{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PEJS4VK76TG3YSLTXLJCLA5LHV","short_pith_number":"pith:PEJS4VK7","canonical_record":{"source":{"id":"2605.24502","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-23T10:18:58Z","cross_cats_sorted":["cs.LG","math.CO","physics.comp-ph"],"title_canon_sha256":"27b43141aff94c9859bbaaa34d8a8b99ff5ca1c0416b35890bfc92ef97d98ea1","abstract_canon_sha256":"0fb7da638b95120954851a8946c38fbfb884ac48eea29c62864b274146920367"},"schema_version":"1.0"},"canonical_sha256":"79132e555ff4cdbc4973bad22583ab3d5f356fcb2171bc5fb589efc22a199673","source":{"kind":"arxiv","id":"2605.24502","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24502","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24502v1","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24502","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"PEJS4VK76TG3","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"pith_short_16","alias_value":"PEJS4VK76TG3YSLT","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"pith_short_8","alias_value":"PEJS4VK7","created_at":"2026-05-26T01:03:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PEJS4VK76TG3YSLTXLJCLA5LHV","target":"record","payload":{"canonical_record":{"source":{"id":"2605.24502","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-23T10:18:58Z","cross_cats_sorted":["cs.LG","math.CO","physics.comp-ph"],"title_canon_sha256":"27b43141aff94c9859bbaaa34d8a8b99ff5ca1c0416b35890bfc92ef97d98ea1","abstract_canon_sha256":"0fb7da638b95120954851a8946c38fbfb884ac48eea29c62864b274146920367"},"schema_version":"1.0"},"canonical_sha256":"79132e555ff4cdbc4973bad22583ab3d5f356fcb2171bc5fb589efc22a199673","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T01:03:43.295842Z","signature_b64":"Au62C0omg6KRp/J19Hvdy8Yn3jHGDYYKwUQFWelVKN6neVrQR/haKsX2V52kHODZ5SH/m3k/ma+POs0A54dzCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79132e555ff4cdbc4973bad22583ab3d5f356fcb2171bc5fb589efc22a199673","last_reissued_at":"2026-05-26T01:03:43.295021Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T01:03:43.295021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.24502","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":"2026-05-26T01:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YdjaZkA/2LVPY3N2WqCNyf2kOT0EUnDeJv8ZlJcVWRygL5hbq5cGl50sAPtXH/E/24btAn2Z5/Htvagzo/tpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:41:52.040875Z"},"content_sha256":"419687f1e037ffaa7c3860eec0c6845a5393ef8e1895871970d282f8e7df68cd","schema_version":"1.0","event_id":"sha256:419687f1e037ffaa7c3860eec0c6845a5393ef8e1895871970d282f8e7df68cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PEJS4VK76TG3YSLTXLJCLA5LHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implicit Binarization via Complex Phase Dynamics in Combinatorial Optimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","math.CO","physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Khen Cohen, Mark Glass, Meir Feder, Yaron Oz","submitted_at":"2026-05-23T10:18:58Z","abstract_excerpt":"We introduce a physics-inspired continuous relaxation framework that yields substantially improved solutions for NP-hard combinatorial optimization problems, including Quadratic Unconstrained Binary Optimization (QUBO), binary sparse coding, and planted-solution Ising models. By parameterizing discrete binary variables as continuous wave-like states on the complex unit circle, we inherently smooth highly non-convex energy landscapes. We show that representing binary variables as complex phases reveals an implicit regularization mechanism that promotes convergence toward discrete states. Extrac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24502","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/2605.24502/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":"2026-05-26T01:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FFuMTIn2/tUCG5kEHocu4NHkglMiNoNYgIXAc84gDAcjuASA0vfb7q1Fcunusf6qjPTuJgzlXYGc06lKmnXEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:41:52.041247Z"},"content_sha256":"5598bdb6e26f72ef2df6a8e1dd65052890be874558e989ec4de061e5ceb829bb","schema_version":"1.0","event_id":"sha256:5598bdb6e26f72ef2df6a8e1dd65052890be874558e989ec4de061e5ceb829bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PEJS4VK76TG3YSLTXLJCLA5LHV/bundle.json","state_url":"https://pith.science/pith/PEJS4VK76TG3YSLTXLJCLA5LHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PEJS4VK76TG3YSLTXLJCLA5LHV/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":"2026-07-04T23:41:52Z","links":{"resolver":"https://pith.science/pith/PEJS4VK76TG3YSLTXLJCLA5LHV","bundle":"https://pith.science/pith/PEJS4VK76TG3YSLTXLJCLA5LHV/bundle.json","state":"https://pith.science/pith/PEJS4VK76TG3YSLTXLJCLA5LHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PEJS4VK76TG3YSLTXLJCLA5LHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PEJS4VK76TG3YSLTXLJCLA5LHV","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":"0fb7da638b95120954851a8946c38fbfb884ac48eea29c62864b274146920367","cross_cats_sorted":["cs.LG","math.CO","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-23T10:18:58Z","title_canon_sha256":"27b43141aff94c9859bbaaa34d8a8b99ff5ca1c0416b35890bfc92ef97d98ea1"},"schema_version":"1.0","source":{"id":"2605.24502","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24502","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24502v1","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24502","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"PEJS4VK76TG3","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"pith_short_16","alias_value":"PEJS4VK76TG3YSLT","created_at":"2026-05-26T01:03:43Z"},{"alias_kind":"pith_short_8","alias_value":"PEJS4VK7","created_at":"2026-05-26T01:03:43Z"}],"graph_snapshots":[{"event_id":"sha256:5598bdb6e26f72ef2df6a8e1dd65052890be874558e989ec4de061e5ceb829bb","target":"graph","created_at":"2026-05-26T01:03:43Z","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/2605.24502/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a physics-inspired continuous relaxation framework that yields substantially improved solutions for NP-hard combinatorial optimization problems, including Quadratic Unconstrained Binary Optimization (QUBO), binary sparse coding, and planted-solution Ising models. By parameterizing discrete binary variables as continuous wave-like states on the complex unit circle, we inherently smooth highly non-convex energy landscapes. We show that representing binary variables as complex phases reveals an implicit regularization mechanism that promotes convergence toward discrete states. Extrac","authors_text":"Khen Cohen, Mark Glass, Meir Feder, Yaron Oz","cross_cats":["cs.LG","math.CO","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-23T10:18:58Z","title":"Implicit Binarization via Complex Phase Dynamics in Combinatorial Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24502","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":"sha256:419687f1e037ffaa7c3860eec0c6845a5393ef8e1895871970d282f8e7df68cd","target":"record","created_at":"2026-05-26T01:03:43Z","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":"0fb7da638b95120954851a8946c38fbfb884ac48eea29c62864b274146920367","cross_cats_sorted":["cs.LG","math.CO","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-23T10:18:58Z","title_canon_sha256":"27b43141aff94c9859bbaaa34d8a8b99ff5ca1c0416b35890bfc92ef97d98ea1"},"schema_version":"1.0","source":{"id":"2605.24502","kind":"arxiv","version":1}},"canonical_sha256":"79132e555ff4cdbc4973bad22583ab3d5f356fcb2171bc5fb589efc22a199673","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79132e555ff4cdbc4973bad22583ab3d5f356fcb2171bc5fb589efc22a199673","first_computed_at":"2026-05-26T01:03:43.295021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:03:43.295021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Au62C0omg6KRp/J19Hvdy8Yn3jHGDYYKwUQFWelVKN6neVrQR/haKsX2V52kHODZ5SH/m3k/ma+POs0A54dzCQ==","signature_status":"signed_v1","signed_at":"2026-05-26T01:03:43.295842Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.24502","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:419687f1e037ffaa7c3860eec0c6845a5393ef8e1895871970d282f8e7df68cd","sha256:5598bdb6e26f72ef2df6a8e1dd65052890be874558e989ec4de061e5ceb829bb"],"state_sha256":"d1486bef8ba57dc80d8c2cdd54dbbef73dd71113e22a6167b0b092e5f7718e7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MDVdg5px/Ex6VvmcHFUiOeMCM0JHVj15+rJZ7GRFt+/9yCG3mL7tKx+x0pD+U8nzdAoQHZeel63UkBAkBDJSCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:41:52.043211Z","bundle_sha256":"51a20647a79b25de24340cd5e89f6be296950cf9d10b064556fb520b004ae303"}}