{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:G5WCTZ4SYLQN5QJHSCWUYLDARY","short_pith_number":"pith:G5WCTZ4S","canonical_record":{"source":{"id":"1905.07124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-17T06:11:49Z","cross_cats_sorted":[],"title_canon_sha256":"bdaaffe8df3946245de13efac4ec1925ea6649ca059b2cd77e49f743cb3fbce5","abstract_canon_sha256":"14861fed0555c98a4a6b022f3acf7109b988200895b2a746f2476dd1556e0136"},"schema_version":"1.0"},"canonical_sha256":"376c29e792c2e0dec12790ad4c2c608e2e68b64ed7a2bf5e3b3ebe64c218c768","source":{"kind":"arxiv","id":"1905.07124","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07124","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07124v1","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07124","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"G5WCTZ4SYLQN","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"G5WCTZ4SYLQN5QJH","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"G5WCTZ4S","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:G5WCTZ4SYLQN5QJHSCWUYLDARY","target":"record","payload":{"canonical_record":{"source":{"id":"1905.07124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-17T06:11:49Z","cross_cats_sorted":[],"title_canon_sha256":"bdaaffe8df3946245de13efac4ec1925ea6649ca059b2cd77e49f743cb3fbce5","abstract_canon_sha256":"14861fed0555c98a4a6b022f3acf7109b988200895b2a746f2476dd1556e0136"},"schema_version":"1.0"},"canonical_sha256":"376c29e792c2e0dec12790ad4c2c608e2e68b64ed7a2bf5e3b3ebe64c218c768","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:57.245171Z","signature_b64":"XIdlNSejzQDfDQ1a2CdAcjTsEM/eskqXgoKkWgtCDpohWXGqQffnhRs3DbNhEIXH2dzmQPjDQkxbD4clNxoHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"376c29e792c2e0dec12790ad4c2c608e2e68b64ed7a2bf5e3b3ebe64c218c768","last_reissued_at":"2026-05-17T23:45:57.244645Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:57.244645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.07124","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":"2026-05-17T23:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BVrfoVtk8D/DBYFOmLXl0A5GMXrElLL+O75nwWSFM4IFszXx3sXWfwU3nuP9kN8Id1FoTtkkeN4pqEuCdVO0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:58:12.092328Z"},"content_sha256":"49f0ba2abe763171cfae263d3c59eec0b260e5e43e81cfa1956ed3b57f9a1803","schema_version":"1.0","event_id":"sha256:49f0ba2abe763171cfae263d3c59eec0b260e5e43e81cfa1956ed3b57f9a1803"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:G5WCTZ4SYLQN5QJHSCWUYLDARY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variations of largest rectangle recognition amidst a bichromatic point set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Ankush Acharyya, Minati De, Subhas C. Nandy, Supantha Pandit","submitted_at":"2019-05-17T06:11:49Z","abstract_excerpt":"Classical separability problem involving multi-color point sets is an important area of study in computational geometry. In this paper, we study different separability problems for bichromatic point set P=P_r\\cup P_b on a plane, where $P_r$ and $P_b$ represent the set of n red points and m blue points respectively, and the objective is to compute a monochromatic object of the desired type and of maximum size. We propose in-place algorithms for computing (i) an arbitrarily oriented monochromatic rectangle of maximum size in R^2, (ii) an axis-parallel monochromatic cuboid of maximum size in R^3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07124","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":"2026-05-17T23:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9PcdhY1Hx5+Xj9sSnM0rVL29jR7dITR1p+vnEO6luvZ9hUkk9u1VdcJtqbEBm7Bgvo88/AmcifqIEaEIifVVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:58:12.092683Z"},"content_sha256":"c583de38fd068b38e2fac1dd7d66eda2ed8a472068bfbe719a4a6d5d66af68c1","schema_version":"1.0","event_id":"sha256:c583de38fd068b38e2fac1dd7d66eda2ed8a472068bfbe719a4a6d5d66af68c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G5WCTZ4SYLQN5QJHSCWUYLDARY/bundle.json","state_url":"https://pith.science/pith/G5WCTZ4SYLQN5QJHSCWUYLDARY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G5WCTZ4SYLQN5QJHSCWUYLDARY/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":"2026-06-03T18:58:12Z","links":{"resolver":"https://pith.science/pith/G5WCTZ4SYLQN5QJHSCWUYLDARY","bundle":"https://pith.science/pith/G5WCTZ4SYLQN5QJHSCWUYLDARY/bundle.json","state":"https://pith.science/pith/G5WCTZ4SYLQN5QJHSCWUYLDARY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G5WCTZ4SYLQN5QJHSCWUYLDARY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:G5WCTZ4SYLQN5QJHSCWUYLDARY","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":"14861fed0555c98a4a6b022f3acf7109b988200895b2a746f2476dd1556e0136","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-17T06:11:49Z","title_canon_sha256":"bdaaffe8df3946245de13efac4ec1925ea6649ca059b2cd77e49f743cb3fbce5"},"schema_version":"1.0","source":{"id":"1905.07124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07124","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07124v1","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07124","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"G5WCTZ4SYLQN","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"G5WCTZ4SYLQN5QJH","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"G5WCTZ4S","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:c583de38fd068b38e2fac1dd7d66eda2ed8a472068bfbe719a4a6d5d66af68c1","target":"graph","created_at":"2026-05-17T23:45:57Z","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":"Classical separability problem involving multi-color point sets is an important area of study in computational geometry. In this paper, we study different separability problems for bichromatic point set P=P_r\\cup P_b on a plane, where $P_r$ and $P_b$ represent the set of n red points and m blue points respectively, and the objective is to compute a monochromatic object of the desired type and of maximum size. We propose in-place algorithms for computing (i) an arbitrarily oriented monochromatic rectangle of maximum size in R^2, (ii) an axis-parallel monochromatic cuboid of maximum size in R^3.","authors_text":"Ankush Acharyya, Minati De, Subhas C. Nandy, Supantha Pandit","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-17T06:11:49Z","title":"Variations of largest rectangle recognition amidst a bichromatic point set"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07124","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":"sha256:49f0ba2abe763171cfae263d3c59eec0b260e5e43e81cfa1956ed3b57f9a1803","target":"record","created_at":"2026-05-17T23:45:57Z","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":"14861fed0555c98a4a6b022f3acf7109b988200895b2a746f2476dd1556e0136","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-17T06:11:49Z","title_canon_sha256":"bdaaffe8df3946245de13efac4ec1925ea6649ca059b2cd77e49f743cb3fbce5"},"schema_version":"1.0","source":{"id":"1905.07124","kind":"arxiv","version":1}},"canonical_sha256":"376c29e792c2e0dec12790ad4c2c608e2e68b64ed7a2bf5e3b3ebe64c218c768","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"376c29e792c2e0dec12790ad4c2c608e2e68b64ed7a2bf5e3b3ebe64c218c768","first_computed_at":"2026-05-17T23:45:57.244645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:57.244645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XIdlNSejzQDfDQ1a2CdAcjTsEM/eskqXgoKkWgtCDpohWXGqQffnhRs3DbNhEIXH2dzmQPjDQkxbD4clNxoHCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:57.245171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.07124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49f0ba2abe763171cfae263d3c59eec0b260e5e43e81cfa1956ed3b57f9a1803","sha256:c583de38fd068b38e2fac1dd7d66eda2ed8a472068bfbe719a4a6d5d66af68c1"],"state_sha256":"acd467d037cefe1cfd6bbe6eefc1106856f9e0e921087af8d47d2cb23131883f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRF/DCWvhGnPmGLkMjwroszPsbPqdZf2SfCl5BBvTw6P0/M9GDRVFbMagU23uxRSzbI08BoJRXDvnLKAlWwVBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T18:58:12.095081Z","bundle_sha256":"3d96be0db897ef3788977316997913a4153f5a81b47fab0e4d09328dd9e54af0"}}