{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WDIOXABSNDMG3RFOT7EC4TKSD7","short_pith_number":"pith:WDIOXABS","canonical_record":{"source":{"id":"2507.12626","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2025-07-16T20:41:09Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"9b00054bf0c75a56bf17c38a026caa574c2c9e71a793de2571d600f3ebd2c768","abstract_canon_sha256":"e077f9fc6cb8e079e719710fcb4b0c7d8cdf4bafce95ce19c7265aef97f74bbe"},"schema_version":"1.0"},"canonical_sha256":"b0d0eb803268d86dc4ae9fc82e4d521fe1724df51d2303e50954fc6373d5aa9b","source":{"kind":"arxiv","id":"2507.12626","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12626","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12626v1","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12626","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"WDIOXABSNDMG","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"pith_short_16","alias_value":"WDIOXABSNDMG3RFO","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"pith_short_8","alias_value":"WDIOXABS","created_at":"2026-07-05T11:38:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WDIOXABSNDMG3RFOT7EC4TKSD7","target":"record","payload":{"canonical_record":{"source":{"id":"2507.12626","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2025-07-16T20:41:09Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"9b00054bf0c75a56bf17c38a026caa574c2c9e71a793de2571d600f3ebd2c768","abstract_canon_sha256":"e077f9fc6cb8e079e719710fcb4b0c7d8cdf4bafce95ce19c7265aef97f74bbe"},"schema_version":"1.0"},"canonical_sha256":"b0d0eb803268d86dc4ae9fc82e4d521fe1724df51d2303e50954fc6373d5aa9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:35.955476Z","signature_b64":"bLphxYlneZTnzBl9PUmeLTu1bxaU95iTonSvY+ukk3Ayh8aYva93ss01pYVqgwHpI/rR5sMXBbqJWhJbu2dmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0d0eb803268d86dc4ae9fc82e4d521fe1724df51d2303e50954fc6373d5aa9b","last_reissued_at":"2026-07-05T11:38:35.954544Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:35.954544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.12626","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":"2026-07-05T11:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wXHLBkgK06qEfyK90yRU6jCKfeeFWXqcJS70iWZUR/R5deqy3upxFNWnSlrsmfdNvWypvwAUIQCzzpMXpeOQBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:39:47.817165Z"},"content_sha256":"80ba5d30584cb08f8c64326314feeb4f0b661c59745318cdd0f0511ad2940102","schema_version":"1.0","event_id":"sha256:80ba5d30584cb08f8c64326314feeb4f0b661c59745318cdd0f0511ad2940102"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WDIOXABSNDMG3RFOT7EC4TKSD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Theory of Ising Machines","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cs.ET","authors_text":"Andrew G. Moore, Isaac K. Martin, Zachary Richey","submitted_at":"2025-07-16T20:41:09Z","abstract_excerpt":"We contribute to the mathematical theory of the design of low temperature Ising machines, a type of experimental probabilistic computing device implementing the Ising model. Encoding the output of a function in the ground state of a physical system allows efficient and distributed computation, but the design of the energy function is a difficult puzzle. We introduce a diagrammatic device that allows us to visualize the decision boundaries for Ising circuits. It is then used to prove two results: (1) Ising circuits are a generalization of 1-NN classifiers with a certain special structure, and ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12626","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.12626/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":"2026-07-05T11:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqIBrG1lI3nnHl4o9iv2/1aQLtJCfrL5NaMh5d3EetMXS2Oxx/4KRqxTbzntrsFPgZ2UxbifCskxSeRAzpVLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:39:47.818316Z"},"content_sha256":"ae1aef770257033c251b55c529d610fc2f885f204ea976a64b78ba90be03786d","schema_version":"1.0","event_id":"sha256:ae1aef770257033c251b55c529d610fc2f885f204ea976a64b78ba90be03786d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WDIOXABSNDMG3RFOT7EC4TKSD7/bundle.json","state_url":"https://pith.science/pith/WDIOXABSNDMG3RFOT7EC4TKSD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WDIOXABSNDMG3RFOT7EC4TKSD7/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":"2026-08-08T11:39:47Z","links":{"resolver":"https://pith.science/pith/WDIOXABSNDMG3RFOT7EC4TKSD7","bundle":"https://pith.science/pith/WDIOXABSNDMG3RFOT7EC4TKSD7/bundle.json","state":"https://pith.science/pith/WDIOXABSNDMG3RFOT7EC4TKSD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WDIOXABSNDMG3RFOT7EC4TKSD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WDIOXABSNDMG3RFOT7EC4TKSD7","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":"e077f9fc6cb8e079e719710fcb4b0c7d8cdf4bafce95ce19c7265aef97f74bbe","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2025-07-16T20:41:09Z","title_canon_sha256":"9b00054bf0c75a56bf17c38a026caa574c2c9e71a793de2571d600f3ebd2c768"},"schema_version":"1.0","source":{"id":"2507.12626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12626","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12626v1","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12626","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"WDIOXABSNDMG","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"pith_short_16","alias_value":"WDIOXABSNDMG3RFO","created_at":"2026-07-05T11:38:35Z"},{"alias_kind":"pith_short_8","alias_value":"WDIOXABS","created_at":"2026-07-05T11:38:35Z"}],"graph_snapshots":[{"event_id":"sha256:ae1aef770257033c251b55c529d610fc2f885f204ea976a64b78ba90be03786d","target":"graph","created_at":"2026-07-05T11:38:35Z","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/2507.12626/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We contribute to the mathematical theory of the design of low temperature Ising machines, a type of experimental probabilistic computing device implementing the Ising model. Encoding the output of a function in the ground state of a physical system allows efficient and distributed computation, but the design of the energy function is a difficult puzzle. We introduce a diagrammatic device that allows us to visualize the decision boundaries for Ising circuits. It is then used to prove two results: (1) Ising circuits are a generalization of 1-NN classifiers with a certain special structure, and (","authors_text":"Andrew G. Moore, Isaac K. Martin, Zachary Richey","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2025-07-16T20:41:09Z","title":"Geometric Theory of Ising Machines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12626","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":"sha256:80ba5d30584cb08f8c64326314feeb4f0b661c59745318cdd0f0511ad2940102","target":"record","created_at":"2026-07-05T11:38:35Z","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":"e077f9fc6cb8e079e719710fcb4b0c7d8cdf4bafce95ce19c7265aef97f74bbe","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2025-07-16T20:41:09Z","title_canon_sha256":"9b00054bf0c75a56bf17c38a026caa574c2c9e71a793de2571d600f3ebd2c768"},"schema_version":"1.0","source":{"id":"2507.12626","kind":"arxiv","version":1}},"canonical_sha256":"b0d0eb803268d86dc4ae9fc82e4d521fe1724df51d2303e50954fc6373d5aa9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0d0eb803268d86dc4ae9fc82e4d521fe1724df51d2303e50954fc6373d5aa9b","first_computed_at":"2026-07-05T11:38:35.954544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:35.954544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bLphxYlneZTnzBl9PUmeLTu1bxaU95iTonSvY+ukk3Ayh8aYva93ss01pYVqgwHpI/rR5sMXBbqJWhJbu2dmBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:35.955476Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.12626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80ba5d30584cb08f8c64326314feeb4f0b661c59745318cdd0f0511ad2940102","sha256:ae1aef770257033c251b55c529d610fc2f885f204ea976a64b78ba90be03786d"],"state_sha256":"f34c50b2d23240402ac6918127489f5db833ff131f2dcf6a33613a459640c196"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tc+hmLELUJRlcckkVxW10hYcycA7LIogZcQYPpcPj1yNA3RKfjJzXoyn4Ky/gIsDNkrRWxgOS7q9ePB1a3PDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T11:39:47.823157Z","bundle_sha256":"c78464f50152b231def7d0fe2afc808f7a6e5d6ef3c737a78a21b1099bc3bf5e"}}