{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:IXZH3NYIRCTXHCMZYK2M32VRJS","short_pith_number":"pith:IXZH3NYI","canonical_record":{"source":{"id":"cond-mat/0209580","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-09-25T11:51:04Z","cross_cats_sorted":["cond-mat.supr-con","hep-lat","hep-th"],"title_canon_sha256":"e4bf00a78b82e152599f005a3d17c6c99d8c7121cb65c67654440b81299e0d3a","abstract_canon_sha256":"4ce05bb2a4da235555c9079d20221a798bb8cc3f56b637e21d6136afb06b0349"},"schema_version":"1.0"},"canonical_sha256":"45f27db70888a7738999c2b4cdeab14c9a13642db5197167bf69128b9939972c","source":{"kind":"arxiv","id":"cond-mat/0209580","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209580","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209580v2","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209580","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"pith_short_12","alias_value":"IXZH3NYIRCTX","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"IXZH3NYIRCTXHCMZ","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"IXZH3NYI","created_at":"2026-07-04T16:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:IXZH3NYIRCTXHCMZYK2M32VRJS","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0209580","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-09-25T11:51:04Z","cross_cats_sorted":["cond-mat.supr-con","hep-lat","hep-th"],"title_canon_sha256":"e4bf00a78b82e152599f005a3d17c6c99d8c7121cb65c67654440b81299e0d3a","abstract_canon_sha256":"4ce05bb2a4da235555c9079d20221a798bb8cc3f56b637e21d6136afb06b0349"},"schema_version":"1.0"},"canonical_sha256":"45f27db70888a7738999c2b4cdeab14c9a13642db5197167bf69128b9939972c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:33:07.583186Z","signature_b64":"NhrAJlawAOsw/gu2f4Pi7dHz7vIu8eJvvS1HRUhCe2hJZA09IQ9OZD8rj9gwRzE97oDBxFDznSEGDozLHD2WAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45f27db70888a7738999c2b4cdeab14c9a13642db5197167bf69128b9939972c","last_reissued_at":"2026-07-04T16:33:07.582741Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:33:07.582741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0209580","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":"2026-07-04T16:33:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HJTwnM7R/GyD+Yf/CKUy2Y7jyErS5Qqa8R1C1AK5pgTDvvMGxDDMuokY23aD0iO9UZq4oCvcIK9xlymGpiwRBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T17:00:07.496336Z"},"content_sha256":"f3cd0aa43e065f1a1641ae6307019dde298a2237bacb2c54322757f16ec44bbd","schema_version":"1.0","event_id":"sha256:f3cd0aa43e065f1a1641ae6307019dde298a2237bacb2c54322757f16ec44bbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:IXZH3NYIRCTXHCMZYK2M32VRJS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories","license":"","headline":"","cross_cats":["cond-mat.supr-con","hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Pelissetto, Ettore Vicari, Pasquale Calabrese","submitted_at":"2002-09-25T11:51:04Z","abstract_excerpt":"We study the multicritical behavior arising from the competition of two distinct types of ordering characterized by O(n) symmetries. For this purpose, we consider the renormalization-group flow for the most general $O(n_1)\\oplus O(n_2)$-symmetric Landau-Ginzburg-Wilson Hamiltonian involving two fields $\\phi_1$ and $\\phi_2$ with $n_1$ and $n_2$ components respectively. In particular, we determine in which cases, approaching the multicritical point, one may observe the asymptotic enlargement of the symmetry to O(N) with N=n_1+n_2. By performing a five-loop $\\epsilon$-expansion computation we det"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209580","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/cond-mat/0209580/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":"2026-07-04T16:33:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52+sVkpq8dKL+MG/jGItU9M6yHgx65uycsHmBBlLzjCxfiFHvcDTtgySoFWGR85s6pFFNtZHtLsT04yYr5IjCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T17:00:07.496889Z"},"content_sha256":"85cb087c7137b1d8a954d524181bef173a9c79a1bcca80c4434075a829d3ab47","schema_version":"1.0","event_id":"sha256:85cb087c7137b1d8a954d524181bef173a9c79a1bcca80c4434075a829d3ab47"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/bundle.json","state_url":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/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":"2026-08-08T17:00:07Z","links":{"resolver":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS","bundle":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/bundle.json","state":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:IXZH3NYIRCTXHCMZYK2M32VRJS","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":"4ce05bb2a4da235555c9079d20221a798bb8cc3f56b637e21d6136afb06b0349","cross_cats_sorted":["cond-mat.supr-con","hep-lat","hep-th"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-09-25T11:51:04Z","title_canon_sha256":"e4bf00a78b82e152599f005a3d17c6c99d8c7121cb65c67654440b81299e0d3a"},"schema_version":"1.0","source":{"id":"cond-mat/0209580","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209580","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209580v2","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209580","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"pith_short_12","alias_value":"IXZH3NYIRCTX","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"IXZH3NYIRCTXHCMZ","created_at":"2026-07-04T16:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"IXZH3NYI","created_at":"2026-07-04T16:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:85cb087c7137b1d8a954d524181bef173a9c79a1bcca80c4434075a829d3ab47","target":"graph","created_at":"2026-07-04T16:33:07Z","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/cond-mat/0209580/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the multicritical behavior arising from the competition of two distinct types of ordering characterized by O(n) symmetries. For this purpose, we consider the renormalization-group flow for the most general $O(n_1)\\oplus O(n_2)$-symmetric Landau-Ginzburg-Wilson Hamiltonian involving two fields $\\phi_1$ and $\\phi_2$ with $n_1$ and $n_2$ components respectively. In particular, we determine in which cases, approaching the multicritical point, one may observe the asymptotic enlargement of the symmetry to O(N) with N=n_1+n_2. By performing a five-loop $\\epsilon$-expansion computation we det","authors_text":"Andrea Pelissetto, Ettore Vicari, Pasquale Calabrese","cross_cats":["cond-mat.supr-con","hep-lat","hep-th"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-09-25T11:51:04Z","title":"Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209580","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:f3cd0aa43e065f1a1641ae6307019dde298a2237bacb2c54322757f16ec44bbd","target":"record","created_at":"2026-07-04T16:33:07Z","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":"4ce05bb2a4da235555c9079d20221a798bb8cc3f56b637e21d6136afb06b0349","cross_cats_sorted":["cond-mat.supr-con","hep-lat","hep-th"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-09-25T11:51:04Z","title_canon_sha256":"e4bf00a78b82e152599f005a3d17c6c99d8c7121cb65c67654440b81299e0d3a"},"schema_version":"1.0","source":{"id":"cond-mat/0209580","kind":"arxiv","version":2}},"canonical_sha256":"45f27db70888a7738999c2b4cdeab14c9a13642db5197167bf69128b9939972c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45f27db70888a7738999c2b4cdeab14c9a13642db5197167bf69128b9939972c","first_computed_at":"2026-07-04T16:33:07.582741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:33:07.582741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NhrAJlawAOsw/gu2f4Pi7dHz7vIu8eJvvS1HRUhCe2hJZA09IQ9OZD8rj9gwRzE97oDBxFDznSEGDozLHD2WAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:33:07.583186Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0209580","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3cd0aa43e065f1a1641ae6307019dde298a2237bacb2c54322757f16ec44bbd","sha256:85cb087c7137b1d8a954d524181bef173a9c79a1bcca80c4434075a829d3ab47"],"state_sha256":"3a039a9a8c50c8004a02176a687c0844464fbc727ed4d4a3e7a0f5e1967c0bd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fLt8jaDIvYIdzjM1lwMn7SZSl1i887uTlV03FBzDhYXOAMNYLtFrxBpSne0d8QlteBiJJ6Yc7VKpRXrt/6oXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T17:00:07.501484Z","bundle_sha256":"b3c25e949fa17831448a7392d201db086d43c1f574b7d50f20ea98278588e005"}}