{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:R76ENEECFU4V7YT64B46P3TVOH","short_pith_number":"pith:R76ENEEC","canonical_record":{"source":{"id":"1503.02103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-06T22:19:22Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a71473f96f2016226268a654b4dab8354055c9d2ad3f4f9c6bb3661a2487b767","abstract_canon_sha256":"c7de8a8918355f01a3f1ec5a5c60e6df0eeacbf69afd4d7f79ee6bc60ffbb501"},"schema_version":"1.0"},"canonical_sha256":"8ffc4690822d395fe27ee079e7ee7571c5d05045fd89c0b310f761559b59a882","source":{"kind":"arxiv","id":"1503.02103","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02103","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02103v1","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02103","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"R76ENEECFU4V","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R76ENEECFU4V7YT6","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R76ENEEC","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:R76ENEECFU4V7YT64B46P3TVOH","target":"record","payload":{"canonical_record":{"source":{"id":"1503.02103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-06T22:19:22Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a71473f96f2016226268a654b4dab8354055c9d2ad3f4f9c6bb3661a2487b767","abstract_canon_sha256":"c7de8a8918355f01a3f1ec5a5c60e6df0eeacbf69afd4d7f79ee6bc60ffbb501"},"schema_version":"1.0"},"canonical_sha256":"8ffc4690822d395fe27ee079e7ee7571c5d05045fd89c0b310f761559b59a882","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:25.846106Z","signature_b64":"m/7AfYOruXa/Dv37iL/aurZNOSub29DJfLXo0FfIkRC+itQ5kND7RA887EOa0px/HFxfqu3zwB36xwbJh/J2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ffc4690822d395fe27ee079e7ee7571c5d05045fd89c0b310f761559b59a882","last_reissued_at":"2026-05-18T02:25:25.845746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:25.845746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.02103","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":"2026-05-18T02:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mIUuJ9d5Uz74ZD3u+xEbTZEMDWtZyxSb0IHE7YilF9hPcZJQ7iKT5lPgH5m1OqoFMv6Sc7BSx/N6YdAWOZMMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:49:13.894966Z"},"content_sha256":"1486a10c830f246c01aa9b3d647e175dac1dd8df428ed2a901c6f746ca9ed821","schema_version":"1.0","event_id":"sha256:1486a10c830f246c01aa9b3d647e175dac1dd8df428ed2a901c6f746ca9ed821"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:R76ENEECFU4V7YT64B46P3TVOH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-perturbative effects in spin glasses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Giorgio Parisi, Michele Castellana","submitted_at":"2015-03-06T22:19:22Z","abstract_excerpt":"We present a numerical study of an Ising spin glass with hierarchical interactions - the hierarchical Edwards-Anderson model with an external magnetic field (HEA). We study the model with Monte Carlo (MC) simulations in the mean-field (MF) and non-mean-field (NMF) regions corresponding to $d\\geq4$ and $d<4$ for the $d$-dimensional ferromagnetic Ising model respectively. We compare the MC results with those of a renormalization-group (RG) study where the critical fixed point is treated as a perturbation of the MF one, along the same lines as in the $\\epsilon$-expansion for the Ising model. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02103","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":"2026-05-18T02:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZbI+ZR8esk+y+0be2h2Yau/OuDYssGHBZaGHnqdpOBi5q7M4Vs6lyjVbleN8TQb2f78LPuTII1i569pgHB3/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:49:13.895376Z"},"content_sha256":"1d19a02b9595222e218dab22a529082c5573054b61f0ae4b67d505cb26cbbce3","schema_version":"1.0","event_id":"sha256:1d19a02b9595222e218dab22a529082c5573054b61f0ae4b67d505cb26cbbce3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R76ENEECFU4V7YT64B46P3TVOH/bundle.json","state_url":"https://pith.science/pith/R76ENEECFU4V7YT64B46P3TVOH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R76ENEECFU4V7YT64B46P3TVOH/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":"2026-05-27T19:49:13Z","links":{"resolver":"https://pith.science/pith/R76ENEECFU4V7YT64B46P3TVOH","bundle":"https://pith.science/pith/R76ENEECFU4V7YT64B46P3TVOH/bundle.json","state":"https://pith.science/pith/R76ENEECFU4V7YT64B46P3TVOH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R76ENEECFU4V7YT64B46P3TVOH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:R76ENEECFU4V7YT64B46P3TVOH","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":"c7de8a8918355f01a3f1ec5a5c60e6df0eeacbf69afd4d7f79ee6bc60ffbb501","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-06T22:19:22Z","title_canon_sha256":"a71473f96f2016226268a654b4dab8354055c9d2ad3f4f9c6bb3661a2487b767"},"schema_version":"1.0","source":{"id":"1503.02103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02103","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02103v1","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02103","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"R76ENEECFU4V","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R76ENEECFU4V7YT6","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R76ENEEC","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:1d19a02b9595222e218dab22a529082c5573054b61f0ae4b67d505cb26cbbce3","target":"graph","created_at":"2026-05-18T02:25:25Z","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 present a numerical study of an Ising spin glass with hierarchical interactions - the hierarchical Edwards-Anderson model with an external magnetic field (HEA). We study the model with Monte Carlo (MC) simulations in the mean-field (MF) and non-mean-field (NMF) regions corresponding to $d\\geq4$ and $d<4$ for the $d$-dimensional ferromagnetic Ising model respectively. We compare the MC results with those of a renormalization-group (RG) study where the critical fixed point is treated as a perturbation of the MF one, along the same lines as in the $\\epsilon$-expansion for the Ising model. The ","authors_text":"Giorgio Parisi, Michele Castellana","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-06T22:19:22Z","title":"Non-perturbative effects in spin glasses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02103","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":"sha256:1486a10c830f246c01aa9b3d647e175dac1dd8df428ed2a901c6f746ca9ed821","target":"record","created_at":"2026-05-18T02:25:25Z","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":"c7de8a8918355f01a3f1ec5a5c60e6df0eeacbf69afd4d7f79ee6bc60ffbb501","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-03-06T22:19:22Z","title_canon_sha256":"a71473f96f2016226268a654b4dab8354055c9d2ad3f4f9c6bb3661a2487b767"},"schema_version":"1.0","source":{"id":"1503.02103","kind":"arxiv","version":1}},"canonical_sha256":"8ffc4690822d395fe27ee079e7ee7571c5d05045fd89c0b310f761559b59a882","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ffc4690822d395fe27ee079e7ee7571c5d05045fd89c0b310f761559b59a882","first_computed_at":"2026-05-18T02:25:25.845746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:25.845746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m/7AfYOruXa/Dv37iL/aurZNOSub29DJfLXo0FfIkRC+itQ5kND7RA887EOa0px/HFxfqu3zwB36xwbJh/J2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:25.846106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1486a10c830f246c01aa9b3d647e175dac1dd8df428ed2a901c6f746ca9ed821","sha256:1d19a02b9595222e218dab22a529082c5573054b61f0ae4b67d505cb26cbbce3"],"state_sha256":"db4e8abc98f9e152ba21dafe0168e411d5fe516d78a734ef436c26342a438890"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TgmEtVVcG288rQTapLfsVAEWp6yj0zmBsADjhXiKFDU/MNxaPQM2yaWrV8wMMi/F/TRSU3hAaao27yeJeKijAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:49:13.897981Z","bundle_sha256":"13845c8f0ba0a69b2afb288e16486ce5284e2fa561eadead795137e380994a87"}}