{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:QRRATN733HV55MYZWEXLXDQDVN","short_pith_number":"pith:QRRATN73","canonical_record":{"source":{"id":"1511.04914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-11-16T11:09:47Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"566400198500dfb3cfe4282c38aff6b56f366c5c3ba43c10a69a69af5e229bfa","abstract_canon_sha256":"c0599237581f3fb06e3c004765633e3233000a966f24910eee50fe647d295e94"},"schema_version":"1.0"},"canonical_sha256":"846209b7fbd9ebdeb319b12ebb8e03ab631a53f822df36281e56fdbd31aec7f1","source":{"kind":"arxiv","id":"1511.04914","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04914","created_at":"2026-05-18T01:26:51Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04914v1","created_at":"2026-05-18T01:26:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04914","created_at":"2026-05-18T01:26:51Z"},{"alias_kind":"pith_short_12","alias_value":"QRRATN733HV5","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QRRATN733HV55MYZ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QRRATN73","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:QRRATN733HV55MYZWEXLXDQDVN","target":"record","payload":{"canonical_record":{"source":{"id":"1511.04914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-11-16T11:09:47Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"566400198500dfb3cfe4282c38aff6b56f366c5c3ba43c10a69a69af5e229bfa","abstract_canon_sha256":"c0599237581f3fb06e3c004765633e3233000a966f24910eee50fe647d295e94"},"schema_version":"1.0"},"canonical_sha256":"846209b7fbd9ebdeb319b12ebb8e03ab631a53f822df36281e56fdbd31aec7f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:51.312375Z","signature_b64":"ywrNXB6tvaO2GNvV71L1DWJMAkvGe+3KUgDAM8Cq7Q1nYa56x9iEVcCMOxWnjR83g3zgRk2japqbDvG/VtqTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"846209b7fbd9ebdeb319b12ebb8e03ab631a53f822df36281e56fdbd31aec7f1","last_reissued_at":"2026-05-18T01:26:51.311605Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:51.311605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.04914","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":"2026-05-18T01:26:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9GvMbfkYCfPHYWgpz5m9aUfCX9PZ90XjpfxJoe4hAPiTwfs01erc8PuiZOICvx5VPDiBPeTSB/oXiszM0ZD0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:59:53.716286Z"},"content_sha256":"bfe176c32c51111e86db6466e738ed284288982e669b1ed5cd503f8ce9c74866","schema_version":"1.0","event_id":"sha256:bfe176c32c51111e86db6466e738ed284288982e669b1ed5cd503f8ce9c74866"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:QRRATN733HV55MYZWEXLXDQDVN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbative versus non-perturbative decoupling of heavy quarks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Bj\\\"orn Leder, Francesco Knechtli, Jacob Finkenrath, Mattia Bruno, Rainer Sommer","submitted_at":"2015-11-16T11:09:47Z","abstract_excerpt":"We simulate a theory with $N_f=2$ heavy quarks of mass $M$. At energies much smaller than $M$ the heavy quarks decouple and the theory can be described by an effective theory which is a pure gauge theory to leading order in $1/M$. We present results for the mass dependence of ratios such as $t_0(M)/t_0(0)$. We compute these ratios from simulations and compare them to the perturbative prediction. The latter relies on a factorisation formula for the ratios which is valid to leading order in $1/M$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04914","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":"2026-05-18T01:26:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6FgMGsVz98SnXQARaycfCPEVpoBT6qyTePXSQkKQwkc+zGHMYF7xGjp1C80RiLaxC20BWKAhuIJD82eNwSzADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:59:53.716659Z"},"content_sha256":"14e029e056a61aa8737193d43320369d676f9818746e09c5e0f8d2d7a7f8e3ac","schema_version":"1.0","event_id":"sha256:14e029e056a61aa8737193d43320369d676f9818746e09c5e0f8d2d7a7f8e3ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QRRATN733HV55MYZWEXLXDQDVN/bundle.json","state_url":"https://pith.science/pith/QRRATN733HV55MYZWEXLXDQDVN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QRRATN733HV55MYZWEXLXDQDVN/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":"2026-06-04T03:59:53Z","links":{"resolver":"https://pith.science/pith/QRRATN733HV55MYZWEXLXDQDVN","bundle":"https://pith.science/pith/QRRATN733HV55MYZWEXLXDQDVN/bundle.json","state":"https://pith.science/pith/QRRATN733HV55MYZWEXLXDQDVN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QRRATN733HV55MYZWEXLXDQDVN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QRRATN733HV55MYZWEXLXDQDVN","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":"c0599237581f3fb06e3c004765633e3233000a966f24910eee50fe647d295e94","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-11-16T11:09:47Z","title_canon_sha256":"566400198500dfb3cfe4282c38aff6b56f366c5c3ba43c10a69a69af5e229bfa"},"schema_version":"1.0","source":{"id":"1511.04914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04914","created_at":"2026-05-18T01:26:51Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04914v1","created_at":"2026-05-18T01:26:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04914","created_at":"2026-05-18T01:26:51Z"},{"alias_kind":"pith_short_12","alias_value":"QRRATN733HV5","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QRRATN733HV55MYZ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QRRATN73","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:14e029e056a61aa8737193d43320369d676f9818746e09c5e0f8d2d7a7f8e3ac","target":"graph","created_at":"2026-05-18T01:26:51Z","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 simulate a theory with $N_f=2$ heavy quarks of mass $M$. At energies much smaller than $M$ the heavy quarks decouple and the theory can be described by an effective theory which is a pure gauge theory to leading order in $1/M$. We present results for the mass dependence of ratios such as $t_0(M)/t_0(0)$. We compute these ratios from simulations and compare them to the perturbative prediction. The latter relies on a factorisation formula for the ratios which is valid to leading order in $1/M$.","authors_text":"Bj\\\"orn Leder, Francesco Knechtli, Jacob Finkenrath, Mattia Bruno, Rainer Sommer","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-11-16T11:09:47Z","title":"Perturbative versus non-perturbative decoupling of heavy quarks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04914","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:bfe176c32c51111e86db6466e738ed284288982e669b1ed5cd503f8ce9c74866","target":"record","created_at":"2026-05-18T01:26:51Z","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":"c0599237581f3fb06e3c004765633e3233000a966f24910eee50fe647d295e94","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-11-16T11:09:47Z","title_canon_sha256":"566400198500dfb3cfe4282c38aff6b56f366c5c3ba43c10a69a69af5e229bfa"},"schema_version":"1.0","source":{"id":"1511.04914","kind":"arxiv","version":1}},"canonical_sha256":"846209b7fbd9ebdeb319b12ebb8e03ab631a53f822df36281e56fdbd31aec7f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"846209b7fbd9ebdeb319b12ebb8e03ab631a53f822df36281e56fdbd31aec7f1","first_computed_at":"2026-05-18T01:26:51.311605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:51.311605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ywrNXB6tvaO2GNvV71L1DWJMAkvGe+3KUgDAM8Cq7Q1nYa56x9iEVcCMOxWnjR83g3zgRk2japqbDvG/VtqTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:51.312375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfe176c32c51111e86db6466e738ed284288982e669b1ed5cd503f8ce9c74866","sha256:14e029e056a61aa8737193d43320369d676f9818746e09c5e0f8d2d7a7f8e3ac"],"state_sha256":"af0d3bb2d282b729caa7250ad874da93b36793d067fa242bc12ad6d889db537d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vsj4j2YkKgpVAlQxDgbkkm3R7WObmyu4Bm29BM8yfVIiCdlVdMMZZNm9qAONBJmNowhN3st86+uA3WKsX/k9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:59:53.718915Z","bundle_sha256":"bc080576df1897a19f24cbe721c52c7da26c0a0283a722f42a94016dd0cbb223"}}