{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EEUSPYBXGBC27M2GP3OIVA3FON","short_pith_number":"pith:EEUSPYBX","canonical_record":{"source":{"id":"1212.4665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-12-14T20:59:23Z","cross_cats_sorted":[],"title_canon_sha256":"86b194ec388a698befd730d228f881462d3a4b3bc763b255d6d858200163b09e","abstract_canon_sha256":"5e5aa918c66126ea51a4d5103a644d983d2153ec096a5003f78458afc1421383"},"schema_version":"1.0"},"canonical_sha256":"212927e0373045afb3467edc8a83657371d7bc0ac911b63c960fdd5e25a2cc69","source":{"kind":"arxiv","id":"1212.4665","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4665","created_at":"2026-05-18T03:38:11Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4665v1","created_at":"2026-05-18T03:38:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4665","created_at":"2026-05-18T03:38:11Z"},{"alias_kind":"pith_short_12","alias_value":"EEUSPYBXGBC2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EEUSPYBXGBC27M2G","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EEUSPYBX","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EEUSPYBXGBC27M2GP3OIVA3FON","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-12-14T20:59:23Z","cross_cats_sorted":[],"title_canon_sha256":"86b194ec388a698befd730d228f881462d3a4b3bc763b255d6d858200163b09e","abstract_canon_sha256":"5e5aa918c66126ea51a4d5103a644d983d2153ec096a5003f78458afc1421383"},"schema_version":"1.0"},"canonical_sha256":"212927e0373045afb3467edc8a83657371d7bc0ac911b63c960fdd5e25a2cc69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:11.796357Z","signature_b64":"Ip6OugbHGWxSGEibnMFMDtB2JdHKY29Nxx4s/ilHRS2qtqPniM+fuzwgRrZQ97AUtPCsil5+ww+aDB1PZufyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"212927e0373045afb3467edc8a83657371d7bc0ac911b63c960fdd5e25a2cc69","last_reissued_at":"2026-05-18T03:38:11.795882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:11.795882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4665","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":"2026-05-18T03:38:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6nfKV+VeJxs6BHs/aUQf3JVFco2zRcdMMol5u0rq086U/6PbfWqtT792nHi4HlE4rJe2xpbCI6B3w3t/rVcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:17:46.940424Z"},"content_sha256":"0c6d757147d5f2a8f0dfbe0f76465ccf358a8e6c41087cc06c31f3a68a108c4d","schema_version":"1.0","event_id":"sha256:0c6d757147d5f2a8f0dfbe0f76465ccf358a8e6c41087cc06c31f3a68a108c4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EEUSPYBXGBC27M2GP3OIVA3FON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Todas as afirma\\c{c}\\~oes verdadeiras s\\~ao demonstr\\'aveis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Jaime Gaspar","submitted_at":"2012-12-14T20:59:23Z","abstract_excerpt":"In this instructional exposition in Portuguese for the popularisation of mathematics, we state and prove the completeness theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4665","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":"2026-05-18T03:38:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XTFHo5oSjOUplBRCthLTNeJAGAak8ol34qvrEWVOZuuWIY1smSx9J4lBixe8cLniwnFIdfca3VldXDkXpozVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:17:46.941067Z"},"content_sha256":"64ffa645acd47820ae1074d94019a57e37040ee1bdb106d993babe342485d210","schema_version":"1.0","event_id":"sha256:64ffa645acd47820ae1074d94019a57e37040ee1bdb106d993babe342485d210"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EEUSPYBXGBC27M2GP3OIVA3FON/bundle.json","state_url":"https://pith.science/pith/EEUSPYBXGBC27M2GP3OIVA3FON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EEUSPYBXGBC27M2GP3OIVA3FON/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":"2026-06-11T03:17:46Z","links":{"resolver":"https://pith.science/pith/EEUSPYBXGBC27M2GP3OIVA3FON","bundle":"https://pith.science/pith/EEUSPYBXGBC27M2GP3OIVA3FON/bundle.json","state":"https://pith.science/pith/EEUSPYBXGBC27M2GP3OIVA3FON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EEUSPYBXGBC27M2GP3OIVA3FON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EEUSPYBXGBC27M2GP3OIVA3FON","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":"5e5aa918c66126ea51a4d5103a644d983d2153ec096a5003f78458afc1421383","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-12-14T20:59:23Z","title_canon_sha256":"86b194ec388a698befd730d228f881462d3a4b3bc763b255d6d858200163b09e"},"schema_version":"1.0","source":{"id":"1212.4665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4665","created_at":"2026-05-18T03:38:11Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4665v1","created_at":"2026-05-18T03:38:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4665","created_at":"2026-05-18T03:38:11Z"},{"alias_kind":"pith_short_12","alias_value":"EEUSPYBXGBC2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EEUSPYBXGBC27M2G","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EEUSPYBX","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:64ffa645acd47820ae1074d94019a57e37040ee1bdb106d993babe342485d210","target":"graph","created_at":"2026-05-18T03:38:11Z","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":"In this instructional exposition in Portuguese for the popularisation of mathematics, we state and prove the completeness theorem.","authors_text":"Jaime Gaspar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-12-14T20:59:23Z","title":"Todas as afirma\\c{c}\\~oes verdadeiras s\\~ao demonstr\\'aveis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4665","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":"sha256:0c6d757147d5f2a8f0dfbe0f76465ccf358a8e6c41087cc06c31f3a68a108c4d","target":"record","created_at":"2026-05-18T03:38:11Z","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":"5e5aa918c66126ea51a4d5103a644d983d2153ec096a5003f78458afc1421383","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-12-14T20:59:23Z","title_canon_sha256":"86b194ec388a698befd730d228f881462d3a4b3bc763b255d6d858200163b09e"},"schema_version":"1.0","source":{"id":"1212.4665","kind":"arxiv","version":1}},"canonical_sha256":"212927e0373045afb3467edc8a83657371d7bc0ac911b63c960fdd5e25a2cc69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"212927e0373045afb3467edc8a83657371d7bc0ac911b63c960fdd5e25a2cc69","first_computed_at":"2026-05-18T03:38:11.795882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:11.795882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ip6OugbHGWxSGEibnMFMDtB2JdHKY29Nxx4s/ilHRS2qtqPniM+fuzwgRrZQ97AUtPCsil5+ww+aDB1PZufyCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:11.796357Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c6d757147d5f2a8f0dfbe0f76465ccf358a8e6c41087cc06c31f3a68a108c4d","sha256:64ffa645acd47820ae1074d94019a57e37040ee1bdb106d993babe342485d210"],"state_sha256":"1cb5f483cd15efe5d3946d38952020b0f37145412714d10cb90a99818f1fc52d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPIwD4y6ffnIcMIiL2VSvVQHt6VRj/HvPMYJiAtY89LLB44Lmt/Kt0FSYjlUUnxUgZN02jiLiRdC+pNiQVVPDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:17:46.944931Z","bundle_sha256":"296bbb1b428f4016370cf182e68854d04996e7aa78c8119c322f679d7bf36ba0"}}