{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:NQ5CJZWN3TWUNLJKWTGNZ4EWDG","short_pith_number":"pith:NQ5CJZWN","canonical_record":{"source":{"id":"2508.00565","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-01T12:05:39Z","cross_cats_sorted":["math-ph","math.MP","nlin.AO","nlin.CG","physics.app-ph"],"title_canon_sha256":"558a8621e81b7fa4c834037b41c28bc5456e773ef0c46a3341293ba30bf67e2e","abstract_canon_sha256":"bf2a90e60b194464533e3b53ae5db9a814a6e8159dd3078a7c50eb6a6ca3cd19"},"schema_version":"1.0"},"canonical_sha256":"6c3a24e6cddced46ad2ab4ccdcf09619bacbd91ef4b67ab25adb5666961d4b1e","source":{"kind":"arxiv","id":"2508.00565","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.00565","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"2508.00565v2","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.00565","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"NQ5CJZWN3TWU","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"pith_short_16","alias_value":"NQ5CJZWN3TWUNLJK","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"pith_short_8","alias_value":"NQ5CJZWN","created_at":"2026-07-05T11:48:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:NQ5CJZWN3TWUNLJKWTGNZ4EWDG","target":"record","payload":{"canonical_record":{"source":{"id":"2508.00565","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-01T12:05:39Z","cross_cats_sorted":["math-ph","math.MP","nlin.AO","nlin.CG","physics.app-ph"],"title_canon_sha256":"558a8621e81b7fa4c834037b41c28bc5456e773ef0c46a3341293ba30bf67e2e","abstract_canon_sha256":"bf2a90e60b194464533e3b53ae5db9a814a6e8159dd3078a7c50eb6a6ca3cd19"},"schema_version":"1.0"},"canonical_sha256":"6c3a24e6cddced46ad2ab4ccdcf09619bacbd91ef4b67ab25adb5666961d4b1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:48:52.202890Z","signature_b64":"U9jzHHAjmts5tuMmRn/HsRlZ5TKMFXJh9F6tafgGvjIr7eph8rR8qZ3qUuXpdCQWI7Zq8Kn+Axr8znUN2l35CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c3a24e6cddced46ad2ab4ccdcf09619bacbd91ef4b67ab25adb5666961d4b1e","last_reissued_at":"2026-07-05T11:48:52.202338Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:48:52.202338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.00565","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":"2026-07-05T11:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"65ZpH4N2zJOsLw1ormttkFQ51hVUyuqD/K9Kn0Qqv7EvGitlpw5F4394/39nH2Va0c5fJdY8u7nC/paogthFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:49:29.878704Z"},"content_sha256":"2f422c8e189d5afd6f2e98b6c6a737e60221ab6038d870ca924f1c6ec21dd743","schema_version":"1.0","event_id":"sha256:2f422c8e189d5afd6f2e98b6c6a737e60221ab6038d870ca924f1c6ec21dd743"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:NQ5CJZWN3TWUNLJKWTGNZ4EWDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A More Convex Ising Formulation of Max-3-Cut Using Higher-Order Spin Interactions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.AO","nlin.CG","physics.app-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Guy Van der Sande, Peter Bienstman, Robbe De Prins, Thomas Van Vaerenbergh","submitted_at":"2025-08-01T12:05:39Z","abstract_excerpt":"Many combinatorial optimization problems (COPs) are naturally expressed using variables that take on more than two discrete values. To solve such problems using Ising machines (IMs) - specialized analog or digital devices designed to solve COPs efficiently - these multi-valued integers must be encoded using binary spin variables. A common approach is one-hot encoding, where each variable is represented by a group of spins constrained so that exactly one spin is in the \"up\" state. However, this encoding introduces energy barriers: changing an integer's value requires flipping two spins and pass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.00565","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/2508.00565/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":"2026-07-05T11:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m6ZMqyR9Cdf9Rol929a9zGQaJCodkOXS63NRBENKPqNeJxw6Km9fRFo/Gd3vdc3MXn1xMqfmzXVbdBFVzELoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:49:29.879214Z"},"content_sha256":"0547c762a8f67c5560d9999487d8d78f88a96dfacb254bdd9c1ff2dac807836c","schema_version":"1.0","event_id":"sha256:0547c762a8f67c5560d9999487d8d78f88a96dfacb254bdd9c1ff2dac807836c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NQ5CJZWN3TWUNLJKWTGNZ4EWDG/bundle.json","state_url":"https://pith.science/pith/NQ5CJZWN3TWUNLJKWTGNZ4EWDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NQ5CJZWN3TWUNLJKWTGNZ4EWDG/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":"2026-08-10T16:49:29Z","links":{"resolver":"https://pith.science/pith/NQ5CJZWN3TWUNLJKWTGNZ4EWDG","bundle":"https://pith.science/pith/NQ5CJZWN3TWUNLJKWTGNZ4EWDG/bundle.json","state":"https://pith.science/pith/NQ5CJZWN3TWUNLJKWTGNZ4EWDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NQ5CJZWN3TWUNLJKWTGNZ4EWDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NQ5CJZWN3TWUNLJKWTGNZ4EWDG","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":"bf2a90e60b194464533e3b53ae5db9a814a6e8159dd3078a7c50eb6a6ca3cd19","cross_cats_sorted":["math-ph","math.MP","nlin.AO","nlin.CG","physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-01T12:05:39Z","title_canon_sha256":"558a8621e81b7fa4c834037b41c28bc5456e773ef0c46a3341293ba30bf67e2e"},"schema_version":"1.0","source":{"id":"2508.00565","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.00565","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"2508.00565v2","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.00565","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"NQ5CJZWN3TWU","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"pith_short_16","alias_value":"NQ5CJZWN3TWUNLJK","created_at":"2026-07-05T11:48:52Z"},{"alias_kind":"pith_short_8","alias_value":"NQ5CJZWN","created_at":"2026-07-05T11:48:52Z"}],"graph_snapshots":[{"event_id":"sha256:0547c762a8f67c5560d9999487d8d78f88a96dfacb254bdd9c1ff2dac807836c","target":"graph","created_at":"2026-07-05T11:48:52Z","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/2508.00565/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many combinatorial optimization problems (COPs) are naturally expressed using variables that take on more than two discrete values. To solve such problems using Ising machines (IMs) - specialized analog or digital devices designed to solve COPs efficiently - these multi-valued integers must be encoded using binary spin variables. A common approach is one-hot encoding, where each variable is represented by a group of spins constrained so that exactly one spin is in the \"up\" state. However, this encoding introduces energy barriers: changing an integer's value requires flipping two spins and pass","authors_text":"Guy Van der Sande, Peter Bienstman, Robbe De Prins, Thomas Van Vaerenbergh","cross_cats":["math-ph","math.MP","nlin.AO","nlin.CG","physics.app-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-01T12:05:39Z","title":"A More Convex Ising Formulation of Max-3-Cut Using Higher-Order Spin Interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.00565","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":"sha256:2f422c8e189d5afd6f2e98b6c6a737e60221ab6038d870ca924f1c6ec21dd743","target":"record","created_at":"2026-07-05T11:48:52Z","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":"bf2a90e60b194464533e3b53ae5db9a814a6e8159dd3078a7c50eb6a6ca3cd19","cross_cats_sorted":["math-ph","math.MP","nlin.AO","nlin.CG","physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-01T12:05:39Z","title_canon_sha256":"558a8621e81b7fa4c834037b41c28bc5456e773ef0c46a3341293ba30bf67e2e"},"schema_version":"1.0","source":{"id":"2508.00565","kind":"arxiv","version":2}},"canonical_sha256":"6c3a24e6cddced46ad2ab4ccdcf09619bacbd91ef4b67ab25adb5666961d4b1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c3a24e6cddced46ad2ab4ccdcf09619bacbd91ef4b67ab25adb5666961d4b1e","first_computed_at":"2026-07-05T11:48:52.202338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:48:52.202338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U9jzHHAjmts5tuMmRn/HsRlZ5TKMFXJh9F6tafgGvjIr7eph8rR8qZ3qUuXpdCQWI7Zq8Kn+Axr8znUN2l35CA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:48:52.202890Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.00565","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f422c8e189d5afd6f2e98b6c6a737e60221ab6038d870ca924f1c6ec21dd743","sha256:0547c762a8f67c5560d9999487d8d78f88a96dfacb254bdd9c1ff2dac807836c"],"state_sha256":"3d51781be7c348f585a0f2dd8baaa0981796cbb376fdf5ad18849f0af629c58e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yCapdYnXNL2Ds2+Wr7YhXLymCsRENbAYoU7dUxSRYHmEzdQ0OvPjudDf0cPY6vbnYS/fm/WzVpnX2UvlogfWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T16:49:29.882845Z","bundle_sha256":"9043cbf57a665fd47b8b5e250f45cd3a1fe639a293f9117406a9e892d0cd7540"}}