{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:EB4QVNUOB6CXQBBGXQHV7TLLBL","short_pith_number":"pith:EB4QVNUO","canonical_record":{"source":{"id":"2409.08693","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-09-13T10:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"ed4238c2f6e3965748b1b1a13eec57a4801fb07a83b946e186e913c58627fd7e","abstract_canon_sha256":"d051adb32b1ac738df234af6d77a9e04d9cbc74d7ff100fb8b1c3c0cec6bbeb7"},"schema_version":"1.0"},"canonical_sha256":"20790ab68e0f85780426bc0f5fcd6b0ada8ca872a9bd19b10b0fbff9b10001ec","source":{"kind":"arxiv","id":"2409.08693","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.08693","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"2409.08693v2","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.08693","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"EB4QVNUOB6CX","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"pith_short_16","alias_value":"EB4QVNUOB6CXQBBG","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"pith_short_8","alias_value":"EB4QVNUO","created_at":"2026-07-05T09:29:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:EB4QVNUOB6CXQBBGXQHV7TLLBL","target":"record","payload":{"canonical_record":{"source":{"id":"2409.08693","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-09-13T10:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"ed4238c2f6e3965748b1b1a13eec57a4801fb07a83b946e186e913c58627fd7e","abstract_canon_sha256":"d051adb32b1ac738df234af6d77a9e04d9cbc74d7ff100fb8b1c3c0cec6bbeb7"},"schema_version":"1.0"},"canonical_sha256":"20790ab68e0f85780426bc0f5fcd6b0ada8ca872a9bd19b10b0fbff9b10001ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:29:15.741687Z","signature_b64":"qYwBfYCi/V95yZ3X/gVjknILXkXXKx4dmMBFULaI4+c5I0x2u2ezvDUpB6nk0mmiEo+f0CSbJWktDDd7xjD/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20790ab68e0f85780426bc0f5fcd6b0ada8ca872a9bd19b10b0fbff9b10001ec","last_reissued_at":"2026-07-05T09:29:15.741134Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:29:15.741134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.08693","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":"2026-07-05T09:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aThP64U3BmSX+EPBRnWv7wDJI1mVcdFqukOriFkZbRHVDTfIGOxi4mhExoi2c556/Uv6moFitCUl3zrfWrQNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T05:24:30.583789Z"},"content_sha256":"726156d145ca7499a6934a2b25e121d53aad285f013440aba04e10535e219b31","schema_version":"1.0","event_id":"sha256:726156d145ca7499a6934a2b25e121d53aad285f013440aba04e10535e219b31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:EB4QVNUOB6CXQBBGXQHV7TLLBL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boolean SK Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Andrea Alessandrelli, Linda Albanese","submitted_at":"2024-09-13T10:23:11Z","abstract_excerpt":"For over half a century, statistical mechanics of spin glasses played as a paradigm to model and interpret disparate phenomena, ranging from quantitative biology to computer science. However, despite the extensive body of research in this area, there is still a notable lack of studies addressing the replacement of Ising spins with Boolean spins: as the latter play as bits in Machine Learning, this gap to fill is now mandatory. Purpose of this paper is to address this study by focusing on the mean field assumption, providing a comprehensive description of the results pertaining to these network"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.08693","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.08693/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"67ssD1kiGq56I/ioouY6HTv8vaXeQF68hVQ3/LmTi/VYtojXJ8po0xebR1K2NoXHwrwZxnj4gsLyCh6V1RCyBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T05:24:30.584294Z"},"content_sha256":"9b2c298d53aea79d5b3c1b3af2d447d668ee7ec9504c06e1e956b95467bce049","schema_version":"1.0","event_id":"sha256:9b2c298d53aea79d5b3c1b3af2d447d668ee7ec9504c06e1e956b95467bce049"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EB4QVNUOB6CXQBBGXQHV7TLLBL/bundle.json","state_url":"https://pith.science/pith/EB4QVNUOB6CXQBBGXQHV7TLLBL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EB4QVNUOB6CXQBBGXQHV7TLLBL/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":"2026-08-21T05:24:30Z","links":{"resolver":"https://pith.science/pith/EB4QVNUOB6CXQBBGXQHV7TLLBL","bundle":"https://pith.science/pith/EB4QVNUOB6CXQBBGXQHV7TLLBL/bundle.json","state":"https://pith.science/pith/EB4QVNUOB6CXQBBGXQHV7TLLBL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EB4QVNUOB6CXQBBGXQHV7TLLBL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EB4QVNUOB6CXQBBGXQHV7TLLBL","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":"d051adb32b1ac738df234af6d77a9e04d9cbc74d7ff100fb8b1c3c0cec6bbeb7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-09-13T10:23:11Z","title_canon_sha256":"ed4238c2f6e3965748b1b1a13eec57a4801fb07a83b946e186e913c58627fd7e"},"schema_version":"1.0","source":{"id":"2409.08693","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.08693","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"2409.08693v2","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.08693","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"EB4QVNUOB6CX","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"pith_short_16","alias_value":"EB4QVNUOB6CXQBBG","created_at":"2026-07-05T09:29:15Z"},{"alias_kind":"pith_short_8","alias_value":"EB4QVNUO","created_at":"2026-07-05T09:29:15Z"}],"graph_snapshots":[{"event_id":"sha256:9b2c298d53aea79d5b3c1b3af2d447d668ee7ec9504c06e1e956b95467bce049","target":"graph","created_at":"2026-07-05T09:29:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.08693/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For over half a century, statistical mechanics of spin glasses played as a paradigm to model and interpret disparate phenomena, ranging from quantitative biology to computer science. However, despite the extensive body of research in this area, there is still a notable lack of studies addressing the replacement of Ising spins with Boolean spins: as the latter play as bits in Machine Learning, this gap to fill is now mandatory. Purpose of this paper is to address this study by focusing on the mean field assumption, providing a comprehensive description of the results pertaining to these network","authors_text":"Andrea Alessandrelli, Linda Albanese","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-09-13T10:23:11Z","title":"Boolean SK Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.08693","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":"sha256:726156d145ca7499a6934a2b25e121d53aad285f013440aba04e10535e219b31","target":"record","created_at":"2026-07-05T09:29:15Z","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":"d051adb32b1ac738df234af6d77a9e04d9cbc74d7ff100fb8b1c3c0cec6bbeb7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2024-09-13T10:23:11Z","title_canon_sha256":"ed4238c2f6e3965748b1b1a13eec57a4801fb07a83b946e186e913c58627fd7e"},"schema_version":"1.0","source":{"id":"2409.08693","kind":"arxiv","version":2}},"canonical_sha256":"20790ab68e0f85780426bc0f5fcd6b0ada8ca872a9bd19b10b0fbff9b10001ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20790ab68e0f85780426bc0f5fcd6b0ada8ca872a9bd19b10b0fbff9b10001ec","first_computed_at":"2026-07-05T09:29:15.741134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:29:15.741134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qYwBfYCi/V95yZ3X/gVjknILXkXXKx4dmMBFULaI4+c5I0x2u2ezvDUpB6nk0mmiEo+f0CSbJWktDDd7xjD/CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:29:15.741687Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.08693","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:726156d145ca7499a6934a2b25e121d53aad285f013440aba04e10535e219b31","sha256:9b2c298d53aea79d5b3c1b3af2d447d668ee7ec9504c06e1e956b95467bce049"],"state_sha256":"59b043db4b6976cbfe02924136cf6e291b8bd00e1c955c3d2f7d23584776af7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lBv+N9mh6JWytBuCVhnuFn0jAzls1DAKX88/6r/t7RG+PEDUmLO0Mrtlvqb5vUds4d1/M44WijagkOF9Gl5vBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T05:24:30.588687Z","bundle_sha256":"fe8e3c0ec42bb37f354810bbdf30b1ae367c7d2e1b2a98aa84d91b17c34e1951"}}