{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:VG6PAKKB725QEJGXGHSVAIC46J","short_pith_number":"pith:VG6PAKKB","canonical_record":{"source":{"id":"0705.4402","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-30T14:29:35Z","cross_cats_sorted":[],"title_canon_sha256":"e2b59a168476ed62742cbaf64bd1dc95a78164db7f5aaee9a937a5e29c618558","abstract_canon_sha256":"928af81495d10a548c85b4ccb8c8f4d789967414615d3a3d0a0470c79fa49ea3"},"schema_version":"1.0"},"canonical_sha256":"a9bcf02941febb0224d731e550205cf24f8434640daeeb5abc857624aced53cc","source":{"kind":"arxiv","id":"0705.4402","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.4402","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"0705.4402v1","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.4402","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"VG6PAKKB725Q","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"VG6PAKKB725QEJGX","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"VG6PAKKB","created_at":"2026-07-04T15:24:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:VG6PAKKB725QEJGXGHSVAIC46J","target":"record","payload":{"canonical_record":{"source":{"id":"0705.4402","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-30T14:29:35Z","cross_cats_sorted":[],"title_canon_sha256":"e2b59a168476ed62742cbaf64bd1dc95a78164db7f5aaee9a937a5e29c618558","abstract_canon_sha256":"928af81495d10a548c85b4ccb8c8f4d789967414615d3a3d0a0470c79fa49ea3"},"schema_version":"1.0"},"canonical_sha256":"a9bcf02941febb0224d731e550205cf24f8434640daeeb5abc857624aced53cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:24:16.043640Z","signature_b64":"rhCdu2dhvDo1CfBXxdgpd6tLXjaJ5RAwgTq8zFQannHKz7YQpiIG7GfrMwX5CAN3hVbM/mesQN06oyzovsQbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9bcf02941febb0224d731e550205cf24f8434640daeeb5abc857624aced53cc","last_reissued_at":"2026-07-04T15:24:16.043224Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:24:16.043224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0705.4402","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":"2026-07-04T15:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nt0V322qZOOdItvsfz4HvurgQr7EIjVPLIwfPSS787oDPtEt2pZhp0FUZ2TbS8V8H5zj3Br+bWctSoAlfxJ0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:23:31.043835Z"},"content_sha256":"ae8be9e47f7eb0ae522ea97917f09c2eabf248ed55c6b06cd5da52e46015bfd3","schema_version":"1.0","event_id":"sha256:ae8be9e47f7eb0ae522ea97917f09c2eabf248ed55c6b06cd5da52e46015bfd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:VG6PAKKB725QEJGXGHSVAIC46J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C.S. Fischer, F. Llanes-Estrada, K. Schwenzer, R. Alkofer","submitted_at":"2007-05-30T14:29:35Z","abstract_excerpt":"The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented. Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated. Results of the Dyson-Schwinger equations for a finite volume are compared to corresponding lattice data. It is analytically demonstrated that a linear rising potential between heavy quarks can be generated by infrared singularities in the dr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.4402","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0705.4402/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9DSGQXcQZmU5adYtvGW38ffqidr6r1qBLpiSMIkD6uvqvzlxAKKp0sPghQIWIJA33sc+2sDArdwe7QLf2ExfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:23:31.044624Z"},"content_sha256":"8ffcadd9071a881fd0abc96bf114ba0ffd7b6616a086eb63d689f30fd662fdb2","schema_version":"1.0","event_id":"sha256:8ffcadd9071a881fd0abc96bf114ba0ffd7b6616a086eb63d689f30fd662fdb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VG6PAKKB725QEJGXGHSVAIC46J/bundle.json","state_url":"https://pith.science/pith/VG6PAKKB725QEJGXGHSVAIC46J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VG6PAKKB725QEJGXGHSVAIC46J/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":"2026-08-04T04:23:31Z","links":{"resolver":"https://pith.science/pith/VG6PAKKB725QEJGXGHSVAIC46J","bundle":"https://pith.science/pith/VG6PAKKB725QEJGXGHSVAIC46J/bundle.json","state":"https://pith.science/pith/VG6PAKKB725QEJGXGHSVAIC46J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VG6PAKKB725QEJGXGHSVAIC46J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:VG6PAKKB725QEJGXGHSVAIC46J","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":"928af81495d10a548c85b4ccb8c8f4d789967414615d3a3d0a0470c79fa49ea3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-30T14:29:35Z","title_canon_sha256":"e2b59a168476ed62742cbaf64bd1dc95a78164db7f5aaee9a937a5e29c618558"},"schema_version":"1.0","source":{"id":"0705.4402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.4402","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"0705.4402v1","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.4402","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"VG6PAKKB725Q","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"VG6PAKKB725QEJGX","created_at":"2026-07-04T15:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"VG6PAKKB","created_at":"2026-07-04T15:24:16Z"}],"graph_snapshots":[{"event_id":"sha256:8ffcadd9071a881fd0abc96bf114ba0ffd7b6616a086eb63d689f30fd662fdb2","target":"graph","created_at":"2026-07-04T15:24:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0705.4402/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented. Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated. Results of the Dyson-Schwinger equations for a finite volume are compared to corresponding lattice data. It is analytically demonstrated that a linear rising potential between heavy quarks can be generated by infrared singularities in the dr","authors_text":"C.S. Fischer, F. Llanes-Estrada, K. Schwenzer, R. Alkofer","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-05-30T14:29:35Z","title":"What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.4402","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:ae8be9e47f7eb0ae522ea97917f09c2eabf248ed55c6b06cd5da52e46015bfd3","target":"record","created_at":"2026-07-04T15:24:16Z","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":"928af81495d10a548c85b4ccb8c8f4d789967414615d3a3d0a0470c79fa49ea3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-30T14:29:35Z","title_canon_sha256":"e2b59a168476ed62742cbaf64bd1dc95a78164db7f5aaee9a937a5e29c618558"},"schema_version":"1.0","source":{"id":"0705.4402","kind":"arxiv","version":1}},"canonical_sha256":"a9bcf02941febb0224d731e550205cf24f8434640daeeb5abc857624aced53cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9bcf02941febb0224d731e550205cf24f8434640daeeb5abc857624aced53cc","first_computed_at":"2026-07-04T15:24:16.043224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:24:16.043224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rhCdu2dhvDo1CfBXxdgpd6tLXjaJ5RAwgTq8zFQannHKz7YQpiIG7GfrMwX5CAN3hVbM/mesQN06oyzovsQbDg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:24:16.043640Z","signed_message":"canonical_sha256_bytes"},"source_id":"0705.4402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae8be9e47f7eb0ae522ea97917f09c2eabf248ed55c6b06cd5da52e46015bfd3","sha256:8ffcadd9071a881fd0abc96bf114ba0ffd7b6616a086eb63d689f30fd662fdb2"],"state_sha256":"9f564fd7ddedf00038dd6ef0a325f42c0ca7af0335f7d0ecc25ebbf58378f531"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dSvdOJ2NmOfXQbIIYcguCam6EUsTJnM/BrelRNYVkoEPNnQhTO/uNJ8ohl10cnNfk7ir49hMhPzG8PwZq49fBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T04:23:31.051840Z","bundle_sha256":"4e87eb562e605a7ed028bef7d28ef53bd442e64c590f3585c3ab31d2bc3b49fb"}}