{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:THEQA6ZZ4E5MXURS2HGULIVBEE","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":"bc690796ade2e811a0f73e6c047451c42b2b78728a29a39f7af1efb49a788f3b","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-12-20T23:55:10Z","title_canon_sha256":"9bd8386e9f5fd87d786c3dbc2389d87203bfc67f64a25d1254896e338db410e5"},"schema_version":"1.0","source":{"id":"hep-ph/0212325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0212325","created_at":"2026-05-18T01:39:06Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0212325v1","created_at":"2026-05-18T01:39:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0212325","created_at":"2026-05-18T01:39:06Z"},{"alias_kind":"pith_short_12","alias_value":"THEQA6ZZ4E5M","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"THEQA6ZZ4E5MXURS","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"THEQA6ZZ","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:7ac5d9683d712e2302cc9f9d9d750849ab4c9f21e642ffcd158d91e4bb0d5f20","target":"graph","created_at":"2026-05-18T01:39:06Z","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":"The lectures review some of the basic concepts relevant for an understanding of the low energy properties of the strong interactions: chiral symmetry, spontaneous symmetry breakdown, Goldstone bosons, quark condensate. The effective field theory used to analyze the low energy structure is briefly sketched. As an illustration, I discuss the implications of the recent data on the decay $K\\to \\pi\\pi e\\nu$ for the magnitude of the quark condensate.","authors_text":"H. Leutwyler (University of Bern)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-12-20T23:55:10Z","title":"Strong Interactions at Low Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0212325","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":"sha256:5a142c1b1e2054ccb0fd6947d0ab8e403c04ed570145952971273496fdf76b5a","target":"record","created_at":"2026-05-18T01:39:06Z","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":"bc690796ade2e811a0f73e6c047451c42b2b78728a29a39f7af1efb49a788f3b","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-12-20T23:55:10Z","title_canon_sha256":"9bd8386e9f5fd87d786c3dbc2389d87203bfc67f64a25d1254896e338db410e5"},"schema_version":"1.0","source":{"id":"hep-ph/0212325","kind":"arxiv","version":1}},"canonical_sha256":"99c9007b39e13acbd232d1cd45a2a121300a87f61fd5377bb00257da7c541943","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99c9007b39e13acbd232d1cd45a2a121300a87f61fd5377bb00257da7c541943","first_computed_at":"2026-05-18T01:39:06.903887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:06.903887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Us3hWrBaxGyMpR0c1escwwallJz3s4oqwl8JVBMxkPaXQX6BBQ7SBbeWmVg2ED65Sla7EUEZEnNBjPWSkE+FBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:06.904442Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0212325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a142c1b1e2054ccb0fd6947d0ab8e403c04ed570145952971273496fdf76b5a","sha256:7ac5d9683d712e2302cc9f9d9d750849ab4c9f21e642ffcd158d91e4bb0d5f20"],"state_sha256":"e9254edbf992780c59eafb5cdd59d9b1cfe14795593e95e98d21760ff708cfb0"}