{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VSKAMCEC3HQPLX3NRXQD6UAEA7","short_pith_number":"pith:VSKAMCEC","canonical_record":{"source":{"id":"1202.4756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-21T21:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f3e570fcc498a816c15f71d0615a34d509525d28b12076a1403e5f21ca8fece4","abstract_canon_sha256":"57852b9b8dd3c7fbccf7ca5d579c1fd5a927bb942b0c540f193315db89c63f28"},"schema_version":"1.0"},"canonical_sha256":"ac94060882d9e0f5df6d8de03f500407d04b1bf31b5f11e77fda198270f55470","source":{"kind":"arxiv","id":"1202.4756","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4756","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4756v2","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4756","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"VSKAMCEC3HQP","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VSKAMCEC3HQPLX3N","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VSKAMCEC","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VSKAMCEC3HQPLX3NRXQD6UAEA7","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-21T21:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f3e570fcc498a816c15f71d0615a34d509525d28b12076a1403e5f21ca8fece4","abstract_canon_sha256":"57852b9b8dd3c7fbccf7ca5d579c1fd5a927bb942b0c540f193315db89c63f28"},"schema_version":"1.0"},"canonical_sha256":"ac94060882d9e0f5df6d8de03f500407d04b1bf31b5f11e77fda198270f55470","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:44.843411Z","signature_b64":"BExrQEhUtYIBjnRhB+SCQx9Nk+GlMKFSmHwzvXBZ4paRndqMIZGTXC6tqenlORd8maiEW5TdXiLYEt7YyiHkDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac94060882d9e0f5df6d8de03f500407d04b1bf31b5f11e77fda198270f55470","last_reissued_at":"2026-05-18T03:05:44.842654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:44.842654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4756","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":"2026-05-18T03:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o+HFWih/gBBKTZMnMfZxk94yUVRN2HVDmcr7Zuz23Kex3woDG/wQn/obItffO97hPx0RbEsR7EFCCvIY8YxuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:54:47.782033Z"},"content_sha256":"f658ec6cbb1ddfa20cfb5cb81db7abc06722ebda295ed6679b0788baad9d1abf","schema_version":"1.0","event_id":"sha256:f658ec6cbb1ddfa20cfb5cb81db7abc06722ebda295ed6679b0788baad9d1abf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VSKAMCEC3HQPLX3NRXQD6UAEA7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"3-loop 3PI effective action for 3D SU(3) QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Guy D. Moore, Marcus Tassler, Mark C. Abraao York","submitted_at":"2012-02-21T21:00:01Z","abstract_excerpt":"The 3PI method is a technique to resum an infinite class of diagrams, which may be useful in studying nonperturbative thermodynamics and dynamics in quantum field theory. But it has never been successfully applied to gauge theories, where there are serious questions about gauge invariance breaking. We show how to perform the 3PI resummation of QCD in 3 Euclidean spacetime dimensions, a warmup problem to the 4 or 3+1 dimensional case. We present the complete details of the technical problems and how they are overcome. We postpone a comparison of gauge invariant correlation functions with their "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4756","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":"2026-05-18T03:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mN3PsnBRzKGj6YzkuliJmQpqtu4ygi4r1TiOKPDYQyo2gpNImSQeClr6chZxwUvgaaLL2Wv3cLT6n4YqldMyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:54:47.782700Z"},"content_sha256":"a021a5ab1c1d11faa2201340ca8ca2381195160786193655957800e4896a4197","schema_version":"1.0","event_id":"sha256:a021a5ab1c1d11faa2201340ca8ca2381195160786193655957800e4896a4197"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSKAMCEC3HQPLX3NRXQD6UAEA7/bundle.json","state_url":"https://pith.science/pith/VSKAMCEC3HQPLX3NRXQD6UAEA7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSKAMCEC3HQPLX3NRXQD6UAEA7/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":"2026-05-30T08:54:47Z","links":{"resolver":"https://pith.science/pith/VSKAMCEC3HQPLX3NRXQD6UAEA7","bundle":"https://pith.science/pith/VSKAMCEC3HQPLX3NRXQD6UAEA7/bundle.json","state":"https://pith.science/pith/VSKAMCEC3HQPLX3NRXQD6UAEA7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSKAMCEC3HQPLX3NRXQD6UAEA7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VSKAMCEC3HQPLX3NRXQD6UAEA7","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":"57852b9b8dd3c7fbccf7ca5d579c1fd5a927bb942b0c540f193315db89c63f28","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-21T21:00:01Z","title_canon_sha256":"f3e570fcc498a816c15f71d0615a34d509525d28b12076a1403e5f21ca8fece4"},"schema_version":"1.0","source":{"id":"1202.4756","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4756","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4756v2","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4756","created_at":"2026-05-18T03:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"VSKAMCEC3HQP","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VSKAMCEC3HQPLX3N","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VSKAMCEC","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:a021a5ab1c1d11faa2201340ca8ca2381195160786193655957800e4896a4197","target":"graph","created_at":"2026-05-18T03:05:44Z","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":"The 3PI method is a technique to resum an infinite class of diagrams, which may be useful in studying nonperturbative thermodynamics and dynamics in quantum field theory. But it has never been successfully applied to gauge theories, where there are serious questions about gauge invariance breaking. We show how to perform the 3PI resummation of QCD in 3 Euclidean spacetime dimensions, a warmup problem to the 4 or 3+1 dimensional case. We present the complete details of the technical problems and how they are overcome. We postpone a comparison of gauge invariant correlation functions with their ","authors_text":"Guy D. Moore, Marcus Tassler, Mark C. Abraao York","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-21T21:00:01Z","title":"3-loop 3PI effective action for 3D SU(3) QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4756","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:f658ec6cbb1ddfa20cfb5cb81db7abc06722ebda295ed6679b0788baad9d1abf","target":"record","created_at":"2026-05-18T03:05:44Z","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":"57852b9b8dd3c7fbccf7ca5d579c1fd5a927bb942b0c540f193315db89c63f28","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-21T21:00:01Z","title_canon_sha256":"f3e570fcc498a816c15f71d0615a34d509525d28b12076a1403e5f21ca8fece4"},"schema_version":"1.0","source":{"id":"1202.4756","kind":"arxiv","version":2}},"canonical_sha256":"ac94060882d9e0f5df6d8de03f500407d04b1bf31b5f11e77fda198270f55470","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac94060882d9e0f5df6d8de03f500407d04b1bf31b5f11e77fda198270f55470","first_computed_at":"2026-05-18T03:05:44.842654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:44.842654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BExrQEhUtYIBjnRhB+SCQx9Nk+GlMKFSmHwzvXBZ4paRndqMIZGTXC6tqenlORd8maiEW5TdXiLYEt7YyiHkDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:44.843411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4756","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f658ec6cbb1ddfa20cfb5cb81db7abc06722ebda295ed6679b0788baad9d1abf","sha256:a021a5ab1c1d11faa2201340ca8ca2381195160786193655957800e4896a4197"],"state_sha256":"86a945ea5261784ae2c607b0d08b3dd49dfe9e804025e9de7b5e5b13e48b287f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QA4w4JGNGUTg7uaOwb3Br+w1v/R9HjfmqEspaPTlD+NPwdp1ska63iIH+USrCtxGRmyA7tMH6fxnDMAQkVuiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:54:47.785806Z","bundle_sha256":"572437422e1abf1ecd3937c907c228cd89f8c106cf076b54f8fa273ac4b62ffb"}}