{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Y5RXQ3EWYZ6TM75Q3WNSZBSVBU","short_pith_number":"pith:Y5RXQ3EW","canonical_record":{"source":{"id":"1204.3877","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-17T18:44:52Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"bd77c6833665b2563e8e92566f1fdcb796dc90846471a77f6b2181935d86ac92","abstract_canon_sha256":"3d22f80b44475936cf38f059d1b812eec797800528364862cd8d1fe8051d1a3e"},"schema_version":"1.0"},"canonical_sha256":"c763786c96c67d367fb0dd9b2c86550d30fc5cfea75c0598cce7cfe7669198ae","source":{"kind":"arxiv","id":"1204.3877","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3877","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3877v2","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3877","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"pith_short_12","alias_value":"Y5RXQ3EWYZ6T","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y5RXQ3EWYZ6TM75Q","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y5RXQ3EW","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Y5RXQ3EWYZ6TM75Q3WNSZBSVBU","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3877","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-17T18:44:52Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"bd77c6833665b2563e8e92566f1fdcb796dc90846471a77f6b2181935d86ac92","abstract_canon_sha256":"3d22f80b44475936cf38f059d1b812eec797800528364862cd8d1fe8051d1a3e"},"schema_version":"1.0"},"canonical_sha256":"c763786c96c67d367fb0dd9b2c86550d30fc5cfea75c0598cce7cfe7669198ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:23.571230Z","signature_b64":"82Mu3i3fOMhAsiMkmAIRJ40B5pMMriu52o9zR91zI7+nuA0SEfaD7VoojIEWP1CTZ9dtK6U+lyJKYdJsh0VLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c763786c96c67d367fb0dd9b2c86550d30fc5cfea75c0598cce7cfe7669198ae","last_reissued_at":"2026-05-18T03:38:23.570425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:23.570425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3877","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":"2026-05-18T03:38:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mkxeeL+/rb/ajUcJ96sCZrD7efjmIZeotaGze/Oya5vG8n5eZPElIpHzTI97Jyu9QBgSpvdmioyepyLsXpcuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:41:45.516032Z"},"content_sha256":"2dfe4d5053d9bd9566547afd4d419d8ca456e255016dbcab8d6940582a52ef85","schema_version":"1.0","event_id":"sha256:2dfe4d5053d9bd9566547afd4d419d8ca456e255016dbcab8d6940582a52ef85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Y5RXQ3EWYZ6TM75Q3WNSZBSVBU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling Solutions in Continuous Dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"A. Codello","submitted_at":"2012-04-17T18:44:52Z","abstract_excerpt":"We study scaling solutions of the RG flow equation for the Z_2-effective potential in continuous dimension. As the dimension is lowered from d=4 we first observe the appearance of the Ising scaling solution and successively the apparence of multi-critical scaling solutions of arbitrary order. Approaching d=2 these multi-critical scaling solutions converge to the unitary minimal models found in CFT."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3877","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":"2026-05-18T03:38:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yuIax56uTA4OtDNvFLXJt4ad0Omg1fm+0fl6ewXDzJzSFLJyfFjcLMvY+MPnrJTAHf47IIn6bfPWATX57XnjDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:41:45.516668Z"},"content_sha256":"b8dbb83d0c8b833ae52f5db3f8d95ff487d102e203ed7092ddca0adc0ada5c03","schema_version":"1.0","event_id":"sha256:b8dbb83d0c8b833ae52f5db3f8d95ff487d102e203ed7092ddca0adc0ada5c03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y5RXQ3EWYZ6TM75Q3WNSZBSVBU/bundle.json","state_url":"https://pith.science/pith/Y5RXQ3EWYZ6TM75Q3WNSZBSVBU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y5RXQ3EWYZ6TM75Q3WNSZBSVBU/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":"2026-06-12T03:41:45Z","links":{"resolver":"https://pith.science/pith/Y5RXQ3EWYZ6TM75Q3WNSZBSVBU","bundle":"https://pith.science/pith/Y5RXQ3EWYZ6TM75Q3WNSZBSVBU/bundle.json","state":"https://pith.science/pith/Y5RXQ3EWYZ6TM75Q3WNSZBSVBU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y5RXQ3EWYZ6TM75Q3WNSZBSVBU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Y5RXQ3EWYZ6TM75Q3WNSZBSVBU","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":"3d22f80b44475936cf38f059d1b812eec797800528364862cd8d1fe8051d1a3e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-17T18:44:52Z","title_canon_sha256":"bd77c6833665b2563e8e92566f1fdcb796dc90846471a77f6b2181935d86ac92"},"schema_version":"1.0","source":{"id":"1204.3877","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3877","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3877v2","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3877","created_at":"2026-05-18T03:38:23Z"},{"alias_kind":"pith_short_12","alias_value":"Y5RXQ3EWYZ6T","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y5RXQ3EWYZ6TM75Q","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y5RXQ3EW","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:b8dbb83d0c8b833ae52f5db3f8d95ff487d102e203ed7092ddca0adc0ada5c03","target":"graph","created_at":"2026-05-18T03:38:23Z","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 scaling solutions of the RG flow equation for the Z_2-effective potential in continuous dimension. As the dimension is lowered from d=4 we first observe the appearance of the Ising scaling solution and successively the apparence of multi-critical scaling solutions of arbitrary order. Approaching d=2 these multi-critical scaling solutions converge to the unitary minimal models found in CFT.","authors_text":"A. Codello","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-17T18:44:52Z","title":"Scaling Solutions in Continuous Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3877","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":"sha256:2dfe4d5053d9bd9566547afd4d419d8ca456e255016dbcab8d6940582a52ef85","target":"record","created_at":"2026-05-18T03:38:23Z","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":"3d22f80b44475936cf38f059d1b812eec797800528364862cd8d1fe8051d1a3e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-17T18:44:52Z","title_canon_sha256":"bd77c6833665b2563e8e92566f1fdcb796dc90846471a77f6b2181935d86ac92"},"schema_version":"1.0","source":{"id":"1204.3877","kind":"arxiv","version":2}},"canonical_sha256":"c763786c96c67d367fb0dd9b2c86550d30fc5cfea75c0598cce7cfe7669198ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c763786c96c67d367fb0dd9b2c86550d30fc5cfea75c0598cce7cfe7669198ae","first_computed_at":"2026-05-18T03:38:23.570425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:23.570425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"82Mu3i3fOMhAsiMkmAIRJ40B5pMMriu52o9zR91zI7+nuA0SEfaD7VoojIEWP1CTZ9dtK6U+lyJKYdJsh0VLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:23.571230Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3877","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dfe4d5053d9bd9566547afd4d419d8ca456e255016dbcab8d6940582a52ef85","sha256:b8dbb83d0c8b833ae52f5db3f8d95ff487d102e203ed7092ddca0adc0ada5c03"],"state_sha256":"83471e67c7d8b690e8cfd2112c2c89368ac74efeea3461e50959bce3a8f95a94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4qYfL1IVEQxCSTa/2wp6ykPUYuY6sdSgWdNgjIBlLchnbWkJyZq0f5GyaNem0NXpBQTMudrdcGOhaGaKbEm8Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:41:45.520747Z","bundle_sha256":"778fea326a4d30f44b72ebfbd8f19a6308578d4a3ac74ffde49e7c7323531520"}}