{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:V35CORWP3E2BZ5AX5W3LHZ45AD","short_pith_number":"pith:V35CORWP","canonical_record":{"source":{"id":"1410.2516","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-10-09T16:06:41Z","cross_cats_sorted":[],"title_canon_sha256":"a3bc0e24c96695aaec350fe6a78bd1df330d36fb4d59824de68f19bb356bdec7","abstract_canon_sha256":"4342637b7c64a9626e0406ab33c2a3dabc4e0790f6d46f046c2298cf583c2a30"},"schema_version":"1.0"},"canonical_sha256":"aefa2746cfd9341cf417edb6b3e79d00efaf3a0c58d557ff8aa318db3c337774","source":{"kind":"arxiv","id":"1410.2516","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2516","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2516v4","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2516","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"pith_short_12","alias_value":"V35CORWP3E2B","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V35CORWP3E2BZ5AX","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V35CORWP","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:V35CORWP3E2BZ5AX5W3LHZ45AD","target":"record","payload":{"canonical_record":{"source":{"id":"1410.2516","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-10-09T16:06:41Z","cross_cats_sorted":[],"title_canon_sha256":"a3bc0e24c96695aaec350fe6a78bd1df330d36fb4d59824de68f19bb356bdec7","abstract_canon_sha256":"4342637b7c64a9626e0406ab33c2a3dabc4e0790f6d46f046c2298cf583c2a30"},"schema_version":"1.0"},"canonical_sha256":"aefa2746cfd9341cf417edb6b3e79d00efaf3a0c58d557ff8aa318db3c337774","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:07.226548Z","signature_b64":"GEpXnCG0s8upP3KL14Xu0DGby5rxdwNsQ6Q24DVlt4ipujhCZEoBFYJ8SwGf6rbCEPK3y1LkTI5ZCIdMd5bjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aefa2746cfd9341cf417edb6b3e79d00efaf3a0c58d557ff8aa318db3c337774","last_reissued_at":"2026-05-18T02:32:07.226154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:07.226154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.2516","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/lyK5GWuYcoczzQpSAhPcKUh9xpOt/6InXxGzlrF4FfThLSiepdQ3NgOO6lWFf8ihsMWZJm/M53XNmdEZ5X9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:37:06.170925Z"},"content_sha256":"43f1e5551e236ba1353c84e3100b4cd812bac842fe5d3bb514601c80dba34975","schema_version":"1.0","event_id":"sha256:43f1e5551e236ba1353c84e3100b4cd812bac842fe5d3bb514601c80dba34975"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:V35CORWP3E2BZ5AX5W3LHZ45AD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The generic pair conjecture for dependent finite diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Itay Kaplan, Noa Lavi, Saharon Shelah","submitted_at":"2014-10-09T16:06:41Z","abstract_excerpt":"This paper generalizes Shelah's generic pair conjecture (now theorem) for the measurable cardinal case from first order theories to finite diagrams. We use homogeneous models in the place of saturated models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2516","kind":"arxiv","version":4},"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":"2026-05-18T02:32:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9flwiCwCE/ObS5pXg8Uqr9yLgplsxLvFcnZoMbzYS4eFfNeCospw2q8pT+LjOI5F7Usz3qglZXQw774IZdlhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:37:06.171269Z"},"content_sha256":"b277f29ceb8d2737e68da8a79499215beb2d541dcf841305a01ed52789e67823","schema_version":"1.0","event_id":"sha256:b277f29ceb8d2737e68da8a79499215beb2d541dcf841305a01ed52789e67823"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V35CORWP3E2BZ5AX5W3LHZ45AD/bundle.json","state_url":"https://pith.science/pith/V35CORWP3E2BZ5AX5W3LHZ45AD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V35CORWP3E2BZ5AX5W3LHZ45AD/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":"2026-06-02T03:37:06Z","links":{"resolver":"https://pith.science/pith/V35CORWP3E2BZ5AX5W3LHZ45AD","bundle":"https://pith.science/pith/V35CORWP3E2BZ5AX5W3LHZ45AD/bundle.json","state":"https://pith.science/pith/V35CORWP3E2BZ5AX5W3LHZ45AD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V35CORWP3E2BZ5AX5W3LHZ45AD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:V35CORWP3E2BZ5AX5W3LHZ45AD","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":"4342637b7c64a9626e0406ab33c2a3dabc4e0790f6d46f046c2298cf583c2a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-10-09T16:06:41Z","title_canon_sha256":"a3bc0e24c96695aaec350fe6a78bd1df330d36fb4d59824de68f19bb356bdec7"},"schema_version":"1.0","source":{"id":"1410.2516","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2516","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2516v4","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2516","created_at":"2026-05-18T02:32:07Z"},{"alias_kind":"pith_short_12","alias_value":"V35CORWP3E2B","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V35CORWP3E2BZ5AX","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V35CORWP","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:b277f29ceb8d2737e68da8a79499215beb2d541dcf841305a01ed52789e67823","target":"graph","created_at":"2026-05-18T02:32:07Z","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":"This paper generalizes Shelah's generic pair conjecture (now theorem) for the measurable cardinal case from first order theories to finite diagrams. We use homogeneous models in the place of saturated models.","authors_text":"Itay Kaplan, Noa Lavi, Saharon Shelah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-10-09T16:06:41Z","title":"The generic pair conjecture for dependent finite diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2516","kind":"arxiv","version":4},"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":"sha256:43f1e5551e236ba1353c84e3100b4cd812bac842fe5d3bb514601c80dba34975","target":"record","created_at":"2026-05-18T02:32:07Z","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":"4342637b7c64a9626e0406ab33c2a3dabc4e0790f6d46f046c2298cf583c2a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-10-09T16:06:41Z","title_canon_sha256":"a3bc0e24c96695aaec350fe6a78bd1df330d36fb4d59824de68f19bb356bdec7"},"schema_version":"1.0","source":{"id":"1410.2516","kind":"arxiv","version":4}},"canonical_sha256":"aefa2746cfd9341cf417edb6b3e79d00efaf3a0c58d557ff8aa318db3c337774","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aefa2746cfd9341cf417edb6b3e79d00efaf3a0c58d557ff8aa318db3c337774","first_computed_at":"2026-05-18T02:32:07.226154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:07.226154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GEpXnCG0s8upP3KL14Xu0DGby5rxdwNsQ6Q24DVlt4ipujhCZEoBFYJ8SwGf6rbCEPK3y1LkTI5ZCIdMd5bjCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:07.226548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2516","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43f1e5551e236ba1353c84e3100b4cd812bac842fe5d3bb514601c80dba34975","sha256:b277f29ceb8d2737e68da8a79499215beb2d541dcf841305a01ed52789e67823"],"state_sha256":"24c2d27a6b0b73b97c9faea6f5d643d1000f63251c735f9610afa5d957aea680"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQVjE5+c0qzoYrTE46oGUkxDb2S9fAGIJyJiZ0yJsF35kQS6C8qn0Flre2CrHeVlJ7RXDzTv7NotMxlBbJquCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:37:06.173235Z","bundle_sha256":"ce229bae51e82417417a1259299bf1e90326b8060e0206dea71ea58c388b9528"}}