{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:373L6GQVJOOXTDZTQHEP7HMN3P","short_pith_number":"pith:373L6GQV","canonical_record":{"source":{"id":"2606.21790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-19T22:42:58Z","cross_cats_sorted":["hep-ex","hep-ph","physics.data-an"],"title_canon_sha256":"11ec8676b7e5d02524b5900f8b93aa08ecc97eb1456ee4683cfdf996b3d97c1e","abstract_canon_sha256":"e6ddef432b9a9c32a2732ecbc78b789d3758b04dc9bd139d92a17b6e9eca8a4c"},"schema_version":"1.0"},"canonical_sha256":"dff6bf1a154b9d798f3381c8ff9d8ddbc142f5eb916f2efd207f11ff6fab3822","source":{"kind":"arxiv","id":"2606.21790","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21790","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21790v1","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21790","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"pith_short_12","alias_value":"373L6GQVJOOX","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"pith_short_16","alias_value":"373L6GQVJOOXTDZT","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"pith_short_8","alias_value":"373L6GQV","created_at":"2026-06-23T01:13:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:373L6GQVJOOXTDZTQHEP7HMN3P","target":"record","payload":{"canonical_record":{"source":{"id":"2606.21790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-19T22:42:58Z","cross_cats_sorted":["hep-ex","hep-ph","physics.data-an"],"title_canon_sha256":"11ec8676b7e5d02524b5900f8b93aa08ecc97eb1456ee4683cfdf996b3d97c1e","abstract_canon_sha256":"e6ddef432b9a9c32a2732ecbc78b789d3758b04dc9bd139d92a17b6e9eca8a4c"},"schema_version":"1.0"},"canonical_sha256":"dff6bf1a154b9d798f3381c8ff9d8ddbc142f5eb916f2efd207f11ff6fab3822","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:13:22.782717Z","signature_b64":"NjyDRVJ/GrwoMV40NVgGc9MqJ+yvrWVlzMg6B5ZxyLO43PVVvh1OV75cuacMkR1xILaf84tyvL0gG1KisXaOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dff6bf1a154b9d798f3381c8ff9d8ddbc142f5eb916f2efd207f11ff6fab3822","last_reissued_at":"2026-06-23T01:13:22.782070Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:13:22.782070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.21790","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":"2026-06-23T01:13:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rocCbytjp6Rd2nlFhRcmpL6mVlVdu6tl4JiKLKiS81UkF/zEdmRJDI/QaQX3tPeJjXg2yVvnegGNSXi8RXyiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:50:21.734207Z"},"content_sha256":"f6a09e101ac8fa676367dc896d2227bf61a26809d24b3f2a171186ea2a1c72a8","schema_version":"1.0","event_id":"sha256:f6a09e101ac8fa676367dc896d2227bf61a26809d24b3f2a171186ea2a1c72a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:373L6GQVJOOXTDZTQHEP7HMN3P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"What Do Lorentz-Equivariant Jet Taggers Learn?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-ph","physics.data-an"],"primary_cat":"cs.LG","authors_text":"Dhruv Kumar, Jay Agarwal, Siddharth Khare","submitted_at":"2026-06-19T22:42:58Z","abstract_excerpt":"We study what Lorentz-equivariant jet taggers learn internally, using equivariance tests, linear probes and grade ablations across five models including L-GATr, L-GATr-slim and LLoCa-T. Linear probes show that equivariant models suppress frame-dependent pseudorapidity to zero while encoding jet mass and N-subjettiness strongly. Grade ablations on L-GATr reveal that bivector channels are negligible for top-quark tagging while vector-like channels are dominant but seed variable, consistent with the network exploiting multiple representational pathways. These results characterize which physical f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21790","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/2606.21790/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":"2026-06-23T01:13:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vsIK0ZurOUZGo4TmNTMvjR/cd7jFazGGjJm1Dgx+Un667Lp/ubZy6ksULybfZRNdhZx0L61NdwVtzamfovlQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:50:21.734881Z"},"content_sha256":"88909cac33db328e4ae457007c270f68f15eba9ecf171147106b8316c7d23518","schema_version":"1.0","event_id":"sha256:88909cac33db328e4ae457007c270f68f15eba9ecf171147106b8316c7d23518"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/373L6GQVJOOXTDZTQHEP7HMN3P/bundle.json","state_url":"https://pith.science/pith/373L6GQVJOOXTDZTQHEP7HMN3P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/373L6GQVJOOXTDZTQHEP7HMN3P/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":"2026-06-30T02:50:21Z","links":{"resolver":"https://pith.science/pith/373L6GQVJOOXTDZTQHEP7HMN3P","bundle":"https://pith.science/pith/373L6GQVJOOXTDZTQHEP7HMN3P/bundle.json","state":"https://pith.science/pith/373L6GQVJOOXTDZTQHEP7HMN3P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/373L6GQVJOOXTDZTQHEP7HMN3P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:373L6GQVJOOXTDZTQHEP7HMN3P","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":"e6ddef432b9a9c32a2732ecbc78b789d3758b04dc9bd139d92a17b6e9eca8a4c","cross_cats_sorted":["hep-ex","hep-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-19T22:42:58Z","title_canon_sha256":"11ec8676b7e5d02524b5900f8b93aa08ecc97eb1456ee4683cfdf996b3d97c1e"},"schema_version":"1.0","source":{"id":"2606.21790","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21790","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21790v1","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21790","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"pith_short_12","alias_value":"373L6GQVJOOX","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"pith_short_16","alias_value":"373L6GQVJOOXTDZT","created_at":"2026-06-23T01:13:22Z"},{"alias_kind":"pith_short_8","alias_value":"373L6GQV","created_at":"2026-06-23T01:13:22Z"}],"graph_snapshots":[{"event_id":"sha256:88909cac33db328e4ae457007c270f68f15eba9ecf171147106b8316c7d23518","target":"graph","created_at":"2026-06-23T01:13:22Z","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/2606.21790/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study what Lorentz-equivariant jet taggers learn internally, using equivariance tests, linear probes and grade ablations across five models including L-GATr, L-GATr-slim and LLoCa-T. Linear probes show that equivariant models suppress frame-dependent pseudorapidity to zero while encoding jet mass and N-subjettiness strongly. Grade ablations on L-GATr reveal that bivector channels are negligible for top-quark tagging while vector-like channels are dominant but seed variable, consistent with the network exploiting multiple representational pathways. These results characterize which physical f","authors_text":"Dhruv Kumar, Jay Agarwal, Siddharth Khare","cross_cats":["hep-ex","hep-ph","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-19T22:42:58Z","title":"What Do Lorentz-Equivariant Jet Taggers Learn?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21790","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:f6a09e101ac8fa676367dc896d2227bf61a26809d24b3f2a171186ea2a1c72a8","target":"record","created_at":"2026-06-23T01:13:22Z","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":"e6ddef432b9a9c32a2732ecbc78b789d3758b04dc9bd139d92a17b6e9eca8a4c","cross_cats_sorted":["hep-ex","hep-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-19T22:42:58Z","title_canon_sha256":"11ec8676b7e5d02524b5900f8b93aa08ecc97eb1456ee4683cfdf996b3d97c1e"},"schema_version":"1.0","source":{"id":"2606.21790","kind":"arxiv","version":1}},"canonical_sha256":"dff6bf1a154b9d798f3381c8ff9d8ddbc142f5eb916f2efd207f11ff6fab3822","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dff6bf1a154b9d798f3381c8ff9d8ddbc142f5eb916f2efd207f11ff6fab3822","first_computed_at":"2026-06-23T01:13:22.782070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:13:22.782070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NjyDRVJ/GrwoMV40NVgGc9MqJ+yvrWVlzMg6B5ZxyLO43PVVvh1OV75cuacMkR1xILaf84tyvL0gG1KisXaOCA==","signature_status":"signed_v1","signed_at":"2026-06-23T01:13:22.782717Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21790","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6a09e101ac8fa676367dc896d2227bf61a26809d24b3f2a171186ea2a1c72a8","sha256:88909cac33db328e4ae457007c270f68f15eba9ecf171147106b8316c7d23518"],"state_sha256":"126e693ec54a7d81296395d788f9f84275cb3ce8569d1b3221b5dd0a766dd642"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z5o8dGE+mr/UvhzKWQSYEXLLipGFBBBNb7MxcSrrOaR12RTJ1+HUNL0ERM1fv8PNSmBpyjkc2kPYB/EX4nIdCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T02:50:21.739187Z","bundle_sha256":"2066e7d5907f532e1ccc92781c28f8ce6fc85b0a6ae06792a4e75ab4c0161832"}}