{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3KQJ3IWLUXNMGVDSVUM575DORR","short_pith_number":"pith:3KQJ3IWL","canonical_record":{"source":{"id":"1409.1260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-09-03T21:07:35Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"dc1ba874116fca956003b9ebef6bff3eb400462c4ac61d5ffce7e382f0081327","abstract_canon_sha256":"1992ebee1eeaa72f09a4e18af8a84f9eb0d2415f8b2a5531d0d6972d365acf3f"},"schema_version":"1.0"},"canonical_sha256":"daa09da2cba5dac35472ad19dff46e8c77eac226b0a9cffaa9763416b5a2c556","source":{"kind":"arxiv","id":"1409.1260","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1260","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1260v1","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1260","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"3KQJ3IWLUXNM","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3KQJ3IWLUXNMGVDS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3KQJ3IWL","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3KQJ3IWLUXNMGVDSVUM575DORR","target":"record","payload":{"canonical_record":{"source":{"id":"1409.1260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-09-03T21:07:35Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"dc1ba874116fca956003b9ebef6bff3eb400462c4ac61d5ffce7e382f0081327","abstract_canon_sha256":"1992ebee1eeaa72f09a4e18af8a84f9eb0d2415f8b2a5531d0d6972d365acf3f"},"schema_version":"1.0"},"canonical_sha256":"daa09da2cba5dac35472ad19dff46e8c77eac226b0a9cffaa9763416b5a2c556","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:27.457222Z","signature_b64":"FzpITp/ql6CuFuSsJPHpSK3Is0PRz9OP9qEdik9Qu+lli0seJdyQZL+B8mF2XMHJgrKH6QPrIzo+2R4+k0jkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daa09da2cba5dac35472ad19dff46e8c77eac226b0a9cffaa9763416b5a2c556","last_reissued_at":"2026-05-18T02:43:27.456557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:27.456557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.1260","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":"2026-05-18T02:43:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"85S+X/0jfaLqPm2n7tZob+QlFoi9K5sJ78ea7LRwMJZa9FXgG4Km4yQpplWpn/kxCpw9N9XNog+7SFJ3iXc1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T22:20:40.779765Z"},"content_sha256":"860d7dae38362131abba35ab24e2f1382705296d3d156d968b29a13e5469adb0","schema_version":"1.0","event_id":"sha256:860d7dae38362131abba35ab24e2f1382705296d3d156d968b29a13e5469adb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3KQJ3IWLUXNMGVDSVUM575DORR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\\'Album de figurinhas da Copa do Mundo: uma abordagem via cadeias de Markov","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.HO","authors_text":"Leandro Morgado","submitted_at":"2014-09-03T21:07:35Z","abstract_excerpt":"Using Markov chains, we present some probabilistic comments about the sticker album of 2014 Fifa World Cup."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1260","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":"2026-05-18T02:43:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cpil+wv1qu0j2PBg+3YYpMvCko3dlAIunDla66U33Xh6smVpkXpr5Uujhqr5hftuJhGrNqWzQycpswO9qHHEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T22:20:40.780096Z"},"content_sha256":"a1a0ab08b6f6d3b106069c80f1675938f8799235da3a6b6186e03ef6d096ac7c","schema_version":"1.0","event_id":"sha256:a1a0ab08b6f6d3b106069c80f1675938f8799235da3a6b6186e03ef6d096ac7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KQJ3IWLUXNMGVDSVUM575DORR/bundle.json","state_url":"https://pith.science/pith/3KQJ3IWLUXNMGVDSVUM575DORR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KQJ3IWLUXNMGVDSVUM575DORR/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":"2026-06-26T22:20:40Z","links":{"resolver":"https://pith.science/pith/3KQJ3IWLUXNMGVDSVUM575DORR","bundle":"https://pith.science/pith/3KQJ3IWLUXNMGVDSVUM575DORR/bundle.json","state":"https://pith.science/pith/3KQJ3IWLUXNMGVDSVUM575DORR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KQJ3IWLUXNMGVDSVUM575DORR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3KQJ3IWLUXNMGVDSVUM575DORR","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":"1992ebee1eeaa72f09a4e18af8a84f9eb0d2415f8b2a5531d0d6972d365acf3f","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-09-03T21:07:35Z","title_canon_sha256":"dc1ba874116fca956003b9ebef6bff3eb400462c4ac61d5ffce7e382f0081327"},"schema_version":"1.0","source":{"id":"1409.1260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1260","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1260v1","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1260","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"3KQJ3IWLUXNM","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3KQJ3IWLUXNMGVDS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3KQJ3IWL","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:a1a0ab08b6f6d3b106069c80f1675938f8799235da3a6b6186e03ef6d096ac7c","target":"graph","created_at":"2026-05-18T02:43:27Z","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":"Using Markov chains, we present some probabilistic comments about the sticker album of 2014 Fifa World Cup.","authors_text":"Leandro Morgado","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-09-03T21:07:35Z","title":"\\'Album de figurinhas da Copa do Mundo: uma abordagem via cadeias de Markov"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1260","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":"sha256:860d7dae38362131abba35ab24e2f1382705296d3d156d968b29a13e5469adb0","target":"record","created_at":"2026-05-18T02:43:27Z","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":"1992ebee1eeaa72f09a4e18af8a84f9eb0d2415f8b2a5531d0d6972d365acf3f","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-09-03T21:07:35Z","title_canon_sha256":"dc1ba874116fca956003b9ebef6bff3eb400462c4ac61d5ffce7e382f0081327"},"schema_version":"1.0","source":{"id":"1409.1260","kind":"arxiv","version":1}},"canonical_sha256":"daa09da2cba5dac35472ad19dff46e8c77eac226b0a9cffaa9763416b5a2c556","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daa09da2cba5dac35472ad19dff46e8c77eac226b0a9cffaa9763416b5a2c556","first_computed_at":"2026-05-18T02:43:27.456557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:27.456557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FzpITp/ql6CuFuSsJPHpSK3Is0PRz9OP9qEdik9Qu+lli0seJdyQZL+B8mF2XMHJgrKH6QPrIzo+2R4+k0jkBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:27.457222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:860d7dae38362131abba35ab24e2f1382705296d3d156d968b29a13e5469adb0","sha256:a1a0ab08b6f6d3b106069c80f1675938f8799235da3a6b6186e03ef6d096ac7c"],"state_sha256":"c443d1a793f237c87799701e84496e47a9ddf683d92260f01cb56048ab9c854c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cI7x8dTH/w9e/bZv4sI+AtJNhAWhcpMl4lpuWu9K7MoJ6g48EpUWaZRd1VNKIZILZNV3tXJ02kGC3Nbg5Z2mAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T22:20:40.781928Z","bundle_sha256":"6230ffe710c0e2ad6347706ea008fb1aafc82e137ac2a24f1577eadae0f0fd31"}}