{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5JLIJL6IX7F3UF6UF37C55MWCL","short_pith_number":"pith:5JLIJL6I","canonical_record":{"source":{"id":"2606.01372","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T18:01:43Z","cross_cats_sorted":["cs.AI","cs.CV"],"title_canon_sha256":"d6cec8f4128b252ac0be8249d87b9314af9f2aa740990377096ecb72f68c0b47","abstract_canon_sha256":"2768abeb6225590fb0849caa6fb299cd4a5374139814666836b5f71248ce025f"},"schema_version":"1.0"},"canonical_sha256":"ea5684afc8bfcbba17d42efe2ef59612e3cb24715d189fa9850b6a4989bb7b12","source":{"kind":"arxiv","id":"2606.01372","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01372","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01372v1","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01372","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"pith_short_12","alias_value":"5JLIJL6IX7F3","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"pith_short_16","alias_value":"5JLIJL6IX7F3UF6U","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"pith_short_8","alias_value":"5JLIJL6I","created_at":"2026-06-02T02:04:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5JLIJL6IX7F3UF6UF37C55MWCL","target":"record","payload":{"canonical_record":{"source":{"id":"2606.01372","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T18:01:43Z","cross_cats_sorted":["cs.AI","cs.CV"],"title_canon_sha256":"d6cec8f4128b252ac0be8249d87b9314af9f2aa740990377096ecb72f68c0b47","abstract_canon_sha256":"2768abeb6225590fb0849caa6fb299cd4a5374139814666836b5f71248ce025f"},"schema_version":"1.0"},"canonical_sha256":"ea5684afc8bfcbba17d42efe2ef59612e3cb24715d189fa9850b6a4989bb7b12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T02:04:31.632151Z","signature_b64":"yn8gigUAAeL3gRF2Xkdt16xiDgJ95CZi6UC1zALvB14XTC0T3N3a93S5XG9k8rhHtc/wKyiEZPeZzz9bKBU6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea5684afc8bfcbba17d42efe2ef59612e3cb24715d189fa9850b6a4989bb7b12","last_reissued_at":"2026-06-02T02:04:31.631763Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T02:04:31.631763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.01372","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":"2026-06-02T02:04:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8TWhDrbDBMKqM6JqMMTXvbBuKtk0kMVpBqY4F59pe5FicpSq9xsDiBRnrd3f4qACLfEMcqe8mEE6+ye2GMZTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T19:58:40.525336Z"},"content_sha256":"ec9a0cf45c8e5c86cdb849ae304989861f304e7945aafa5c23d4791b786262e5","schema_version":"1.0","event_id":"sha256:ec9a0cf45c8e5c86cdb849ae304989861f304e7945aafa5c23d4791b786262e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5JLIJL6IX7F3UF6UF37C55MWCL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BRo-JEPA: Learning Modular Arithmetic in Latent Space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CV"],"primary_cat":"cs.LG","authors_text":"Brennen Yu, Divyansh Jha, Varan Mehra, Yuanfang Xie","submitted_at":"2026-05-31T18:01:43Z","abstract_excerpt":"Can neural networks learn abstract algebraic rules, or do they merely memorize training patterns? We investigate this using MNIST digits as states and modular arithmetic operations as actions in a JEPA-style latent world model. Standard supervised baselines and JEPA models with additive operation embeddings fit seen operations but fail to extrapolate reliably to unseen ones. To bridge this gap, we introduce a block-rotation predictor that imposes the circular structure of modulo-10 arithmetic in latent space. This enables strong zero-shot generalization, with the best ResNet-based JEPA block-r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01372","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/2606.01372/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":"2026-06-02T02:04:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d/MkEiV5W2lDjjYCLiP21BdciAp5xuonZJYmuOx7zdPAK//ZtfM7KmLRyvIDvDbXyvLMc9NX/1wjMaKr2n3YDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T19:58:40.525750Z"},"content_sha256":"3301ff50505052b3409ae33fbef6be91d6ed032f195c30244b7775b0d32efa40","schema_version":"1.0","event_id":"sha256:3301ff50505052b3409ae33fbef6be91d6ed032f195c30244b7775b0d32efa40"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5JLIJL6IX7F3UF6UF37C55MWCL/bundle.json","state_url":"https://pith.science/pith/5JLIJL6IX7F3UF6UF37C55MWCL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5JLIJL6IX7F3UF6UF37C55MWCL/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":"2026-07-01T19:58:40Z","links":{"resolver":"https://pith.science/pith/5JLIJL6IX7F3UF6UF37C55MWCL","bundle":"https://pith.science/pith/5JLIJL6IX7F3UF6UF37C55MWCL/bundle.json","state":"https://pith.science/pith/5JLIJL6IX7F3UF6UF37C55MWCL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5JLIJL6IX7F3UF6UF37C55MWCL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5JLIJL6IX7F3UF6UF37C55MWCL","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":"2768abeb6225590fb0849caa6fb299cd4a5374139814666836b5f71248ce025f","cross_cats_sorted":["cs.AI","cs.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T18:01:43Z","title_canon_sha256":"d6cec8f4128b252ac0be8249d87b9314af9f2aa740990377096ecb72f68c0b47"},"schema_version":"1.0","source":{"id":"2606.01372","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01372","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01372v1","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01372","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"pith_short_12","alias_value":"5JLIJL6IX7F3","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"pith_short_16","alias_value":"5JLIJL6IX7F3UF6U","created_at":"2026-06-02T02:04:31Z"},{"alias_kind":"pith_short_8","alias_value":"5JLIJL6I","created_at":"2026-06-02T02:04:31Z"}],"graph_snapshots":[{"event_id":"sha256:3301ff50505052b3409ae33fbef6be91d6ed032f195c30244b7775b0d32efa40","target":"graph","created_at":"2026-06-02T02:04:31Z","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/2606.01372/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Can neural networks learn abstract algebraic rules, or do they merely memorize training patterns? We investigate this using MNIST digits as states and modular arithmetic operations as actions in a JEPA-style latent world model. Standard supervised baselines and JEPA models with additive operation embeddings fit seen operations but fail to extrapolate reliably to unseen ones. To bridge this gap, we introduce a block-rotation predictor that imposes the circular structure of modulo-10 arithmetic in latent space. This enables strong zero-shot generalization, with the best ResNet-based JEPA block-r","authors_text":"Brennen Yu, Divyansh Jha, Varan Mehra, Yuanfang Xie","cross_cats":["cs.AI","cs.CV"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T18:01:43Z","title":"BRo-JEPA: Learning Modular Arithmetic in Latent Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01372","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:ec9a0cf45c8e5c86cdb849ae304989861f304e7945aafa5c23d4791b786262e5","target":"record","created_at":"2026-06-02T02:04:31Z","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":"2768abeb6225590fb0849caa6fb299cd4a5374139814666836b5f71248ce025f","cross_cats_sorted":["cs.AI","cs.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T18:01:43Z","title_canon_sha256":"d6cec8f4128b252ac0be8249d87b9314af9f2aa740990377096ecb72f68c0b47"},"schema_version":"1.0","source":{"id":"2606.01372","kind":"arxiv","version":1}},"canonical_sha256":"ea5684afc8bfcbba17d42efe2ef59612e3cb24715d189fa9850b6a4989bb7b12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea5684afc8bfcbba17d42efe2ef59612e3cb24715d189fa9850b6a4989bb7b12","first_computed_at":"2026-06-02T02:04:31.631763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:04:31.631763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yn8gigUAAeL3gRF2Xkdt16xiDgJ95CZi6UC1zALvB14XTC0T3N3a93S5XG9k8rhHtc/wKyiEZPeZzz9bKBU6BA==","signature_status":"signed_v1","signed_at":"2026-06-02T02:04:31.632151Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.01372","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec9a0cf45c8e5c86cdb849ae304989861f304e7945aafa5c23d4791b786262e5","sha256:3301ff50505052b3409ae33fbef6be91d6ed032f195c30244b7775b0d32efa40"],"state_sha256":"52785db3b84b1b2226c68249ac5c3398aa8a734f56899105a035e8e732a4adfa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"scwsk9atnKu3rL1K3ifq1Xkw8Wk4Iit8RpelXN1R3U2o/7mQHHbG+ekUFsarA9oViN5TVgH0J4m8cOPHO7PeCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T19:58:40.527855Z","bundle_sha256":"fe4eaba9eeed4c4d4900912b3e0ce8542534deb9cb1396df51adf4d15e10f07f"}}