{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VEKY3BJEHE5VX6BQPS7UL2H6FA","short_pith_number":"pith:VEKY3BJE","canonical_record":{"source":{"id":"1412.6252","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-12-19T08:40:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e3e18d35d264a32326787af86311e8caa44e3dd72bac0eeb84a0a7b82a0fc93b","abstract_canon_sha256":"b0c90ebbc966479e490213494ba8842ffad68e393f5c15a45bfb0beb575f59d8"},"schema_version":"1.0"},"canonical_sha256":"a9158d8524393b5bf8307cbf45e8fe2836639519c72334081fb87458a5a3bc73","source":{"kind":"arxiv","id":"1412.6252","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6252","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6252v1","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6252","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"pith_short_12","alias_value":"VEKY3BJEHE5V","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VEKY3BJEHE5VX6BQ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VEKY3BJE","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VEKY3BJEHE5VX6BQPS7UL2H6FA","target":"record","payload":{"canonical_record":{"source":{"id":"1412.6252","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-12-19T08:40:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e3e18d35d264a32326787af86311e8caa44e3dd72bac0eeb84a0a7b82a0fc93b","abstract_canon_sha256":"b0c90ebbc966479e490213494ba8842ffad68e393f5c15a45bfb0beb575f59d8"},"schema_version":"1.0"},"canonical_sha256":"a9158d8524393b5bf8307cbf45e8fe2836639519c72334081fb87458a5a3bc73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:54.011070Z","signature_b64":"ZbGylvBq7jz3t/VU2OTTYerCrAobBtgvqjgo+yFZ+2GRtrrvmQ1Chp3IW40b07i61d4mno+0M25bgmMlMtf9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9158d8524393b5bf8307cbf45e8fe2836639519c72334081fb87458a5a3bc73","last_reissued_at":"2026-05-18T02:30:54.010633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:54.010633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.6252","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UfZPBUoeiY7l55XQt9qFzqKB1of81ExZLCJ+nt8KOGWq48MNfaVzhy7PyhHY86228WhzAdFKWGGVPPGw5xlICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:55:35.111473Z"},"content_sha256":"80e4fdaeaf507a15bddde541b69edf56299770eb1c13aa9cbd760bd869dd756d","schema_version":"1.0","event_id":"sha256:80e4fdaeaf507a15bddde541b69edf56299770eb1c13aa9cbd760bd869dd756d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VEKY3BJEHE5VX6BQPS7UL2H6FA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization group analysis of competition between distinct order parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Guo-Zhu Liu, Jing Wang","submitted_at":"2014-12-19T08:40:21Z","abstract_excerpt":"We perform a detailed renormalization group analysis to study a (2+1)-dimensional quantum field theory that is composed of two interacting scalar bosons, which represent the order parameters for two continuous phase transitions. This sort of field theory can describe the competition and coexistence between distinct long-range orders, and therefore plays a vital role in statistical physics and condensed matter physics. We first derive and solve the renormalization group equations of all the relevant physical parameters, and then show that the system does not have any stable fixed point in the l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6252","kind":"arxiv","version":1},"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":"2026-05-18T02:30:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f6MpYeWS2nYXpjm7ophWjrZtRqRCQy/tZE7TtaboI7E9+YB0pRXOvVTNz49BnyPVlRehh06QxYMlTAdzn82sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:55:35.111816Z"},"content_sha256":"70085ad8a6085341b5b356dd6ff43f9660c245682890304108eb616b17ea8716","schema_version":"1.0","event_id":"sha256:70085ad8a6085341b5b356dd6ff43f9660c245682890304108eb616b17ea8716"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VEKY3BJEHE5VX6BQPS7UL2H6FA/bundle.json","state_url":"https://pith.science/pith/VEKY3BJEHE5VX6BQPS7UL2H6FA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VEKY3BJEHE5VX6BQPS7UL2H6FA/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":"2026-06-03T06:55:35Z","links":{"resolver":"https://pith.science/pith/VEKY3BJEHE5VX6BQPS7UL2H6FA","bundle":"https://pith.science/pith/VEKY3BJEHE5VX6BQPS7UL2H6FA/bundle.json","state":"https://pith.science/pith/VEKY3BJEHE5VX6BQPS7UL2H6FA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VEKY3BJEHE5VX6BQPS7UL2H6FA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VEKY3BJEHE5VX6BQPS7UL2H6FA","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":"b0c90ebbc966479e490213494ba8842ffad68e393f5c15a45bfb0beb575f59d8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-12-19T08:40:21Z","title_canon_sha256":"e3e18d35d264a32326787af86311e8caa44e3dd72bac0eeb84a0a7b82a0fc93b"},"schema_version":"1.0","source":{"id":"1412.6252","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6252","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6252v1","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6252","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"pith_short_12","alias_value":"VEKY3BJEHE5V","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VEKY3BJEHE5VX6BQ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VEKY3BJE","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:70085ad8a6085341b5b356dd6ff43f9660c245682890304108eb616b17ea8716","target":"graph","created_at":"2026-05-18T02:30:54Z","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 perform a detailed renormalization group analysis to study a (2+1)-dimensional quantum field theory that is composed of two interacting scalar bosons, which represent the order parameters for two continuous phase transitions. This sort of field theory can describe the competition and coexistence between distinct long-range orders, and therefore plays a vital role in statistical physics and condensed matter physics. We first derive and solve the renormalization group equations of all the relevant physical parameters, and then show that the system does not have any stable fixed point in the l","authors_text":"Guo-Zhu Liu, Jing Wang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-12-19T08:40:21Z","title":"Renormalization group analysis of competition between distinct order parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6252","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":"sha256:80e4fdaeaf507a15bddde541b69edf56299770eb1c13aa9cbd760bd869dd756d","target":"record","created_at":"2026-05-18T02:30:54Z","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":"b0c90ebbc966479e490213494ba8842ffad68e393f5c15a45bfb0beb575f59d8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-12-19T08:40:21Z","title_canon_sha256":"e3e18d35d264a32326787af86311e8caa44e3dd72bac0eeb84a0a7b82a0fc93b"},"schema_version":"1.0","source":{"id":"1412.6252","kind":"arxiv","version":1}},"canonical_sha256":"a9158d8524393b5bf8307cbf45e8fe2836639519c72334081fb87458a5a3bc73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9158d8524393b5bf8307cbf45e8fe2836639519c72334081fb87458a5a3bc73","first_computed_at":"2026-05-18T02:30:54.010633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:54.010633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZbGylvBq7jz3t/VU2OTTYerCrAobBtgvqjgo+yFZ+2GRtrrvmQ1Chp3IW40b07i61d4mno+0M25bgmMlMtf9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:54.011070Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6252","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80e4fdaeaf507a15bddde541b69edf56299770eb1c13aa9cbd760bd869dd756d","sha256:70085ad8a6085341b5b356dd6ff43f9660c245682890304108eb616b17ea8716"],"state_sha256":"ed961a1c6239a001aaaa741546aaeba0bc4a65013de1bf01679329b291a0b7b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LPFGOGWg90s+9qhD91yDchZ+ZAv3lBLVqR9u0ykrfzf6YVwjpLi2KK+PLmYI3OBTjhBv5zJikYIkWKWGuX7dCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:55:35.113792Z","bundle_sha256":"d194c26e6e0113e04e42d47832f8391e436e6ed9d407878e72ab105403d83819"}}