{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UOWEDYMBNI7YFGFFJIVW5ULLF5","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":"ee709045542642f85a438c8f174c9ad266165b9f86e2069fd5b0d24c84423502","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.AI","submitted_at":"2023-08-30T01:59:42Z","title_canon_sha256":"6862f0931a6edeb6c0eed8c7f6884ee035e61d847397dc54d86dde4fc713faee"},"schema_version":"1.0","source":{"id":"2308.15704","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.15704","created_at":"2026-07-05T06:46:12Z"},{"alias_kind":"arxiv_version","alias_value":"2308.15704v1","created_at":"2026-07-05T06:46:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.15704","created_at":"2026-07-05T06:46:12Z"},{"alias_kind":"pith_short_12","alias_value":"UOWEDYMBNI7Y","created_at":"2026-07-05T06:46:12Z"},{"alias_kind":"pith_short_16","alias_value":"UOWEDYMBNI7YFGFF","created_at":"2026-07-05T06:46:12Z"},{"alias_kind":"pith_short_8","alias_value":"UOWEDYMB","created_at":"2026-07-05T06:46:12Z"}],"graph_snapshots":[{"event_id":"sha256:03f43739a149fafea41821c2e03d62c1a3947ae4749b6cf1af67518a8a20b90a","target":"graph","created_at":"2026-07-05T06:46:12Z","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/2308.15704/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Contrastive learning has emerged as a cornerstone in recent achievements of unsupervised representation learning. Its primary paradigm involves an instance discrimination task with a mutual information loss. The loss is known as InfoNCE and it has yielded vital insights into contrastive learning through the lens of mutual information analysis. However, the estimation of mutual information can prove challenging, creating a gap between the elegance of its mathematical foundation and the complexity of its estimation. As a result, drawing rigorous insights or conclusions from mutual information an","authors_text":"Jaeill Kim, Kyungeun Lee, Suhyun Kang, Wonjong Rhee","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.AI","submitted_at":"2023-08-30T01:59:42Z","title":"Towards a Rigorous Analysis of Mutual Information in Contrastive Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.15704","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:c21770f52283d6b6252dd16c1e3203c4e6570fafcd179e221050ca865394469f","target":"record","created_at":"2026-07-05T06:46:12Z","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":"ee709045542642f85a438c8f174c9ad266165b9f86e2069fd5b0d24c84423502","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.AI","submitted_at":"2023-08-30T01:59:42Z","title_canon_sha256":"6862f0931a6edeb6c0eed8c7f6884ee035e61d847397dc54d86dde4fc713faee"},"schema_version":"1.0","source":{"id":"2308.15704","kind":"arxiv","version":1}},"canonical_sha256":"a3ac41e1816a3f8298a54a2b6ed16b2f7de8a68097cee3d74feb3953fbf6b209","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3ac41e1816a3f8298a54a2b6ed16b2f7de8a68097cee3d74feb3953fbf6b209","first_computed_at":"2026-07-05T06:46:12.021276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:12.021276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"64dMCSDsP4hRuRxfdNeAc01UeSvfZEGx9z2ZamN5hqMxGes2lpZRtZL1RZFxaUsgqgGmGlyulFnP459RVl+tAg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:12.021650Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.15704","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c21770f52283d6b6252dd16c1e3203c4e6570fafcd179e221050ca865394469f","sha256:03f43739a149fafea41821c2e03d62c1a3947ae4749b6cf1af67518a8a20b90a"],"state_sha256":"c67a1c59377e2bd6a179879cb1b0094196b0ae6af71707fe5b4e980fa0312b2e"}