{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:MV57FB5OW5QRVEONDQH52K6RWT","short_pith_number":"pith:MV57FB5O","canonical_record":{"source":{"id":"hep-ph/9206222","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1992-06-15T19:18:48Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"33f5f8177a2ccf2f657687af640711cf03d1856113d945d634792e2a32febb37","abstract_canon_sha256":"bbc614bf94351e5a49de11d12a7b5928a98d8216ca02b9ae45683269e5ac52f6"},"schema_version":"1.0"},"canonical_sha256":"657bf287aeb7611a91cd1c0fdd2bd1b4c986d3cf4fbfe2f8a2ecef5391014eda","source":{"kind":"arxiv","id":"hep-ph/9206222","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9206222","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9206222v2","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9206222","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"MV57FB5OW5QR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"MV57FB5OW5QRVEON","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"MV57FB5O","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:MV57FB5OW5QRVEONDQH52K6RWT","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9206222","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1992-06-15T19:18:48Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"33f5f8177a2ccf2f657687af640711cf03d1856113d945d634792e2a32febb37","abstract_canon_sha256":"bbc614bf94351e5a49de11d12a7b5928a98d8216ca02b9ae45683269e5ac52f6"},"schema_version":"1.0"},"canonical_sha256":"657bf287aeb7611a91cd1c0fdd2bd1b4c986d3cf4fbfe2f8a2ecef5391014eda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:21.476011Z","signature_b64":"50kDUu0ETuH0mr54uqp9ikkCZOIOoJFXmrwuqOm3hWoX9gzIL4+NWrTUh4j2CT7rr3c1PspQ/VXqhWXDf9BSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"657bf287aeb7611a91cd1c0fdd2bd1b4c986d3cf4fbfe2f8a2ecef5391014eda","last_reissued_at":"2026-05-18T03:07:21.475567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:21.475567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9206222","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":"2026-05-18T03:07:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v8En5Y/wTrj3yKW4NSKKd1aNGeyXr/fE4AGTXFbizkc1epr5SxuI+Cuwm/4fjLKusvxFrsm0vWnUUitVGLS/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:16:24.390391Z"},"content_sha256":"b3e0644a39129ba33d0c5ce4b38a929aa7c044477c35918b3948aa9dc52f5de1","schema_version":"1.0","event_id":"sha256:b3e0644a39129ba33d0c5ce4b38a929aa7c044477c35918b3948aa9dc52f5de1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:MV57FB5OW5QRVEONDQH52K6RWT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analyticity, Crossing Symmetry and the Limits of Chiral Perturbation Theory","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"M. Dugan, M. Golden, R. Sekhar Chivukula","submitted_at":"1992-06-15T19:18:48Z","abstract_excerpt":"The chiral Lagrangian for Goldstone boson scattering is a power series expansion in numbers of derivatives. Each successive term is suppressed by powers of a scale, $\\Lambda_\\chi$, which must be less than of order $4\\pi f/\\sqrt{N}$ where $f$ is the Goldstone boson decay constant and $N$ is the number of flavors. The chiral expansion therefore breaks down at or below $4 \\pi f/\\sqrt{N}$. We argue that the breakdown of the chiral expansion is associated with the appearance of physical states other than Goldstone bosons. Because of crossing symmetry, some ``isospin'' channels will deviate from the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9206222","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":"2026-05-18T03:07:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YZky/Yp/wKl/0NWVPAaBs4UpYrWyLESC3wa6vSKcAQ2bee6DdsQ4kpE9w6FJo7qQbGdbPMDSnSJdcFZHHdErCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:16:24.390924Z"},"content_sha256":"59c1e94509facefca96001fb58fe74057b2ed1c1486f43ab2fa2a673ae92f40e","schema_version":"1.0","event_id":"sha256:59c1e94509facefca96001fb58fe74057b2ed1c1486f43ab2fa2a673ae92f40e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MV57FB5OW5QRVEONDQH52K6RWT/bundle.json","state_url":"https://pith.science/pith/MV57FB5OW5QRVEONDQH52K6RWT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MV57FB5OW5QRVEONDQH52K6RWT/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":"2026-06-27T16:16:24Z","links":{"resolver":"https://pith.science/pith/MV57FB5OW5QRVEONDQH52K6RWT","bundle":"https://pith.science/pith/MV57FB5OW5QRVEONDQH52K6RWT/bundle.json","state":"https://pith.science/pith/MV57FB5OW5QRVEONDQH52K6RWT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MV57FB5OW5QRVEONDQH52K6RWT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:MV57FB5OW5QRVEONDQH52K6RWT","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":"bbc614bf94351e5a49de11d12a7b5928a98d8216ca02b9ae45683269e5ac52f6","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-ph","submitted_at":"1992-06-15T19:18:48Z","title_canon_sha256":"33f5f8177a2ccf2f657687af640711cf03d1856113d945d634792e2a32febb37"},"schema_version":"1.0","source":{"id":"hep-ph/9206222","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9206222","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9206222v2","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9206222","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"MV57FB5OW5QR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"MV57FB5OW5QRVEON","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"MV57FB5O","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:59c1e94509facefca96001fb58fe74057b2ed1c1486f43ab2fa2a673ae92f40e","target":"graph","created_at":"2026-05-18T03:07:21Z","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 chiral Lagrangian for Goldstone boson scattering is a power series expansion in numbers of derivatives. Each successive term is suppressed by powers of a scale, $\\Lambda_\\chi$, which must be less than of order $4\\pi f/\\sqrt{N}$ where $f$ is the Goldstone boson decay constant and $N$ is the number of flavors. The chiral expansion therefore breaks down at or below $4 \\pi f/\\sqrt{N}$. We argue that the breakdown of the chiral expansion is associated with the appearance of physical states other than Goldstone bosons. Because of crossing symmetry, some ``isospin'' channels will deviate from the","authors_text":"M. Dugan, M. Golden, R. Sekhar Chivukula","cross_cats":["hep-lat"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1992-06-15T19:18:48Z","title":"Analyticity, Crossing Symmetry and the Limits of Chiral Perturbation Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9206222","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:b3e0644a39129ba33d0c5ce4b38a929aa7c044477c35918b3948aa9dc52f5de1","target":"record","created_at":"2026-05-18T03:07:21Z","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":"bbc614bf94351e5a49de11d12a7b5928a98d8216ca02b9ae45683269e5ac52f6","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-ph","submitted_at":"1992-06-15T19:18:48Z","title_canon_sha256":"33f5f8177a2ccf2f657687af640711cf03d1856113d945d634792e2a32febb37"},"schema_version":"1.0","source":{"id":"hep-ph/9206222","kind":"arxiv","version":2}},"canonical_sha256":"657bf287aeb7611a91cd1c0fdd2bd1b4c986d3cf4fbfe2f8a2ecef5391014eda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"657bf287aeb7611a91cd1c0fdd2bd1b4c986d3cf4fbfe2f8a2ecef5391014eda","first_computed_at":"2026-05-18T03:07:21.475567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:21.475567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"50kDUu0ETuH0mr54uqp9ikkCZOIOoJFXmrwuqOm3hWoX9gzIL4+NWrTUh4j2CT7rr3c1PspQ/VXqhWXDf9BSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:21.476011Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9206222","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3e0644a39129ba33d0c5ce4b38a929aa7c044477c35918b3948aa9dc52f5de1","sha256:59c1e94509facefca96001fb58fe74057b2ed1c1486f43ab2fa2a673ae92f40e"],"state_sha256":"1a65def1f1f5453ae512b0a611faf99ace6849648f1205a6180a983808e6d87d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HITQPPKOmwWL0ipH2kSO2NCwjmVSdxKdiQt+4xi1LppT4l6GiWpIzrz682dHtG2R3Kwe7fnWcdLjeY5+v//iBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T16:16:24.393555Z","bundle_sha256":"2b23abaea903f310ea87d3696b9f58e150f4d2fe241a82945fc0629905750301"}}