{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:53XD6O3OR6ZAHIEO43GIHMOQCM","short_pith_number":"pith:53XD6O3O","canonical_record":{"source":{"id":"1611.04181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-11-13T20:25:00Z","cross_cats_sorted":["cs.LO","math.CT"],"title_canon_sha256":"5bb8a2a4abf9c3bdba41cf199628587f511d1cbcf50130f58c193d932ebf93e7","abstract_canon_sha256":"d68fe503afb095b7fb8002a1de5b90139b8be1caf7ee34c573ab9d1dc6afdc2e"},"schema_version":"1.0"},"canonical_sha256":"eeee3f3b6e8fb203a08ee6cc83b1d0133af7f12add8b1067d8268da4583a151c","source":{"kind":"arxiv","id":"1611.04181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04181","created_at":"2026-05-18T00:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04181v1","created_at":"2026-05-18T00:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04181","created_at":"2026-05-18T00:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"53XD6O3OR6ZA","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"53XD6O3OR6ZAHIEO","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"53XD6O3O","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:53XD6O3OR6ZAHIEO43GIHMOQCM","target":"record","payload":{"canonical_record":{"source":{"id":"1611.04181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-11-13T20:25:00Z","cross_cats_sorted":["cs.LO","math.CT"],"title_canon_sha256":"5bb8a2a4abf9c3bdba41cf199628587f511d1cbcf50130f58c193d932ebf93e7","abstract_canon_sha256":"d68fe503afb095b7fb8002a1de5b90139b8be1caf7ee34c573ab9d1dc6afdc2e"},"schema_version":"1.0"},"canonical_sha256":"eeee3f3b6e8fb203a08ee6cc83b1d0133af7f12add8b1067d8268da4583a151c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:17.250430Z","signature_b64":"IrhCn3oibsIjQ+weB/RpjUzV/YARRpJ/MLiGyNXTR2TbzcyTj1yijWNFDW2LPvdEm6KypSTm20Qo21QqMi62DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eeee3f3b6e8fb203a08ee6cc83b1d0133af7f12add8b1067d8268da4583a151c","last_reissued_at":"2026-05-18T00:59:17.249866Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:17.249866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.04181","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":"2026-05-18T00:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p7kIsX+QHakvZemFEaKUWiiOmvjY5N5+Z7pHLNQYNLdDtpp3ygq81HGzBRIaUImV5aVVu+1xtS3rslndZd/DCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T16:12:40.691824Z"},"content_sha256":"0e39c9bcaa35a7213698fc863f657772c0d513de239ce544211d8c3ffbc6bac0","schema_version":"1.0","event_id":"sha256:0e39c9bcaa35a7213698fc863f657772c0d513de239ce544211d8c3ffbc6bac0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:53XD6O3OR6ZAHIEO43GIHMOQCM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Logic Properly Displayed","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO","math.CT"],"primary_cat":"math.LO","authors_text":"Alessandra Palmigiano, Giuseppe Greco","submitted_at":"2016-11-13T20:25:00Z","abstract_excerpt":"We introduce proper display calculi for intuitionistic, bi-intuitionistic and classical linear logics with exponentials, which are sound, complete, conservative, and enjoy cut-elimination and subformula property. Based on the same design, we introduce a variant of Lambek calculus with exponentials, aimed at capturing the controlled application of exchange and associativity. Properness (i.e. closure under uniform substitution of all parametric parts in rules) is the main interest and added value of the present proposal, and allows for the smoothest proof of cut-elimination. Our proposal builds "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04181","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":"2026-05-18T00:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nOXnq/ybTLQ5a3+jre/lwEsim78rPavDd8Fh9lG4DajLitkRKQtCp60fwr1iVP9o8njazAVEHxVbBkXpJHt/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T16:12:40.692641Z"},"content_sha256":"697cb635a77e9822a953aeda4846226775a49b4f0842c804262ae4f01ca6617f","schema_version":"1.0","event_id":"sha256:697cb635a77e9822a953aeda4846226775a49b4f0842c804262ae4f01ca6617f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53XD6O3OR6ZAHIEO43GIHMOQCM/bundle.json","state_url":"https://pith.science/pith/53XD6O3OR6ZAHIEO43GIHMOQCM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53XD6O3OR6ZAHIEO43GIHMOQCM/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":"2026-08-16T16:12:40Z","links":{"resolver":"https://pith.science/pith/53XD6O3OR6ZAHIEO43GIHMOQCM","bundle":"https://pith.science/pith/53XD6O3OR6ZAHIEO43GIHMOQCM/bundle.json","state":"https://pith.science/pith/53XD6O3OR6ZAHIEO43GIHMOQCM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53XD6O3OR6ZAHIEO43GIHMOQCM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:53XD6O3OR6ZAHIEO43GIHMOQCM","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":"d68fe503afb095b7fb8002a1de5b90139b8be1caf7ee34c573ab9d1dc6afdc2e","cross_cats_sorted":["cs.LO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-11-13T20:25:00Z","title_canon_sha256":"5bb8a2a4abf9c3bdba41cf199628587f511d1cbcf50130f58c193d932ebf93e7"},"schema_version":"1.0","source":{"id":"1611.04181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04181","created_at":"2026-05-18T00:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04181v1","created_at":"2026-05-18T00:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04181","created_at":"2026-05-18T00:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"53XD6O3OR6ZA","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"53XD6O3OR6ZAHIEO","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"53XD6O3O","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:697cb635a77e9822a953aeda4846226775a49b4f0842c804262ae4f01ca6617f","target":"graph","created_at":"2026-05-18T00:59:17Z","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 introduce proper display calculi for intuitionistic, bi-intuitionistic and classical linear logics with exponentials, which are sound, complete, conservative, and enjoy cut-elimination and subformula property. Based on the same design, we introduce a variant of Lambek calculus with exponentials, aimed at capturing the controlled application of exchange and associativity. Properness (i.e. closure under uniform substitution of all parametric parts in rules) is the main interest and added value of the present proposal, and allows for the smoothest proof of cut-elimination. Our proposal builds ","authors_text":"Alessandra Palmigiano, Giuseppe Greco","cross_cats":["cs.LO","math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-11-13T20:25:00Z","title":"Linear Logic Properly Displayed"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04181","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":"sha256:0e39c9bcaa35a7213698fc863f657772c0d513de239ce544211d8c3ffbc6bac0","target":"record","created_at":"2026-05-18T00:59:17Z","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":"d68fe503afb095b7fb8002a1de5b90139b8be1caf7ee34c573ab9d1dc6afdc2e","cross_cats_sorted":["cs.LO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-11-13T20:25:00Z","title_canon_sha256":"5bb8a2a4abf9c3bdba41cf199628587f511d1cbcf50130f58c193d932ebf93e7"},"schema_version":"1.0","source":{"id":"1611.04181","kind":"arxiv","version":1}},"canonical_sha256":"eeee3f3b6e8fb203a08ee6cc83b1d0133af7f12add8b1067d8268da4583a151c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eeee3f3b6e8fb203a08ee6cc83b1d0133af7f12add8b1067d8268da4583a151c","first_computed_at":"2026-05-18T00:59:17.249866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:17.249866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IrhCn3oibsIjQ+weB/RpjUzV/YARRpJ/MLiGyNXTR2TbzcyTj1yijWNFDW2LPvdEm6KypSTm20Qo21QqMi62DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:17.250430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.04181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e39c9bcaa35a7213698fc863f657772c0d513de239ce544211d8c3ffbc6bac0","sha256:697cb635a77e9822a953aeda4846226775a49b4f0842c804262ae4f01ca6617f"],"state_sha256":"4660070e3de4cb2ef5d1a10366282c798fb3b0f4b8f884fa7cf61b5149d61260"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBiu96Ck2j7WqdgROxvfozcjIFubZ2KPvx0CqD5MJnmfI2rDixw93z6w5uKC8mkKCidQoCdQ333Vb8kCqX8RDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T16:12:40.702238Z","bundle_sha256":"13ca5a05b259b77fddd07e6fdff7493bccace22d189e50203913528d0248cb98"}}