{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:ORBATSFCJWYRZBUVOIYCIVE5VF","short_pith_number":"pith:ORBATSFC","schema_version":"1.0","canonical_sha256":"744209c8a24db11c8695723024549da940718c9a19f44f7f3b6bed916584e6ed","source":{"kind":"arxiv","id":"2410.06024","version":1},"attestation_state":"computed","paper":{"title":"Jet Expansions of Residual Computation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CL","cs.SC"],"primary_cat":"cs.LG","authors_text":"Luca Franceschi, Pontus Stenetorp, Xiangxiang Xu, Yao Lu, Yihong Chen","submitted_at":"2024-10-08T13:25:08Z","abstract_excerpt":"We introduce a framework for expanding residual computational graphs using jets, operators that generalize truncated Taylor series. Our method provides a systematic approach to disentangle contributions of different computational paths to model predictions. In contrast to existing techniques such as distillation, probing, or early decoding, our expansions rely solely on the model itself and requires no data, training, or sampling from the model. We demonstrate how our framework grounds and subsumes logit lens, reveals a (super-)exponential path structure in the recursive residual depth and ope"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2410.06024","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-08T13:25:08Z","cross_cats_sorted":["cs.AI","cs.CL","cs.SC"],"title_canon_sha256":"7d0eb8d6fc55401622f3fb49bc7e5a0bd3f22b2cbdef0cf677aab8b2d408e8d7","abstract_canon_sha256":"0589f435a8d9016666d1f82123c241543016c306770a72172b7501e031a5f900"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:17:54.761626Z","signature_b64":"qBVSqcXkxTtBW8kxA1dY1os3f2i1Q3batFnAn6fFarhYLdlCwSyS5e8xOD3dw78ydi1txxTo0H4iLmztndsDAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"744209c8a24db11c8695723024549da940718c9a19f44f7f3b6bed916584e6ed","last_reissued_at":"2026-07-05T09:17:54.761145Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:17:54.761145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jet Expansions of Residual Computation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CL","cs.SC"],"primary_cat":"cs.LG","authors_text":"Luca Franceschi, Pontus Stenetorp, Xiangxiang Xu, Yao Lu, Yihong Chen","submitted_at":"2024-10-08T13:25:08Z","abstract_excerpt":"We introduce a framework for expanding residual computational graphs using jets, operators that generalize truncated Taylor series. Our method provides a systematic approach to disentangle contributions of different computational paths to model predictions. In contrast to existing techniques such as distillation, probing, or early decoding, our expansions rely solely on the model itself and requires no data, training, or sampling from the model. We demonstrate how our framework grounds and subsumes logit lens, reveals a (super-)exponential path structure in the recursive residual depth and ope"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.06024","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/2410.06024/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2410.06024","created_at":"2026-07-05T09:17:54.761208+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.06024v1","created_at":"2026-07-05T09:17:54.761208+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.06024","created_at":"2026-07-05T09:17:54.761208+00:00"},{"alias_kind":"pith_short_12","alias_value":"ORBATSFCJWYR","created_at":"2026-07-05T09:17:54.761208+00:00"},{"alias_kind":"pith_short_16","alias_value":"ORBATSFCJWYRZBUV","created_at":"2026-07-05T09:17:54.761208+00:00"},{"alias_kind":"pith_short_8","alias_value":"ORBATSFC","created_at":"2026-07-05T09:17:54.761208+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF","json":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF.json","graph_json":"https://pith.science/api/pith-number/ORBATSFCJWYRZBUVOIYCIVE5VF/graph.json","events_json":"https://pith.science/api/pith-number/ORBATSFCJWYRZBUVOIYCIVE5VF/events.json","paper":"https://pith.science/paper/ORBATSFC"},"agent_actions":{"view_html":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF","download_json":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF.json","view_paper":"https://pith.science/paper/ORBATSFC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.06024&json=true","fetch_graph":"https://pith.science/api/pith-number/ORBATSFCJWYRZBUVOIYCIVE5VF/graph.json","fetch_events":"https://pith.science/api/pith-number/ORBATSFCJWYRZBUVOIYCIVE5VF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF/action/storage_attestation","attest_author":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF/action/author_attestation","sign_citation":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF/action/citation_signature","submit_replication":"https://pith.science/pith/ORBATSFCJWYRZBUVOIYCIVE5VF/action/replication_record"}},"created_at":"2026-07-05T09:17:54.761208+00:00","updated_at":"2026-07-05T09:17:54.761208+00:00"}