{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CG2MGGHXBQHJZZTKOAG7NI3D2W","short_pith_number":"pith:CG2MGGHX","canonical_record":{"source":{"id":"1308.0302","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-08-01T19:08:41Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"881b25566bda6d5a272a877311bad5b758506d5a929d3fd9423d53703ffdbb14","abstract_canon_sha256":"a6da1132f2e5b330047acd0491920bfaa136bfc82ff2ed4e73f269ebce5ba450"},"schema_version":"1.0"},"canonical_sha256":"11b4c318f70c0e9ce66a700df6a363d59573bffe4e6fae88ad86674ccd290994","source":{"kind":"arxiv","id":"1308.0302","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0302","created_at":"2026-05-18T01:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0302v2","created_at":"2026-05-18T01:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0302","created_at":"2026-05-18T01:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"CG2MGGHXBQHJ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CG2MGGHXBQHJZZTK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CG2MGGHX","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CG2MGGHXBQHJZZTKOAG7NI3D2W","target":"record","payload":{"canonical_record":{"source":{"id":"1308.0302","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-08-01T19:08:41Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"881b25566bda6d5a272a877311bad5b758506d5a929d3fd9423d53703ffdbb14","abstract_canon_sha256":"a6da1132f2e5b330047acd0491920bfaa136bfc82ff2ed4e73f269ebce5ba450"},"schema_version":"1.0"},"canonical_sha256":"11b4c318f70c0e9ce66a700df6a363d59573bffe4e6fae88ad86674ccd290994","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:25.352676Z","signature_b64":"Ql1tlzmEq/NztJp7xLmZmdexxzhyNOwshVDwgaFbwO3pzczYLHNQXLFRQnS7WMEFbcJAptBVlmWFH4ObBzliDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11b4c318f70c0e9ce66a700df6a363d59573bffe4e6fae88ad86674ccd290994","last_reissued_at":"2026-05-18T01:48:25.351920Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:25.351920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.0302","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nnwmHGcbz7BauSEetnW/6ms0DpDS/in6joYDsye7rsqaFyeJ8kqhCdQhIguk/m2W4pSTcxLLz6BX7qQBZZgfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:06:55.973721Z"},"content_sha256":"8deccb63d89fadf63d88ea5c4d5e28e3e10d938ac6e800ad3f047c1ca59af765","schema_version":"1.0","event_id":"sha256:8deccb63d89fadf63d88ea5c4d5e28e3e10d938ac6e800ad3f047c1ca59af765"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CG2MGGHXBQHJZZTKOAG7NI3D2W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Maximal Abelian Gauge in SU(N) Gauge Theories and Thermal Monopoles for N = 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Claudio Bonati, Massimo D'Elia","submitted_at":"2013-08-01T19:08:41Z","abstract_excerpt":"We discuss and propose a proper extension of the Abelian projection based on the Maximal Abelian Gauge to SU(N) gauge theories. Based, on that, we investigate the properties of thermal Abelian monopoles in the deconfined phase of the SU(3) pure gauge theory. Such properties are very similar to those already found for SU(2), confirming the relevance of the magnetic component close to Tc and the possible condensation of thermal monopoles as the deconfinement temperature is crossed from above. Moreover, we study the correlation functions among monopoles related to different U(1) subgroups, which "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0302","kind":"arxiv","version":2},"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":"2026-05-18T01:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xvQfI9NPzUkHsDUZAad8VpHP5VPgjj7yPCoYVafw0u4ZAcL1ZTwjXLIf4ZQX4tCIzDlgMaYQmBcQTTUQWmfPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:06:55.974061Z"},"content_sha256":"93c8a24b50146460ea9cd8730a3e11e7e2407599b40372c7ef76f590aa4d0c90","schema_version":"1.0","event_id":"sha256:93c8a24b50146460ea9cd8730a3e11e7e2407599b40372c7ef76f590aa4d0c90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CG2MGGHXBQHJZZTKOAG7NI3D2W/bundle.json","state_url":"https://pith.science/pith/CG2MGGHXBQHJZZTKOAG7NI3D2W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CG2MGGHXBQHJZZTKOAG7NI3D2W/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":"2026-06-02T04:06:55Z","links":{"resolver":"https://pith.science/pith/CG2MGGHXBQHJZZTKOAG7NI3D2W","bundle":"https://pith.science/pith/CG2MGGHXBQHJZZTKOAG7NI3D2W/bundle.json","state":"https://pith.science/pith/CG2MGGHXBQHJZZTKOAG7NI3D2W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CG2MGGHXBQHJZZTKOAG7NI3D2W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CG2MGGHXBQHJZZTKOAG7NI3D2W","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":"a6da1132f2e5b330047acd0491920bfaa136bfc82ff2ed4e73f269ebce5ba450","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-08-01T19:08:41Z","title_canon_sha256":"881b25566bda6d5a272a877311bad5b758506d5a929d3fd9423d53703ffdbb14"},"schema_version":"1.0","source":{"id":"1308.0302","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0302","created_at":"2026-05-18T01:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0302v2","created_at":"2026-05-18T01:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0302","created_at":"2026-05-18T01:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"CG2MGGHXBQHJ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CG2MGGHXBQHJZZTK","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CG2MGGHX","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:93c8a24b50146460ea9cd8730a3e11e7e2407599b40372c7ef76f590aa4d0c90","target":"graph","created_at":"2026-05-18T01:48:25Z","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 discuss and propose a proper extension of the Abelian projection based on the Maximal Abelian Gauge to SU(N) gauge theories. Based, on that, we investigate the properties of thermal Abelian monopoles in the deconfined phase of the SU(3) pure gauge theory. Such properties are very similar to those already found for SU(2), confirming the relevance of the magnetic component close to Tc and the possible condensation of thermal monopoles as the deconfinement temperature is crossed from above. Moreover, we study the correlation functions among monopoles related to different U(1) subgroups, which ","authors_text":"Claudio Bonati, Massimo D'Elia","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-08-01T19:08:41Z","title":"The Maximal Abelian Gauge in SU(N) Gauge Theories and Thermal Monopoles for N = 3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0302","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":"sha256:8deccb63d89fadf63d88ea5c4d5e28e3e10d938ac6e800ad3f047c1ca59af765","target":"record","created_at":"2026-05-18T01:48:25Z","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":"a6da1132f2e5b330047acd0491920bfaa136bfc82ff2ed4e73f269ebce5ba450","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-08-01T19:08:41Z","title_canon_sha256":"881b25566bda6d5a272a877311bad5b758506d5a929d3fd9423d53703ffdbb14"},"schema_version":"1.0","source":{"id":"1308.0302","kind":"arxiv","version":2}},"canonical_sha256":"11b4c318f70c0e9ce66a700df6a363d59573bffe4e6fae88ad86674ccd290994","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11b4c318f70c0e9ce66a700df6a363d59573bffe4e6fae88ad86674ccd290994","first_computed_at":"2026-05-18T01:48:25.351920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:25.351920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ql1tlzmEq/NztJp7xLmZmdexxzhyNOwshVDwgaFbwO3pzczYLHNQXLFRQnS7WMEFbcJAptBVlmWFH4ObBzliDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:25.352676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0302","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8deccb63d89fadf63d88ea5c4d5e28e3e10d938ac6e800ad3f047c1ca59af765","sha256:93c8a24b50146460ea9cd8730a3e11e7e2407599b40372c7ef76f590aa4d0c90"],"state_sha256":"f745d0ed64f95194ddb8447f427d1071ecb39c28b9bb73ec6c7d32bb09a11f40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vQqqsU/1SeOHexS6FWwCiWYegVnCpPnZmRUEO67h+alCO1uzHtZO9zcuJW/AlJwJfXTVY5niv+8IZzq/gDuvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:06:55.975951Z","bundle_sha256":"05faf08b2dadcbaeae2f9a42f8468a4cada44b22cbb949743f76a1987746bc97"}}