{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7G2ISG2BHRZLC5WF6Z727CT4AE","short_pith_number":"pith:7G2ISG2B","canonical_record":{"source":{"id":"1202.4130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-02-19T07:07:56Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"3df27713c6d1f4c8d47a85ae77ebf7ebcca4f735418258e07bd57c5715137d2a","abstract_canon_sha256":"ce3a2f37bca9d3e8f4e42ce029f785f394dfab7cf826ab72237f2b4570ea2c0f"},"schema_version":"1.0"},"canonical_sha256":"f9b4891b413c72b176c5f67faf8a7c0105ba9726e77f09dc23a1daa4fe9ba555","source":{"kind":"arxiv","id":"1202.4130","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4130","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4130v2","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4130","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"7G2ISG2BHRZL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7G2ISG2BHRZLC5WF","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7G2ISG2B","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7G2ISG2BHRZLC5WF6Z727CT4AE","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-02-19T07:07:56Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"3df27713c6d1f4c8d47a85ae77ebf7ebcca4f735418258e07bd57c5715137d2a","abstract_canon_sha256":"ce3a2f37bca9d3e8f4e42ce029f785f394dfab7cf826ab72237f2b4570ea2c0f"},"schema_version":"1.0"},"canonical_sha256":"f9b4891b413c72b176c5f67faf8a7c0105ba9726e77f09dc23a1daa4fe9ba555","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:31.294776Z","signature_b64":"08t19M8Mlgo/qkLW4cGM8RAZV4aaVzeJLJ4AwsPyKeXOskVsH8z53PctnrqV0zQzP1D/Dgl1iRqd7BccXebpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9b4891b413c72b176c5f67faf8a7c0105ba9726e77f09dc23a1daa4fe9ba555","last_reissued_at":"2026-05-18T03:46:31.294032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:31.294032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4130","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":"2026-05-18T03:46:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5lS0UOlD2xFktML4D2nZaleYmdyv0wDo4WpTzHzK5gYXNu4dpGTtrvFCiv97VcZyxHmHkpgvk03If/K+70EcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:35:52.959685Z"},"content_sha256":"0c0a0e1e76c3093087946aa9c894be2a63ae0380a06b8b86f2cf1b425a281e6e","schema_version":"1.0","event_id":"sha256:0c0a0e1e76c3093087946aa9c894be2a63ae0380a06b8b86f2cf1b425a281e6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7G2ISG2BHRZLC5WF6Z727CT4AE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge-Invariant Formalism with a Dirac-mode Expansion for Confinement and Chiral Symmetry Breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Hideo Suganuma (Kyoto U.), Shinya Gongyo, Takumi Iritani","submitted_at":"2012-02-19T07:07:56Z","abstract_excerpt":"Using the eigen-mode of the QCD Dirac operator $\\Slash D=\\gamma^\\mu D^\\mu$, we develop a manifestly gauge-covariant expansion and projection of the QCD operators such as the Wilson loop and the Polyakov loop. With this method, we perform a direct analysis of the correlation between confinement and chiral symmetry breaking in lattice QCD Monte Carlo calculation on $6^4$ at $\\beta$=5.6. Even after removing the low-lying Dirac modes, which are responsible to chiral symmetry breaking, we find that the Wilson loop obeys the area law, and the slope parameter corresponding to the string tension or th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4130","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":"2026-05-18T03:46:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/MBoLcxNo9HTvc1TPJv9X8u6xEYuvrZb1YSUzzc1hnDCC8BrZjyu/EEuzmepbQWMXhv/9JQtm95awGaOeRkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:35:52.960068Z"},"content_sha256":"e3ac58b4dbf730b6df186770ff4764a54b77e2ab81d40e1a8204c42cff41d38c","schema_version":"1.0","event_id":"sha256:e3ac58b4dbf730b6df186770ff4764a54b77e2ab81d40e1a8204c42cff41d38c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7G2ISG2BHRZLC5WF6Z727CT4AE/bundle.json","state_url":"https://pith.science/pith/7G2ISG2BHRZLC5WF6Z727CT4AE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7G2ISG2BHRZLC5WF6Z727CT4AE/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":"2026-05-30T07:35:52Z","links":{"resolver":"https://pith.science/pith/7G2ISG2BHRZLC5WF6Z727CT4AE","bundle":"https://pith.science/pith/7G2ISG2BHRZLC5WF6Z727CT4AE/bundle.json","state":"https://pith.science/pith/7G2ISG2BHRZLC5WF6Z727CT4AE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7G2ISG2BHRZLC5WF6Z727CT4AE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7G2ISG2BHRZLC5WF6Z727CT4AE","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":"ce3a2f37bca9d3e8f4e42ce029f785f394dfab7cf826ab72237f2b4570ea2c0f","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-02-19T07:07:56Z","title_canon_sha256":"3df27713c6d1f4c8d47a85ae77ebf7ebcca4f735418258e07bd57c5715137d2a"},"schema_version":"1.0","source":{"id":"1202.4130","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4130","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4130v2","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4130","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"7G2ISG2BHRZL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7G2ISG2BHRZLC5WF","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7G2ISG2B","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:e3ac58b4dbf730b6df186770ff4764a54b77e2ab81d40e1a8204c42cff41d38c","target":"graph","created_at":"2026-05-18T03:46:31Z","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":"Using the eigen-mode of the QCD Dirac operator $\\Slash D=\\gamma^\\mu D^\\mu$, we develop a manifestly gauge-covariant expansion and projection of the QCD operators such as the Wilson loop and the Polyakov loop. With this method, we perform a direct analysis of the correlation between confinement and chiral symmetry breaking in lattice QCD Monte Carlo calculation on $6^4$ at $\\beta$=5.6. Even after removing the low-lying Dirac modes, which are responsible to chiral symmetry breaking, we find that the Wilson loop obeys the area law, and the slope parameter corresponding to the string tension or th","authors_text":"Hideo Suganuma (Kyoto U.), Shinya Gongyo, Takumi Iritani","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-02-19T07:07:56Z","title":"Gauge-Invariant Formalism with a Dirac-mode Expansion for Confinement and Chiral Symmetry Breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4130","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":"sha256:0c0a0e1e76c3093087946aa9c894be2a63ae0380a06b8b86f2cf1b425a281e6e","target":"record","created_at":"2026-05-18T03:46:31Z","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":"ce3a2f37bca9d3e8f4e42ce029f785f394dfab7cf826ab72237f2b4570ea2c0f","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-02-19T07:07:56Z","title_canon_sha256":"3df27713c6d1f4c8d47a85ae77ebf7ebcca4f735418258e07bd57c5715137d2a"},"schema_version":"1.0","source":{"id":"1202.4130","kind":"arxiv","version":2}},"canonical_sha256":"f9b4891b413c72b176c5f67faf8a7c0105ba9726e77f09dc23a1daa4fe9ba555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9b4891b413c72b176c5f67faf8a7c0105ba9726e77f09dc23a1daa4fe9ba555","first_computed_at":"2026-05-18T03:46:31.294032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:31.294032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"08t19M8Mlgo/qkLW4cGM8RAZV4aaVzeJLJ4AwsPyKeXOskVsH8z53PctnrqV0zQzP1D/Dgl1iRqd7BccXebpAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:31.294776Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4130","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c0a0e1e76c3093087946aa9c894be2a63ae0380a06b8b86f2cf1b425a281e6e","sha256:e3ac58b4dbf730b6df186770ff4764a54b77e2ab81d40e1a8204c42cff41d38c"],"state_sha256":"c87b6127c9d65b1d827c0788b61d71a105f42e6dd7c8acec0c25d7002a51d567"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mu6geHj7z0Oq3f94oQDiZ0n+cBHBK9JABGfzEUiaF+jlBwLhfHYFqD4CqvhoXiGyTM/XVqmiZ17olEbIakR4AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:35:52.962553Z","bundle_sha256":"8e0a4a6ab474a9003b9c132ed2d428d89d20785e8df90d199d45decd3348a5af"}}