{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AD7QE2SRWOMKMOIKSICXLZUGPS","short_pith_number":"pith:AD7QE2SR","canonical_record":{"source":{"id":"1208.3339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-16T11:00:22Z","cross_cats_sorted":[],"title_canon_sha256":"7011c260f9fae3950d4e03df2c34f9b062d6e1f8c84e481abb3792df1daf6bab","abstract_canon_sha256":"e1a988b1e8e3a07a44625204fe49d1d3192fbc848aecf52819117c0baf5dd96e"},"schema_version":"1.0"},"canonical_sha256":"00ff026a51b398a6390a920575e6867c911e4fd7f044d1351300e050b0221ee6","source":{"kind":"arxiv","id":"1208.3339","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3339","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3339v2","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3339","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"pith_short_12","alias_value":"AD7QE2SRWOMK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AD7QE2SRWOMKMOIK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AD7QE2SR","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AD7QE2SRWOMKMOIKSICXLZUGPS","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-16T11:00:22Z","cross_cats_sorted":[],"title_canon_sha256":"7011c260f9fae3950d4e03df2c34f9b062d6e1f8c84e481abb3792df1daf6bab","abstract_canon_sha256":"e1a988b1e8e3a07a44625204fe49d1d3192fbc848aecf52819117c0baf5dd96e"},"schema_version":"1.0"},"canonical_sha256":"00ff026a51b398a6390a920575e6867c911e4fd7f044d1351300e050b0221ee6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:06.411567Z","signature_b64":"o4eW0wHxaok64HKOGrnZqzVZxMUoqQcGu8sPqy0xBKNnlZIXY/83HpIJRRTdLre8/GJvEHfMrv98kAy/1OWBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00ff026a51b398a6390a920575e6867c911e4fd7f044d1351300e050b0221ee6","last_reissued_at":"2026-05-18T03:16:06.411095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:06.411095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3339","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":"2026-05-18T03:16:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9uyFI9/V4PR+Ze3gCuE4KynOcxbatU0ZZfztLySBN+vqv8C0dQUfO/v4gCPfexcRv+4HMUZIT3u5/WrTSb40DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T14:06:13.398255Z"},"content_sha256":"6016424552c1a240ec77790a0715a3f5398e8137c0d0553d96c9ed05d2a4563b","schema_version":"1.0","event_id":"sha256:6016424552c1a240ec77790a0715a3f5398e8137c0d0553d96c9ed05d2a4563b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AD7QE2SRWOMKMOIKSICXLZUGPS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hirota equation and the quantum plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Adam Doliwa","submitted_at":"2012-08-16T11:00:22Z","abstract_excerpt":"We discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps. We also present the Darboux-type transformations, and we review symmetries of the Desargues maps from the point of view of root lattices of type A and the action of the corresponding affine Weyl group. Such a point of view facilities to study the relation of Desargues maps and the discrete conjugate nets. Recent investigation of geometric integrability of Desargues maps allowed to introduce two maps satisfying fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3339","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":""},"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":"2026-05-18T03:16:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTdCnUyI436X6T9IGwnlocj9DAXnvTvqmmm6HnCVzHtyl12dmYWvvjgh+rkeFhveXeEO+gUzVPG+1c+hKOBUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T14:06:13.398623Z"},"content_sha256":"cd102b87d651f87c10dc2f8ca52911c5461c33e2b2fc8d59de54b2f1026f05d2","schema_version":"1.0","event_id":"sha256:cd102b87d651f87c10dc2f8ca52911c5461c33e2b2fc8d59de54b2f1026f05d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AD7QE2SRWOMKMOIKSICXLZUGPS/bundle.json","state_url":"https://pith.science/pith/AD7QE2SRWOMKMOIKSICXLZUGPS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AD7QE2SRWOMKMOIKSICXLZUGPS/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":"2026-07-01T14:06:13Z","links":{"resolver":"https://pith.science/pith/AD7QE2SRWOMKMOIKSICXLZUGPS","bundle":"https://pith.science/pith/AD7QE2SRWOMKMOIKSICXLZUGPS/bundle.json","state":"https://pith.science/pith/AD7QE2SRWOMKMOIKSICXLZUGPS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AD7QE2SRWOMKMOIKSICXLZUGPS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AD7QE2SRWOMKMOIKSICXLZUGPS","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":"e1a988b1e8e3a07a44625204fe49d1d3192fbc848aecf52819117c0baf5dd96e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-16T11:00:22Z","title_canon_sha256":"7011c260f9fae3950d4e03df2c34f9b062d6e1f8c84e481abb3792df1daf6bab"},"schema_version":"1.0","source":{"id":"1208.3339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3339","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3339v2","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3339","created_at":"2026-05-18T03:16:06Z"},{"alias_kind":"pith_short_12","alias_value":"AD7QE2SRWOMK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AD7QE2SRWOMKMOIK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AD7QE2SR","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:cd102b87d651f87c10dc2f8ca52911c5461c33e2b2fc8d59de54b2f1026f05d2","target":"graph","created_at":"2026-05-18T03:16:06Z","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 discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps. We also present the Darboux-type transformations, and we review symmetries of the Desargues maps from the point of view of root lattices of type A and the action of the corresponding affine Weyl group. Such a point of view facilities to study the relation of Desargues maps and the discrete conjugate nets. Recent investigation of geometric integrability of Desargues maps allowed to introduce two maps satisfying fu","authors_text":"Adam Doliwa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-16T11:00:22Z","title":"Hirota equation and the quantum plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3339","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":"sha256:6016424552c1a240ec77790a0715a3f5398e8137c0d0553d96c9ed05d2a4563b","target":"record","created_at":"2026-05-18T03:16:06Z","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":"e1a988b1e8e3a07a44625204fe49d1d3192fbc848aecf52819117c0baf5dd96e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-16T11:00:22Z","title_canon_sha256":"7011c260f9fae3950d4e03df2c34f9b062d6e1f8c84e481abb3792df1daf6bab"},"schema_version":"1.0","source":{"id":"1208.3339","kind":"arxiv","version":2}},"canonical_sha256":"00ff026a51b398a6390a920575e6867c911e4fd7f044d1351300e050b0221ee6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00ff026a51b398a6390a920575e6867c911e4fd7f044d1351300e050b0221ee6","first_computed_at":"2026-05-18T03:16:06.411095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:06.411095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o4eW0wHxaok64HKOGrnZqzVZxMUoqQcGu8sPqy0xBKNnlZIXY/83HpIJRRTdLre8/GJvEHfMrv98kAy/1OWBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:06.411567Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6016424552c1a240ec77790a0715a3f5398e8137c0d0553d96c9ed05d2a4563b","sha256:cd102b87d651f87c10dc2f8ca52911c5461c33e2b2fc8d59de54b2f1026f05d2"],"state_sha256":"3e4ce40e285f4dd6da875b96c357925a94da538c505e1034127d8ac464ebf763"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eflVgVetb4ykLC/kvy84d6i6Ckt2YMz8+NzDekKikl0fE0Fc5JZwXLN92ZTD+2XbXY+nkeVx4N2XYx9cQv57AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T14:06:13.400660Z","bundle_sha256":"0f2d10efb2eb1f9e0d3a2098b219aa22132e3edfaabda9f262c423dd0f51ad3a"}}