{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:U6X3GMJ3LPMG2POPZ42GLWVB7V","short_pith_number":"pith:U6X3GMJ3","canonical_record":{"source":{"id":"2306.09419","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-15T18:03:18Z","cross_cats_sorted":[],"title_canon_sha256":"583c1648b358af8e29f47d2917842a02ae570a57233aee80e5d374ebf6a5b566","abstract_canon_sha256":"1230e1d22fdd34f4e414f434c2b418d5a6dde33af12659d5e0b11381e8a2e8cd"},"schema_version":"1.0"},"canonical_sha256":"a7afb3313b5bd86d3dcfcf3465daa1fd5366e8e22255f15b883690a6252e4e08","source":{"kind":"arxiv","id":"2306.09419","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.09419","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"2306.09419v2","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.09419","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"U6X3GMJ3LPMG","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"pith_short_16","alias_value":"U6X3GMJ3LPMG2POP","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"pith_short_8","alias_value":"U6X3GMJ3","created_at":"2026-07-05T07:41:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:U6X3GMJ3LPMG2POPZ42GLWVB7V","target":"record","payload":{"canonical_record":{"source":{"id":"2306.09419","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-15T18:03:18Z","cross_cats_sorted":[],"title_canon_sha256":"583c1648b358af8e29f47d2917842a02ae570a57233aee80e5d374ebf6a5b566","abstract_canon_sha256":"1230e1d22fdd34f4e414f434c2b418d5a6dde33af12659d5e0b11381e8a2e8cd"},"schema_version":"1.0"},"canonical_sha256":"a7afb3313b5bd86d3dcfcf3465daa1fd5366e8e22255f15b883690a6252e4e08","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:41:41.076773Z","signature_b64":"t0goSwPBAai9PV74GG8ym5m7mbxPShIEQBnKu49tyO7ITqw4DTKLDyuaaeyobICdYPkqriimrO/EobxqyQW1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7afb3313b5bd86d3dcfcf3465daa1fd5366e8e22255f15b883690a6252e4e08","last_reissued_at":"2026-07-05T07:41:41.076239Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:41:41.076239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.09419","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":"2026-07-05T07:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n9PAdRvfCcMNvNueg5sWczSqijU1qMdWVZJozsJHu646jH1Va7vmd8A0n2R7Mnf8Et+GiJTH9YXNMieKYzJGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T00:14:28.500504Z"},"content_sha256":"7fad3158327d0fd5b414a6962344f692f466503f3a99e50da7950e6f0166e96d","schema_version":"1.0","event_id":"sha256:7fad3158327d0fd5b414a6962344f692f466503f3a99e50da7950e6f0166e96d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:U6X3GMJ3LPMG2POPZ42GLWVB7V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classifying irreducible fixed points of five scalar fields in perturbation theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Junchen Rong, Slava Rychkov","submitted_at":"2023-06-15T18:03:18Z","abstract_excerpt":"Classifying perturbative fixed points near upper critical dimensions plays an important role in understanding the space of conformal field theories and critical phases of matter. In this work, we consider perturbative fixed points of $N=5$ scalar bosons coupled with quartic interactions preserving an arbitrary subgroup $G\\subset {\\rm O}(5)$. We perform an exhaustive algorithmic search over the symmetry groups $G$ which are irreducible and satisfy the Landau condition, so that the fixed point can be reached by fine-tuning a single mass term and there is no need to tune the cubic couplings. We a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.09419","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.09419/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o4b3zDFlFYbltnFo4E93CmznWNSusTe+cOaOFd5p7SBZ9mF3kJZWnNYZxLLufqypH7iP0oz7JXl33XsGUM/wAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T00:14:28.501394Z"},"content_sha256":"69f5a3938a6f504b3468386badff8e0a95a6979cf61693186b0dc94205224b44","schema_version":"1.0","event_id":"sha256:69f5a3938a6f504b3468386badff8e0a95a6979cf61693186b0dc94205224b44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U6X3GMJ3LPMG2POPZ42GLWVB7V/bundle.json","state_url":"https://pith.science/pith/U6X3GMJ3LPMG2POPZ42GLWVB7V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U6X3GMJ3LPMG2POPZ42GLWVB7V/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":"2026-08-20T00:14:28Z","links":{"resolver":"https://pith.science/pith/U6X3GMJ3LPMG2POPZ42GLWVB7V","bundle":"https://pith.science/pith/U6X3GMJ3LPMG2POPZ42GLWVB7V/bundle.json","state":"https://pith.science/pith/U6X3GMJ3LPMG2POPZ42GLWVB7V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U6X3GMJ3LPMG2POPZ42GLWVB7V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:U6X3GMJ3LPMG2POPZ42GLWVB7V","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":"1230e1d22fdd34f4e414f434c2b418d5a6dde33af12659d5e0b11381e8a2e8cd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-15T18:03:18Z","title_canon_sha256":"583c1648b358af8e29f47d2917842a02ae570a57233aee80e5d374ebf6a5b566"},"schema_version":"1.0","source":{"id":"2306.09419","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.09419","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"2306.09419v2","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.09419","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"U6X3GMJ3LPMG","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"pith_short_16","alias_value":"U6X3GMJ3LPMG2POP","created_at":"2026-07-05T07:41:41Z"},{"alias_kind":"pith_short_8","alias_value":"U6X3GMJ3","created_at":"2026-07-05T07:41:41Z"}],"graph_snapshots":[{"event_id":"sha256:69f5a3938a6f504b3468386badff8e0a95a6979cf61693186b0dc94205224b44","target":"graph","created_at":"2026-07-05T07:41:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.09419/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Classifying perturbative fixed points near upper critical dimensions plays an important role in understanding the space of conformal field theories and critical phases of matter. In this work, we consider perturbative fixed points of $N=5$ scalar bosons coupled with quartic interactions preserving an arbitrary subgroup $G\\subset {\\rm O}(5)$. We perform an exhaustive algorithmic search over the symmetry groups $G$ which are irreducible and satisfy the Landau condition, so that the fixed point can be reached by fine-tuning a single mass term and there is no need to tune the cubic couplings. We a","authors_text":"Junchen Rong, Slava Rychkov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-15T18:03:18Z","title":"Classifying irreducible fixed points of five scalar fields in perturbation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.09419","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":"sha256:7fad3158327d0fd5b414a6962344f692f466503f3a99e50da7950e6f0166e96d","target":"record","created_at":"2026-07-05T07:41:41Z","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":"1230e1d22fdd34f4e414f434c2b418d5a6dde33af12659d5e0b11381e8a2e8cd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-15T18:03:18Z","title_canon_sha256":"583c1648b358af8e29f47d2917842a02ae570a57233aee80e5d374ebf6a5b566"},"schema_version":"1.0","source":{"id":"2306.09419","kind":"arxiv","version":2}},"canonical_sha256":"a7afb3313b5bd86d3dcfcf3465daa1fd5366e8e22255f15b883690a6252e4e08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7afb3313b5bd86d3dcfcf3465daa1fd5366e8e22255f15b883690a6252e4e08","first_computed_at":"2026-07-05T07:41:41.076239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:41:41.076239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t0goSwPBAai9PV74GG8ym5m7mbxPShIEQBnKu49tyO7ITqw4DTKLDyuaaeyobICdYPkqriimrO/EobxqyQW1Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:41:41.076773Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.09419","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fad3158327d0fd5b414a6962344f692f466503f3a99e50da7950e6f0166e96d","sha256:69f5a3938a6f504b3468386badff8e0a95a6979cf61693186b0dc94205224b44"],"state_sha256":"9ea1d935a6c403225e7a4e266a570677f8b08bb0175df1cfeb1c76ed3b686895"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ucP+bCS6k4x6ZuzfHkli+SpWDUak7/mucc+FAQGarlBlKIuL/7EJnkCg2CDPiX4tirpC1beH1BmQuuaJZXebCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T00:14:28.507699Z","bundle_sha256":"40777161c6be29db5faff919fed4377ae62a3b4d1caa94a63d34f601010cb761"}}