{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TQGDXN2CEGD6Q2WGCTLIVOADZJ","short_pith_number":"pith:TQGDXN2C","canonical_record":{"source":{"id":"1203.6538","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-29T14:42:13Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"15329f4d324043cd08508e5af709605864719363bb1f3a2c8e5b4624b29481f9","abstract_canon_sha256":"0634758d1c6df3df1d772934727f16c3ce52dead088479cbe0ea0617976a5da9"},"schema_version":"1.0"},"canonical_sha256":"9c0c3bb7422187e86ac614d68ab803ca40746e1ed3870793ed03c47b062145d6","source":{"kind":"arxiv","id":"1203.6538","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6538","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6538v1","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6538","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"TQGDXN2CEGD6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TQGDXN2CEGD6Q2WG","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TQGDXN2C","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TQGDXN2CEGD6Q2WGCTLIVOADZJ","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6538","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-29T14:42:13Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"15329f4d324043cd08508e5af709605864719363bb1f3a2c8e5b4624b29481f9","abstract_canon_sha256":"0634758d1c6df3df1d772934727f16c3ce52dead088479cbe0ea0617976a5da9"},"schema_version":"1.0"},"canonical_sha256":"9c0c3bb7422187e86ac614d68ab803ca40746e1ed3870793ed03c47b062145d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:00.458439Z","signature_b64":"gn9wlDpBDEsBRYG1cvaltvuWWMDA8or+NRXHOWV5NTBY81X90TBeynrsYHfdJxSsudSzQOjqvPG786iL/j1nBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c0c3bb7422187e86ac614d68ab803ca40746e1ed3870793ed03c47b062145d6","last_reissued_at":"2026-05-18T01:58:00.457920Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:00.457920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6538","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":"2026-05-18T01:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RzQr9RoIhM8oQnPBCFR8Mveuy2L2FD29z1B/cI0/t2bO+pT/hahGmtdPnBsCC+Fr8xWIlIECTsVj/+tuORyPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:38:37.267849Z"},"content_sha256":"c497b12e61fc65f1205d1ded3b7ad9b7dd34962eba35ed3eadb7d80287773193","schema_version":"1.0","event_id":"sha256:c497b12e61fc65f1205d1ded3b7ad9b7dd34962eba35ed3eadb7d80287773193"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TQGDXN2CEGD6Q2WGCTLIVOADZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"D. Bieletzki, K. Lessmeier, O. Philipsen, Y. Schroder","submitted_at":"2012-03-29T14:42:13Z","abstract_excerpt":"Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes $\\sim g^2T$, which correspond to the fields of a 3d Yang-Mills theory. We revisit a gauge invariant resummation scheme to solve this problem by self-consistent mass generation using an auxiliary scalar field, improving over previous attempts in two respects. First, we generalise earlier SU(2) treatments to SU(N). Second, we obtain a gauge independent two-loop gap equation, correcting an error in the literature. The resulting two-loop approximation to the mag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6538","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":"2026-05-18T01:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fo0XQIc6nca0butHDAIio9zLNJggBxy05HdtVeQRPaECxzLFbnA50KHsbXj73fvFHkvrluLJBq0mOue21RWyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:38:37.268552Z"},"content_sha256":"153ebd57e470d40135340a60df2afc489dbeca7c9485af646e6d794de7362108","schema_version":"1.0","event_id":"sha256:153ebd57e470d40135340a60df2afc489dbeca7c9485af646e6d794de7362108"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQGDXN2CEGD6Q2WGCTLIVOADZJ/bundle.json","state_url":"https://pith.science/pith/TQGDXN2CEGD6Q2WGCTLIVOADZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQGDXN2CEGD6Q2WGCTLIVOADZJ/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":"2026-05-30T10:38:37Z","links":{"resolver":"https://pith.science/pith/TQGDXN2CEGD6Q2WGCTLIVOADZJ","bundle":"https://pith.science/pith/TQGDXN2CEGD6Q2WGCTLIVOADZJ/bundle.json","state":"https://pith.science/pith/TQGDXN2CEGD6Q2WGCTLIVOADZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQGDXN2CEGD6Q2WGCTLIVOADZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TQGDXN2CEGD6Q2WGCTLIVOADZJ","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":"0634758d1c6df3df1d772934727f16c3ce52dead088479cbe0ea0617976a5da9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-29T14:42:13Z","title_canon_sha256":"15329f4d324043cd08508e5af709605864719363bb1f3a2c8e5b4624b29481f9"},"schema_version":"1.0","source":{"id":"1203.6538","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6538","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6538v1","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6538","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"TQGDXN2CEGD6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TQGDXN2CEGD6Q2WG","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TQGDXN2C","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:153ebd57e470d40135340a60df2afc489dbeca7c9485af646e6d794de7362108","target":"graph","created_at":"2026-05-18T01:58:00Z","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":"Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes $\\sim g^2T$, which correspond to the fields of a 3d Yang-Mills theory. We revisit a gauge invariant resummation scheme to solve this problem by self-consistent mass generation using an auxiliary scalar field, improving over previous attempts in two respects. First, we generalise earlier SU(2) treatments to SU(N). Second, we obtain a gauge independent two-loop gap equation, correcting an error in the literature. The resulting two-loop approximation to the mag","authors_text":"D. Bieletzki, K. Lessmeier, O. Philipsen, Y. Schroder","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-29T14:42:13Z","title":"Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6538","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:c497b12e61fc65f1205d1ded3b7ad9b7dd34962eba35ed3eadb7d80287773193","target":"record","created_at":"2026-05-18T01:58:00Z","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":"0634758d1c6df3df1d772934727f16c3ce52dead088479cbe0ea0617976a5da9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-29T14:42:13Z","title_canon_sha256":"15329f4d324043cd08508e5af709605864719363bb1f3a2c8e5b4624b29481f9"},"schema_version":"1.0","source":{"id":"1203.6538","kind":"arxiv","version":1}},"canonical_sha256":"9c0c3bb7422187e86ac614d68ab803ca40746e1ed3870793ed03c47b062145d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c0c3bb7422187e86ac614d68ab803ca40746e1ed3870793ed03c47b062145d6","first_computed_at":"2026-05-18T01:58:00.457920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:00.457920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gn9wlDpBDEsBRYG1cvaltvuWWMDA8or+NRXHOWV5NTBY81X90TBeynrsYHfdJxSsudSzQOjqvPG786iL/j1nBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:00.458439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6538","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c497b12e61fc65f1205d1ded3b7ad9b7dd34962eba35ed3eadb7d80287773193","sha256:153ebd57e470d40135340a60df2afc489dbeca7c9485af646e6d794de7362108"],"state_sha256":"659cf25f65c613506e1687bf8b86f30b55b4d5dd7583cb6777f6baca933516ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gUo0tzcGWc9uvYu5Dub/ztYglm23zRQHOMDTOoTU4SY3kK2F62bEjDC+oMDWnaxITgype5Fpr7K69JxFPDPSAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:38:37.271547Z","bundle_sha256":"5d08d5837cde8e9c908df4135db49192b366f77f5efc3bd610fe0d4931ff24c6"}}