias_kind":"pith_short_8","alias_value":"FGX7RRQ7","created_at":"2026-07-05T04:06:48Z"}],"graph_snapshots":[{"event_id":"sha256:f86c7a13cd72ece1db181d0b40bafd4993c59e4956c2750e5be605eea3d10ace","target":"graph","created_at":"2026-07-05T04:06:48Z","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/2201.09625/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Efficient discretisations of gauge groups are crucial with the long term perspective of using tensor networks or quantum computers for lattice gauge theory simulations. For any Lie group other than U$(1)$, however, there is no class of asymptotically dense discrete subgroups. Therefore, discretisations limited to subgroups are bound to lead to a freezing of Monte Carlo simulations at weak couplings, necessitating alternative partitionings without a group structure. In this work we provide a comprehensive analysis of this freezing for all discrete subgroups of SU$(2)$ and different classes of a","authors_text":"Carsten Urbach, Johann Ostmeyer, Karl Jansen, Timo Jakobs, Tobias Hartung","cross_cats":["physics.comp-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2022-01-24T12:09:09Z","title":"Digitising SU(2) Gauge Fields and the Freezing Transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.09625","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":"sha256:62eb7ece08d70ba9b6b95a8be4cd99549af773294e9c42139615b89df95d58d7","target":"record","created_at":"2026-07-05T04:06:48Z","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":"70887281182dd6647bc19d686e715155d81c04f8e46e4c7fceab2954012b4d8e","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2022-01-24T12:09:09Z","title_canon_sha256":"b56d5c89d6d34ea213f7c2c96d01a0f6646ad175cff68a1a612c1e041fde2498"},"schema_version":"1.0","source":{"id":"2201.09625","kind":"arxiv","version":1}},"canonical_sha256":"29aff8c61fb5858a9cd6a7ad26a862f4a27c3d80a595113c98d9da0875c9623c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29aff8c61fb5858a9cd6a7ad26a862f4a27c3d80a595113c98d9da0875c9623c","first_computed_at":"2026-07-05T04:06:48.617624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:06:48.617624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6JJ1HweIt5rRW8y14vVywXVBTp+4IKlvDbWYUs6CJKSPUc8gxbKz7Co9OjeYh08iEio3wD4AeyeCRunahgA9Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:06:48.618171Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.09625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62eb7ece08d70ba9b6b95a8be4cd99549af773294e9c42139615b89df95d58d7","sha256:f86c7a13cd72ece1db181d0b40bafd4993c59e4956c2750e5be605eea3d10ace"],"state_sha256":"5b4d1a6d2348640c96ca88552ee0a519b71e628e6e1afd725e3f7255bd887d7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vcolo5AZzSH6pjNf82ioxM1Q0foYydJXxC71xPsH9EEwia5dCkcWycOGvxg3tWgEiVBCdZGCa0QZphb0Idx3Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T03:28:44.744259Z","bundle_sha256":"dff0fe6dcedac0e1e43311b46760e1a18e4971812802bff64abf98979327d8f3"}}