{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:JKVXOMDHH53K25WN3CTMW72E5H","short_pith_number":"pith:JKVXOMDH","canonical_record":{"source":{"id":"0812.0008","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-01T13:22:56Z","cross_cats_sorted":[],"title_canon_sha256":"a5cf2114bce398c3ac60df08f4fd8801761d5eb2c6723ab92ee0d3a7c1e6ed94","abstract_canon_sha256":"50322c05ae2e35c55c1d5671ec086d1621c724a7c5d02983f11d12dbee98edda"},"schema_version":"1.0"},"canonical_sha256":"4aab7730673f76ad76cdd8a6cb7f44e9eb9f3c2d8afec1e3025fc6d7d3732f3e","source":{"kind":"arxiv","id":"0812.0008","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.0008","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"0812.0008v1","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.0008","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"JKVXOMDHH53K","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"JKVXOMDHH53K25WN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"JKVXOMDH","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:JKVXOMDHH53K25WN3CTMW72E5H","target":"record","payload":{"canonical_record":{"source":{"id":"0812.0008","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-01T13:22:56Z","cross_cats_sorted":[],"title_canon_sha256":"a5cf2114bce398c3ac60df08f4fd8801761d5eb2c6723ab92ee0d3a7c1e6ed94","abstract_canon_sha256":"50322c05ae2e35c55c1d5671ec086d1621c724a7c5d02983f11d12dbee98edda"},"schema_version":"1.0"},"canonical_sha256":"4aab7730673f76ad76cdd8a6cb7f44e9eb9f3c2d8afec1e3025fc6d7d3732f3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:32.435372Z","signature_b64":"nlGvZJd94t1fHAxr72m1bYdq5H+M3f659gVF57y48WVECrjc4Pefu9N4isi5tJbCWaf6WuxQ0c9SOwZTdDRBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4aab7730673f76ad76cdd8a6cb7f44e9eb9f3c2d8afec1e3025fc6d7d3732f3e","last_reissued_at":"2026-05-18T04:19:32.434960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:32.434960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.0008","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":"2026-05-18T04:19:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TtJRyXN6zlZwuE2D8PM9eWeI5fFtfjAPiB9XTk5z4MdlWIS7b/kVpBjsC1vOcccVPfT08BYHfySEmSE4aLaQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T08:11:15.420941Z"},"content_sha256":"34adf2b043e3512a4e9b51d561867edda5a31968e6af8801eb12cdb7aaba99ab","schema_version":"1.0","event_id":"sha256:34adf2b043e3512a4e9b51d561867edda5a31968e6af8801eb12cdb7aaba99ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:JKVXOMDHH53K25WN3CTMW72E5H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Yang-Mills two-loop effective action with wordline methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jan M. Pawlowski, Jian-Hui Zhang, Michael G. Schmidt","submitted_at":"2008-12-01T13:22:56Z","abstract_excerpt":"We derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization procedure of constructing multiloop effective actions in terms of the bosonic worldline path integral. The two-loop beta-function is correctly reproduced. This is the first derivation in the worldline formulation, and serves as a nontrivial check on the consistency of the multiloop generalization procedure in the worldline formalism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.0008","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":"2026-05-18T04:19:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YsT81ow0ocWZaPlBRQbS57nUjV+iHP+rJKZca+HmHldrBXtsoqdr/tiHv9aGdeup+MKrs4gPoElPz7f5E2qkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T08:11:15.422174Z"},"content_sha256":"392b5e246592495b12bfe4b49a6e483a5fbc9482e609a62322814c86868127df","schema_version":"1.0","event_id":"sha256:392b5e246592495b12bfe4b49a6e483a5fbc9482e609a62322814c86868127df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JKVXOMDHH53K25WN3CTMW72E5H/bundle.json","state_url":"https://pith.science/pith/JKVXOMDHH53K25WN3CTMW72E5H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JKVXOMDHH53K25WN3CTMW72E5H/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":"2026-08-20T08:11:15Z","links":{"resolver":"https://pith.science/pith/JKVXOMDHH53K25WN3CTMW72E5H","bundle":"https://pith.science/pith/JKVXOMDHH53K25WN3CTMW72E5H/bundle.json","state":"https://pith.science/pith/JKVXOMDHH53K25WN3CTMW72E5H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JKVXOMDHH53K25WN3CTMW72E5H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:JKVXOMDHH53K25WN3CTMW72E5H","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":"50322c05ae2e35c55c1d5671ec086d1621c724a7c5d02983f11d12dbee98edda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-01T13:22:56Z","title_canon_sha256":"a5cf2114bce398c3ac60df08f4fd8801761d5eb2c6723ab92ee0d3a7c1e6ed94"},"schema_version":"1.0","source":{"id":"0812.0008","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.0008","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"0812.0008v1","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.0008","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"JKVXOMDHH53K","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"JKVXOMDHH53K25WN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"JKVXOMDH","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:392b5e246592495b12bfe4b49a6e483a5fbc9482e609a62322814c86868127df","target":"graph","created_at":"2026-05-18T04:19:32Z","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 derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization procedure of constructing multiloop effective actions in terms of the bosonic worldline path integral. The two-loop beta-function is correctly reproduced. This is the first derivation in the worldline formulation, and serves as a nontrivial check on the consistency of the multiloop generalization procedure in the worldline formalism.","authors_text":"Jan M. Pawlowski, Jian-Hui Zhang, Michael G. Schmidt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-01T13:22:56Z","title":"On the Yang-Mills two-loop effective action with wordline methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.0008","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":"sha256:34adf2b043e3512a4e9b51d561867edda5a31968e6af8801eb12cdb7aaba99ab","target":"record","created_at":"2026-05-18T04:19:32Z","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":"50322c05ae2e35c55c1d5671ec086d1621c724a7c5d02983f11d12dbee98edda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-01T13:22:56Z","title_canon_sha256":"a5cf2114bce398c3ac60df08f4fd8801761d5eb2c6723ab92ee0d3a7c1e6ed94"},"schema_version":"1.0","source":{"id":"0812.0008","kind":"arxiv","version":1}},"canonical_sha256":"4aab7730673f76ad76cdd8a6cb7f44e9eb9f3c2d8afec1e3025fc6d7d3732f3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4aab7730673f76ad76cdd8a6cb7f44e9eb9f3c2d8afec1e3025fc6d7d3732f3e","first_computed_at":"2026-05-18T04:19:32.434960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:32.434960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nlGvZJd94t1fHAxr72m1bYdq5H+M3f659gVF57y48WVECrjc4Pefu9N4isi5tJbCWaf6WuxQ0c9SOwZTdDRBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:32.435372Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.0008","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34adf2b043e3512a4e9b51d561867edda5a31968e6af8801eb12cdb7aaba99ab","sha256:392b5e246592495b12bfe4b49a6e483a5fbc9482e609a62322814c86868127df"],"state_sha256":"79edde4df48e646c68645b253ad30d4a8507ca6ca75e5a20cc53207ac6508596"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GoARbADJiZ/bma6ChsrKNgXK0M7N+qttiQpbWXqywWBb0bOEKCJMRNFJl7/QuLlR8HPh9iAwOZis3vhzkTKSDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T08:11:15.426093Z","bundle_sha256":"eb0835bc8e48ca235a4b9ae8ff510d77a0a3bd1eec0d6f2a6053ab2d2eb1e91a"}}