{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Z5JMHJS76STGPM3MJ5DLOLGF3L","short_pith_number":"pith:Z5JMHJS7","canonical_record":{"source":{"id":"1112.1157","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-06T04:51:58Z","cross_cats_sorted":[],"title_canon_sha256":"34a4687ff1c0ca940ee09c8f99e32988ae99a4a1ad18cd0dd0651fb4e2517465","abstract_canon_sha256":"1a80e7b827d976549e50f17025ece4ca016efc33fe819fd6d140e7d5d06a0dfb"},"schema_version":"1.0"},"canonical_sha256":"cf52c3a65ff4a667b36c4f46b72cc5dae6d9ee1c3f5c0c8e4a91111a068e338e","source":{"kind":"arxiv","id":"1112.1157","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1157","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1157v2","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1157","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"pith_short_12","alias_value":"Z5JMHJS76STG","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Z5JMHJS76STGPM3M","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Z5JMHJS7","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Z5JMHJS76STGPM3MJ5DLOLGF3L","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1157","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-06T04:51:58Z","cross_cats_sorted":[],"title_canon_sha256":"34a4687ff1c0ca940ee09c8f99e32988ae99a4a1ad18cd0dd0651fb4e2517465","abstract_canon_sha256":"1a80e7b827d976549e50f17025ece4ca016efc33fe819fd6d140e7d5d06a0dfb"},"schema_version":"1.0"},"canonical_sha256":"cf52c3a65ff4a667b36c4f46b72cc5dae6d9ee1c3f5c0c8e4a91111a068e338e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:54.326980Z","signature_b64":"SB7+glWsVFywWT7Oz2rnGRAWLYk6r0xJYgkGZzxvPQUIVTDloKjdqpA7l3n4zgq0eXE89LyLL9h88rOpjcgMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf52c3a65ff4a667b36c4f46b72cc5dae6d9ee1c3f5c0c8e4a91111a068e338e","last_reissued_at":"2026-05-18T03:22:54.326566Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:54.326566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1157","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":"2026-05-18T03:22:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PriGzAZvb0gBjs7hVMuNqegY3/9fIB56rEaWha14+UdLQKRdOAjB7B46j60cqfUktsXhEWLekQSHNx2DoDATAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:07:19.349192Z"},"content_sha256":"06b821f13443b300ebfd364a9aeaf5506b19bc0bb3aac66b7c46801d05344d53","schema_version":"1.0","event_id":"sha256:06b821f13443b300ebfd364a9aeaf5506b19bc0bb3aac66b7c46801d05344d53"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Z5JMHJS76STGPM3MJ5DLOLGF3L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Epsilon expansion for infrared Yang-Mills theory in Landau gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Axel Weber","submitted_at":"2011-12-06T04:51:58Z","abstract_excerpt":"The study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively. We show that both types of solutions are quantitatively reproduced by applying renormalization group equations of Callan-Symanzik type in an epsilon expansion to the infrared limit of Landau gauge Yang-Mills theory when a mass term for the gluons is added to the action. Only the decoupling solution corresponds to an infrared-stable fixed point in three and f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1157","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":"2026-05-18T03:22:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8UpvIiQSYt8RUozFmApKfMs6hzhd0wPv0ERE50beaZU1z5q23CKdL+LxJUTgEQi4HAnHV7M7gx6KOPuuE6UCBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:07:19.349954Z"},"content_sha256":"eac8ea9567f01142b78f3a74fface5a24d7d7fb05f674d37cf10144dcf37dacf","schema_version":"1.0","event_id":"sha256:eac8ea9567f01142b78f3a74fface5a24d7d7fb05f674d37cf10144dcf37dacf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5JMHJS76STGPM3MJ5DLOLGF3L/bundle.json","state_url":"https://pith.science/pith/Z5JMHJS76STGPM3MJ5DLOLGF3L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5JMHJS76STGPM3MJ5DLOLGF3L/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":"2026-05-25T17:07:19Z","links":{"resolver":"https://pith.science/pith/Z5JMHJS76STGPM3MJ5DLOLGF3L","bundle":"https://pith.science/pith/Z5JMHJS76STGPM3MJ5DLOLGF3L/bundle.json","state":"https://pith.science/pith/Z5JMHJS76STGPM3MJ5DLOLGF3L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5JMHJS76STGPM3MJ5DLOLGF3L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Z5JMHJS76STGPM3MJ5DLOLGF3L","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":"1a80e7b827d976549e50f17025ece4ca016efc33fe819fd6d140e7d5d06a0dfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-06T04:51:58Z","title_canon_sha256":"34a4687ff1c0ca940ee09c8f99e32988ae99a4a1ad18cd0dd0651fb4e2517465"},"schema_version":"1.0","source":{"id":"1112.1157","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1157","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1157v2","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1157","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"pith_short_12","alias_value":"Z5JMHJS76STG","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Z5JMHJS76STGPM3M","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Z5JMHJS7","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:eac8ea9567f01142b78f3a74fface5a24d7d7fb05f674d37cf10144dcf37dacf","target":"graph","created_at":"2026-05-18T03:22:54Z","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 study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively. We show that both types of solutions are quantitatively reproduced by applying renormalization group equations of Callan-Symanzik type in an epsilon expansion to the infrared limit of Landau gauge Yang-Mills theory when a mass term for the gluons is added to the action. Only the decoupling solution corresponds to an infrared-stable fixed point in three and f","authors_text":"Axel Weber","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-06T04:51:58Z","title":"Epsilon expansion for infrared Yang-Mills theory in Landau gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1157","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":"sha256:06b821f13443b300ebfd364a9aeaf5506b19bc0bb3aac66b7c46801d05344d53","target":"record","created_at":"2026-05-18T03:22:54Z","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":"1a80e7b827d976549e50f17025ece4ca016efc33fe819fd6d140e7d5d06a0dfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-06T04:51:58Z","title_canon_sha256":"34a4687ff1c0ca940ee09c8f99e32988ae99a4a1ad18cd0dd0651fb4e2517465"},"schema_version":"1.0","source":{"id":"1112.1157","kind":"arxiv","version":2}},"canonical_sha256":"cf52c3a65ff4a667b36c4f46b72cc5dae6d9ee1c3f5c0c8e4a91111a068e338e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf52c3a65ff4a667b36c4f46b72cc5dae6d9ee1c3f5c0c8e4a91111a068e338e","first_computed_at":"2026-05-18T03:22:54.326566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:54.326566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SB7+glWsVFywWT7Oz2rnGRAWLYk6r0xJYgkGZzxvPQUIVTDloKjdqpA7l3n4zgq0eXE89LyLL9h88rOpjcgMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:54.326980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1157","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06b821f13443b300ebfd364a9aeaf5506b19bc0bb3aac66b7c46801d05344d53","sha256:eac8ea9567f01142b78f3a74fface5a24d7d7fb05f674d37cf10144dcf37dacf"],"state_sha256":"da9b3cf6a68aa23dbc6d7736767e7edfe98549007c07b461b5d8a1e135a3a589"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XqvmGCtV/SznY3/4TrMumLQdfI0tPDLtVa3Wf7zSMGaW9L1rxG4G6ioYhY6Xz/9c5yb2GzMdNVpBAFwFlKEWDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:07:19.353333Z","bundle_sha256":"d1dc5abd149a742b78cdf7a9523467ad5b3353d39bb7c60b2a5b4b972ccb5770"}}