{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TEGECLG27GSSPQHHE6W6GSAZUE","short_pith_number":"pith:TEGECLG2","canonical_record":{"source":{"id":"1703.08683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2017-03-25T12:33:11Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"54649937350a28d01797d2866483e63a1625121dc8b69d0a77b6a6605c11f781","abstract_canon_sha256":"460e0702ee5d855cdd4e754eb56ff25472e46ff0cbf54a89a2b22b8959539739"},"schema_version":"1.0"},"canonical_sha256":"990c412cdaf9a527c0e727ade34819a10ca01935647fc545c7e8af450876a44e","source":{"kind":"arxiv","id":"1703.08683","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08683","created_at":"2026-05-18T00:47:55Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08683v1","created_at":"2026-05-18T00:47:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08683","created_at":"2026-05-18T00:47:55Z"},{"alias_kind":"pith_short_12","alias_value":"TEGECLG27GSS","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TEGECLG27GSSPQHH","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TEGECLG2","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TEGECLG27GSSPQHHE6W6GSAZUE","target":"record","payload":{"canonical_record":{"source":{"id":"1703.08683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2017-03-25T12:33:11Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"54649937350a28d01797d2866483e63a1625121dc8b69d0a77b6a6605c11f781","abstract_canon_sha256":"460e0702ee5d855cdd4e754eb56ff25472e46ff0cbf54a89a2b22b8959539739"},"schema_version":"1.0"},"canonical_sha256":"990c412cdaf9a527c0e727ade34819a10ca01935647fc545c7e8af450876a44e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:55.886107Z","signature_b64":"toKbBmyR0nRbEyqzY2aZM5TzukFf/fR6W8/qUrrSMr5h4aWT+OLVLB1TPMmrFqLVGAnCXpgp9MQ2V88N006LCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"990c412cdaf9a527c0e727ade34819a10ca01935647fc545c7e8af450876a44e","last_reissued_at":"2026-05-18T00:47:55.885600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:55.885600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.08683","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":"2026-05-18T00:47:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zAXOJvBmg9fe38tDJuMfse+JCyTfuZU3rfIg7hBKuCr6I7Qf0apT/kB6fZH4Kj0oWS3nKQ4DPLVNo4O0li9SCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:50:43.186966Z"},"content_sha256":"cc89567daf3f4faf5ae3da494f1159ef9f148ac8cd8b5ea849e4ca2eebb1a235","schema_version":"1.0","event_id":"sha256:cc89567daf3f4faf5ae3da494f1159ef9f148ac8cd8b5ea849e4ca2eebb1a235"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TEGECLG27GSSPQHHE6W6GSAZUE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Applied Type System: An Approach to Practical Programming with Theorem-Proving","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.PL","authors_text":"Hongwei Xi","submitted_at":"2017-03-25T12:33:11Z","abstract_excerpt":"The framework Pure Type System (PTS) offers a simple and general approach to designing and formalizing type systems. However, in the presence of dependent types, there often exist certain acute problems that make it difficult for PTS to directly accommodate many common realistic programming features such as general recursion, recursive types, effects (e.g., exceptions, references, input/output), etc. In this paper, Applied Type System (ATS) is presented as a framework for designing and formalizing type systems in support of practical programming with advanced types (including dependent types)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08683","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":""},"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":"2026-05-18T00:47:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OGmhr05A9O3fdeKi7W6LFMq51ztycCdKl2HwmAkVIs+P/8T4PM3mH0vgOCWgAsl7ul4q+OmcXd2BN5ghLD9/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:50:43.187347Z"},"content_sha256":"bcb5577a299c8711aaf3e0214d3fea7b42dc495088ae014907c807b4c58f57e9","schema_version":"1.0","event_id":"sha256:bcb5577a299c8711aaf3e0214d3fea7b42dc495088ae014907c807b4c58f57e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TEGECLG27GSSPQHHE6W6GSAZUE/bundle.json","state_url":"https://pith.science/pith/TEGECLG27GSSPQHHE6W6GSAZUE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TEGECLG27GSSPQHHE6W6GSAZUE/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":"2026-06-05T18:50:43Z","links":{"resolver":"https://pith.science/pith/TEGECLG27GSSPQHHE6W6GSAZUE","bundle":"https://pith.science/pith/TEGECLG27GSSPQHHE6W6GSAZUE/bundle.json","state":"https://pith.science/pith/TEGECLG27GSSPQHHE6W6GSAZUE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TEGECLG27GSSPQHHE6W6GSAZUE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TEGECLG27GSSPQHHE6W6GSAZUE","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":"460e0702ee5d855cdd4e754eb56ff25472e46ff0cbf54a89a2b22b8959539739","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2017-03-25T12:33:11Z","title_canon_sha256":"54649937350a28d01797d2866483e63a1625121dc8b69d0a77b6a6605c11f781"},"schema_version":"1.0","source":{"id":"1703.08683","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08683","created_at":"2026-05-18T00:47:55Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08683v1","created_at":"2026-05-18T00:47:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08683","created_at":"2026-05-18T00:47:55Z"},{"alias_kind":"pith_short_12","alias_value":"TEGECLG27GSS","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TEGECLG27GSSPQHH","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TEGECLG2","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:bcb5577a299c8711aaf3e0214d3fea7b42dc495088ae014907c807b4c58f57e9","target":"graph","created_at":"2026-05-18T00:47:55Z","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":"The framework Pure Type System (PTS) offers a simple and general approach to designing and formalizing type systems. However, in the presence of dependent types, there often exist certain acute problems that make it difficult for PTS to directly accommodate many common realistic programming features such as general recursion, recursive types, effects (e.g., exceptions, references, input/output), etc. In this paper, Applied Type System (ATS) is presented as a framework for designing and formalizing type systems in support of practical programming with advanced types (including dependent types).","authors_text":"Hongwei Xi","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2017-03-25T12:33:11Z","title":"Applied Type System: An Approach to Practical Programming with Theorem-Proving"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08683","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:cc89567daf3f4faf5ae3da494f1159ef9f148ac8cd8b5ea849e4ca2eebb1a235","target":"record","created_at":"2026-05-18T00:47:55Z","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":"460e0702ee5d855cdd4e754eb56ff25472e46ff0cbf54a89a2b22b8959539739","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2017-03-25T12:33:11Z","title_canon_sha256":"54649937350a28d01797d2866483e63a1625121dc8b69d0a77b6a6605c11f781"},"schema_version":"1.0","source":{"id":"1703.08683","kind":"arxiv","version":1}},"canonical_sha256":"990c412cdaf9a527c0e727ade34819a10ca01935647fc545c7e8af450876a44e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"990c412cdaf9a527c0e727ade34819a10ca01935647fc545c7e8af450876a44e","first_computed_at":"2026-05-18T00:47:55.885600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:55.885600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"toKbBmyR0nRbEyqzY2aZM5TzukFf/fR6W8/qUrrSMr5h4aWT+OLVLB1TPMmrFqLVGAnCXpgp9MQ2V88N006LCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:55.886107Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.08683","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc89567daf3f4faf5ae3da494f1159ef9f148ac8cd8b5ea849e4ca2eebb1a235","sha256:bcb5577a299c8711aaf3e0214d3fea7b42dc495088ae014907c807b4c58f57e9"],"state_sha256":"d25cdde58a37154cdc8b0fcdd2f0c186d21e9998f9cf86576afa2f311c2f5d0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RBountbmxF8e0D3GVTxsF5RQv0X6jeFFNL94pjDMd9hFOnu5Bur/BoeWssXaA1cbhSGYzmy5wWrj3ekOpdyXBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:50:43.189299Z","bundle_sha256":"cbf2fb2cb492959aa9a0ef8e65e5abe17550309563c470e6406b62a0ae86ae38"}}