{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:FJZQCM7ZG2XD23PLFEILFGHUE5","short_pith_number":"pith:FJZQCM7Z","canonical_record":{"source":{"id":"2408.08413","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-15T20:40:49Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"e1be3fd1822d4247024a2d7553b7093c2fcc8673bbb8407788a7c6cd772816ab","abstract_canon_sha256":"5cca699c4364005a299d9bf2c1b6c9a4f523b5b550996419047c0cbbe10d060e"},"schema_version":"1.0"},"canonical_sha256":"2a730133f936ae3d6deb2910b298f42754fc005663555f850e74813751ce102c","source":{"kind":"arxiv","id":"2408.08413","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.08413","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"arxiv_version","alias_value":"2408.08413v1","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.08413","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"pith_short_12","alias_value":"FJZQCM7ZG2XD","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"pith_short_16","alias_value":"FJZQCM7ZG2XD23PL","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"pith_short_8","alias_value":"FJZQCM7Z","created_at":"2026-07-05T08:55:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:FJZQCM7ZG2XD23PLFEILFGHUE5","target":"record","payload":{"canonical_record":{"source":{"id":"2408.08413","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-15T20:40:49Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"e1be3fd1822d4247024a2d7553b7093c2fcc8673bbb8407788a7c6cd772816ab","abstract_canon_sha256":"5cca699c4364005a299d9bf2c1b6c9a4f523b5b550996419047c0cbbe10d060e"},"schema_version":"1.0"},"canonical_sha256":"2a730133f936ae3d6deb2910b298f42754fc005663555f850e74813751ce102c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:55:54.262595Z","signature_b64":"VxdZgkHd5SEbr13bIYJY/O+DX1aAbV+xsqrlW+mqmzp/dmQ6ystMJqDfa004PwMiZ7uRALHA0py35TCz3t+ABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a730133f936ae3d6deb2910b298f42754fc005663555f850e74813751ce102c","last_reissued_at":"2026-07-05T08:55:54.262169Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:55:54.262169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.08413","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":"2026-07-05T08:55:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0h7H5eYmvLKvpEsNTQlQGxd2KAGS3rAmpuwDC80bdJRgrgDVHePYb6WTnoZ/xOULZ64ExJGLmJC+Uf0mgAUPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T10:36:58.772834Z"},"content_sha256":"464af3eb4b9c2a38ed0c3975b1bc97db37dd0b829372ad070847833e6f337ad5","schema_version":"1.0","event_id":"sha256:464af3eb4b9c2a38ed0c3975b1bc97db37dd0b829372ad070847833e6f337ad5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:FJZQCM7ZG2XD23PLFEILFGHUE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards quantitative precision in functional QCD I","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Franz R. Sattler, Friederike Ihssen, Jan M. Pawlowski, Nicolas Wink","submitted_at":"2024-08-15T20:40:49Z","abstract_excerpt":"Functional approaches are the only first principle QCD setup that allow for direct computations at finite density. Predictive power and quantitative reliability of the respective results can only be obtained within a systematic expansion scheme with controlled systematic error estimates. Here we set up such a scheme within the functional renormalisation group (fRG) approach to QCD, aiming for full apparent convergence. In the current work we test this setup, using correlation functions and observables in 2+1 flavour vacuum QCD as a natural benchmark case. While the current work includes many e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.08413","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/2408.08413/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":"2026-07-05T08:55:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V+NS3+ujVv2Pbg7n6BTWxmy6gD9bwQz+5+nDyuPOwCuAaHIGS627BKnFbhYSfs5nAUV88W7kolTKcV69XczuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T10:36:58.773210Z"},"content_sha256":"eae2d907cb52474bb7507a21b66b05842580f7fcb3a7556a11a27718aaa72cf8","schema_version":"1.0","event_id":"sha256:eae2d907cb52474bb7507a21b66b05842580f7fcb3a7556a11a27718aaa72cf8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJZQCM7ZG2XD23PLFEILFGHUE5/bundle.json","state_url":"https://pith.science/pith/FJZQCM7ZG2XD23PLFEILFGHUE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJZQCM7ZG2XD23PLFEILFGHUE5/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":"2026-07-17T10:36:58Z","links":{"resolver":"https://pith.science/pith/FJZQCM7ZG2XD23PLFEILFGHUE5","bundle":"https://pith.science/pith/FJZQCM7ZG2XD23PLFEILFGHUE5/bundle.json","state":"https://pith.science/pith/FJZQCM7ZG2XD23PLFEILFGHUE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJZQCM7ZG2XD23PLFEILFGHUE5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FJZQCM7ZG2XD23PLFEILFGHUE5","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":"5cca699c4364005a299d9bf2c1b6c9a4f523b5b550996419047c0cbbe10d060e","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-15T20:40:49Z","title_canon_sha256":"e1be3fd1822d4247024a2d7553b7093c2fcc8673bbb8407788a7c6cd772816ab"},"schema_version":"1.0","source":{"id":"2408.08413","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.08413","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"arxiv_version","alias_value":"2408.08413v1","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.08413","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"pith_short_12","alias_value":"FJZQCM7ZG2XD","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"pith_short_16","alias_value":"FJZQCM7ZG2XD23PL","created_at":"2026-07-05T08:55:54Z"},{"alias_kind":"pith_short_8","alias_value":"FJZQCM7Z","created_at":"2026-07-05T08:55:54Z"}],"graph_snapshots":[{"event_id":"sha256:eae2d907cb52474bb7507a21b66b05842580f7fcb3a7556a11a27718aaa72cf8","target":"graph","created_at":"2026-07-05T08:55:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2408.08413/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Functional approaches are the only first principle QCD setup that allow for direct computations at finite density. Predictive power and quantitative reliability of the respective results can only be obtained within a systematic expansion scheme with controlled systematic error estimates. Here we set up such a scheme within the functional renormalisation group (fRG) approach to QCD, aiming for full apparent convergence. In the current work we test this setup, using correlation functions and observables in 2+1 flavour vacuum QCD as a natural benchmark case. While the current work includes many e","authors_text":"Franz R. Sattler, Friederike Ihssen, Jan M. Pawlowski, Nicolas Wink","cross_cats":["hep-th","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-15T20:40:49Z","title":"Towards quantitative precision in functional QCD I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.08413","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":"sha256:464af3eb4b9c2a38ed0c3975b1bc97db37dd0b829372ad070847833e6f337ad5","target":"record","created_at":"2026-07-05T08:55:54Z","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":"5cca699c4364005a299d9bf2c1b6c9a4f523b5b550996419047c0cbbe10d060e","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-15T20:40:49Z","title_canon_sha256":"e1be3fd1822d4247024a2d7553b7093c2fcc8673bbb8407788a7c6cd772816ab"},"schema_version":"1.0","source":{"id":"2408.08413","kind":"arxiv","version":1}},"canonical_sha256":"2a730133f936ae3d6deb2910b298f42754fc005663555f850e74813751ce102c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a730133f936ae3d6deb2910b298f42754fc005663555f850e74813751ce102c","first_computed_at":"2026-07-05T08:55:54.262169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:55:54.262169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VxdZgkHd5SEbr13bIYJY/O+DX1aAbV+xsqrlW+mqmzp/dmQ6ystMJqDfa004PwMiZ7uRALHA0py35TCz3t+ABQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:55:54.262595Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.08413","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:464af3eb4b9c2a38ed0c3975b1bc97db37dd0b829372ad070847833e6f337ad5","sha256:eae2d907cb52474bb7507a21b66b05842580f7fcb3a7556a11a27718aaa72cf8"],"state_sha256":"bf9d529341c9ae636ce32a02bb35ce841749594f65fde7b99bacec3fe0f1f366"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g5t3cuyqLQDMHmUnvLetYjLzoszE3DCyLOxP1OuFwLHx5CEJ70O515s/wSsNJ6Wqo9UzmgojbMzH1FilUPerAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T10:36:58.775858Z","bundle_sha256":"bed9973a6f5348e2a3f9193823a6df29dece60daf1686ea245fafdc839cbfd50"}}