{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AKDHIB3E2MLUY65ADD2GAIKYI4","short_pith_number":"pith:AKDHIB3E","canonical_record":{"source":{"id":"1311.5585","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-lat","submitted_at":"2013-11-21T21:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"2770fae20bed83fa80b2eab1558a5bff4d00913e2a1c1210fd976b0b74d5dfae","abstract_canon_sha256":"820a2c092be9166a4ee5379744bb9ebaad5fe6186534aef402c4864b21c56bc8"},"schema_version":"1.0"},"canonical_sha256":"0286740764d3174c7ba018f4602158472add2217a736a326125964909ad84b81","source":{"kind":"arxiv","id":"1311.5585","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5585","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5585v3","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5585","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"pith_short_12","alias_value":"AKDHIB3E2MLU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKDHIB3E2MLUY65A","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKDHIB3E","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AKDHIB3E2MLUY65ADD2GAIKYI4","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5585","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-lat","submitted_at":"2013-11-21T21:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"2770fae20bed83fa80b2eab1558a5bff4d00913e2a1c1210fd976b0b74d5dfae","abstract_canon_sha256":"820a2c092be9166a4ee5379744bb9ebaad5fe6186534aef402c4864b21c56bc8"},"schema_version":"1.0"},"canonical_sha256":"0286740764d3174c7ba018f4602158472add2217a736a326125964909ad84b81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:04.985487Z","signature_b64":"GqrVCJi+f+tZYSiuFRT1sIGQv8i+2XHNRNDXtp/b9wEjMT6cIZaPBzXdgW/6VdF90kX4DXGd8MwsQWbHUOqBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0286740764d3174c7ba018f4602158472add2217a736a326125964909ad84b81","last_reissued_at":"2026-05-18T02:54:04.984935Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:04.984935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5585","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UowUfQKrpVpvEeyj6sbmmp9GdJ+f5T25BzQXmmd9BZW2Z3FBlNVdRu9him3EF7A02jL0XPgn85rOiYSE5WVoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:45:13.402034Z"},"content_sha256":"fd6d474aef95ff2cf73f09799ac07aaad9db46bdbecc88f56ef38b5c7f535e4d","schema_version":"1.0","event_id":"sha256:fd6d474aef95ff2cf73f09799ac07aaad9db46bdbecc88f56ef38b5c7f535e4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AKDHIB3E2MLUY65ADD2GAIKYI4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the $N_f$-dependence of gluonic observables","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Mattia Bruno, Rainer Sommer","submitted_at":"2013-11-21T21:20:01Z","abstract_excerpt":"We compute $t_0$, $w_0$ and the topological susceptibility, defined at finite gradient flow time for two-flavour QCD. The use of three lattice spacings and pion masses between 192 and 500 MeV together with a careful error analysis allow to approach the continuum limit of the two-flavour theory despite significant auto-correlations. A comparison to $N_f=0$ results shows the size of sea quark effects in $t_0^2\\chi$, with $\\chi$ the topological susceptibility, and low energy observables such as $t_0/w_0^2$ and $t_0/r_0^2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5585","kind":"arxiv","version":3},"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":"2026-05-18T02:54:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ifuo7YHUJI1HrVlNQYOahMH25rPA44SpZsnaBW8UscF9Awohr3SLHwIWdXjEHr06YlZo0vxhrHf4Hn7eRhnSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:45:13.402384Z"},"content_sha256":"2d06980a3c464e66c35898a6282b4038ae292c150e6d52e82b83ba6640cb1888","schema_version":"1.0","event_id":"sha256:2d06980a3c464e66c35898a6282b4038ae292c150e6d52e82b83ba6640cb1888"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKDHIB3E2MLUY65ADD2GAIKYI4/bundle.json","state_url":"https://pith.science/pith/AKDHIB3E2MLUY65ADD2GAIKYI4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKDHIB3E2MLUY65ADD2GAIKYI4/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":"2026-06-03T19:45:13Z","links":{"resolver":"https://pith.science/pith/AKDHIB3E2MLUY65ADD2GAIKYI4","bundle":"https://pith.science/pith/AKDHIB3E2MLUY65ADD2GAIKYI4/bundle.json","state":"https://pith.science/pith/AKDHIB3E2MLUY65ADD2GAIKYI4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKDHIB3E2MLUY65ADD2GAIKYI4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AKDHIB3E2MLUY65ADD2GAIKYI4","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":"820a2c092be9166a4ee5379744bb9ebaad5fe6186534aef402c4864b21c56bc8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-lat","submitted_at":"2013-11-21T21:20:01Z","title_canon_sha256":"2770fae20bed83fa80b2eab1558a5bff4d00913e2a1c1210fd976b0b74d5dfae"},"schema_version":"1.0","source":{"id":"1311.5585","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5585","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5585v3","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5585","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"pith_short_12","alias_value":"AKDHIB3E2MLU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKDHIB3E2MLUY65A","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKDHIB3E","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:2d06980a3c464e66c35898a6282b4038ae292c150e6d52e82b83ba6640cb1888","target":"graph","created_at":"2026-05-18T02:54:04Z","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 compute $t_0$, $w_0$ and the topological susceptibility, defined at finite gradient flow time for two-flavour QCD. The use of three lattice spacings and pion masses between 192 and 500 MeV together with a careful error analysis allow to approach the continuum limit of the two-flavour theory despite significant auto-correlations. A comparison to $N_f=0$ results shows the size of sea quark effects in $t_0^2\\chi$, with $\\chi$ the topological susceptibility, and low energy observables such as $t_0/w_0^2$ and $t_0/r_0^2$.","authors_text":"Mattia Bruno, Rainer Sommer","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-lat","submitted_at":"2013-11-21T21:20:01Z","title":"On the $N_f$-dependence of gluonic observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5585","kind":"arxiv","version":3},"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:fd6d474aef95ff2cf73f09799ac07aaad9db46bdbecc88f56ef38b5c7f535e4d","target":"record","created_at":"2026-05-18T02:54:04Z","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":"820a2c092be9166a4ee5379744bb9ebaad5fe6186534aef402c4864b21c56bc8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-lat","submitted_at":"2013-11-21T21:20:01Z","title_canon_sha256":"2770fae20bed83fa80b2eab1558a5bff4d00913e2a1c1210fd976b0b74d5dfae"},"schema_version":"1.0","source":{"id":"1311.5585","kind":"arxiv","version":3}},"canonical_sha256":"0286740764d3174c7ba018f4602158472add2217a736a326125964909ad84b81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0286740764d3174c7ba018f4602158472add2217a736a326125964909ad84b81","first_computed_at":"2026-05-18T02:54:04.984935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:04.984935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GqrVCJi+f+tZYSiuFRT1sIGQv8i+2XHNRNDXtp/b9wEjMT6cIZaPBzXdgW/6VdF90kX4DXGd8MwsQWbHUOqBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:04.985487Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5585","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd6d474aef95ff2cf73f09799ac07aaad9db46bdbecc88f56ef38b5c7f535e4d","sha256:2d06980a3c464e66c35898a6282b4038ae292c150e6d52e82b83ba6640cb1888"],"state_sha256":"c025301b8022f7f7f16d46b119fbe5e7daea5a4b79fdca024467401d589b5ada"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UR39bsra/7IO7/Wvg9/UjScQ4M3gupoYz9GFu2QVdKXHV+S2Rmyn+Qni5W9qvq/Kx5nmHXPrPH0A+ifzn1ZSBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:45:13.404305Z","bundle_sha256":"0cab5e566268fa433fa28acda8401a3bd2d394510d3b4dfef7bc7481ac9e050b"}}