{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QAOKCIXR35TCGNHAQ72V4ERVJ7","short_pith_number":"pith:QAOKCIXR","canonical_record":{"source":{"id":"1808.02767","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-06T23:36:50Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"f05bda8a58a07d9bf6a7b0bc27e0e5a0173285c8e1072573066b1e89d93ee8f9","abstract_canon_sha256":"e6659a573ffdc2e0a2cb00e06dea84a3b4fcf46c4e2c7c4c20df6430ad711cdd"},"schema_version":"1.0"},"canonical_sha256":"801ca122f1df662334e087f55e12354fd8110139823d81756d9bb01399875f0a","source":{"kind":"arxiv","id":"1808.02767","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02767","created_at":"2026-05-17T23:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02767v1","created_at":"2026-05-17T23:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02767","created_at":"2026-05-17T23:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"QAOKCIXR35TC","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QAOKCIXR35TCGNHA","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QAOKCIXR","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QAOKCIXR35TCGNHAQ72V4ERVJ7","target":"record","payload":{"canonical_record":{"source":{"id":"1808.02767","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-06T23:36:50Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"f05bda8a58a07d9bf6a7b0bc27e0e5a0173285c8e1072573066b1e89d93ee8f9","abstract_canon_sha256":"e6659a573ffdc2e0a2cb00e06dea84a3b4fcf46c4e2c7c4c20df6430ad711cdd"},"schema_version":"1.0"},"canonical_sha256":"801ca122f1df662334e087f55e12354fd8110139823d81756d9bb01399875f0a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:41.329209Z","signature_b64":"tQih+OywDR2Qr+dHU3CtFpeiY/vI0OCOiOaQ5uOJv4DlsBn6q4J2naeFun6vpOSXhooAnkqG203sc8tjmq/RDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"801ca122f1df662334e087f55e12354fd8110139823d81756d9bb01399875f0a","last_reissued_at":"2026-05-17T23:52:41.328533Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:41.328533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.02767","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":"2026-05-17T23:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Y87uINdA2BNkXSAyS/mN4rO4HXfqKbEK3CoUHRi23wyKDeuVKqVx8DQU7WbbyUzClhOQ6ARBASNg/NVWyumAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:47:03.889598Z"},"content_sha256":"364a46a20f8df9b4598a4817c84fe1e307db110ad2cae8277a0d3e2f24501f9f","schema_version":"1.0","event_id":"sha256:364a46a20f8df9b4598a4817c84fe1e307db110ad2cae8277a0d3e2f24501f9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QAOKCIXR35TCGNHAQ72V4ERVJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Archishman Raju, James P. Sethna, Patrick Charbonneau, Sho Yaida, Yi Hu","submitted_at":"2018-08-06T23:36:50Z","abstract_excerpt":"A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critical dimension, six, due to the absence of a critical fixed point in the renormalization-group flows at one-loop order. A recent two-loop analysis revealed a possible strong-coupling fixed point but, given the uncontrolled nature of perturbative analysis in the strong-coupling regime, debate persists. Here we examine the nature of the transition as a function of spatial dimension and show that the strong-coupling fixed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02767","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":"2026-05-17T23:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FiN/JV5WtWt6lj+y99822RQwnfWpUuFXXnEgayXZMce+SN7Tg1XeA3kwoyh0C79NsoqpN2e+9D+JWpAwE2yCDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:47:03.890299Z"},"content_sha256":"e31f61909d597b9d2b98758faed8df546f6bf708b95f244ce0db7c65fb09cdd0","schema_version":"1.0","event_id":"sha256:e31f61909d597b9d2b98758faed8df546f6bf708b95f244ce0db7c65fb09cdd0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QAOKCIXR35TCGNHAQ72V4ERVJ7/bundle.json","state_url":"https://pith.science/pith/QAOKCIXR35TCGNHAQ72V4ERVJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QAOKCIXR35TCGNHAQ72V4ERVJ7/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":"2026-05-25T17:47:03Z","links":{"resolver":"https://pith.science/pith/QAOKCIXR35TCGNHAQ72V4ERVJ7","bundle":"https://pith.science/pith/QAOKCIXR35TCGNHAQ72V4ERVJ7/bundle.json","state":"https://pith.science/pith/QAOKCIXR35TCGNHAQ72V4ERVJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QAOKCIXR35TCGNHAQ72V4ERVJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QAOKCIXR35TCGNHAQ72V4ERVJ7","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":"e6659a573ffdc2e0a2cb00e06dea84a3b4fcf46c4e2c7c4c20df6430ad711cdd","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-06T23:36:50Z","title_canon_sha256":"f05bda8a58a07d9bf6a7b0bc27e0e5a0173285c8e1072573066b1e89d93ee8f9"},"schema_version":"1.0","source":{"id":"1808.02767","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02767","created_at":"2026-05-17T23:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02767v1","created_at":"2026-05-17T23:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02767","created_at":"2026-05-17T23:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"QAOKCIXR35TC","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QAOKCIXR35TCGNHA","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QAOKCIXR","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:e31f61909d597b9d2b98758faed8df546f6bf708b95f244ce0db7c65fb09cdd0","target":"graph","created_at":"2026-05-17T23:52:41Z","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"},"paper":{"abstract_excerpt":"A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critical dimension, six, due to the absence of a critical fixed point in the renormalization-group flows at one-loop order. A recent two-loop analysis revealed a possible strong-coupling fixed point but, given the uncontrolled nature of perturbative analysis in the strong-coupling regime, debate persists. Here we examine the nature of the transition as a function of spatial dimension and show that the strong-coupling fixed","authors_text":"Archishman Raju, James P. Sethna, Patrick Charbonneau, Sho Yaida, Yi Hu","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-06T23:36:50Z","title":"Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02767","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":"sha256:364a46a20f8df9b4598a4817c84fe1e307db110ad2cae8277a0d3e2f24501f9f","target":"record","created_at":"2026-05-17T23:52:41Z","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":"e6659a573ffdc2e0a2cb00e06dea84a3b4fcf46c4e2c7c4c20df6430ad711cdd","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-06T23:36:50Z","title_canon_sha256":"f05bda8a58a07d9bf6a7b0bc27e0e5a0173285c8e1072573066b1e89d93ee8f9"},"schema_version":"1.0","source":{"id":"1808.02767","kind":"arxiv","version":1}},"canonical_sha256":"801ca122f1df662334e087f55e12354fd8110139823d81756d9bb01399875f0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"801ca122f1df662334e087f55e12354fd8110139823d81756d9bb01399875f0a","first_computed_at":"2026-05-17T23:52:41.328533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:41.328533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tQih+OywDR2Qr+dHU3CtFpeiY/vI0OCOiOaQ5uOJv4DlsBn6q4J2naeFun6vpOSXhooAnkqG203sc8tjmq/RDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:41.329209Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.02767","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:364a46a20f8df9b4598a4817c84fe1e307db110ad2cae8277a0d3e2f24501f9f","sha256:e31f61909d597b9d2b98758faed8df546f6bf708b95f244ce0db7c65fb09cdd0"],"state_sha256":"c7edcac9f23f2c26e32bf964a74e7ddda636462457a00279da3e09063851ab58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8hn5xkZDfvDOV+L0zhdvdSdElhqFJ8Vxdlzi+QQ44LVADqqDaLJOe0Jx4+kyQptcYSB23bsbL7WMsp4SZraKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:47:03.894488Z","bundle_sha256":"fa8b42cd8a836e6aae7dc35a1e19e4e0b6b6bc8fbae784e774b350a367b29066"}}