{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZG2YI5VX5ID6374YSFZDCUVUWN","short_pith_number":"pith:ZG2YI5VX","canonical_record":{"source":{"id":"1010.2677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-13T14:58:49Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"a354359dcb34a4cec7adfac6243ea9b3e54ee7969f4f1f532eeb1d7c3743e441","abstract_canon_sha256":"591ffa9c7cf94ec88acf5677dd6c278b24f1e8da1fe659e2ad1d6563f4d5f562"},"schema_version":"1.0"},"canonical_sha256":"c9b58476b7ea07edff9891723152b4b3776dd14a803404a47f41c7c1d1d1b373","source":{"kind":"arxiv","id":"1010.2677","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2677","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2677v1","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2677","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZG2YI5VX5ID6","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZG2YI5VX5ID6374Y","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZG2YI5VX","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZG2YI5VX5ID6374YSFZDCUVUWN","target":"record","payload":{"canonical_record":{"source":{"id":"1010.2677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-13T14:58:49Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"a354359dcb34a4cec7adfac6243ea9b3e54ee7969f4f1f532eeb1d7c3743e441","abstract_canon_sha256":"591ffa9c7cf94ec88acf5677dd6c278b24f1e8da1fe659e2ad1d6563f4d5f562"},"schema_version":"1.0"},"canonical_sha256":"c9b58476b7ea07edff9891723152b4b3776dd14a803404a47f41c7c1d1d1b373","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:05.570830Z","signature_b64":"gxnQ4DyYne7p9WnWcvGeETUeG9sZcvpxVdAsYxekheKz86JyiKdlv8VvlwGGZU0kMcYlPPvp7jLDxCZdYV8bAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9b58476b7ea07edff9891723152b4b3776dd14a803404a47f41c7c1d1d1b373","last_reissued_at":"2026-05-18T02:05:05.570142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:05.570142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.2677","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":"2026-05-18T02:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CuAia3tfpOA1RjMBNNxPrqTn9A6pCiJcI7Dk8v/Vgy917FLkskFy+GaLEUSLJvoLBQGDNAzVJtRL5zw7funqAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:28:59.018492Z"},"content_sha256":"e52554783985508a0536d08678df42548258c40904a8e1961fc9f3d26857c185","schema_version":"1.0","event_id":"sha256:e52554783985508a0536d08678df42548258c40904a8e1961fc9f3d26857c185"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZG2YI5VX5ID6374YSFZDCUVUWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Short-range spin glasses and Random Overlap Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"math.PR","authors_text":"Louis-Pierre Arguin, Michael Damron","submitted_at":"2010-10-13T14:58:49Z","abstract_excerpt":"Properties of Random Overlap Structures (ROSt)'s constructed from the Edwards-Anderson (EA) Spin Glass model on $\\Z^d$ with periodic boundary conditions are studied. ROSt's are $\\N\\times\\N$ random matrices whose entries are the overlaps of spin configurations sampled from the Gibbs measure. Since the ROSt construction is the same for mean-field models (like the Sherrington-Kirkpatrick model) as for short-range ones (like the EA model), the setup is a good common ground to study the effect of dimensionality on the properties of the Gibbs measure. In this spirit, it is shown, using translation i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2677","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":"2026-05-18T02:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+vOqMX3Gk41yMp7BDpzPnb6aOAMqi7QjNPj4Jlw2x0ryvbcdAYCAVavcVQzhe5SDW2BFhfIUdBiSP7cD2/RBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:28:59.018843Z"},"content_sha256":"574aa5a7ccfb5ad54f408dad4940982e704b819037fc6baa61b42f5588b04f67","schema_version":"1.0","event_id":"sha256:574aa5a7ccfb5ad54f408dad4940982e704b819037fc6baa61b42f5588b04f67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZG2YI5VX5ID6374YSFZDCUVUWN/bundle.json","state_url":"https://pith.science/pith/ZG2YI5VX5ID6374YSFZDCUVUWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZG2YI5VX5ID6374YSFZDCUVUWN/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":"2026-06-02T14:28:59Z","links":{"resolver":"https://pith.science/pith/ZG2YI5VX5ID6374YSFZDCUVUWN","bundle":"https://pith.science/pith/ZG2YI5VX5ID6374YSFZDCUVUWN/bundle.json","state":"https://pith.science/pith/ZG2YI5VX5ID6374YSFZDCUVUWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZG2YI5VX5ID6374YSFZDCUVUWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZG2YI5VX5ID6374YSFZDCUVUWN","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":"591ffa9c7cf94ec88acf5677dd6c278b24f1e8da1fe659e2ad1d6563f4d5f562","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-13T14:58:49Z","title_canon_sha256":"a354359dcb34a4cec7adfac6243ea9b3e54ee7969f4f1f532eeb1d7c3743e441"},"schema_version":"1.0","source":{"id":"1010.2677","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2677","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2677v1","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2677","created_at":"2026-05-18T02:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZG2YI5VX5ID6","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZG2YI5VX5ID6374Y","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZG2YI5VX","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:574aa5a7ccfb5ad54f408dad4940982e704b819037fc6baa61b42f5588b04f67","target":"graph","created_at":"2026-05-18T02:05:05Z","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":"Properties of Random Overlap Structures (ROSt)'s constructed from the Edwards-Anderson (EA) Spin Glass model on $\\Z^d$ with periodic boundary conditions are studied. ROSt's are $\\N\\times\\N$ random matrices whose entries are the overlaps of spin configurations sampled from the Gibbs measure. Since the ROSt construction is the same for mean-field models (like the Sherrington-Kirkpatrick model) as for short-range ones (like the EA model), the setup is a good common ground to study the effect of dimensionality on the properties of the Gibbs measure. In this spirit, it is shown, using translation i","authors_text":"Louis-Pierre Arguin, Michael Damron","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-13T14:58:49Z","title":"Short-range spin glasses and Random Overlap Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2677","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:e52554783985508a0536d08678df42548258c40904a8e1961fc9f3d26857c185","target":"record","created_at":"2026-05-18T02:05:05Z","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":"591ffa9c7cf94ec88acf5677dd6c278b24f1e8da1fe659e2ad1d6563f4d5f562","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-13T14:58:49Z","title_canon_sha256":"a354359dcb34a4cec7adfac6243ea9b3e54ee7969f4f1f532eeb1d7c3743e441"},"schema_version":"1.0","source":{"id":"1010.2677","kind":"arxiv","version":1}},"canonical_sha256":"c9b58476b7ea07edff9891723152b4b3776dd14a803404a47f41c7c1d1d1b373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9b58476b7ea07edff9891723152b4b3776dd14a803404a47f41c7c1d1d1b373","first_computed_at":"2026-05-18T02:05:05.570142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:05.570142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gxnQ4DyYne7p9WnWcvGeETUeG9sZcvpxVdAsYxekheKz86JyiKdlv8VvlwGGZU0kMcYlPPvp7jLDxCZdYV8bAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:05.570830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2677","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e52554783985508a0536d08678df42548258c40904a8e1961fc9f3d26857c185","sha256:574aa5a7ccfb5ad54f408dad4940982e704b819037fc6baa61b42f5588b04f67"],"state_sha256":"aac4a48743228fed5567e4c08ab7e02bf1ad3780acf3f31d437af97a867ebc91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ww/n9bnaBpbsotb06Hyci3GPZqr85A7cjH1IZjxvSp26YcmZizCb4ox+JMuqc3QQk72QY/SYlW/x/YZoW140AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:28:59.020787Z","bundle_sha256":"2e93f8a91427e96d22e90a2c954c780ad1aef2fd296e7e13833e27a7b444a902"}}