{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NVWYP46FNOE5XYBHIRM4PICEUX","short_pith_number":"pith:NVWYP46F","canonical_record":{"source":{"id":"1010.0596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-04T14:09:10Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"7adf9fc5253cdf03e4dbbf284b8fbcd536705a989be237051ed86c8e19b9ab05","abstract_canon_sha256":"4a52895f4b98f30d536a89203f4bcbf4572553651f12bdcf4e1bfa9245ca6bee"},"schema_version":"1.0"},"canonical_sha256":"6d6d87f3c56b89dbe0274459c7a044a5f11e08b07c445fdd36c0c5773bcd86b2","source":{"kind":"arxiv","id":"1010.0596","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0596","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0596v2","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0596","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"NVWYP46FNOE5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NVWYP46FNOE5XYBH","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NVWYP46F","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NVWYP46FNOE5XYBHIRM4PICEUX","target":"record","payload":{"canonical_record":{"source":{"id":"1010.0596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-04T14:09:10Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"7adf9fc5253cdf03e4dbbf284b8fbcd536705a989be237051ed86c8e19b9ab05","abstract_canon_sha256":"4a52895f4b98f30d536a89203f4bcbf4572553651f12bdcf4e1bfa9245ca6bee"},"schema_version":"1.0"},"canonical_sha256":"6d6d87f3c56b89dbe0274459c7a044a5f11e08b07c445fdd36c0c5773bcd86b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:14.603857Z","signature_b64":"aqSVx5UDpMJVjG7baopN4tRv25zdyseHEDhmOKoZ7HjI4435rYNSrJrSn9tsB6DeisMvt6AwMeCpoGeoRRs6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d6d87f3c56b89dbe0274459c7a044a5f11e08b07c445fdd36c0c5773bcd86b2","last_reissued_at":"2026-05-18T04:20:14.603173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:14.603173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.0596","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":"2026-05-18T04:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ma9zycu2UtszjIy4/2vitz7N8B5ipIfwL/u7NQ2K+AQs4MthEXl4WZP5Qhv9MwJTqdTvOVRSmggQl49q3bUXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:26:10.560607Z"},"content_sha256":"86118bc97f18e2fcaaea9b72e81f04309067b8a33fc2249553d8ed80c36f5236","schema_version":"1.0","event_id":"sha256:86118bc97f18e2fcaaea9b72e81f04309067b8a33fc2249553d8ed80c36f5236"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NVWYP46FNOE5XYBHIRM4PICEUX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chiral symmetry breaking and quark confinement in the nilpotency expansion of QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Fabrizio Palumbo, Sergio Caracciolo","submitted_at":"2010-10-04T14:09:10Z","abstract_excerpt":"We apply to lattice QCD a bosonization method previously developed in which dynamical bosons are generated by time-dependent Bogoliubov transformations. The transformed action can be studied by an expansion in the inverse of the nilpotency index, which is the number of fermionic states in the structure function of composite bosons. When this number diverges the model is solved by the saddle point method which has a variational interpretation. We give a stationary covariant solution for a background matter field whose fluctuations describe mesons. In the saddle point approximations live fermion"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0596","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":""},"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":"2026-05-18T04:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hAxgkuGLseThpquX4SJtDj6wVdmJCIWXV2tRzwG/swR4qDfBJSKsjw6N90y/HS0zbk1GITnr9uolM9hd23XMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:26:10.561229Z"},"content_sha256":"d522b44b4b69275c1c9f3d373b0ccd9aec0d49ed315ae534e53d2f14db3dcab7","schema_version":"1.0","event_id":"sha256:d522b44b4b69275c1c9f3d373b0ccd9aec0d49ed315ae534e53d2f14db3dcab7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NVWYP46FNOE5XYBHIRM4PICEUX/bundle.json","state_url":"https://pith.science/pith/NVWYP46FNOE5XYBHIRM4PICEUX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NVWYP46FNOE5XYBHIRM4PICEUX/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":"2026-06-05T23:26:10Z","links":{"resolver":"https://pith.science/pith/NVWYP46FNOE5XYBHIRM4PICEUX","bundle":"https://pith.science/pith/NVWYP46FNOE5XYBHIRM4PICEUX/bundle.json","state":"https://pith.science/pith/NVWYP46FNOE5XYBHIRM4PICEUX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NVWYP46FNOE5XYBHIRM4PICEUX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NVWYP46FNOE5XYBHIRM4PICEUX","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":"4a52895f4b98f30d536a89203f4bcbf4572553651f12bdcf4e1bfa9245ca6bee","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-04T14:09:10Z","title_canon_sha256":"7adf9fc5253cdf03e4dbbf284b8fbcd536705a989be237051ed86c8e19b9ab05"},"schema_version":"1.0","source":{"id":"1010.0596","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0596","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0596v2","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0596","created_at":"2026-05-18T04:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"NVWYP46FNOE5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NVWYP46FNOE5XYBH","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NVWYP46F","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:d522b44b4b69275c1c9f3d373b0ccd9aec0d49ed315ae534e53d2f14db3dcab7","target":"graph","created_at":"2026-05-18T04:20:14Z","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 apply to lattice QCD a bosonization method previously developed in which dynamical bosons are generated by time-dependent Bogoliubov transformations. The transformed action can be studied by an expansion in the inverse of the nilpotency index, which is the number of fermionic states in the structure function of composite bosons. When this number diverges the model is solved by the saddle point method which has a variational interpretation. We give a stationary covariant solution for a background matter field whose fluctuations describe mesons. In the saddle point approximations live fermion","authors_text":"Fabrizio Palumbo, Sergio Caracciolo","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-04T14:09:10Z","title":"Chiral symmetry breaking and quark confinement in the nilpotency expansion of QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0596","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":"sha256:86118bc97f18e2fcaaea9b72e81f04309067b8a33fc2249553d8ed80c36f5236","target":"record","created_at":"2026-05-18T04:20:14Z","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":"4a52895f4b98f30d536a89203f4bcbf4572553651f12bdcf4e1bfa9245ca6bee","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-10-04T14:09:10Z","title_canon_sha256":"7adf9fc5253cdf03e4dbbf284b8fbcd536705a989be237051ed86c8e19b9ab05"},"schema_version":"1.0","source":{"id":"1010.0596","kind":"arxiv","version":2}},"canonical_sha256":"6d6d87f3c56b89dbe0274459c7a044a5f11e08b07c445fdd36c0c5773bcd86b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d6d87f3c56b89dbe0274459c7a044a5f11e08b07c445fdd36c0c5773bcd86b2","first_computed_at":"2026-05-18T04:20:14.603173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:14.603173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aqSVx5UDpMJVjG7baopN4tRv25zdyseHEDhmOKoZ7HjI4435rYNSrJrSn9tsB6DeisMvt6AwMeCpoGeoRRs6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:14.603857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0596","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86118bc97f18e2fcaaea9b72e81f04309067b8a33fc2249553d8ed80c36f5236","sha256:d522b44b4b69275c1c9f3d373b0ccd9aec0d49ed315ae534e53d2f14db3dcab7"],"state_sha256":"deb134e9e2b0cae3d0f9fe3f682b47124e065ddc0277635937dcfc9993839f34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2WmuArvLVN6+Wr14gKYzL9p/G+aQbaFCrR7Rq7/MCeZ5/TOSUtgvlCMeKAxMqx1Xw1TtIx3Guq/7u3ctvBGGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T23:26:10.564838Z","bundle_sha256":"1fd9f854350ba97da7a964fe3584c181c8fbf453075b1dd1387a82122628a3c0"}}