{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EEE5NNJM4JNQ2PVYEIRCPCRLJE","short_pith_number":"pith:EEE5NNJM","canonical_record":{"source":{"id":"2503.04047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-03-06T03:01:25Z","cross_cats_sorted":["cs.LG","math.OC"],"title_canon_sha256":"775150352e585dcf92e149aaedfbb967e4f4aa3c518cbf0e36e232a820887c9f","abstract_canon_sha256":"25a3e52de2394c5c192d40692d8f213de3a3ce3ebbe6687f145c996f794d123a"},"schema_version":"1.0"},"canonical_sha256":"2109d6b52ce25b0d3eb82222278a2b493ff4a648d0f9a1e10c12118861c23a5f","source":{"kind":"arxiv","id":"2503.04047","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.04047","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"2503.04047v1","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.04047","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"EEE5NNJM4JNQ","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"pith_short_16","alias_value":"EEE5NNJM4JNQ2PVY","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"pith_short_8","alias_value":"EEE5NNJM","created_at":"2026-07-05T10:25:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EEE5NNJM4JNQ2PVYEIRCPCRLJE","target":"record","payload":{"canonical_record":{"source":{"id":"2503.04047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-03-06T03:01:25Z","cross_cats_sorted":["cs.LG","math.OC"],"title_canon_sha256":"775150352e585dcf92e149aaedfbb967e4f4aa3c518cbf0e36e232a820887c9f","abstract_canon_sha256":"25a3e52de2394c5c192d40692d8f213de3a3ce3ebbe6687f145c996f794d123a"},"schema_version":"1.0"},"canonical_sha256":"2109d6b52ce25b0d3eb82222278a2b493ff4a648d0f9a1e10c12118861c23a5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:25:27.390267Z","signature_b64":"eFqjfWZjTM4iAoauSfLEeplcW1R9f5yQbuq53u4z2EFrseUusgRKx1m5DffSeRZbqbtx3usdhX9Zp6ampgPsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2109d6b52ce25b0d3eb82222278a2b493ff4a648d0f9a1e10c12118861c23a5f","last_reissued_at":"2026-07-05T10:25:27.389480Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:25:27.389480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.04047","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":"2026-07-05T10:25:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0lpeMMR9/8syqiFyyjwyvfhmfdIjBoGXMXynjwCUbMqrmU2H8X7OVEwb0b5ST04AqIlILEuaBKkdbdwCLYIDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:32:07.811069Z"},"content_sha256":"315e3c6799b14fc43c536c8ed288b5d01204a5029eca3f00e01d18ed74345306","schema_version":"1.0","event_id":"sha256:315e3c6799b14fc43c536c8ed288b5d01204a5029eca3f00e01d18ed74345306"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EEE5NNJM4JNQ2PVYEIRCPCRLJE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reheated Gradient-based Discrete Sampling for Combinatorial Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.OC"],"primary_cat":"stat.ML","authors_text":"Muheng Li, Ruqi Zhang","submitted_at":"2025-03-06T03:01:25Z","abstract_excerpt":"Recently, gradient-based discrete sampling has emerged as a highly efficient, general-purpose solver for various combinatorial optimization (CO) problems, achieving performance comparable to or surpassing the popular data-driven approaches. However, we identify a critical issue in these methods, which we term ''wandering in contours''. This behavior refers to sampling new different solutions that share very similar objective values for a long time, leading to computational inefficiency and suboptimal exploration of potential solutions. In this paper, we introduce a novel reheating mechanism in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.04047","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/2503.04047/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":"2026-07-05T10:25:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EhB/JT32NsVEk0PfjtQ/K1vEO04NIG2HOK64MlF64LJdywhZP9gTVj1DJA6n45nbnm++bWIW66Sd4WvrmQb2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:32:07.811752Z"},"content_sha256":"810aac140a53804997ffa059990d956564e39ad6682a44e8d87b58fc56c23e12","schema_version":"1.0","event_id":"sha256:810aac140a53804997ffa059990d956564e39ad6682a44e8d87b58fc56c23e12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EEE5NNJM4JNQ2PVYEIRCPCRLJE/bundle.json","state_url":"https://pith.science/pith/EEE5NNJM4JNQ2PVYEIRCPCRLJE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EEE5NNJM4JNQ2PVYEIRCPCRLJE/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":"2026-08-11T13:32:07Z","links":{"resolver":"https://pith.science/pith/EEE5NNJM4JNQ2PVYEIRCPCRLJE","bundle":"https://pith.science/pith/EEE5NNJM4JNQ2PVYEIRCPCRLJE/bundle.json","state":"https://pith.science/pith/EEE5NNJM4JNQ2PVYEIRCPCRLJE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EEE5NNJM4JNQ2PVYEIRCPCRLJE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EEE5NNJM4JNQ2PVYEIRCPCRLJE","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":"25a3e52de2394c5c192d40692d8f213de3a3ce3ebbe6687f145c996f794d123a","cross_cats_sorted":["cs.LG","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-03-06T03:01:25Z","title_canon_sha256":"775150352e585dcf92e149aaedfbb967e4f4aa3c518cbf0e36e232a820887c9f"},"schema_version":"1.0","source":{"id":"2503.04047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.04047","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"2503.04047v1","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.04047","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"EEE5NNJM4JNQ","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"pith_short_16","alias_value":"EEE5NNJM4JNQ2PVY","created_at":"2026-07-05T10:25:27Z"},{"alias_kind":"pith_short_8","alias_value":"EEE5NNJM","created_at":"2026-07-05T10:25:27Z"}],"graph_snapshots":[{"event_id":"sha256:810aac140a53804997ffa059990d956564e39ad6682a44e8d87b58fc56c23e12","target":"graph","created_at":"2026-07-05T10:25:27Z","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/2503.04047/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, gradient-based discrete sampling has emerged as a highly efficient, general-purpose solver for various combinatorial optimization (CO) problems, achieving performance comparable to or surpassing the popular data-driven approaches. However, we identify a critical issue in these methods, which we term ''wandering in contours''. This behavior refers to sampling new different solutions that share very similar objective values for a long time, leading to computational inefficiency and suboptimal exploration of potential solutions. In this paper, we introduce a novel reheating mechanism in","authors_text":"Muheng Li, Ruqi Zhang","cross_cats":["cs.LG","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-03-06T03:01:25Z","title":"Reheated Gradient-based Discrete Sampling for Combinatorial Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.04047","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":"sha256:315e3c6799b14fc43c536c8ed288b5d01204a5029eca3f00e01d18ed74345306","target":"record","created_at":"2026-07-05T10:25:27Z","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":"25a3e52de2394c5c192d40692d8f213de3a3ce3ebbe6687f145c996f794d123a","cross_cats_sorted":["cs.LG","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-03-06T03:01:25Z","title_canon_sha256":"775150352e585dcf92e149aaedfbb967e4f4aa3c518cbf0e36e232a820887c9f"},"schema_version":"1.0","source":{"id":"2503.04047","kind":"arxiv","version":1}},"canonical_sha256":"2109d6b52ce25b0d3eb82222278a2b493ff4a648d0f9a1e10c12118861c23a5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2109d6b52ce25b0d3eb82222278a2b493ff4a648d0f9a1e10c12118861c23a5f","first_computed_at":"2026-07-05T10:25:27.389480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:25:27.389480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eFqjfWZjTM4iAoauSfLEeplcW1R9f5yQbuq53u4z2EFrseUusgRKx1m5DffSeRZbqbtx3usdhX9Zp6ampgPsDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:25:27.390267Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.04047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:315e3c6799b14fc43c536c8ed288b5d01204a5029eca3f00e01d18ed74345306","sha256:810aac140a53804997ffa059990d956564e39ad6682a44e8d87b58fc56c23e12"],"state_sha256":"d299d20dfd15cc80b27f4a961be426ec23b80d76513fedda7316060e133d3b3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yxqD0t0ufFCiF0uSF0DI2Nh91R/8QiC26d6uWHRWk3AD09oV89CKMi2sJgdFaAP7qkfrEB4AnK8wfgS9NrlGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T13:32:07.817131Z","bundle_sha256":"1f8091a63e82d9b2dc23ed5fd51e748377d65cbdc12f8820f9afbc9008ac647b"}}