{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:NXB6R2VDGHHXW6F2J66RMD5XGK","short_pith_number":"pith:NXB6R2VD","canonical_record":{"source":{"id":"1905.06141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-15T12:42:49Z","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"title_canon_sha256":"167b32a7fc6d8762129cd9c5dcfd9686b897fd8c208d9435819de3780345c0fb","abstract_canon_sha256":"15529d5cb2e47d339e107aa443ccd09851100184555d216e7f26273d0aecb5ad"},"schema_version":"1.0"},"canonical_sha256":"6dc3e8eaa331cf7b78ba4fbd160fb732b1644517260ce201d95ec6e2cfa8c23d","source":{"kind":"arxiv","id":"1905.06141","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06141","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06141v2","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06141","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"NXB6R2VDGHHX","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"pith_short_16","alias_value":"NXB6R2VDGHHXW6F2","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"pith_short_8","alias_value":"NXB6R2VD","created_at":"2026-07-05T00:41:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:NXB6R2VDGHHXW6F2J66RMD5XGK","target":"record","payload":{"canonical_record":{"source":{"id":"1905.06141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-15T12:42:49Z","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"title_canon_sha256":"167b32a7fc6d8762129cd9c5dcfd9686b897fd8c208d9435819de3780345c0fb","abstract_canon_sha256":"15529d5cb2e47d339e107aa443ccd09851100184555d216e7f26273d0aecb5ad"},"schema_version":"1.0"},"canonical_sha256":"6dc3e8eaa331cf7b78ba4fbd160fb732b1644517260ce201d95ec6e2cfa8c23d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:41:28.307269Z","signature_b64":"3A2gTtZQV92DzCTce3Z8VbrzUlowciUXoNZ4AMqn560XjI2KYGIQiw3Ld1xUpAu35a+yDb/mTmSCffMVLEErDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6dc3e8eaa331cf7b78ba4fbd160fb732b1644517260ce201d95ec6e2cfa8c23d","last_reissued_at":"2026-07-05T00:41:28.306748Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:41:28.306748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.06141","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QztQ0vWU/eta87M+cKciwv8zxzBCgGKXE/Udhq5OhWYa8lMGAi1TakzkkqCe1lFQpwZGQ9NMSDXWih1uBwQLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:54:22.356450Z"},"content_sha256":"3bcbb223c88d7be86037415f26f0ad9c4960d799b752188544e172c890ace72c","schema_version":"1.0","event_id":"sha256:3bcbb223c88d7be86037415f26f0ad9c4960d799b752188544e172c890ace72c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:NXB6R2VDGHHXW6F2J66RMD5XGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aspects of the QCD $\\theta$-vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Feng-Kun Guo, Thomas Vonk, Ulf-G. Mei{\\ss}ner","submitted_at":"2019-05-15T12:42:49Z","abstract_excerpt":"This paper addresses two aspects concerning the $\\theta$-vacuum of Quantum Chromodynamics. First, large-$N_c$ chiral perturbation theory is used to calculate the first two non-trivial cumulants of the distribution of the winding number, i.\\,e. the topological susceptibility, $\\chi_\\mathrm{top}$, and the fourth cumulant, $c_4$, up to next-to-leading order. Their large-$N_c$ scaling is discussed, and compared to lattice results. It is found that $\\chi_\\mathrm{top}=\\mathcal{O}(N_c^0)$, as known before, and $c_4=\\mathcal{O}(N_c^{-3})$, correcting the assumption of $\\mathcal{O}(N_c^{-2})$ in the li"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06141","kind":"arxiv","version":2},"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/1905.06141/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":"2026-07-05T00:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"svAxs6snGoIoDaf3/B71qc0LYzkwbmpCIz+LI2EGdMBkXkPyAFsjHtONZfqRoY7azBgIA8VGX1kDxsFxglvdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:54:22.356991Z"},"content_sha256":"8835c7ade064b090911d836ae3f7e9332fb1328ede1392565e5b5f69a21103ea","schema_version":"1.0","event_id":"sha256:8835c7ade064b090911d836ae3f7e9332fb1328ede1392565e5b5f69a21103ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NXB6R2VDGHHXW6F2J66RMD5XGK/bundle.json","state_url":"https://pith.science/pith/NXB6R2VDGHHXW6F2J66RMD5XGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NXB6R2VDGHHXW6F2J66RMD5XGK/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":"2026-08-05T09:54:22Z","links":{"resolver":"https://pith.science/pith/NXB6R2VDGHHXW6F2J66RMD5XGK","bundle":"https://pith.science/pith/NXB6R2VDGHHXW6F2J66RMD5XGK/bundle.json","state":"https://pith.science/pith/NXB6R2VDGHHXW6F2J66RMD5XGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NXB6R2VDGHHXW6F2J66RMD5XGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NXB6R2VDGHHXW6F2J66RMD5XGK","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":"15529d5cb2e47d339e107aa443ccd09851100184555d216e7f26273d0aecb5ad","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-15T12:42:49Z","title_canon_sha256":"167b32a7fc6d8762129cd9c5dcfd9686b897fd8c208d9435819de3780345c0fb"},"schema_version":"1.0","source":{"id":"1905.06141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06141","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06141v2","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06141","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"NXB6R2VDGHHX","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"pith_short_16","alias_value":"NXB6R2VDGHHXW6F2","created_at":"2026-07-05T00:41:28Z"},{"alias_kind":"pith_short_8","alias_value":"NXB6R2VD","created_at":"2026-07-05T00:41:28Z"}],"graph_snapshots":[{"event_id":"sha256:8835c7ade064b090911d836ae3f7e9332fb1328ede1392565e5b5f69a21103ea","target":"graph","created_at":"2026-07-05T00:41:28Z","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/1905.06141/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper addresses two aspects concerning the $\\theta$-vacuum of Quantum Chromodynamics. First, large-$N_c$ chiral perturbation theory is used to calculate the first two non-trivial cumulants of the distribution of the winding number, i.\\,e. the topological susceptibility, $\\chi_\\mathrm{top}$, and the fourth cumulant, $c_4$, up to next-to-leading order. Their large-$N_c$ scaling is discussed, and compared to lattice results. It is found that $\\chi_\\mathrm{top}=\\mathcal{O}(N_c^0)$, as known before, and $c_4=\\mathcal{O}(N_c^{-3})$, correcting the assumption of $\\mathcal{O}(N_c^{-2})$ in the li","authors_text":"Feng-Kun Guo, Thomas Vonk, Ulf-G. Mei{\\ss}ner","cross_cats":["hep-lat","hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-15T12:42:49Z","title":"Aspects of the QCD $\\theta$-vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06141","kind":"arxiv","version":2},"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":"sha256:3bcbb223c88d7be86037415f26f0ad9c4960d799b752188544e172c890ace72c","target":"record","created_at":"2026-07-05T00:41:28Z","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":"15529d5cb2e47d339e107aa443ccd09851100184555d216e7f26273d0aecb5ad","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-15T12:42:49Z","title_canon_sha256":"167b32a7fc6d8762129cd9c5dcfd9686b897fd8c208d9435819de3780345c0fb"},"schema_version":"1.0","source":{"id":"1905.06141","kind":"arxiv","version":2}},"canonical_sha256":"6dc3e8eaa331cf7b78ba4fbd160fb732b1644517260ce201d95ec6e2cfa8c23d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dc3e8eaa331cf7b78ba4fbd160fb732b1644517260ce201d95ec6e2cfa8c23d","first_computed_at":"2026-07-05T00:41:28.306748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:41:28.306748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3A2gTtZQV92DzCTce3Z8VbrzUlowciUXoNZ4AMqn560XjI2KYGIQiw3Ld1xUpAu35a+yDb/mTmSCffMVLEErDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:41:28.307269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.06141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bcbb223c88d7be86037415f26f0ad9c4960d799b752188544e172c890ace72c","sha256:8835c7ade064b090911d836ae3f7e9332fb1328ede1392565e5b5f69a21103ea"],"state_sha256":"c9741e900b06ef25ca53d01a237fa3f9c7bf82c359605bb20709dc6c7fa25028"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EkdssNKvgSjGveO3wntoiPbyhg/GfWEvy7KiJKmKGwr8yEr2I2ufFA+Eba9kqxqcg7i9E0I6KzL9E3JpXV05BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T09:54:22.361277Z","bundle_sha256":"fdf1ceea80be0d9377c1ea3022a7e57ec5297663114345671bd23203e35faf54"}}