{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OFAMQQ2WBAF7XDM6WDF3N5JZUD","short_pith_number":"pith:OFAMQQ2W","canonical_record":{"source":{"id":"1011.3542","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-15T22:44:05Z","cross_cats_sorted":[],"title_canon_sha256":"4453b0aa6efacb595d066e57cbd7b0fc2710e95c92c70bbb57030292ad0f3a58","abstract_canon_sha256":"ce8709e23bc9c099d1296da277fd0262e4d50508297414117faace6598a807e6"},"schema_version":"1.0"},"canonical_sha256":"7140c84356080bfb8d9eb0cbb6f539a0c6c326decb05858814b4f36a6323469b","source":{"kind":"arxiv","id":"1011.3542","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3542","created_at":"2026-05-18T03:45:53Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3542v3","created_at":"2026-05-18T03:45:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3542","created_at":"2026-05-18T03:45:53Z"},{"alias_kind":"pith_short_12","alias_value":"OFAMQQ2WBAF7","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OFAMQQ2WBAF7XDM6","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OFAMQQ2W","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OFAMQQ2WBAF7XDM6WDF3N5JZUD","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3542","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-15T22:44:05Z","cross_cats_sorted":[],"title_canon_sha256":"4453b0aa6efacb595d066e57cbd7b0fc2710e95c92c70bbb57030292ad0f3a58","abstract_canon_sha256":"ce8709e23bc9c099d1296da277fd0262e4d50508297414117faace6598a807e6"},"schema_version":"1.0"},"canonical_sha256":"7140c84356080bfb8d9eb0cbb6f539a0c6c326decb05858814b4f36a6323469b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:53.458356Z","signature_b64":"bhYI1zsDTfBOrOJKdg1JzMCQyA0GXjw9aThXB4Fuw6EiKik3wrgWzRujNMwry6/xmiLgnQLXJpFZtgj+ZO1cDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7140c84356080bfb8d9eb0cbb6f539a0c6c326decb05858814b4f36a6323469b","last_reissued_at":"2026-05-18T03:45:53.457655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:53.457655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3542","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:45:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rJqjTq7aBjaHJ3ObXfQGZktdUJ/1sKxAxEhwO00dijuLj5NNkOmOkZDjQCmX4girf3/deA7ww6VTvixPE52BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:39:07.267708Z"},"content_sha256":"61b5663e3de006ed7abc82a6fcae75ef3d01046bda84afdf27d1230133e9cce1","schema_version":"1.0","event_id":"sha256:61b5663e3de006ed7abc82a6fcae75ef3d01046bda84afdf27d1230133e9cce1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OFAMQQ2WBAF7XDM6WDF3N5JZUD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linearity in the non-deterministic call-by-value setting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Alejandro D\\'iaz-Caro, Barbara Petit","submitted_at":"2010-11-15T22:44:05Z","abstract_excerpt":"We consider the non-deterministic extension of the call-by-value lambda calculus, which corresponds to the additive fragment of the linear-algebraic lambda-calculus. We define a fine-grained type system, capturing the right linearity present in such formalisms. After proving the subject reduction and the strong normalisation properties, we propose a translation of this calculus into the System F with pairs, which corresponds to a non linear fragment of linear logic. The translation provides a deeper understanding of the linearity in our setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3542","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:45:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lvz8e9yYXZ/hneurAoTjTpxBS62s9BK3E2vTTbiLimLMHKQnqn15QR5wuTkN6rBg8vksxPLtnYCggXHZ6QlZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:39:07.268408Z"},"content_sha256":"1ebd6bc2f402f0cc335dfd7efe39792980695fc39983a2322c41687e0db6905d","schema_version":"1.0","event_id":"sha256:1ebd6bc2f402f0cc335dfd7efe39792980695fc39983a2322c41687e0db6905d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OFAMQQ2WBAF7XDM6WDF3N5JZUD/bundle.json","state_url":"https://pith.science/pith/OFAMQQ2WBAF7XDM6WDF3N5JZUD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OFAMQQ2WBAF7XDM6WDF3N5JZUD/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":"2026-06-11T22:39:07Z","links":{"resolver":"https://pith.science/pith/OFAMQQ2WBAF7XDM6WDF3N5JZUD","bundle":"https://pith.science/pith/OFAMQQ2WBAF7XDM6WDF3N5JZUD/bundle.json","state":"https://pith.science/pith/OFAMQQ2WBAF7XDM6WDF3N5JZUD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OFAMQQ2WBAF7XDM6WDF3N5JZUD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OFAMQQ2WBAF7XDM6WDF3N5JZUD","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":"ce8709e23bc9c099d1296da277fd0262e4d50508297414117faace6598a807e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-15T22:44:05Z","title_canon_sha256":"4453b0aa6efacb595d066e57cbd7b0fc2710e95c92c70bbb57030292ad0f3a58"},"schema_version":"1.0","source":{"id":"1011.3542","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3542","created_at":"2026-05-18T03:45:53Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3542v3","created_at":"2026-05-18T03:45:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3542","created_at":"2026-05-18T03:45:53Z"},{"alias_kind":"pith_short_12","alias_value":"OFAMQQ2WBAF7","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OFAMQQ2WBAF7XDM6","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OFAMQQ2W","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:1ebd6bc2f402f0cc335dfd7efe39792980695fc39983a2322c41687e0db6905d","target":"graph","created_at":"2026-05-18T03:45:53Z","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"},"paper":{"abstract_excerpt":"We consider the non-deterministic extension of the call-by-value lambda calculus, which corresponds to the additive fragment of the linear-algebraic lambda-calculus. We define a fine-grained type system, capturing the right linearity present in such formalisms. After proving the subject reduction and the strong normalisation properties, we propose a translation of this calculus into the System F with pairs, which corresponds to a non linear fragment of linear logic. The translation provides a deeper understanding of the linearity in our setting.","authors_text":"Alejandro D\\'iaz-Caro, Barbara Petit","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-15T22:44:05Z","title":"Linearity in the non-deterministic call-by-value setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3542","kind":"arxiv","version":3},"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":"sha256:61b5663e3de006ed7abc82a6fcae75ef3d01046bda84afdf27d1230133e9cce1","target":"record","created_at":"2026-05-18T03:45:53Z","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":"ce8709e23bc9c099d1296da277fd0262e4d50508297414117faace6598a807e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-11-15T22:44:05Z","title_canon_sha256":"4453b0aa6efacb595d066e57cbd7b0fc2710e95c92c70bbb57030292ad0f3a58"},"schema_version":"1.0","source":{"id":"1011.3542","kind":"arxiv","version":3}},"canonical_sha256":"7140c84356080bfb8d9eb0cbb6f539a0c6c326decb05858814b4f36a6323469b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7140c84356080bfb8d9eb0cbb6f539a0c6c326decb05858814b4f36a6323469b","first_computed_at":"2026-05-18T03:45:53.457655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:53.457655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bhYI1zsDTfBOrOJKdg1JzMCQyA0GXjw9aThXB4Fuw6EiKik3wrgWzRujNMwry6/xmiLgnQLXJpFZtgj+ZO1cDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:53.458356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3542","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61b5663e3de006ed7abc82a6fcae75ef3d01046bda84afdf27d1230133e9cce1","sha256:1ebd6bc2f402f0cc335dfd7efe39792980695fc39983a2322c41687e0db6905d"],"state_sha256":"e79e87a2f028e08f6699dbb4cfb5f41d44c64e6645d58fd2ab3975c5b611c740"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5VK1C2NIhVsYoBjdgsZky307/hMGW1JB3iwme/cmRwFrOpGDleKET/nKEBrHm2nderZrxA1IMsLJMWvebVaqBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:39:07.272527Z","bundle_sha256":"355c50dbcc4bb8a7fed278f004d705b140401b916b075eb08675da03df18769d"}}