{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XIVBPSOPQZC6X5UKGHU5GAGULZ","short_pith_number":"pith:XIVBPSOP","canonical_record":{"source":{"id":"1212.4483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-12-18T20:45:10Z","cross_cats_sorted":[],"title_canon_sha256":"73379b59d3b44931e0945b28305fcbf2f56facbd2f01d3cd3008a1781628f4ca","abstract_canon_sha256":"f0c006212814bcf0442ed11a3ab1bc062aeb5c2b1bd8fc478e486f60bd66e6f7"},"schema_version":"1.0"},"canonical_sha256":"ba2a17c9cf8645ebf68a31e9d300d45e606f674ccfe9ac92e7732058ff500338","source":{"kind":"arxiv","id":"1212.4483","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4483","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4483v1","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4483","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"XIVBPSOPQZC6","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XIVBPSOPQZC6X5UK","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XIVBPSOP","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XIVBPSOPQZC6X5UKGHU5GAGULZ","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-12-18T20:45:10Z","cross_cats_sorted":[],"title_canon_sha256":"73379b59d3b44931e0945b28305fcbf2f56facbd2f01d3cd3008a1781628f4ca","abstract_canon_sha256":"f0c006212814bcf0442ed11a3ab1bc062aeb5c2b1bd8fc478e486f60bd66e6f7"},"schema_version":"1.0"},"canonical_sha256":"ba2a17c9cf8645ebf68a31e9d300d45e606f674ccfe9ac92e7732058ff500338","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:23.053607Z","signature_b64":"HwFgKnGfzMDeTxz44xd81o5nuPmCBG9hlsBZZ3oD6HKH+98be9qCpnZKK67ewZPlf+N/GJKS/R2G1zJi+tjyBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba2a17c9cf8645ebf68a31e9d300d45e606f674ccfe9ac92e7732058ff500338","last_reissued_at":"2026-05-18T02:50:23.053047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:23.053047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4483","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":"2026-05-18T02:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LnLScawHmak0othzdzBArDMV2EwTaBEYJPBLbcSZYxB8Sfj2450RMYEvbsp9plDjOGT2xYPdgax6YKb8uqykDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T23:48:31.469475Z"},"content_sha256":"9ed72f115b805ee1a7765a191c8ba7253ed9d9aaec1cbb5233fa2bc7ff928ece","schema_version":"1.0","event_id":"sha256:9ed72f115b805ee1a7765a191c8ba7253ed9d9aaec1cbb5233fa2bc7ff928ece"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XIVBPSOPQZC6X5UKGHU5GAGULZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extending a system in the calculus of structures with a self-dual quantifier","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Luca Roversi","submitted_at":"2012-12-18T20:45:10Z","abstract_excerpt":"We recall that SBV, a proof system developed under the methodology of deep inference, extends multiplicative linear logic with the self-dual non-commutative logical operator Seq. We introduce SBVQ that extends SBV by adding the self-dual quantifier Sdq. The system SBVQ is consistent because we prove that (the analogous of) cut elimination holds for it. Its new logical operator Sdq operationally behaves as a binder, in a way that the interplay between Seq, and Sdq can model {\\beta}-reduction of linear {\\lambda}-calculus inside the cut-free subsystem BVQ of SBVQ. The long term aim is to keep dev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4483","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":"2026-05-18T02:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tFlUoGcmjGf5TVlY7Ltv+DhXwmOydKy+RoCJeDBo5s6LLwMlurPnA0M+Jyv/4yfDyLU0jSvbOH9E5MeE7QldDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T23:48:31.469829Z"},"content_sha256":"b8424647d7fe0e2f150a621ffadb1563c1c9b6a9bee0cd7c6fa91128a64e5959","schema_version":"1.0","event_id":"sha256:b8424647d7fe0e2f150a621ffadb1563c1c9b6a9bee0cd7c6fa91128a64e5959"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIVBPSOPQZC6X5UKGHU5GAGULZ/bundle.json","state_url":"https://pith.science/pith/XIVBPSOPQZC6X5UKGHU5GAGULZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIVBPSOPQZC6X5UKGHU5GAGULZ/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":"2026-05-21T23:48:31Z","links":{"resolver":"https://pith.science/pith/XIVBPSOPQZC6X5UKGHU5GAGULZ","bundle":"https://pith.science/pith/XIVBPSOPQZC6X5UKGHU5GAGULZ/bundle.json","state":"https://pith.science/pith/XIVBPSOPQZC6X5UKGHU5GAGULZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIVBPSOPQZC6X5UKGHU5GAGULZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XIVBPSOPQZC6X5UKGHU5GAGULZ","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":"f0c006212814bcf0442ed11a3ab1bc062aeb5c2b1bd8fc478e486f60bd66e6f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-12-18T20:45:10Z","title_canon_sha256":"73379b59d3b44931e0945b28305fcbf2f56facbd2f01d3cd3008a1781628f4ca"},"schema_version":"1.0","source":{"id":"1212.4483","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4483","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4483v1","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4483","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"XIVBPSOPQZC6","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XIVBPSOPQZC6X5UK","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XIVBPSOP","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:b8424647d7fe0e2f150a621ffadb1563c1c9b6a9bee0cd7c6fa91128a64e5959","target":"graph","created_at":"2026-05-18T02:50:23Z","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 recall that SBV, a proof system developed under the methodology of deep inference, extends multiplicative linear logic with the self-dual non-commutative logical operator Seq. We introduce SBVQ that extends SBV by adding the self-dual quantifier Sdq. The system SBVQ is consistent because we prove that (the analogous of) cut elimination holds for it. Its new logical operator Sdq operationally behaves as a binder, in a way that the interplay between Seq, and Sdq can model {\\beta}-reduction of linear {\\lambda}-calculus inside the cut-free subsystem BVQ of SBVQ. The long term aim is to keep dev","authors_text":"Luca Roversi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-12-18T20:45:10Z","title":"Extending a system in the calculus of structures with a self-dual quantifier"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4483","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":"sha256:9ed72f115b805ee1a7765a191c8ba7253ed9d9aaec1cbb5233fa2bc7ff928ece","target":"record","created_at":"2026-05-18T02:50:23Z","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":"f0c006212814bcf0442ed11a3ab1bc062aeb5c2b1bd8fc478e486f60bd66e6f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-12-18T20:45:10Z","title_canon_sha256":"73379b59d3b44931e0945b28305fcbf2f56facbd2f01d3cd3008a1781628f4ca"},"schema_version":"1.0","source":{"id":"1212.4483","kind":"arxiv","version":1}},"canonical_sha256":"ba2a17c9cf8645ebf68a31e9d300d45e606f674ccfe9ac92e7732058ff500338","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba2a17c9cf8645ebf68a31e9d300d45e606f674ccfe9ac92e7732058ff500338","first_computed_at":"2026-05-18T02:50:23.053047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:23.053047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HwFgKnGfzMDeTxz44xd81o5nuPmCBG9hlsBZZ3oD6HKH+98be9qCpnZKK67ewZPlf+N/GJKS/R2G1zJi+tjyBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:23.053607Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4483","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ed72f115b805ee1a7765a191c8ba7253ed9d9aaec1cbb5233fa2bc7ff928ece","sha256:b8424647d7fe0e2f150a621ffadb1563c1c9b6a9bee0cd7c6fa91128a64e5959"],"state_sha256":"c6e74688759ef6c8b1350d09f208e0a1f439dfb577132d2dca17dff3fd32cda2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JiAJoxp4SArRJeEpLg6fZgCSLuDpg+yU3JfJ6NWl5yt+WYqtm+RrVgVO3pcTWS3OK23Fl1eratwKX+end69oAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T23:48:31.471762Z","bundle_sha256":"77521dbb55dbbecd0fa91f57481551c6fcfeae496d694c8fc31b4f81cb192f7e"}}