{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FH4SM63NDKAJRHDQEUZ43VJGHE","short_pith_number":"pith:FH4SM63N","canonical_record":{"source":{"id":"1811.06386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-11-14T16:31:58Z","cross_cats_sorted":[],"title_canon_sha256":"3569c8e80e810c4d8fbcf1faadba19db66192c827c5e8cad5e188e04934ebcd0","abstract_canon_sha256":"7dc780a8cc9b5232c871d0fc5e4f2d0ff5a21d7d416b9ddfbab0d5199d28461e"},"schema_version":"1.0"},"canonical_sha256":"29f9267b6d1a80989c702533cdd5263921be5445fa509738fe1c34326cc81b24","source":{"kind":"arxiv","id":"1811.06386","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06386","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06386v1","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06386","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"FH4SM63NDKAJ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FH4SM63NDKAJRHDQ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FH4SM63N","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FH4SM63NDKAJRHDQEUZ43VJGHE","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-11-14T16:31:58Z","cross_cats_sorted":[],"title_canon_sha256":"3569c8e80e810c4d8fbcf1faadba19db66192c827c5e8cad5e188e04934ebcd0","abstract_canon_sha256":"7dc780a8cc9b5232c871d0fc5e4f2d0ff5a21d7d416b9ddfbab0d5199d28461e"},"schema_version":"1.0"},"canonical_sha256":"29f9267b6d1a80989c702533cdd5263921be5445fa509738fe1c34326cc81b24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:37.841278Z","signature_b64":"erBhKY7vqw6rOkSlqIhsAjl9OkgW0GG8p/tYWtBZus8myEohnshxafOpw+jyD5xBF6fiX7ZZ4lXL0TNQsDccBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29f9267b6d1a80989c702533cdd5263921be5445fa509738fe1c34326cc81b24","last_reissued_at":"2026-05-18T00:00:37.840765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:37.840765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06386","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":"2026-05-18T00:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UTTIO2gNnyq7DfjlNZrtDWn4rGBby1373ji9Gd1sQeVpaJ1FPw3BW052bF0EaVxL1mRsAqdZLiOPx32UAkMFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:33:01.770434Z"},"content_sha256":"c4a5607e660d04a52818c57ee59ad79bd50e3ddc771f44150bca238ef34a0c80","schema_version":"1.0","event_id":"sha256:c4a5607e660d04a52818c57ee59ad79bd50e3ddc771f44150bca238ef34a0c80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FH4SM63NDKAJRHDQEUZ43VJGHE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tropical cryptography II: extensions by homomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Dima Grigoriev, Vladimir Shpilrain","submitted_at":"2018-11-14T16:31:58Z","abstract_excerpt":"We use extensions of tropical algebras as platforms for very efficient public key exchange protocols."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06386","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":"2026-05-18T00:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"83SvpjS5M3rx4kLcJbqiLSfeLnOP4N8EGV4PqI31D0QpS1cYmupOd7dOIknKYZ4+vzIleej6pPVRlatLn2CpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:33:01.771147Z"},"content_sha256":"d1dd6236e116a240bbc7a96735adb9b0bc312f6971fcedfa4e499ea2c565a7f6","schema_version":"1.0","event_id":"sha256:d1dd6236e116a240bbc7a96735adb9b0bc312f6971fcedfa4e499ea2c565a7f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FH4SM63NDKAJRHDQEUZ43VJGHE/bundle.json","state_url":"https://pith.science/pith/FH4SM63NDKAJRHDQEUZ43VJGHE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FH4SM63NDKAJRHDQEUZ43VJGHE/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":"2026-06-01T01:33:01Z","links":{"resolver":"https://pith.science/pith/FH4SM63NDKAJRHDQEUZ43VJGHE","bundle":"https://pith.science/pith/FH4SM63NDKAJRHDQEUZ43VJGHE/bundle.json","state":"https://pith.science/pith/FH4SM63NDKAJRHDQEUZ43VJGHE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FH4SM63NDKAJRHDQEUZ43VJGHE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FH4SM63NDKAJRHDQEUZ43VJGHE","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":"7dc780a8cc9b5232c871d0fc5e4f2d0ff5a21d7d416b9ddfbab0d5199d28461e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-11-14T16:31:58Z","title_canon_sha256":"3569c8e80e810c4d8fbcf1faadba19db66192c827c5e8cad5e188e04934ebcd0"},"schema_version":"1.0","source":{"id":"1811.06386","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06386","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06386v1","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06386","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"FH4SM63NDKAJ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FH4SM63NDKAJRHDQ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FH4SM63N","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:d1dd6236e116a240bbc7a96735adb9b0bc312f6971fcedfa4e499ea2c565a7f6","target":"graph","created_at":"2026-05-18T00:00:37Z","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":"We use extensions of tropical algebras as platforms for very efficient public key exchange protocols.","authors_text":"Dima Grigoriev, Vladimir Shpilrain","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-11-14T16:31:58Z","title":"Tropical cryptography II: extensions by homomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06386","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:c4a5607e660d04a52818c57ee59ad79bd50e3ddc771f44150bca238ef34a0c80","target":"record","created_at":"2026-05-18T00:00:37Z","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":"7dc780a8cc9b5232c871d0fc5e4f2d0ff5a21d7d416b9ddfbab0d5199d28461e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-11-14T16:31:58Z","title_canon_sha256":"3569c8e80e810c4d8fbcf1faadba19db66192c827c5e8cad5e188e04934ebcd0"},"schema_version":"1.0","source":{"id":"1811.06386","kind":"arxiv","version":1}},"canonical_sha256":"29f9267b6d1a80989c702533cdd5263921be5445fa509738fe1c34326cc81b24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29f9267b6d1a80989c702533cdd5263921be5445fa509738fe1c34326cc81b24","first_computed_at":"2026-05-18T00:00:37.840765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:37.840765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"erBhKY7vqw6rOkSlqIhsAjl9OkgW0GG8p/tYWtBZus8myEohnshxafOpw+jyD5xBF6fiX7ZZ4lXL0TNQsDccBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:37.841278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06386","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4a5607e660d04a52818c57ee59ad79bd50e3ddc771f44150bca238ef34a0c80","sha256:d1dd6236e116a240bbc7a96735adb9b0bc312f6971fcedfa4e499ea2c565a7f6"],"state_sha256":"5b63fd44047fdb99e05d043f6f9d6e11eb5c95d4ae06a07ef0e6b1896785b0b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lzn4oBXUEIcm80Ev/G/hHsCz4W17e/8S+6/QlIJ9sYdIVlTQl4SyyCOsPaJBFV4dtyKCBgxmyTrG2vINeAgPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:33:01.775297Z","bundle_sha256":"0bd5a32e2ad525f81ae2ff7df0c91bfa07fe0ace247a8f673cc2c028e624b12f"}}