{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UEUYG4BL7WCTPBARVJH377722H","short_pith_number":"pith:UEUYG4BL","canonical_record":{"source":{"id":"1201.4157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-01-19T19:34:53Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"ab0aa6790123d266148a2f42dee37f34e331715d1c7a2cb0414bb83572809c71","abstract_canon_sha256":"6d04f3efda32eed8736047129aa45b5166216d372eedc19fa7ae46cc6da811ee"},"schema_version":"1.0"},"canonical_sha256":"a12983702bfd85378411aa4fbffffad1df6db37d9a44f3bf98057aa8709a9a42","source":{"kind":"arxiv","id":"1201.4157","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4157","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4157v1","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4157","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"pith_short_12","alias_value":"UEUYG4BL7WCT","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UEUYG4BL7WCTPBAR","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UEUYG4BL","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UEUYG4BL7WCTPBARVJH377722H","target":"record","payload":{"canonical_record":{"source":{"id":"1201.4157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-01-19T19:34:53Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"ab0aa6790123d266148a2f42dee37f34e331715d1c7a2cb0414bb83572809c71","abstract_canon_sha256":"6d04f3efda32eed8736047129aa45b5166216d372eedc19fa7ae46cc6da811ee"},"schema_version":"1.0"},"canonical_sha256":"a12983702bfd85378411aa4fbffffad1df6db37d9a44f3bf98057aa8709a9a42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:53.079712Z","signature_b64":"ObaE52TxRJPifvO09oManrPhVeAzLW2aaQ9n5K97JyCsWII1WiSwWTur3XNPPlX8w3o7cVfqWYxuRKeZKW3QCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a12983702bfd85378411aa4fbffffad1df6db37d9a44f3bf98057aa8709a9a42","last_reissued_at":"2026-05-18T03:22:53.079225Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:53.079225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.4157","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":"2026-05-18T03:22:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vN0IjWyrN6p+1o3zvuWBEr/ou3ekbDbNVocU3ZJBQE9wPbHlsy4kevL8W1CS0eeEspUU19TJb6leJ6tWU4PFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:09:07.299396Z"},"content_sha256":"df63d3a822d62529b618020f537f88d75647a41cb17971636e8940a92d9814c7","schema_version":"1.0","event_id":"sha256:df63d3a822d62529b618020f537f88d75647a41cb17971636e8940a92d9814c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UEUYG4BL7WCTPBARVJH377722H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Study of the conformal hyperscaling relation through the Schwinger-Dyson equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Akihiro Shibata, Hiroshi Ohki, Kei-ichi Nagai, Koichi Yamawaki, Masafumi Kurachi, Takeshi Yamazaki, Tatsumi Aoyama, Toshihide Maskawa, Yasumichi Aoki","submitted_at":"2012-01-19T19:34:53Z","abstract_excerpt":"We study corrections to the conformal hyperscaling relation in the conformal window of the large Nf QCD by using the ladder Schwinger-Dyson (SD) equation as a concrete dynamical model. From the analytical expression of the solution of the ladder SD equation, we identify the form of the leading mass correction to the hyperscaling relation. We find that the anomalous dimension, when identified through the hyperscaling relation neglecting these corrections, yields a value substantially lower than the one at the fixed point \\gamma_m^* for large mass region. We further study finite-volume effects o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4157","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":"2026-05-18T03:22:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q1J5FihJHwzmtvr22oCqZT2Jq0E0jr8qvhnolhnLVE0JOo6UUVVpx+cimcV8+xN1oWxgQ5UTwFJqq1BqC2HHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:09:07.300124Z"},"content_sha256":"cd2effd791f6dd3caf7185758a61873812738b5baf36a4d03d6d3fa792ae6e01","schema_version":"1.0","event_id":"sha256:cd2effd791f6dd3caf7185758a61873812738b5baf36a4d03d6d3fa792ae6e01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UEUYG4BL7WCTPBARVJH377722H/bundle.json","state_url":"https://pith.science/pith/UEUYG4BL7WCTPBARVJH377722H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UEUYG4BL7WCTPBARVJH377722H/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":"2026-05-31T21:09:07Z","links":{"resolver":"https://pith.science/pith/UEUYG4BL7WCTPBARVJH377722H","bundle":"https://pith.science/pith/UEUYG4BL7WCTPBARVJH377722H/bundle.json","state":"https://pith.science/pith/UEUYG4BL7WCTPBARVJH377722H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UEUYG4BL7WCTPBARVJH377722H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UEUYG4BL7WCTPBARVJH377722H","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":"6d04f3efda32eed8736047129aa45b5166216d372eedc19fa7ae46cc6da811ee","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-01-19T19:34:53Z","title_canon_sha256":"ab0aa6790123d266148a2f42dee37f34e331715d1c7a2cb0414bb83572809c71"},"schema_version":"1.0","source":{"id":"1201.4157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4157","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4157v1","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4157","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"pith_short_12","alias_value":"UEUYG4BL7WCT","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UEUYG4BL7WCTPBAR","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UEUYG4BL","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:cd2effd791f6dd3caf7185758a61873812738b5baf36a4d03d6d3fa792ae6e01","target":"graph","created_at":"2026-05-18T03:22:53Z","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 study corrections to the conformal hyperscaling relation in the conformal window of the large Nf QCD by using the ladder Schwinger-Dyson (SD) equation as a concrete dynamical model. From the analytical expression of the solution of the ladder SD equation, we identify the form of the leading mass correction to the hyperscaling relation. We find that the anomalous dimension, when identified through the hyperscaling relation neglecting these corrections, yields a value substantially lower than the one at the fixed point \\gamma_m^* for large mass region. We further study finite-volume effects o","authors_text":"Akihiro Shibata, Hiroshi Ohki, Kei-ichi Nagai, Koichi Yamawaki, Masafumi Kurachi, Takeshi Yamazaki, Tatsumi Aoyama, Toshihide Maskawa, Yasumichi Aoki","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-01-19T19:34:53Z","title":"Study of the conformal hyperscaling relation through the Schwinger-Dyson equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4157","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:df63d3a822d62529b618020f537f88d75647a41cb17971636e8940a92d9814c7","target":"record","created_at":"2026-05-18T03:22:53Z","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":"6d04f3efda32eed8736047129aa45b5166216d372eedc19fa7ae46cc6da811ee","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-01-19T19:34:53Z","title_canon_sha256":"ab0aa6790123d266148a2f42dee37f34e331715d1c7a2cb0414bb83572809c71"},"schema_version":"1.0","source":{"id":"1201.4157","kind":"arxiv","version":1}},"canonical_sha256":"a12983702bfd85378411aa4fbffffad1df6db37d9a44f3bf98057aa8709a9a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a12983702bfd85378411aa4fbffffad1df6db37d9a44f3bf98057aa8709a9a42","first_computed_at":"2026-05-18T03:22:53.079225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:53.079225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ObaE52TxRJPifvO09oManrPhVeAzLW2aaQ9n5K97JyCsWII1WiSwWTur3XNPPlX8w3o7cVfqWYxuRKeZKW3QCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:53.079712Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df63d3a822d62529b618020f537f88d75647a41cb17971636e8940a92d9814c7","sha256:cd2effd791f6dd3caf7185758a61873812738b5baf36a4d03d6d3fa792ae6e01"],"state_sha256":"c4ced54e64bb910931998fc928885ee379a2a0548ab0be27cd9c8544421c7e0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F+BYuZ3FphqMWgMfFzcDnf8hzz5oCJ834+OVJ/40PAcW7ho/QAjGLKBNmvJEp4hpAo0A1Z2OeqMDRRDYFnpHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:09:07.304129Z","bundle_sha256":"7765bbe4f2c4ae1e736bfa6a0eb6c1db732d28aba19913fe272febb3acb30c30"}}