{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:2TQPZOQFUORWFRDSW5HQYKVXOU","short_pith_number":"pith:2TQPZOQF","canonical_record":{"source":{"id":"0911.1985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-11-10T20:18:47Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a641876299ea48e20d20e88ecadb186d8663010ef6d52c770e62ce45ccfba757","abstract_canon_sha256":"dcb2c82f05d59b279fab4aae10ecc34f9334b23e8437dc6ea4443c9790b20460"},"schema_version":"1.0"},"canonical_sha256":"d4e0fcba05a3a362c472b74f0c2ab7750b86febf29517da3fc2201ee6b285682","source":{"kind":"arxiv","id":"0911.1985","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1985","created_at":"2026-05-18T02:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1985v1","created_at":"2026-05-18T02:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1985","created_at":"2026-05-18T02:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"2TQPZOQFUORW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2TQPZOQFUORWFRDS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2TQPZOQF","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:2TQPZOQFUORWFRDSW5HQYKVXOU","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-11-10T20:18:47Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a641876299ea48e20d20e88ecadb186d8663010ef6d52c770e62ce45ccfba757","abstract_canon_sha256":"dcb2c82f05d59b279fab4aae10ecc34f9334b23e8437dc6ea4443c9790b20460"},"schema_version":"1.0"},"canonical_sha256":"d4e0fcba05a3a362c472b74f0c2ab7750b86febf29517da3fc2201ee6b285682","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:48.962283Z","signature_b64":"kwKQYwuCbfMSFgkH7uFDghlEMGz3SQf06fQnn7cAr698JTr7YHDJdMJiMrNKfuzaOA5NWOcmqcJjl9ZJ5Dj6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4e0fcba05a3a362c472b74f0c2ab7750b86febf29517da3fc2201ee6b285682","last_reissued_at":"2026-05-18T02:10:48.961533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:48.961533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1985","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":"2026-05-18T02:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pd7EykSem0ZbxyT3xpgEWFIir3Gc6+NIB9ZRnUtWGBjiHXNWID2qGr5yHrW2VzRNZDW8SEWOQP0D4Cl0RIR1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T22:51:45.624454Z"},"content_sha256":"28ba03f35d0b70c9cd1d895fb76ad4debd5d2a6edc81b628b22171c1e91d6638","schema_version":"1.0","event_id":"sha256:28ba03f35d0b70c9cd1d895fb76ad4debd5d2a6edc81b628b22171c1e91d6638"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:2TQPZOQFUORWFRDSW5HQYKVXOU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intrinsic limitations of inverse inference in the pairwise Ising spin glass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Enzo Marinari, Valery Van Kerrebroeck","submitted_at":"2009-11-10T20:18:47Z","abstract_excerpt":"We analyze the limits inherent to the inverse reconstruction of a pairwise Ising spin glass based on susceptibility propagation. We establish the conditions under which the susceptibility propagation algorithm is able to reconstruct the characteristics of the network given first- and second-order local observables, evaluate eventual errors due to various types of noise in the originally observed data, and discuss the scaling of the problem with the number of degrees of freedom."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1985","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":"2026-05-18T02:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ETYvHIwFJl/ihQenUmMoBtUX/hPUR1l/FGKToSzP5OrWOBCcs82fZxYGWxVQ0m8O1vsbmdKst9XlVQUNAldSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T22:51:45.624810Z"},"content_sha256":"fccde32ed1438ba8b22e79c9cd3a6b630d420aed9c3336fe5c5f8203ba5d14e9","schema_version":"1.0","event_id":"sha256:fccde32ed1438ba8b22e79c9cd3a6b630d420aed9c3336fe5c5f8203ba5d14e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2TQPZOQFUORWFRDSW5HQYKVXOU/bundle.json","state_url":"https://pith.science/pith/2TQPZOQFUORWFRDSW5HQYKVXOU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2TQPZOQFUORWFRDSW5HQYKVXOU/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":"2026-06-19T22:51:45Z","links":{"resolver":"https://pith.science/pith/2TQPZOQFUORWFRDSW5HQYKVXOU","bundle":"https://pith.science/pith/2TQPZOQFUORWFRDSW5HQYKVXOU/bundle.json","state":"https://pith.science/pith/2TQPZOQFUORWFRDSW5HQYKVXOU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2TQPZOQFUORWFRDSW5HQYKVXOU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2TQPZOQFUORWFRDSW5HQYKVXOU","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":"dcb2c82f05d59b279fab4aae10ecc34f9334b23e8437dc6ea4443c9790b20460","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-11-10T20:18:47Z","title_canon_sha256":"a641876299ea48e20d20e88ecadb186d8663010ef6d52c770e62ce45ccfba757"},"schema_version":"1.0","source":{"id":"0911.1985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1985","created_at":"2026-05-18T02:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1985v1","created_at":"2026-05-18T02:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1985","created_at":"2026-05-18T02:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"2TQPZOQFUORW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2TQPZOQFUORWFRDS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2TQPZOQF","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:fccde32ed1438ba8b22e79c9cd3a6b630d420aed9c3336fe5c5f8203ba5d14e9","target":"graph","created_at":"2026-05-18T02:10:48Z","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 analyze the limits inherent to the inverse reconstruction of a pairwise Ising spin glass based on susceptibility propagation. We establish the conditions under which the susceptibility propagation algorithm is able to reconstruct the characteristics of the network given first- and second-order local observables, evaluate eventual errors due to various types of noise in the originally observed data, and discuss the scaling of the problem with the number of degrees of freedom.","authors_text":"Enzo Marinari, Valery Van Kerrebroeck","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-11-10T20:18:47Z","title":"Intrinsic limitations of inverse inference in the pairwise Ising spin glass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1985","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":"sha256:28ba03f35d0b70c9cd1d895fb76ad4debd5d2a6edc81b628b22171c1e91d6638","target":"record","created_at":"2026-05-18T02:10:48Z","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":"dcb2c82f05d59b279fab4aae10ecc34f9334b23e8437dc6ea4443c9790b20460","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-11-10T20:18:47Z","title_canon_sha256":"a641876299ea48e20d20e88ecadb186d8663010ef6d52c770e62ce45ccfba757"},"schema_version":"1.0","source":{"id":"0911.1985","kind":"arxiv","version":1}},"canonical_sha256":"d4e0fcba05a3a362c472b74f0c2ab7750b86febf29517da3fc2201ee6b285682","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4e0fcba05a3a362c472b74f0c2ab7750b86febf29517da3fc2201ee6b285682","first_computed_at":"2026-05-18T02:10:48.961533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:48.961533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kwKQYwuCbfMSFgkH7uFDghlEMGz3SQf06fQnn7cAr698JTr7YHDJdMJiMrNKfuzaOA5NWOcmqcJjl9ZJ5Dj6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:48.962283Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28ba03f35d0b70c9cd1d895fb76ad4debd5d2a6edc81b628b22171c1e91d6638","sha256:fccde32ed1438ba8b22e79c9cd3a6b630d420aed9c3336fe5c5f8203ba5d14e9"],"state_sha256":"921edfce31ea5af250d3b2aa9eeef42fa57a6af05902a28084232b3604096236"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tqDEJBpeX7rk9pnK2aCCirX3B3gUq/VTctvAChzS97thMctJySis4VtGYn6mhxq12U4N0nkBorPBjTCKBUp7Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-19T22:51:45.626829Z","bundle_sha256":"b56dce10c2aee130017d577a12576b5a0b57a71b376ef601899d40a8f7beb10f"}}