{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CLUETS4X2RQTGA2JE3HY73JN4L","short_pith_number":"pith:CLUETS4X","canonical_record":{"source":{"id":"1305.3792","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-16T13:12:15Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"4723e78905eda03ac673541905791e707ea7b0016e215ee18702431f2e03735f","abstract_canon_sha256":"3ef773be283b25d6946d1dc25fa3a1197e14ef5f34e57b7eb1ece4d8741496b5"},"schema_version":"1.0"},"canonical_sha256":"12e849cb97d46133034926cf8fed2de2e07202046d0d30450e00cf86f582f3b7","source":{"kind":"arxiv","id":"1305.3792","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3792","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3792v2","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3792","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"CLUETS4X2RQT","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLUETS4X2RQTGA2J","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLUETS4X","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CLUETS4X2RQTGA2JE3HY73JN4L","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3792","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-16T13:12:15Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"4723e78905eda03ac673541905791e707ea7b0016e215ee18702431f2e03735f","abstract_canon_sha256":"3ef773be283b25d6946d1dc25fa3a1197e14ef5f34e57b7eb1ece4d8741496b5"},"schema_version":"1.0"},"canonical_sha256":"12e849cb97d46133034926cf8fed2de2e07202046d0d30450e00cf86f582f3b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:00.069752Z","signature_b64":"/7CnHDLFieWG68NCLIacPdjP/zlHQ+CFl+RnYw87tQYj8VByHS9un/1ZQf+RQoXr9DC55rDfe18QQjoaKOcGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12e849cb97d46133034926cf8fed2de2e07202046d0d30450e00cf86f582f3b7","last_reissued_at":"2026-05-18T03:17:00.069166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:00.069166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3792","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":"2026-05-18T03:17:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tsiy8jy8aV9ejrJO6TFPHUp3j4m1aSaK+OjuVhmiL7MnyOc/vwkSqbk44hFu1UvTGrJxRrLFwR6Q7h9VZmL0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:41:00.435470Z"},"content_sha256":"e3a55ec35b5acdf5ab042e354c50a620167d1a4a41b72c58e41d46cdb3d74314","schema_version":"1.0","event_id":"sha256:e3a55ec35b5acdf5ab042e354c50a620167d1a4a41b72c58e41d46cdb3d74314"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CLUETS4X2RQTGA2JE3HY73JN4L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Competing interactions and the Lifshitz-type Nonlinear Sigma Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"M. Gomes, Pedro R. S. Gomes, P. F. Bienzobaz","submitted_at":"2013-05-16T13:12:15Z","abstract_excerpt":"We establish the equivalence between the continuum limit of the quantum spherical model with competing interactions, which is relevant to the investigation of Lifshitz points, and the O(N) nonlinear sigma model with the addition of higher order spatial derivative operators, which breaks the Lorentz symmetry and is known as Lifshitz-type (or anisotropic) nonlinear sigma model. In the context of the 1/N expansion, we also discuss the renormalization properties of this nonlinear sigma model and find the nontrivial fixed points of the beta-functions in various dimensions, which turn out to be conn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3792","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":"2026-05-18T03:17:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cdqDvgvME2osMWk9Ku357JWYy5fwwyv8Rcvte28tYMOzoolL1n10kAiVQ1VOlvHUac8bqzkqqXWdTWJk3jcEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:41:00.436176Z"},"content_sha256":"bc8cd56b5dd80ab86c8c6f2b506fbd8141d4ff17f5022e5f99e32407b5098411","schema_version":"1.0","event_id":"sha256:bc8cd56b5dd80ab86c8c6f2b506fbd8141d4ff17f5022e5f99e32407b5098411"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CLUETS4X2RQTGA2JE3HY73JN4L/bundle.json","state_url":"https://pith.science/pith/CLUETS4X2RQTGA2JE3HY73JN4L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CLUETS4X2RQTGA2JE3HY73JN4L/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":"2026-06-08T15:41:00Z","links":{"resolver":"https://pith.science/pith/CLUETS4X2RQTGA2JE3HY73JN4L","bundle":"https://pith.science/pith/CLUETS4X2RQTGA2JE3HY73JN4L/bundle.json","state":"https://pith.science/pith/CLUETS4X2RQTGA2JE3HY73JN4L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CLUETS4X2RQTGA2JE3HY73JN4L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CLUETS4X2RQTGA2JE3HY73JN4L","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":"3ef773be283b25d6946d1dc25fa3a1197e14ef5f34e57b7eb1ece4d8741496b5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-16T13:12:15Z","title_canon_sha256":"4723e78905eda03ac673541905791e707ea7b0016e215ee18702431f2e03735f"},"schema_version":"1.0","source":{"id":"1305.3792","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3792","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3792v2","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3792","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"CLUETS4X2RQT","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLUETS4X2RQTGA2J","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLUETS4X","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:bc8cd56b5dd80ab86c8c6f2b506fbd8141d4ff17f5022e5f99e32407b5098411","target":"graph","created_at":"2026-05-18T03:17:00Z","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 establish the equivalence between the continuum limit of the quantum spherical model with competing interactions, which is relevant to the investigation of Lifshitz points, and the O(N) nonlinear sigma model with the addition of higher order spatial derivative operators, which breaks the Lorentz symmetry and is known as Lifshitz-type (or anisotropic) nonlinear sigma model. In the context of the 1/N expansion, we also discuss the renormalization properties of this nonlinear sigma model and find the nontrivial fixed points of the beta-functions in various dimensions, which turn out to be conn","authors_text":"M. Gomes, Pedro R. S. Gomes, P. F. Bienzobaz","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-16T13:12:15Z","title":"Competing interactions and the Lifshitz-type Nonlinear Sigma Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3792","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:e3a55ec35b5acdf5ab042e354c50a620167d1a4a41b72c58e41d46cdb3d74314","target":"record","created_at":"2026-05-18T03:17:00Z","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":"3ef773be283b25d6946d1dc25fa3a1197e14ef5f34e57b7eb1ece4d8741496b5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-16T13:12:15Z","title_canon_sha256":"4723e78905eda03ac673541905791e707ea7b0016e215ee18702431f2e03735f"},"schema_version":"1.0","source":{"id":"1305.3792","kind":"arxiv","version":2}},"canonical_sha256":"12e849cb97d46133034926cf8fed2de2e07202046d0d30450e00cf86f582f3b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12e849cb97d46133034926cf8fed2de2e07202046d0d30450e00cf86f582f3b7","first_computed_at":"2026-05-18T03:17:00.069166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:00.069166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/7CnHDLFieWG68NCLIacPdjP/zlHQ+CFl+RnYw87tQYj8VByHS9un/1ZQf+RQoXr9DC55rDfe18QQjoaKOcGDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:00.069752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3792","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3a55ec35b5acdf5ab042e354c50a620167d1a4a41b72c58e41d46cdb3d74314","sha256:bc8cd56b5dd80ab86c8c6f2b506fbd8141d4ff17f5022e5f99e32407b5098411"],"state_sha256":"05bdf1948e687d917119e9e1bde8aa47dcc2bd23557bc0fc06a75ee16bb21445"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lVWBoasluTWIdjsk5gRI5CEOjRNCZhdmurQeG4xwS801or5TpY2VZToRr6bdLziAim1VtTkd+i1QE6FCidqrAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T15:41:00.440067Z","bundle_sha256":"beb3bc294a810b7cabcdeae71b15b5c70f9a23a2ff2be395b95c601f805aff47"}}