{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:QNCDXAWEJ3CIDU4RXQF6GDVYOF","short_pith_number":"pith:QNCDXAWE","canonical_record":{"source":{"id":"2606.31877","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-30T15:57:52Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"bd0a88252dfddf1523bd7fcd3d6adab242ec32c3f2e13cd79475d51a4409c603","abstract_canon_sha256":"366d4191fede4ed6275a1ace417d99340bfebb820f56e78efa1414c392d05d12"},"schema_version":"1.0"},"canonical_sha256":"83443b82c44ec481d391bc0be30eb87150ca05e4ed558d8a01592328cb9aa030","source":{"kind":"arxiv","id":"2606.31877","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31877","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31877v1","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31877","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"pith_short_12","alias_value":"QNCDXAWEJ3CI","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"pith_short_16","alias_value":"QNCDXAWEJ3CIDU4R","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"pith_short_8","alias_value":"QNCDXAWE","created_at":"2026-07-01T01:18:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:QNCDXAWEJ3CIDU4RXQF6GDVYOF","target":"record","payload":{"canonical_record":{"source":{"id":"2606.31877","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-30T15:57:52Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"bd0a88252dfddf1523bd7fcd3d6adab242ec32c3f2e13cd79475d51a4409c603","abstract_canon_sha256":"366d4191fede4ed6275a1ace417d99340bfebb820f56e78efa1414c392d05d12"},"schema_version":"1.0"},"canonical_sha256":"83443b82c44ec481d391bc0be30eb87150ca05e4ed558d8a01592328cb9aa030","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T01:18:18.259293Z","signature_b64":"wmfwJsaIQFv29UV3HxtQZIUFffMK7PCp4sYnyaWxuKvczs89uQGuQzsMWE0SoK48BZCxoe6LQEtnaZVyzV2CAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83443b82c44ec481d391bc0be30eb87150ca05e4ed558d8a01592328cb9aa030","last_reissued_at":"2026-07-01T01:18:18.258796Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T01:18:18.258796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.31877","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":"2026-07-01T01:18:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbd2dGywNuD1RZNuKaRtkECSdc8YlrJWvVJNPMtOntrx8BH6TzVcXWD0CmCOKP+umqvwZBAWYt2/JtMjvw2ODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:25:47.510469Z"},"content_sha256":"af04eafe779f444c8975dc8b2a6bcb04d95d0bfde12d86c7277a5a22335cb7d5","schema_version":"1.0","event_id":"sha256:af04eafe779f444c8975dc8b2a6bcb04d95d0bfde12d86c7277a5a22335cb7d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:QNCDXAWEJ3CIDU4RXQF6GDVYOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Taming Complexity in Intuitionistic Modal Logic: The Case of FIK and Its Shallow Calculus","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.LO","authors_text":"CNRS), Czech Academy of Sciences), Han Gao (Institute of Computer Science, Nicola Olivetti (Aix-Marseille University","submitted_at":"2026-06-30T15:57:52Z","abstract_excerpt":"Intuitionistic modal logics (IMLs) comprise many systems: from constructive modal logics such as CK and Wijesekera's CCDL to Fischer Servi/Simpson's IK, as well as some recently introduced variants. All of them are characterized by bi-relational semantics and have complete axiomatisations. However, from the perspective of proof theory and complexity, there are strong differences: while for constructive modal logics simple Gentzen calculi suffice, for IK more complex calculi, based on nested or labelled sequents, are needed. As a consequence, the decision problem for constructive modal logics h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31877","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.31877/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-01T01:18:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DmV0qy0ST5RPzNXyO+B1tCn88gTHzzvLt5xH+ndM0VlrBhElu9HYhXTlZZU3lY63r6LeA9x2cUJ6E7a75IgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:25:47.510852Z"},"content_sha256":"609cdcbb89412a0c3dfc9880e1653d2d4c19bffa11847f58773a4dcb52be5b3d","schema_version":"1.0","event_id":"sha256:609cdcbb89412a0c3dfc9880e1653d2d4c19bffa11847f58773a4dcb52be5b3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNCDXAWEJ3CIDU4RXQF6GDVYOF/bundle.json","state_url":"https://pith.science/pith/QNCDXAWEJ3CIDU4RXQF6GDVYOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNCDXAWEJ3CIDU4RXQF6GDVYOF/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":"2026-07-02T07:25:47Z","links":{"resolver":"https://pith.science/pith/QNCDXAWEJ3CIDU4RXQF6GDVYOF","bundle":"https://pith.science/pith/QNCDXAWEJ3CIDU4RXQF6GDVYOF/bundle.json","state":"https://pith.science/pith/QNCDXAWEJ3CIDU4RXQF6GDVYOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNCDXAWEJ3CIDU4RXQF6GDVYOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QNCDXAWEJ3CIDU4RXQF6GDVYOF","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":"366d4191fede4ed6275a1ace417d99340bfebb820f56e78efa1414c392d05d12","cross_cats_sorted":["cs.CC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-30T15:57:52Z","title_canon_sha256":"bd0a88252dfddf1523bd7fcd3d6adab242ec32c3f2e13cd79475d51a4409c603"},"schema_version":"1.0","source":{"id":"2606.31877","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31877","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31877v1","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31877","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"pith_short_12","alias_value":"QNCDXAWEJ3CI","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"pith_short_16","alias_value":"QNCDXAWEJ3CIDU4R","created_at":"2026-07-01T01:18:18Z"},{"alias_kind":"pith_short_8","alias_value":"QNCDXAWE","created_at":"2026-07-01T01:18:18Z"}],"graph_snapshots":[{"event_id":"sha256:609cdcbb89412a0c3dfc9880e1653d2d4c19bffa11847f58773a4dcb52be5b3d","target":"graph","created_at":"2026-07-01T01:18:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.31877/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Intuitionistic modal logics (IMLs) comprise many systems: from constructive modal logics such as CK and Wijesekera's CCDL to Fischer Servi/Simpson's IK, as well as some recently introduced variants. All of them are characterized by bi-relational semantics and have complete axiomatisations. However, from the perspective of proof theory and complexity, there are strong differences: while for constructive modal logics simple Gentzen calculi suffice, for IK more complex calculi, based on nested or labelled sequents, are needed. As a consequence, the decision problem for constructive modal logics h","authors_text":"CNRS), Czech Academy of Sciences), Han Gao (Institute of Computer Science, Nicola Olivetti (Aix-Marseille University","cross_cats":["cs.CC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-30T15:57:52Z","title":"Taming Complexity in Intuitionistic Modal Logic: The Case of FIK and Its Shallow Calculus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31877","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:af04eafe779f444c8975dc8b2a6bcb04d95d0bfde12d86c7277a5a22335cb7d5","target":"record","created_at":"2026-07-01T01:18:18Z","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":"366d4191fede4ed6275a1ace417d99340bfebb820f56e78efa1414c392d05d12","cross_cats_sorted":["cs.CC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-30T15:57:52Z","title_canon_sha256":"bd0a88252dfddf1523bd7fcd3d6adab242ec32c3f2e13cd79475d51a4409c603"},"schema_version":"1.0","source":{"id":"2606.31877","kind":"arxiv","version":1}},"canonical_sha256":"83443b82c44ec481d391bc0be30eb87150ca05e4ed558d8a01592328cb9aa030","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83443b82c44ec481d391bc0be30eb87150ca05e4ed558d8a01592328cb9aa030","first_computed_at":"2026-07-01T01:18:18.258796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:18:18.258796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wmfwJsaIQFv29UV3HxtQZIUFffMK7PCp4sYnyaWxuKvczs89uQGuQzsMWE0SoK48BZCxoe6LQEtnaZVyzV2CAg==","signature_status":"signed_v1","signed_at":"2026-07-01T01:18:18.259293Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31877","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af04eafe779f444c8975dc8b2a6bcb04d95d0bfde12d86c7277a5a22335cb7d5","sha256:609cdcbb89412a0c3dfc9880e1653d2d4c19bffa11847f58773a4dcb52be5b3d"],"state_sha256":"fd4ce90ee7c735f6f3e3e0e6ae25bb73fc9deebe9d257ada05e08c70cb694c23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1gilWDPtQHO64DFjXVuFSO4qO4twT/qFct1VtqzAbH2f7lt3z+2uQqP2wCCQfFWaodbjrY0iWUq2PYCGAX7yAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T07:25:47.513003Z","bundle_sha256":"c116a16b767ec3d4592f4b3d83cd19ffbdd23663d67090823f761312a5d482b1"}}