{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HC34LL2R52MAXP5GFAQY4QCRAN","short_pith_number":"pith:HC34LL2R","canonical_record":{"source":{"id":"1107.4478","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-07-22T10:57:08Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"466e1e8c8aca958690eaa1cd207f8e3ab0d6d4ef4c32ceba9af19db1f6488757","abstract_canon_sha256":"d1d780b26b529b8b7c3a0c919ed58b1bc13a1ccf7cea084b3d332293292b4912"},"schema_version":"1.0"},"canonical_sha256":"38b7c5af51ee980bbfa628218e4051036eb45335ff722f1c5642e3c57b541ba3","source":{"kind":"arxiv","id":"1107.4478","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4478","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4478v3","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4478","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"HC34LL2R52MA","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HC34LL2R52MAXP5G","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HC34LL2R","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HC34LL2R52MAXP5GFAQY4QCRAN","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4478","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-07-22T10:57:08Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"466e1e8c8aca958690eaa1cd207f8e3ab0d6d4ef4c32ceba9af19db1f6488757","abstract_canon_sha256":"d1d780b26b529b8b7c3a0c919ed58b1bc13a1ccf7cea084b3d332293292b4912"},"schema_version":"1.0"},"canonical_sha256":"38b7c5af51ee980bbfa628218e4051036eb45335ff722f1c5642e3c57b541ba3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:27.293647Z","signature_b64":"5ofGuTf+gmu8RkWkEzFiH7HTsA0L3YC8jja/ZhnBgGekvGWzU+uyDR1A0fIJh/qfz4RETexO/ZiFmEb70cnqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38b7c5af51ee980bbfa628218e4051036eb45335ff722f1c5642e3c57b541ba3","last_reissued_at":"2026-05-18T04:05:27.293011Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:27.293011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4478","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":"2026-05-18T04:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4XdRm7zkxykAKusmm+gcKA2chBDugUMexe7CGvb2hjwcNb2vdgTodkSlyQplWlcEKLUq0Unn7/CLOafUZk9BDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T07:46:56.428542Z"},"content_sha256":"48f456257af79ea0e587e69f14e60f4fafed07add434ca1e0085aa6cd5c70e69","schema_version":"1.0","event_id":"sha256:48f456257af79ea0e587e69f14e60f4fafed07add434ca1e0085aa6cd5c70e69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HC34LL2R52MAXP5GFAQY4QCRAN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Soft Session Types (Long Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Paolo Di Giamberardino, Ugo Dal Lago","submitted_at":"2011-07-22T10:57:08Z","abstract_excerpt":"We show how systems of sessions types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as intuitionistic linear logic formulas. Our main result is the existence, for every typable process, of a polynomial bound on the length of any reduction sequence starting from it and on the size of any of its reducts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4478","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":"2026-05-18T04:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O4A7M+JpMDQLYnaSt9qQg3izZhCmOsTP6ZfH0C2q3eWFFL4oKMjl7IBtmV8fYBhE4u32aBwj3lzkw0pNOmS6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T07:46:56.428879Z"},"content_sha256":"56ea66d6ae9c8573120640ce3a7321fb3ba8c1bf614812103ed563adfe52d249","schema_version":"1.0","event_id":"sha256:56ea66d6ae9c8573120640ce3a7321fb3ba8c1bf614812103ed563adfe52d249"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HC34LL2R52MAXP5GFAQY4QCRAN/bundle.json","state_url":"https://pith.science/pith/HC34LL2R52MAXP5GFAQY4QCRAN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HC34LL2R52MAXP5GFAQY4QCRAN/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":"2026-05-21T07:46:56Z","links":{"resolver":"https://pith.science/pith/HC34LL2R52MAXP5GFAQY4QCRAN","bundle":"https://pith.science/pith/HC34LL2R52MAXP5GFAQY4QCRAN/bundle.json","state":"https://pith.science/pith/HC34LL2R52MAXP5GFAQY4QCRAN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HC34LL2R52MAXP5GFAQY4QCRAN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HC34LL2R52MAXP5GFAQY4QCRAN","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":"d1d780b26b529b8b7c3a0c919ed58b1bc13a1ccf7cea084b3d332293292b4912","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-07-22T10:57:08Z","title_canon_sha256":"466e1e8c8aca958690eaa1cd207f8e3ab0d6d4ef4c32ceba9af19db1f6488757"},"schema_version":"1.0","source":{"id":"1107.4478","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4478","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4478v3","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4478","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"HC34LL2R52MA","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HC34LL2R52MAXP5G","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HC34LL2R","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:56ea66d6ae9c8573120640ce3a7321fb3ba8c1bf614812103ed563adfe52d249","target":"graph","created_at":"2026-05-18T04:05:27Z","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 show how systems of sessions types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as intuitionistic linear logic formulas. Our main result is the existence, for every typable process, of a polynomial bound on the length of any reduction sequence starting from it and on the size of any of its reducts.","authors_text":"Paolo Di Giamberardino, Ugo Dal Lago","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-07-22T10:57:08Z","title":"Soft Session Types (Long Version)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4478","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":"sha256:48f456257af79ea0e587e69f14e60f4fafed07add434ca1e0085aa6cd5c70e69","target":"record","created_at":"2026-05-18T04:05:27Z","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":"d1d780b26b529b8b7c3a0c919ed58b1bc13a1ccf7cea084b3d332293292b4912","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-07-22T10:57:08Z","title_canon_sha256":"466e1e8c8aca958690eaa1cd207f8e3ab0d6d4ef4c32ceba9af19db1f6488757"},"schema_version":"1.0","source":{"id":"1107.4478","kind":"arxiv","version":3}},"canonical_sha256":"38b7c5af51ee980bbfa628218e4051036eb45335ff722f1c5642e3c57b541ba3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38b7c5af51ee980bbfa628218e4051036eb45335ff722f1c5642e3c57b541ba3","first_computed_at":"2026-05-18T04:05:27.293011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:27.293011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ofGuTf+gmu8RkWkEzFiH7HTsA0L3YC8jja/ZhnBgGekvGWzU+uyDR1A0fIJh/qfz4RETexO/ZiFmEb70cnqBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:27.293647Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4478","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48f456257af79ea0e587e69f14e60f4fafed07add434ca1e0085aa6cd5c70e69","sha256:56ea66d6ae9c8573120640ce3a7321fb3ba8c1bf614812103ed563adfe52d249"],"state_sha256":"fff793dbbfc8bffdde67969d783853721a351adb9ac74228e6fec11593dd9712"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R7UJwayEVvkmfwveana59L12dDL5/+R0a3B9IyUrismNjaccY+ttuvXOmaMXAeB02jFCtVC/eUGJU50NxNH8Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T07:46:56.431013Z","bundle_sha256":"45c7403fdec237dbd11d2a95cf91008d5b12d98faadf4b2deedaa25ec6fd68cb"}}