{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PBJOHGVZAM2CGQWHAHFQFZVRYR","short_pith_number":"pith:PBJOHGVZ","canonical_record":{"source":{"id":"1611.05035","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T15:52:05Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"590833120760bfacb1fb22b4d2a7bb1a461063ea6f657f8031d52fabb1db3eba","abstract_canon_sha256":"86ee3f4753241571764b2d10aed9fc7c91a0be39aff3a830ab23b11656176f72"},"schema_version":"1.0"},"canonical_sha256":"7852e39ab903342342c701cb02e6b1c45550ec96fde67e2ffe74798c4fa12bf8","source":{"kind":"arxiv","id":"1611.05035","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05035","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05035v5","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05035","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"PBJOHGVZAM2C","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PBJOHGVZAM2CGQWH","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PBJOHGVZ","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PBJOHGVZAM2CGQWHAHFQFZVRYR","target":"record","payload":{"canonical_record":{"source":{"id":"1611.05035","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T15:52:05Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"590833120760bfacb1fb22b4d2a7bb1a461063ea6f657f8031d52fabb1db3eba","abstract_canon_sha256":"86ee3f4753241571764b2d10aed9fc7c91a0be39aff3a830ab23b11656176f72"},"schema_version":"1.0"},"canonical_sha256":"7852e39ab903342342c701cb02e6b1c45550ec96fde67e2ffe74798c4fa12bf8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:43.749612Z","signature_b64":"1vZbHyhjmNayHcP3hREvh8Nr83iBIzaduJGEOWRR72Tb1QOKfxWa4ZlftORefu9N8JpYCpWjiicTJIFThht6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7852e39ab903342342c701cb02e6b1c45550ec96fde67e2ffe74798c4fa12bf8","last_reissued_at":"2026-05-17T23:42:43.749007Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:43.749007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.05035","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvNC8p/cPuvVC+DYBMfylD+mpm4Cw7CNP1nBPyxEW6fsN1k+g54mDEbGaDls3iJnXDrqxKW7SGJ+hczB5HZvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:55:13.194344Z"},"content_sha256":"72609d27a38f63e58343af221e58c0fa4b23734f3cf7eab7d089fe6be43f1e4c","schema_version":"1.0","event_id":"sha256:72609d27a38f63e58343af221e58c0fa4b23734f3cf7eab7d089fe6be43f1e4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PBJOHGVZAM2CGQWHAHFQFZVRYR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Quantum Yang Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"hep-th","authors_text":"Ivan Arraut","submitted_at":"2016-11-15T15:52:05Z","abstract_excerpt":"We demonstrate that when there is spontaneous symmetry breaking in any system, relativistic or non-relativistic, the dynamic of the Nambu-Goldstone bosons is governed by the Quantum Yang-Baxter equations. These equations describe the triangular dynamical relations between pairs of Nambu-Goldstone bosons and the degenerate vacuum. We then formulate a theorem and a corollary showing that these relations guarantee the appropriate dispersion relation and the appropriate counting for the Nambu-Goldstone bosons."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05035","kind":"arxiv","version":5},"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":"2026-05-17T23:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"97rv7pGWEX/MFhZAVttCF8v7WEOWgcgNfqI+l2zVfOczhE8c1ejqcapA7ZLDWVxRVqXP4kQHvzH6ZYGK/BO5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:55:13.195039Z"},"content_sha256":"c96e5452c7727c0217aef126e3f2f3766d5fb5c114f554bc1ff5cdf1c973454b","schema_version":"1.0","event_id":"sha256:c96e5452c7727c0217aef126e3f2f3766d5fb5c114f554bc1ff5cdf1c973454b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PBJOHGVZAM2CGQWHAHFQFZVRYR/bundle.json","state_url":"https://pith.science/pith/PBJOHGVZAM2CGQWHAHFQFZVRYR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PBJOHGVZAM2CGQWHAHFQFZVRYR/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":"2026-05-31T10:55:13Z","links":{"resolver":"https://pith.science/pith/PBJOHGVZAM2CGQWHAHFQFZVRYR","bundle":"https://pith.science/pith/PBJOHGVZAM2CGQWHAHFQFZVRYR/bundle.json","state":"https://pith.science/pith/PBJOHGVZAM2CGQWHAHFQFZVRYR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PBJOHGVZAM2CGQWHAHFQFZVRYR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PBJOHGVZAM2CGQWHAHFQFZVRYR","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":"86ee3f4753241571764b2d10aed9fc7c91a0be39aff3a830ab23b11656176f72","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T15:52:05Z","title_canon_sha256":"590833120760bfacb1fb22b4d2a7bb1a461063ea6f657f8031d52fabb1db3eba"},"schema_version":"1.0","source":{"id":"1611.05035","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05035","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05035v5","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05035","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"PBJOHGVZAM2C","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PBJOHGVZAM2CGQWH","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PBJOHGVZ","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:c96e5452c7727c0217aef126e3f2f3766d5fb5c114f554bc1ff5cdf1c973454b","target":"graph","created_at":"2026-05-17T23:42:43Z","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 demonstrate that when there is spontaneous symmetry breaking in any system, relativistic or non-relativistic, the dynamic of the Nambu-Goldstone bosons is governed by the Quantum Yang-Baxter equations. These equations describe the triangular dynamical relations between pairs of Nambu-Goldstone bosons and the degenerate vacuum. We then formulate a theorem and a corollary showing that these relations guarantee the appropriate dispersion relation and the appropriate counting for the Nambu-Goldstone bosons.","authors_text":"Ivan Arraut","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T15:52:05Z","title":"The Quantum Yang Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05035","kind":"arxiv","version":5},"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":"sha256:72609d27a38f63e58343af221e58c0fa4b23734f3cf7eab7d089fe6be43f1e4c","target":"record","created_at":"2026-05-17T23:42:43Z","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":"86ee3f4753241571764b2d10aed9fc7c91a0be39aff3a830ab23b11656176f72","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T15:52:05Z","title_canon_sha256":"590833120760bfacb1fb22b4d2a7bb1a461063ea6f657f8031d52fabb1db3eba"},"schema_version":"1.0","source":{"id":"1611.05035","kind":"arxiv","version":5}},"canonical_sha256":"7852e39ab903342342c701cb02e6b1c45550ec96fde67e2ffe74798c4fa12bf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7852e39ab903342342c701cb02e6b1c45550ec96fde67e2ffe74798c4fa12bf8","first_computed_at":"2026-05-17T23:42:43.749007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:43.749007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1vZbHyhjmNayHcP3hREvh8Nr83iBIzaduJGEOWRR72Tb1QOKfxWa4ZlftORefu9N8JpYCpWjiicTJIFThht6AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:43.749612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05035","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72609d27a38f63e58343af221e58c0fa4b23734f3cf7eab7d089fe6be43f1e4c","sha256:c96e5452c7727c0217aef126e3f2f3766d5fb5c114f554bc1ff5cdf1c973454b"],"state_sha256":"4a0cbd1f7ba6ce830cbb76a4d9bc5ed34ad10d76236f999c910f8b9df462d74e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2aNIr7aLpqTESbIJFbwNvGzveH/hzrreXJfW8JCAttB4NE8dg/ydBgiTZITtd0yguajRwyUF50tySM+kNHo1DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:55:13.198657Z","bundle_sha256":"445f3b09548723f003e4ecc1ff51d3653983d67aa9245c8c7b452805d7d74a6e"}}