{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GSVUA4EMHTNF6NRO4X3WXYO2TA","short_pith_number":"pith:GSVUA4EM","canonical_record":{"source":{"id":"2512.02617","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2025-12-02T10:22:41Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"e8140fa91040fc27468cbae3a8e94150878a0b1177092ff30609b3e09dd668c0","abstract_canon_sha256":"20ac3d99999576cb935aea387840c9d6edc1840d780f2a59b79d045e13160a62"},"schema_version":"1.0"},"canonical_sha256":"34ab40708c3cda5f362ee5f76be1da983d2cb01365a69483ed011f9543c37e60","source":{"kind":"arxiv","id":"2512.02617","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.02617","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"2512.02617v2","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.02617","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"GSVUA4EMHTNF","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"pith_short_16","alias_value":"GSVUA4EMHTNF6NRO","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"pith_short_8","alias_value":"GSVUA4EM","created_at":"2026-05-20T00:04:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GSVUA4EMHTNF6NRO4X3WXYO2TA","target":"record","payload":{"canonical_record":{"source":{"id":"2512.02617","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2025-12-02T10:22:41Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"e8140fa91040fc27468cbae3a8e94150878a0b1177092ff30609b3e09dd668c0","abstract_canon_sha256":"20ac3d99999576cb935aea387840c9d6edc1840d780f2a59b79d045e13160a62"},"schema_version":"1.0"},"canonical_sha256":"34ab40708c3cda5f362ee5f76be1da983d2cb01365a69483ed011f9543c37e60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:18.341808Z","signature_b64":"+wxKLDCEku1089nRtp1g3lELgita8XIDKi5d4nqTZuYT9av/Cfa/ekw8VaIHWOPb9LPQv0xQXdKJaB2DBqg9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34ab40708c3cda5f362ee5f76be1da983d2cb01365a69483ed011f9543c37e60","last_reissued_at":"2026-05-20T00:04:18.341023Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:18.341023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.02617","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:04:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7dT7lP3a4sy3ZN2WhfBsZVm6WFpIWhHUXhoFs5w0zOhHAybVBUbB0Ne+Q9ul1CVOWaVhfZaEnjjPjRjT+nDoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:13:20.091399Z"},"content_sha256":"f324f127c0bf3e70644c38812dc57157aeb4a630ec89709d6919044a0c5e6891","schema_version":"1.0","event_id":"sha256:f324f127c0bf3e70644c38812dc57157aeb4a630ec89709d6919044a0c5e6891"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GSVUA4EMHTNF6NRO4X3WXYO2TA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The role of counting quantifiers in laminar set systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"cs.LO","authors_text":"Noleen K\\\"ohler, Rutger Campbell","submitted_at":"2025-12-02T10:22:41Z","abstract_excerpt":"Laminar set systems consist of non-crossing subsets of a universe with set inclusion essentially corresponding to the descendant relationship of a tree, the so-called laminar tree. Laminar set systems lie at the core of many graph decompositions such as modular decompositions, split decompositions, and bi-join decompositions. We show that from a laminar set system we can obtain the corresponding laminar tree by means of a monadic second order logic (MSO) transduction. This resolves an open question originally asked by Courcelle and is a satisfying resolution as MSO is the natural logic for set"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.02617","kind":"arxiv","version":2},"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/2512.02617/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":"2026-05-20T00:04:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N/wIIWoeiv96YGuVMxMCcak6iPq7P+EqbfciqIN30SA74d3u5FBI/VZWIVpO78GFo2Evo1wBQVemK4T8G9pTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:13:20.092119Z"},"content_sha256":"61045d4cb84fc3f1ed83bd61bd98bc4db71ca8a5cbe9c1bda7834b48117e6f3b","schema_version":"1.0","event_id":"sha256:61045d4cb84fc3f1ed83bd61bd98bc4db71ca8a5cbe9c1bda7834b48117e6f3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GSVUA4EMHTNF6NRO4X3WXYO2TA/bundle.json","state_url":"https://pith.science/pith/GSVUA4EMHTNF6NRO4X3WXYO2TA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GSVUA4EMHTNF6NRO4X3WXYO2TA/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":"2026-05-25T12:13:20Z","links":{"resolver":"https://pith.science/pith/GSVUA4EMHTNF6NRO4X3WXYO2TA","bundle":"https://pith.science/pith/GSVUA4EMHTNF6NRO4X3WXYO2TA/bundle.json","state":"https://pith.science/pith/GSVUA4EMHTNF6NRO4X3WXYO2TA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GSVUA4EMHTNF6NRO4X3WXYO2TA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GSVUA4EMHTNF6NRO4X3WXYO2TA","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":"20ac3d99999576cb935aea387840c9d6edc1840d780f2a59b79d045e13160a62","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2025-12-02T10:22:41Z","title_canon_sha256":"e8140fa91040fc27468cbae3a8e94150878a0b1177092ff30609b3e09dd668c0"},"schema_version":"1.0","source":{"id":"2512.02617","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.02617","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"2512.02617v2","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.02617","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"GSVUA4EMHTNF","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"pith_short_16","alias_value":"GSVUA4EMHTNF6NRO","created_at":"2026-05-20T00:04:18Z"},{"alias_kind":"pith_short_8","alias_value":"GSVUA4EM","created_at":"2026-05-20T00:04:18Z"}],"graph_snapshots":[{"event_id":"sha256:61045d4cb84fc3f1ed83bd61bd98bc4db71ca8a5cbe9c1bda7834b48117e6f3b","target":"graph","created_at":"2026-05-20T00:04:18Z","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/2512.02617/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Laminar set systems consist of non-crossing subsets of a universe with set inclusion essentially corresponding to the descendant relationship of a tree, the so-called laminar tree. Laminar set systems lie at the core of many graph decompositions such as modular decompositions, split decompositions, and bi-join decompositions. We show that from a laminar set system we can obtain the corresponding laminar tree by means of a monadic second order logic (MSO) transduction. This resolves an open question originally asked by Courcelle and is a satisfying resolution as MSO is the natural logic for set","authors_text":"Noleen K\\\"ohler, Rutger Campbell","cross_cats":["cs.FL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2025-12-02T10:22:41Z","title":"The role of counting quantifiers in laminar set systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.02617","kind":"arxiv","version":2},"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:f324f127c0bf3e70644c38812dc57157aeb4a630ec89709d6919044a0c5e6891","target":"record","created_at":"2026-05-20T00:04:18Z","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":"20ac3d99999576cb935aea387840c9d6edc1840d780f2a59b79d045e13160a62","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2025-12-02T10:22:41Z","title_canon_sha256":"e8140fa91040fc27468cbae3a8e94150878a0b1177092ff30609b3e09dd668c0"},"schema_version":"1.0","source":{"id":"2512.02617","kind":"arxiv","version":2}},"canonical_sha256":"34ab40708c3cda5f362ee5f76be1da983d2cb01365a69483ed011f9543c37e60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34ab40708c3cda5f362ee5f76be1da983d2cb01365a69483ed011f9543c37e60","first_computed_at":"2026-05-20T00:04:18.341023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:18.341023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+wxKLDCEku1089nRtp1g3lELgita8XIDKi5d4nqTZuYT9av/Cfa/ekw8VaIHWOPb9LPQv0xQXdKJaB2DBqg9Aw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:18.341808Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.02617","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f324f127c0bf3e70644c38812dc57157aeb4a630ec89709d6919044a0c5e6891","sha256:61045d4cb84fc3f1ed83bd61bd98bc4db71ca8a5cbe9c1bda7834b48117e6f3b"],"state_sha256":"78feb5a23b35c9c525b9ce6fe1d6e07a8d138c6c4d0d46ea2bb85815a2b434ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zxpnFpcLqe/veNdiVxYDxaKEKztclwQLyTV5WRXq/ItUZ+B9R6IUjGEah8SnOwuW+GofBwY36g05zt3CyzinBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:13:20.096480Z","bundle_sha256":"5f8060206600113848d37b32d6b1bc0324a7e0c2111c439cacf7ae37daddfdbb"}}