{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:L3GTNFUTEVYSSI6K6FG6L5WTAZ","short_pith_number":"pith:L3GTNFUT","canonical_record":{"source":{"id":"2010.01929","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2020-10-05T11:39:04Z","cross_cats_sorted":[],"title_canon_sha256":"a49f1f6c1e6add8e90520f8e1b9014c16542a57217ccc303de4d035ed5c4618a","abstract_canon_sha256":"511e953d462dccc0ef1998be9968b43e269aa5c15aa2f496f6bc71baf581b165"},"schema_version":"1.0"},"canonical_sha256":"5ecd36969325712923caf14de5f6d30663a54b4dbc675c092ebeb21f7c08a527","source":{"kind":"arxiv","id":"2010.01929","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.01929","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"2010.01929v4","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.01929","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"L3GTNFUTEVYS","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_16","alias_value":"L3GTNFUTEVYSSI6K","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_8","alias_value":"L3GTNFUT","created_at":"2026-07-05T05:45:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:L3GTNFUTEVYSSI6K6FG6L5WTAZ","target":"record","payload":{"canonical_record":{"source":{"id":"2010.01929","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2020-10-05T11:39:04Z","cross_cats_sorted":[],"title_canon_sha256":"a49f1f6c1e6add8e90520f8e1b9014c16542a57217ccc303de4d035ed5c4618a","abstract_canon_sha256":"511e953d462dccc0ef1998be9968b43e269aa5c15aa2f496f6bc71baf581b165"},"schema_version":"1.0"},"canonical_sha256":"5ecd36969325712923caf14de5f6d30663a54b4dbc675c092ebeb21f7c08a527","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:45:23.062869Z","signature_b64":"r+JuiPE/EtAqCBkeuu9yTA4zVp+VXicM5Xo4K6SwjxCXhl11mf0IMe0lxYY6u3s6wW/qPEy9cDWTBjaCDkl/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ecd36969325712923caf14de5f6d30663a54b4dbc675c092ebeb21f7c08a527","last_reissued_at":"2026-07-05T05:45:23.062426Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:45:23.062426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.01929","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:45:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YsiIbEGGOkgFGAGSvgJ81Y2aEAOvwmOsGmpYwf5YVcuFl3Y2BVNcwNU/Jr4rdi9TSBYLcR9ny8qqisGLREvCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T04:34:17.757151Z"},"content_sha256":"96344775f559551f36044cc13c76ac02edae958c16dc5dabaf8cf936d500f89d","schema_version":"1.0","event_id":"sha256:96344775f559551f36044cc13c76ac02edae958c16dc5dabaf8cf936d500f89d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:L3GTNFUTEVYSSI6K6FG6L5WTAZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"EqCo: Equivalent Rules for Self-supervised Contrastive Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Benjin Zhu, Jian Sun, Junqiang Huang, Xiangyu Zhang, Zeming Li","submitted_at":"2020-10-05T11:39:04Z","abstract_excerpt":"In this paper, we propose EqCo (Equivalent Rules for Contrastive Learning) to make self-supervised learning irrelevant to the number of negative samples in the contrastive learning framework. Inspired by the InfoMax principle, we point that the margin term in contrastive loss needs to be adaptively scaled according to the number of negative pairs in order to keep steady mutual information bound and gradient magnitude. EqCo bridges the performance gap among a wide range of negative sample sizes, so that for the first time, we can use only a few negative pairs (e.g., 16 per query) to perform sel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.01929","kind":"arxiv","version":4},"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/2010.01929/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":"2026-07-05T05:45:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5lN18VzDIkj09JSiXsGg9WR77a9bCwxGJoHWdj9xRHLCrN2abp+i5mVoxG3CoyMb9AYGUU8CwYwb9i8xloboBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T04:34:17.757560Z"},"content_sha256":"84c30042868252d80856af635359fc82f9a3fb5ebb38737096a1114255ec0bb1","schema_version":"1.0","event_id":"sha256:84c30042868252d80856af635359fc82f9a3fb5ebb38737096a1114255ec0bb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3GTNFUTEVYSSI6K6FG6L5WTAZ/bundle.json","state_url":"https://pith.science/pith/L3GTNFUTEVYSSI6K6FG6L5WTAZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3GTNFUTEVYSSI6K6FG6L5WTAZ/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":"2026-07-07T04:34:17Z","links":{"resolver":"https://pith.science/pith/L3GTNFUTEVYSSI6K6FG6L5WTAZ","bundle":"https://pith.science/pith/L3GTNFUTEVYSSI6K6FG6L5WTAZ/bundle.json","state":"https://pith.science/pith/L3GTNFUTEVYSSI6K6FG6L5WTAZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3GTNFUTEVYSSI6K6FG6L5WTAZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:L3GTNFUTEVYSSI6K6FG6L5WTAZ","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":"511e953d462dccc0ef1998be9968b43e269aa5c15aa2f496f6bc71baf581b165","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2020-10-05T11:39:04Z","title_canon_sha256":"a49f1f6c1e6add8e90520f8e1b9014c16542a57217ccc303de4d035ed5c4618a"},"schema_version":"1.0","source":{"id":"2010.01929","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.01929","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"2010.01929v4","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.01929","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"L3GTNFUTEVYS","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_16","alias_value":"L3GTNFUTEVYSSI6K","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_8","alias_value":"L3GTNFUT","created_at":"2026-07-05T05:45:23Z"}],"graph_snapshots":[{"event_id":"sha256:84c30042868252d80856af635359fc82f9a3fb5ebb38737096a1114255ec0bb1","target":"graph","created_at":"2026-07-05T05:45:23Z","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/2010.01929/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose EqCo (Equivalent Rules for Contrastive Learning) to make self-supervised learning irrelevant to the number of negative samples in the contrastive learning framework. Inspired by the InfoMax principle, we point that the margin term in contrastive loss needs to be adaptively scaled according to the number of negative pairs in order to keep steady mutual information bound and gradient magnitude. EqCo bridges the performance gap among a wide range of negative sample sizes, so that for the first time, we can use only a few negative pairs (e.g., 16 per query) to perform sel","authors_text":"Benjin Zhu, Jian Sun, Junqiang Huang, Xiangyu Zhang, Zeming Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2020-10-05T11:39:04Z","title":"EqCo: Equivalent Rules for Self-supervised Contrastive Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.01929","kind":"arxiv","version":4},"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":"sha256:96344775f559551f36044cc13c76ac02edae958c16dc5dabaf8cf936d500f89d","target":"record","created_at":"2026-07-05T05:45:23Z","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":"511e953d462dccc0ef1998be9968b43e269aa5c15aa2f496f6bc71baf581b165","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2020-10-05T11:39:04Z","title_canon_sha256":"a49f1f6c1e6add8e90520f8e1b9014c16542a57217ccc303de4d035ed5c4618a"},"schema_version":"1.0","source":{"id":"2010.01929","kind":"arxiv","version":4}},"canonical_sha256":"5ecd36969325712923caf14de5f6d30663a54b4dbc675c092ebeb21f7c08a527","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ecd36969325712923caf14de5f6d30663a54b4dbc675c092ebeb21f7c08a527","first_computed_at":"2026-07-05T05:45:23.062426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:45:23.062426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r+JuiPE/EtAqCBkeuu9yTA4zVp+VXicM5Xo4K6SwjxCXhl11mf0IMe0lxYY6u3s6wW/qPEy9cDWTBjaCDkl/BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:45:23.062869Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.01929","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96344775f559551f36044cc13c76ac02edae958c16dc5dabaf8cf936d500f89d","sha256:84c30042868252d80856af635359fc82f9a3fb5ebb38737096a1114255ec0bb1"],"state_sha256":"441a56adf60ddc63f8042cfea93aeabbcf13f80caba94e2db0323d4fc8183700"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3VRKFAVBHWW2x0jt3/Y7M0AUK2jtlu1FcWY/6iHaDQhVqpuwMwmJgd95JqvBiOmjbNbqVdIDno5VddanLt2eBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T04:34:17.759564Z","bundle_sha256":"a12ecbc6373e2e20bd556c6a32b648a1e43ca5e0f99acf983e3bf4bdb70299d8"}}