{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SH7IVKKY5CSIGJNSKPNREWHOK7","short_pith_number":"pith:SH7IVKKY","canonical_record":{"source":{"id":"1706.09533","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-29T01:15:50Z","cross_cats_sorted":[],"title_canon_sha256":"50e939182d73e928c24bb7d277ea792f7d37d828fca11baa5b2926ca14b8f9e4","abstract_canon_sha256":"a77f1ded93c410cd212d7c463a0627aa07d27120d89aa3c6fec40dfe6d8e572e"},"schema_version":"1.0"},"canonical_sha256":"91fe8aa958e8a48325b253db1258ee57ddf84625e33fee05102422bfea22385f","source":{"kind":"arxiv","id":"1706.09533","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.09533","created_at":"2026-05-18T00:41:14Z"},{"alias_kind":"arxiv_version","alias_value":"1706.09533v1","created_at":"2026-05-18T00:41:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09533","created_at":"2026-05-18T00:41:14Z"},{"alias_kind":"pith_short_12","alias_value":"SH7IVKKY5CSI","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SH7IVKKY5CSIGJNS","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SH7IVKKY","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SH7IVKKY5CSIGJNSKPNREWHOK7","target":"record","payload":{"canonical_record":{"source":{"id":"1706.09533","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-29T01:15:50Z","cross_cats_sorted":[],"title_canon_sha256":"50e939182d73e928c24bb7d277ea792f7d37d828fca11baa5b2926ca14b8f9e4","abstract_canon_sha256":"a77f1ded93c410cd212d7c463a0627aa07d27120d89aa3c6fec40dfe6d8e572e"},"schema_version":"1.0"},"canonical_sha256":"91fe8aa958e8a48325b253db1258ee57ddf84625e33fee05102422bfea22385f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:14.806585Z","signature_b64":"cadI06VGNVU3/YjjvORWwzN2QH4T9uwncpGKw7pNivn6GK5WCbxqcJcwEzxuKWuilr+pmZfF3gt1WTqb3qbuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91fe8aa958e8a48325b253db1258ee57ddf84625e33fee05102422bfea22385f","last_reissued_at":"2026-05-18T00:41:14.805779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:14.805779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.09533","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":"2026-05-18T00:41:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/GSGI+mhlfxnvByIWyj0JLhTsTuJPT5KR5yVaiFEHAej3nZvGD6jW4iFK8NS2pmEc8OaH8XCHmF2laMuflIWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:37:55.767274Z"},"content_sha256":"bfd405c78edadbd1b8ef3f23fdc7f3a34413095d19f3067873266222f43943b7","schema_version":"1.0","event_id":"sha256:bfd405c78edadbd1b8ef3f23fdc7f3a34413095d19f3067873266222f43943b7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SH7IVKKY5CSIGJNSKPNREWHOK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximation Schemes for Covering and Packing in the Streaming Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Christopher Liaw, Paul Liu, Robert Reiss","submitted_at":"2017-06-29T01:15:50Z","abstract_excerpt":"The shifting strategy, introduced by Hochbaum and Maass, and independently by Baker, is a unified framework for devising polynomial approximation schemes to NP-Hard problems. This strategy has been used to great success within the computational geometry community in a plethora of different applications; most notably covering, packing, and clustering problems. In this paper, we revisit the shifting strategy in the context of the streaming model and develop a streaming-friendly shifting strategy. When combined with the shifting coreset method introduced by Fonseca et al., we obtain streaming alg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09533","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":"2026-05-18T00:41:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y0qrZTch/XtGqH5o7sPIazuy8KmexVJu0fAtrbthTAJPfdlstBJu/0oObroKrSHr8twULVcn3Pw3bupD3FmhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:37:55.767924Z"},"content_sha256":"6985d005140724cfba4bc1fa3c75a52102ec35e740f66183dcbd579abb41d8d0","schema_version":"1.0","event_id":"sha256:6985d005140724cfba4bc1fa3c75a52102ec35e740f66183dcbd579abb41d8d0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SH7IVKKY5CSIGJNSKPNREWHOK7/bundle.json","state_url":"https://pith.science/pith/SH7IVKKY5CSIGJNSKPNREWHOK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SH7IVKKY5CSIGJNSKPNREWHOK7/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":"2026-06-02T04:37:55Z","links":{"resolver":"https://pith.science/pith/SH7IVKKY5CSIGJNSKPNREWHOK7","bundle":"https://pith.science/pith/SH7IVKKY5CSIGJNSKPNREWHOK7/bundle.json","state":"https://pith.science/pith/SH7IVKKY5CSIGJNSKPNREWHOK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SH7IVKKY5CSIGJNSKPNREWHOK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SH7IVKKY5CSIGJNSKPNREWHOK7","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":"a77f1ded93c410cd212d7c463a0627aa07d27120d89aa3c6fec40dfe6d8e572e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-29T01:15:50Z","title_canon_sha256":"50e939182d73e928c24bb7d277ea792f7d37d828fca11baa5b2926ca14b8f9e4"},"schema_version":"1.0","source":{"id":"1706.09533","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.09533","created_at":"2026-05-18T00:41:14Z"},{"alias_kind":"arxiv_version","alias_value":"1706.09533v1","created_at":"2026-05-18T00:41:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09533","created_at":"2026-05-18T00:41:14Z"},{"alias_kind":"pith_short_12","alias_value":"SH7IVKKY5CSI","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SH7IVKKY5CSIGJNS","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SH7IVKKY","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:6985d005140724cfba4bc1fa3c75a52102ec35e740f66183dcbd579abb41d8d0","target":"graph","created_at":"2026-05-18T00:41:14Z","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":"The shifting strategy, introduced by Hochbaum and Maass, and independently by Baker, is a unified framework for devising polynomial approximation schemes to NP-Hard problems. This strategy has been used to great success within the computational geometry community in a plethora of different applications; most notably covering, packing, and clustering problems. In this paper, we revisit the shifting strategy in the context of the streaming model and develop a streaming-friendly shifting strategy. When combined with the shifting coreset method introduced by Fonseca et al., we obtain streaming alg","authors_text":"Christopher Liaw, Paul Liu, Robert Reiss","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-29T01:15:50Z","title":"Approximation Schemes for Covering and Packing in the Streaming Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09533","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:bfd405c78edadbd1b8ef3f23fdc7f3a34413095d19f3067873266222f43943b7","target":"record","created_at":"2026-05-18T00:41:14Z","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":"a77f1ded93c410cd212d7c463a0627aa07d27120d89aa3c6fec40dfe6d8e572e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-29T01:15:50Z","title_canon_sha256":"50e939182d73e928c24bb7d277ea792f7d37d828fca11baa5b2926ca14b8f9e4"},"schema_version":"1.0","source":{"id":"1706.09533","kind":"arxiv","version":1}},"canonical_sha256":"91fe8aa958e8a48325b253db1258ee57ddf84625e33fee05102422bfea22385f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91fe8aa958e8a48325b253db1258ee57ddf84625e33fee05102422bfea22385f","first_computed_at":"2026-05-18T00:41:14.805779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:14.805779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cadI06VGNVU3/YjjvORWwzN2QH4T9uwncpGKw7pNivn6GK5WCbxqcJcwEzxuKWuilr+pmZfF3gt1WTqb3qbuBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:14.806585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.09533","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfd405c78edadbd1b8ef3f23fdc7f3a34413095d19f3067873266222f43943b7","sha256:6985d005140724cfba4bc1fa3c75a52102ec35e740f66183dcbd579abb41d8d0"],"state_sha256":"1a67b3c399305b77db7db6f0eb72e09fa9f9ec22d6ae88e8a7588f82843557fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GW+IehwFp2L3hKlgHDU2oX/WznCP3rI5MZ/DEE4yvCLEi0AAzoo5P7MaaFqqd3ubGL/HtlpwIek64MV13h+VAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:37:55.770953Z","bundle_sha256":"85704b1b91865b9dd2532d6fcc592bea252e675563a313f80c2c73daa3f39dfa"}}