{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GFUQV3T5XDO7EQE6IKOUZJQISU","short_pith_number":"pith:GFUQV3T5","canonical_record":{"source":{"id":"1110.4543","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-10-20T14:39:59Z","cross_cats_sorted":[],"title_canon_sha256":"e799e2c37066efc8f2dbb17e26a3b5d88ffcff0e3a805a9153777b4daa92f370","abstract_canon_sha256":"93a1e8ef4f5a61c634f309a871be302961932ddaa15edc0791969058324b1829"},"schema_version":"1.0"},"canonical_sha256":"31690aee7db8ddf2409e429d4ca60895263cc158ac45806be4f9d575296ef0e6","source":{"kind":"arxiv","id":"1110.4543","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4543","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4543v1","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4543","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"pith_short_12","alias_value":"GFUQV3T5XDO7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GFUQV3T5XDO7EQE6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GFUQV3T5","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GFUQV3T5XDO7EQE6IKOUZJQISU","target":"record","payload":{"canonical_record":{"source":{"id":"1110.4543","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-10-20T14:39:59Z","cross_cats_sorted":[],"title_canon_sha256":"e799e2c37066efc8f2dbb17e26a3b5d88ffcff0e3a805a9153777b4daa92f370","abstract_canon_sha256":"93a1e8ef4f5a61c634f309a871be302961932ddaa15edc0791969058324b1829"},"schema_version":"1.0"},"canonical_sha256":"31690aee7db8ddf2409e429d4ca60895263cc158ac45806be4f9d575296ef0e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:36.531911Z","signature_b64":"yuAP3ePCgwK91UL9ognW/0wLnbv+NT72oqMgYI9NlgeaXxmoC2JUaa+AbOaylTTQkHwuV5gkUwPwldevq129Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31690aee7db8ddf2409e429d4ca60895263cc158ac45806be4f9d575296ef0e6","last_reissued_at":"2026-05-18T04:10:36.531240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:36.531240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.4543","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":"2026-05-18T04:10:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HVW76ULg5ro3brgt8eeHGrOLhZLc5UuAiWD8QIdCpahgZrng4aDuje95W5TDNwWHKEmpuNSw82NAzXrIpKcZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:09:17.718496Z"},"content_sha256":"57852d904afc091bb6590dc823343227ebfa2b2146f2c7ef43db72d47006b09a","schema_version":"1.0","event_id":"sha256:57852d904afc091bb6590dc823343227ebfa2b2146f2c7ef43db72d47006b09a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GFUQV3T5XDO7EQE6IKOUZJQISU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical study of large-N phase transition of smeared Wilson loops in 4D pure YM theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Herbert Neuberger, Robert Lohmayer","submitted_at":"2011-10-20T14:39:59Z","abstract_excerpt":"In Euclidean four-dimensional SU(N) pure gauge theory, eigenvalue distributions of Wilson loop parallel transport matrices around closed spacetime curves show non-analytic behavior (a 'large-N phase transition') at a critical size of the curve. We focus mainly on an observable composed of traces of the Wilson loop operator in all totally antisymmetric representations, which is regularized with the help of smearing. By studying sequences of square Wilson loops on a hypercubic lattice with standard Wilson action, it is shown that this observable has a nontrivial continuum limit as a function of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4543","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":"2026-05-18T04:10:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"35UX6mcJKoMLj6tepqtEzaCmth5KE7PWiWilMS5nlkvpMXEd6YSyP5aJi0nO3BMkihper39GHITcywq6ZrKqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:09:17.718846Z"},"content_sha256":"e9adbcf1a1eafb338c271d2a240dd407933187bf5b726b04fbceb89590052bd4","schema_version":"1.0","event_id":"sha256:e9adbcf1a1eafb338c271d2a240dd407933187bf5b726b04fbceb89590052bd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFUQV3T5XDO7EQE6IKOUZJQISU/bundle.json","state_url":"https://pith.science/pith/GFUQV3T5XDO7EQE6IKOUZJQISU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFUQV3T5XDO7EQE6IKOUZJQISU/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":"2026-05-28T10:09:17Z","links":{"resolver":"https://pith.science/pith/GFUQV3T5XDO7EQE6IKOUZJQISU","bundle":"https://pith.science/pith/GFUQV3T5XDO7EQE6IKOUZJQISU/bundle.json","state":"https://pith.science/pith/GFUQV3T5XDO7EQE6IKOUZJQISU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFUQV3T5XDO7EQE6IKOUZJQISU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GFUQV3T5XDO7EQE6IKOUZJQISU","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":"93a1e8ef4f5a61c634f309a871be302961932ddaa15edc0791969058324b1829","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-10-20T14:39:59Z","title_canon_sha256":"e799e2c37066efc8f2dbb17e26a3b5d88ffcff0e3a805a9153777b4daa92f370"},"schema_version":"1.0","source":{"id":"1110.4543","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4543","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4543v1","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4543","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"pith_short_12","alias_value":"GFUQV3T5XDO7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GFUQV3T5XDO7EQE6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GFUQV3T5","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:e9adbcf1a1eafb338c271d2a240dd407933187bf5b726b04fbceb89590052bd4","target":"graph","created_at":"2026-05-18T04:10:36Z","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":"In Euclidean four-dimensional SU(N) pure gauge theory, eigenvalue distributions of Wilson loop parallel transport matrices around closed spacetime curves show non-analytic behavior (a 'large-N phase transition') at a critical size of the curve. We focus mainly on an observable composed of traces of the Wilson loop operator in all totally antisymmetric representations, which is regularized with the help of smearing. By studying sequences of square Wilson loops on a hypercubic lattice with standard Wilson action, it is shown that this observable has a nontrivial continuum limit as a function of ","authors_text":"Herbert Neuberger, Robert Lohmayer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-10-20T14:39:59Z","title":"Numerical study of large-N phase transition of smeared Wilson loops in 4D pure YM theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4543","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":"sha256:57852d904afc091bb6590dc823343227ebfa2b2146f2c7ef43db72d47006b09a","target":"record","created_at":"2026-05-18T04:10:36Z","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":"93a1e8ef4f5a61c634f309a871be302961932ddaa15edc0791969058324b1829","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-10-20T14:39:59Z","title_canon_sha256":"e799e2c37066efc8f2dbb17e26a3b5d88ffcff0e3a805a9153777b4daa92f370"},"schema_version":"1.0","source":{"id":"1110.4543","kind":"arxiv","version":1}},"canonical_sha256":"31690aee7db8ddf2409e429d4ca60895263cc158ac45806be4f9d575296ef0e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31690aee7db8ddf2409e429d4ca60895263cc158ac45806be4f9d575296ef0e6","first_computed_at":"2026-05-18T04:10:36.531240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:36.531240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yuAP3ePCgwK91UL9ognW/0wLnbv+NT72oqMgYI9NlgeaXxmoC2JUaa+AbOaylTTQkHwuV5gkUwPwldevq129Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:36.531911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4543","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57852d904afc091bb6590dc823343227ebfa2b2146f2c7ef43db72d47006b09a","sha256:e9adbcf1a1eafb338c271d2a240dd407933187bf5b726b04fbceb89590052bd4"],"state_sha256":"713c91870a6e1542d20849d6ef36ae53927dbc1120a2847cbe59cf098fe0f699"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dmS0mxv0lIiDznaV0kMs09c7xqjjOpqe7cSi2yp1t+CzxDq0SXrHxtvaykD6RFD2BE/ftZYeXGOfOwlUJhODAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:09:17.720722Z","bundle_sha256":"77779cf1dc8a6c1098f0f39bf8b6310721d5e6653c320af5c95cbbb6718f0591"}}