{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BA7F45RLJXY7FMKKQOEN7ASGS2","short_pith_number":"pith:BA7F45RL","canonical_record":{"source":{"id":"1603.07103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T09:33:58Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"91c56ecd098bbd228da31a7a6487130a2fff00c8911d5393c70eba95117ea7de","abstract_canon_sha256":"bec92ce9ec52319b376e789de39eb74961cae50e7eefcd18acad7431899823e4"},"schema_version":"1.0"},"canonical_sha256":"083e5e762b4df1f2b14a8388df824696b4517aa9e4f20c2b4454c4462a39547f","source":{"kind":"arxiv","id":"1603.07103","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07103","created_at":"2026-05-18T00:50:22Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07103v2","created_at":"2026-05-18T00:50:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07103","created_at":"2026-05-18T00:50:22Z"},{"alias_kind":"pith_short_12","alias_value":"BA7F45RLJXY7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BA7F45RLJXY7FMKK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BA7F45RL","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BA7F45RLJXY7FMKKQOEN7ASGS2","target":"record","payload":{"canonical_record":{"source":{"id":"1603.07103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T09:33:58Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"91c56ecd098bbd228da31a7a6487130a2fff00c8911d5393c70eba95117ea7de","abstract_canon_sha256":"bec92ce9ec52319b376e789de39eb74961cae50e7eefcd18acad7431899823e4"},"schema_version":"1.0"},"canonical_sha256":"083e5e762b4df1f2b14a8388df824696b4517aa9e4f20c2b4454c4462a39547f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:22.547245Z","signature_b64":"PQPk1IH7CDqqvwHVO6cLpZLYElqZK4F1gdoSzxwepsBQc6dHAMy4hizxyPDsF82pbPm3ieWsfbEFRLE1IapaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"083e5e762b4df1f2b14a8388df824696b4517aa9e4f20c2b4454c4462a39547f","last_reissued_at":"2026-05-18T00:50:22.546514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:22.546514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.07103","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":"2026-05-18T00:50:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfni3sZE0ZB664h6bPXcp1xrhEfLwa/84mAMAI3Fyzg2LRovqjDCv6kDX0MY1Ro/kCwmcf9Pxhx950PJU6TYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:09:39.108378Z"},"content_sha256":"3e2b0f2cd03fb058cf6aecb18b1b4b0061c1c1cbc47ebd00118b63449093560a","schema_version":"1.0","event_id":"sha256:3e2b0f2cd03fb058cf6aecb18b1b4b0061c1c1cbc47ebd00118b63449093560a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BA7F45RLJXY7FMKKQOEN7ASGS2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chiral sine-Gordon model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Takashi Yanagisawa","submitted_at":"2016-03-23T09:33:58Z","abstract_excerpt":"We investigate the chiral sine-Gordon model using the renormalization group method. The chiral sine-Gordon model is a model for $G$-valued fields and describes a new class of phase transitions, where $G$ is a compact Lie group. We show that the model is renormalizable by means of a perturbation expansion and we derive beta functions of the renormalization group theory. The coefficients of beta functions are represented by the Casimir invariants. The model contains both asymptotically free and ultraviolet strong coupling regions. The beta functions have a zero which is a bifurcation point that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07103","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":"2026-05-18T00:50:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eONg4yTpA1WRQbFMSY6pTifkHQfG7QhGUQzJpQEHTZM8yWrSfer3zTZ5Dbq0J3inKJ434MwDiN018N8sXm83CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:09:39.108733Z"},"content_sha256":"c48f3f4c97ee65b3792f48679afe6065f7b6f3c7418896efb4fef4f062091584","schema_version":"1.0","event_id":"sha256:c48f3f4c97ee65b3792f48679afe6065f7b6f3c7418896efb4fef4f062091584"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BA7F45RLJXY7FMKKQOEN7ASGS2/bundle.json","state_url":"https://pith.science/pith/BA7F45RLJXY7FMKKQOEN7ASGS2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BA7F45RLJXY7FMKKQOEN7ASGS2/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":"2026-06-23T15:09:39Z","links":{"resolver":"https://pith.science/pith/BA7F45RLJXY7FMKKQOEN7ASGS2","bundle":"https://pith.science/pith/BA7F45RLJXY7FMKKQOEN7ASGS2/bundle.json","state":"https://pith.science/pith/BA7F45RLJXY7FMKKQOEN7ASGS2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BA7F45RLJXY7FMKKQOEN7ASGS2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BA7F45RLJXY7FMKKQOEN7ASGS2","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":"bec92ce9ec52319b376e789de39eb74961cae50e7eefcd18acad7431899823e4","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T09:33:58Z","title_canon_sha256":"91c56ecd098bbd228da31a7a6487130a2fff00c8911d5393c70eba95117ea7de"},"schema_version":"1.0","source":{"id":"1603.07103","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07103","created_at":"2026-05-18T00:50:22Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07103v2","created_at":"2026-05-18T00:50:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07103","created_at":"2026-05-18T00:50:22Z"},{"alias_kind":"pith_short_12","alias_value":"BA7F45RLJXY7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BA7F45RLJXY7FMKK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BA7F45RL","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:c48f3f4c97ee65b3792f48679afe6065f7b6f3c7418896efb4fef4f062091584","target":"graph","created_at":"2026-05-18T00:50:22Z","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 investigate the chiral sine-Gordon model using the renormalization group method. The chiral sine-Gordon model is a model for $G$-valued fields and describes a new class of phase transitions, where $G$ is a compact Lie group. We show that the model is renormalizable by means of a perturbation expansion and we derive beta functions of the renormalization group theory. The coefficients of beta functions are represented by the Casimir invariants. The model contains both asymptotically free and ultraviolet strong coupling regions. The beta functions have a zero which is a bifurcation point that ","authors_text":"Takashi Yanagisawa","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T09:33:58Z","title":"Chiral sine-Gordon model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07103","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":"sha256:3e2b0f2cd03fb058cf6aecb18b1b4b0061c1c1cbc47ebd00118b63449093560a","target":"record","created_at":"2026-05-18T00:50:22Z","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":"bec92ce9ec52319b376e789de39eb74961cae50e7eefcd18acad7431899823e4","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T09:33:58Z","title_canon_sha256":"91c56ecd098bbd228da31a7a6487130a2fff00c8911d5393c70eba95117ea7de"},"schema_version":"1.0","source":{"id":"1603.07103","kind":"arxiv","version":2}},"canonical_sha256":"083e5e762b4df1f2b14a8388df824696b4517aa9e4f20c2b4454c4462a39547f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"083e5e762b4df1f2b14a8388df824696b4517aa9e4f20c2b4454c4462a39547f","first_computed_at":"2026-05-18T00:50:22.546514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:22.546514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PQPk1IH7CDqqvwHVO6cLpZLYElqZK4F1gdoSzxwepsBQc6dHAMy4hizxyPDsF82pbPm3ieWsfbEFRLE1IapaAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:22.547245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07103","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e2b0f2cd03fb058cf6aecb18b1b4b0061c1c1cbc47ebd00118b63449093560a","sha256:c48f3f4c97ee65b3792f48679afe6065f7b6f3c7418896efb4fef4f062091584"],"state_sha256":"1ac850549315fa9951ad3cb735f2b0253c8beebb6987faaf1bef423f48617b68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ui06nudLG6RYInKKH1m/jJGUEqFb0+SF2qYKm1qWf/C8xPm/dSg9rV6WEi0PsLXnINW2CCHY7KheskjCsfTlDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:09:39.110830Z","bundle_sha256":"5cc57688ba5f9b7ea8f2988764263aa98268fd9be6117733a8d750fd9307eda5"}}