{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:5LAELDV7MXJPKL23XSC3TPYCDZ","short_pith_number":"pith:5LAELDV7","canonical_record":{"source":{"id":"1505.00058","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CC","submitted_at":"2015-04-28T18:27:10Z","cross_cats_sorted":[],"title_canon_sha256":"7ec1dee0738577205d8e743d2c3469b3d5e7e843ce0052593572bd1c766dc564","abstract_canon_sha256":"b3810a44dde1cd59c71f8d57f130670b50c14e2652da79b1de8c134307e31ee4"},"schema_version":"1.0"},"canonical_sha256":"eac0458ebf65d2f52f5bbc85b9bf021e77837833a05b59301553dcdb1068873b","source":{"kind":"arxiv","id":"1505.00058","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00058","created_at":"2026-05-18T02:17:13Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00058v1","created_at":"2026-05-18T02:17:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00058","created_at":"2026-05-18T02:17:13Z"},{"alias_kind":"pith_short_12","alias_value":"5LAELDV7MXJP","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5LAELDV7MXJPKL23","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5LAELDV7","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:5LAELDV7MXJPKL23XSC3TPYCDZ","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00058","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CC","submitted_at":"2015-04-28T18:27:10Z","cross_cats_sorted":[],"title_canon_sha256":"7ec1dee0738577205d8e743d2c3469b3d5e7e843ce0052593572bd1c766dc564","abstract_canon_sha256":"b3810a44dde1cd59c71f8d57f130670b50c14e2652da79b1de8c134307e31ee4"},"schema_version":"1.0"},"canonical_sha256":"eac0458ebf65d2f52f5bbc85b9bf021e77837833a05b59301553dcdb1068873b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:13.701851Z","signature_b64":"j6IpyafvSMjHxnEJGHWVRSK0sVZbyPKdGtNY3jEYZ4moHQYvG7HFhch5Cc4Jy8posBS55XZddMd5bHVv9ChaBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eac0458ebf65d2f52f5bbc85b9bf021e77837833a05b59301553dcdb1068873b","last_reissued_at":"2026-05-18T02:17:13.701155Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:13.701155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00058","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":"2026-05-18T02:17:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M3zhm2C9XmBKQYr9Omf3as8ymzADIaJltyKMMX/1sk9j1qkXeUYjYFb4VUDKthRKgxUNmynhoG0FkiLhCWIBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T18:40:00.507305Z"},"content_sha256":"6fe849a866192c6442dce2d82e54b3b6babf2ca456988b3e1496bfad58e5298e","schema_version":"1.0","event_id":"sha256:6fe849a866192c6442dce2d82e54b3b6babf2ca456988b3e1496bfad58e5298e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:5LAELDV7MXJPKL23XSC3TPYCDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transforming NP to P: An Approach to Solve NP Complete Problems","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"cs.CC","authors_text":"GuoZhong Li, Qin Xiong, Wenhong Tian, Xinyang Wang, Yaqiu Jiang","submitted_at":"2015-04-28T18:27:10Z","abstract_excerpt":"NP complete problem is one of the most challenging issues. The question of whether all problems in NP are also in P is generally considered one of the most important open questions in mathematics and theoretical computer science as it has far-reaching consequences to other problems in mathematics, computer science, biology, philosophy and cryptography. There are intensive research on proving `NP not equal to P' and `NP equals to P'. However, none of the `proved' results is commonly accepted by the research community up to now. In this paper, instead of proving either one, we aim to provide new"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00058","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":"2026-05-18T02:17:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lCNceoOUL9wT5bpIhpMQfWpWHBt2D/76ibEJvT8puvGANduOo81XvSEv8xXhXFS7uStutab2220flDXYVKO6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T18:40:00.507687Z"},"content_sha256":"f4a314568acdfeeec9fe2fb4a5682061c134c6805fbf43e26aa06b6a84c8a6c3","schema_version":"1.0","event_id":"sha256:f4a314568acdfeeec9fe2fb4a5682061c134c6805fbf43e26aa06b6a84c8a6c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5LAELDV7MXJPKL23XSC3TPYCDZ/bundle.json","state_url":"https://pith.science/pith/5LAELDV7MXJPKL23XSC3TPYCDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5LAELDV7MXJPKL23XSC3TPYCDZ/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":"2026-07-20T18:40:00Z","links":{"resolver":"https://pith.science/pith/5LAELDV7MXJPKL23XSC3TPYCDZ","bundle":"https://pith.science/pith/5LAELDV7MXJPKL23XSC3TPYCDZ/bundle.json","state":"https://pith.science/pith/5LAELDV7MXJPKL23XSC3TPYCDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5LAELDV7MXJPKL23XSC3TPYCDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5LAELDV7MXJPKL23XSC3TPYCDZ","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":"b3810a44dde1cd59c71f8d57f130670b50c14e2652da79b1de8c134307e31ee4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CC","submitted_at":"2015-04-28T18:27:10Z","title_canon_sha256":"7ec1dee0738577205d8e743d2c3469b3d5e7e843ce0052593572bd1c766dc564"},"schema_version":"1.0","source":{"id":"1505.00058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00058","created_at":"2026-05-18T02:17:13Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00058v1","created_at":"2026-05-18T02:17:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00058","created_at":"2026-05-18T02:17:13Z"},{"alias_kind":"pith_short_12","alias_value":"5LAELDV7MXJP","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5LAELDV7MXJPKL23","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5LAELDV7","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:f4a314568acdfeeec9fe2fb4a5682061c134c6805fbf43e26aa06b6a84c8a6c3","target":"graph","created_at":"2026-05-18T02:17:13Z","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":"NP complete problem is one of the most challenging issues. The question of whether all problems in NP are also in P is generally considered one of the most important open questions in mathematics and theoretical computer science as it has far-reaching consequences to other problems in mathematics, computer science, biology, philosophy and cryptography. There are intensive research on proving `NP not equal to P' and `NP equals to P'. However, none of the `proved' results is commonly accepted by the research community up to now. In this paper, instead of proving either one, we aim to provide new","authors_text":"GuoZhong Li, Qin Xiong, Wenhong Tian, Xinyang Wang, Yaqiu Jiang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CC","submitted_at":"2015-04-28T18:27:10Z","title":"Transforming NP to P: An Approach to Solve NP Complete Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00058","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":"sha256:6fe849a866192c6442dce2d82e54b3b6babf2ca456988b3e1496bfad58e5298e","target":"record","created_at":"2026-05-18T02:17:13Z","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":"b3810a44dde1cd59c71f8d57f130670b50c14e2652da79b1de8c134307e31ee4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CC","submitted_at":"2015-04-28T18:27:10Z","title_canon_sha256":"7ec1dee0738577205d8e743d2c3469b3d5e7e843ce0052593572bd1c766dc564"},"schema_version":"1.0","source":{"id":"1505.00058","kind":"arxiv","version":1}},"canonical_sha256":"eac0458ebf65d2f52f5bbc85b9bf021e77837833a05b59301553dcdb1068873b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eac0458ebf65d2f52f5bbc85b9bf021e77837833a05b59301553dcdb1068873b","first_computed_at":"2026-05-18T02:17:13.701155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:13.701155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j6IpyafvSMjHxnEJGHWVRSK0sVZbyPKdGtNY3jEYZ4moHQYvG7HFhch5Cc4Jy8posBS55XZddMd5bHVv9ChaBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:13.701851Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fe849a866192c6442dce2d82e54b3b6babf2ca456988b3e1496bfad58e5298e","sha256:f4a314568acdfeeec9fe2fb4a5682061c134c6805fbf43e26aa06b6a84c8a6c3"],"state_sha256":"24655a64364c87a7f45917841fc20fee8756d416ed1d4d5d943a9cb3aaaae64e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HtAtknCnm9yl6gKwlZCCJmLXpQ+/TT/9RAAS25HV7V4XTwS8NoJ1BTEL3iTr6zsjRvBAabb7IVl/nbnpmBjgBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-20T18:40:00.510240Z","bundle_sha256":"caebd52f3531aa45fa77b7b8131045540f6d1e9ca468b4d65eff3a62b7e752d5"}}