{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2BB5Z3ZIXFGLIJLZK4TUDSCPHV","short_pith_number":"pith:2BB5Z3ZI","canonical_record":{"source":{"id":"1407.7442","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-28T15:16:29Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"545e8efbfdb2211a67d6fa6efbbee0caec7373ae74759038b98ef51176ec1598","abstract_canon_sha256":"6fbdf559cd97dfda4e7849e26befca773f05bdb53b83ba80e1c378a18e248ea3"},"schema_version":"1.0"},"canonical_sha256":"d043dcef28b94cb42579572741c84f3d4a1a2da79603f62c0085729f5de309e4","source":{"kind":"arxiv","id":"1407.7442","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7442","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7442v2","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7442","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"2BB5Z3ZIXFGL","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2BB5Z3ZIXFGLIJLZ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2BB5Z3ZI","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2BB5Z3ZIXFGLIJLZK4TUDSCPHV","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7442","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-28T15:16:29Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"545e8efbfdb2211a67d6fa6efbbee0caec7373ae74759038b98ef51176ec1598","abstract_canon_sha256":"6fbdf559cd97dfda4e7849e26befca773f05bdb53b83ba80e1c378a18e248ea3"},"schema_version":"1.0"},"canonical_sha256":"d043dcef28b94cb42579572741c84f3d4a1a2da79603f62c0085729f5de309e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:25.107449Z","signature_b64":"VJsnHFVwyr+HN5HarPFiqw30uK5vaJx7XonPRniuTLpVvV8FtKwkok1YFJn+D7mid3P0FxBVmGStHt5MGP5xCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d043dcef28b94cb42579572741c84f3d4a1a2da79603f62c0085729f5de309e4","last_reissued_at":"2026-05-18T02:33:25.106977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:25.106977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7442","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":"2026-05-18T02:33:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3kc4oLQc6n2+mUkNknkTNnZxNjXRSSJrHlzZRgruVXn3zWiOv78Rgz5gM2d5+Ayzx3iUG+af3j5osVPIvxsiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:57:51.895389Z"},"content_sha256":"3dbe87a5dfcfa73dc38a08c1fbb98113190af5a0b7eb4e79c378f4b41056105a","schema_version":"1.0","event_id":"sha256:3dbe87a5dfcfa73dc38a08c1fbb98113190af5a0b7eb4e79c378f4b41056105a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2BB5Z3ZIXFGLIJLZK4TUDSCPHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of fixed points and generalized critical behavior in multifield models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"cond-mat.stat-mech","authors_text":"Astrid Eichhorn, David Mesterh\\'azy, Michael M. Scherer","submitted_at":"2014-07-28T15:16:29Z","abstract_excerpt":"We study models with three coupled vector fields characterized by $O(N_1)\\oplus O(N_2) \\oplus O(N_3)$ symmetry. Using the nonperturbative functional renormalization group, we derive $\\beta$ functions for the couplings and anomalous dimensions in $d$ dimensions. Specializing to the case of three dimensions, we explore interacting fixed points that generalize the $O(N)$ Wilson-Fisher fixed point. We find a symmetry-enhanced isotropic fixed point, a large class of fixed points with partial symmetry enhancement, as well as partially and fully decoupled fixed point solutions. We discuss their stabi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7442","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":"2026-05-18T02:33:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZovOSvsLCezGqjQT37p9Vs5Yko/4ahurMSBvh5vCm6P1ulZFYyOaAlewJxGw2WS2eVYV9kvrNvmjguTHmBfJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:57:51.902032Z"},"content_sha256":"6b24b8ccf558a3b39d6a7b76bcdb4afa6a7fc1eb70a9623bef4f6f090580a127","schema_version":"1.0","event_id":"sha256:6b24b8ccf558a3b39d6a7b76bcdb4afa6a7fc1eb70a9623bef4f6f090580a127"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BB5Z3ZIXFGLIJLZK4TUDSCPHV/bundle.json","state_url":"https://pith.science/pith/2BB5Z3ZIXFGLIJLZK4TUDSCPHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BB5Z3ZIXFGLIJLZK4TUDSCPHV/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":"2026-06-11T23:57:51Z","links":{"resolver":"https://pith.science/pith/2BB5Z3ZIXFGLIJLZK4TUDSCPHV","bundle":"https://pith.science/pith/2BB5Z3ZIXFGLIJLZK4TUDSCPHV/bundle.json","state":"https://pith.science/pith/2BB5Z3ZIXFGLIJLZK4TUDSCPHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BB5Z3ZIXFGLIJLZK4TUDSCPHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2BB5Z3ZIXFGLIJLZK4TUDSCPHV","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":"6fbdf559cd97dfda4e7849e26befca773f05bdb53b83ba80e1c378a18e248ea3","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-28T15:16:29Z","title_canon_sha256":"545e8efbfdb2211a67d6fa6efbbee0caec7373ae74759038b98ef51176ec1598"},"schema_version":"1.0","source":{"id":"1407.7442","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7442","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7442v2","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7442","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"2BB5Z3ZIXFGL","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2BB5Z3ZIXFGLIJLZ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2BB5Z3ZI","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:6b24b8ccf558a3b39d6a7b76bcdb4afa6a7fc1eb70a9623bef4f6f090580a127","target":"graph","created_at":"2026-05-18T02:33:25Z","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 study models with three coupled vector fields characterized by $O(N_1)\\oplus O(N_2) \\oplus O(N_3)$ symmetry. Using the nonperturbative functional renormalization group, we derive $\\beta$ functions for the couplings and anomalous dimensions in $d$ dimensions. Specializing to the case of three dimensions, we explore interacting fixed points that generalize the $O(N)$ Wilson-Fisher fixed point. We find a symmetry-enhanced isotropic fixed point, a large class of fixed points with partial symmetry enhancement, as well as partially and fully decoupled fixed point solutions. We discuss their stabi","authors_text":"Astrid Eichhorn, David Mesterh\\'azy, Michael M. Scherer","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-28T15:16:29Z","title":"Stability of fixed points and generalized critical behavior in multifield models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7442","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":"sha256:3dbe87a5dfcfa73dc38a08c1fbb98113190af5a0b7eb4e79c378f4b41056105a","target":"record","created_at":"2026-05-18T02:33:25Z","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":"6fbdf559cd97dfda4e7849e26befca773f05bdb53b83ba80e1c378a18e248ea3","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-28T15:16:29Z","title_canon_sha256":"545e8efbfdb2211a67d6fa6efbbee0caec7373ae74759038b98ef51176ec1598"},"schema_version":"1.0","source":{"id":"1407.7442","kind":"arxiv","version":2}},"canonical_sha256":"d043dcef28b94cb42579572741c84f3d4a1a2da79603f62c0085729f5de309e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d043dcef28b94cb42579572741c84f3d4a1a2da79603f62c0085729f5de309e4","first_computed_at":"2026-05-18T02:33:25.106977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:25.106977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VJsnHFVwyr+HN5HarPFiqw30uK5vaJx7XonPRniuTLpVvV8FtKwkok1YFJn+D7mid3P0FxBVmGStHt5MGP5xCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:25.107449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7442","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3dbe87a5dfcfa73dc38a08c1fbb98113190af5a0b7eb4e79c378f4b41056105a","sha256:6b24b8ccf558a3b39d6a7b76bcdb4afa6a7fc1eb70a9623bef4f6f090580a127"],"state_sha256":"f24ea048cfb24938a9a74f6289fac958aebadcb194d6285160f1fa067f1b6ff2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ULjRTejlltlNx8pEhedf6zrjXiwqcI7mjKCe446KMrGuF+RPeycDxUSsKHOXiCfpSybS3JiOcJk2I4pBCr4yCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:57:51.974467Z","bundle_sha256":"1b106c09523587cfd4c7a85073d0070055748ced19ce972e0747644f4eab83d1"}}