{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EONDC4SACDGFAHJT23KFNLCUJ7","short_pith_number":"pith:EONDC4SA","canonical_record":{"source":{"id":"1708.03508","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T11:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"b20f8e8a18b4541b586aa426652c173585c7d695724c390216135fe8de7064dc","abstract_canon_sha256":"5a3aa0fdc8c7ab28b4730f3d14c708810646aef036ca65776a5bcbd519e444e3"},"schema_version":"1.0"},"canonical_sha256":"239a31724010cc501d33d6d456ac544fc5e50bd871aef190f07f5f1f12553f48","source":{"kind":"arxiv","id":"1708.03508","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03508","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03508v3","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03508","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"EONDC4SACDGF","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EONDC4SACDGFAHJT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EONDC4SA","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EONDC4SACDGFAHJT23KFNLCUJ7","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03508","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T11:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"b20f8e8a18b4541b586aa426652c173585c7d695724c390216135fe8de7064dc","abstract_canon_sha256":"5a3aa0fdc8c7ab28b4730f3d14c708810646aef036ca65776a5bcbd519e444e3"},"schema_version":"1.0"},"canonical_sha256":"239a31724010cc501d33d6d456ac544fc5e50bd871aef190f07f5f1f12553f48","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:38.981497Z","signature_b64":"kEx3sIDgb8o37S7gv9mOk+RmrRPVt6oHCJW2ZeUl5i/qB2aJpadSWJlm7Ob2/gSS3VaJtsuPNbU5wg9dCIKwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"239a31724010cc501d33d6d456ac544fc5e50bd871aef190f07f5f1f12553f48","last_reissued_at":"2026-05-17T23:55:38.980925Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:38.980925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03508","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:55:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HRMKl7xqrrJOFctWfEAh+lGnnkfz+s3oAzRP9SI0eqxi3yoySHT0a1/Of8JQtB+YiKj0808d/NEauwLAV6WuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T23:41:10.889724Z"},"content_sha256":"eac9e8fcd80e46b8ee08750c3a68a7952ae9884f1042db7865d651a6bc1d43d7","schema_version":"1.0","event_id":"sha256:eac9e8fcd80e46b8ee08750c3a68a7952ae9884f1042db7865d651a6bc1d43d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EONDC4SACDGFAHJT23KFNLCUJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revisiting Integer Factorization using Closed Timelike Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arnab Adhikary, Goutam Paul, Soumik Ghosh","submitted_at":"2017-08-11T11:39:25Z","abstract_excerpt":"Closed Timelike Curves are relativistically valid objects allowing time travel to the past. Treating them as computational objects opens the door to a wide range of results which cannot be achieved using non relativistic quantum mechanics. Recently, research in classical and quantum computation has focused on effectively harnessing the power of these curves. In particular, Brun (Found. Phys. Lett., 2003) has shown that CTCs can be utilized to efficiently solve problems like factoring and QSAT (Quantified Satisfiability Problem). In this paper, we find a flaw in Brun's algorithm and propose a m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03508","kind":"arxiv","version":3},"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":"2026-05-17T23:55:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ik1Mt6Bm4caRrpsQJ8JoxJYauh9LirCE+YzeDnBVSM/GmrG5oC+LRCJlamSDK8yHZ/m5AB2R9d5XC6f8A3fkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T23:41:10.890331Z"},"content_sha256":"a2da9c340a58c5f6bcf379d3206c8332d5344ace06e3e2d9bdd634ac4d1973c5","schema_version":"1.0","event_id":"sha256:a2da9c340a58c5f6bcf379d3206c8332d5344ace06e3e2d9bdd634ac4d1973c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EONDC4SACDGFAHJT23KFNLCUJ7/bundle.json","state_url":"https://pith.science/pith/EONDC4SACDGFAHJT23KFNLCUJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EONDC4SACDGFAHJT23KFNLCUJ7/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":"2026-07-01T23:41:10Z","links":{"resolver":"https://pith.science/pith/EONDC4SACDGFAHJT23KFNLCUJ7","bundle":"https://pith.science/pith/EONDC4SACDGFAHJT23KFNLCUJ7/bundle.json","state":"https://pith.science/pith/EONDC4SACDGFAHJT23KFNLCUJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EONDC4SACDGFAHJT23KFNLCUJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EONDC4SACDGFAHJT23KFNLCUJ7","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":"5a3aa0fdc8c7ab28b4730f3d14c708810646aef036ca65776a5bcbd519e444e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T11:39:25Z","title_canon_sha256":"b20f8e8a18b4541b586aa426652c173585c7d695724c390216135fe8de7064dc"},"schema_version":"1.0","source":{"id":"1708.03508","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03508","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03508v3","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03508","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"EONDC4SACDGF","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EONDC4SACDGFAHJT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EONDC4SA","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:a2da9c340a58c5f6bcf379d3206c8332d5344ace06e3e2d9bdd634ac4d1973c5","target":"graph","created_at":"2026-05-17T23:55:38Z","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":"Closed Timelike Curves are relativistically valid objects allowing time travel to the past. Treating them as computational objects opens the door to a wide range of results which cannot be achieved using non relativistic quantum mechanics. Recently, research in classical and quantum computation has focused on effectively harnessing the power of these curves. In particular, Brun (Found. Phys. Lett., 2003) has shown that CTCs can be utilized to efficiently solve problems like factoring and QSAT (Quantified Satisfiability Problem). In this paper, we find a flaw in Brun's algorithm and propose a m","authors_text":"Arnab Adhikary, Goutam Paul, Soumik Ghosh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T11:39:25Z","title":"Revisiting Integer Factorization using Closed Timelike Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03508","kind":"arxiv","version":3},"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:eac9e8fcd80e46b8ee08750c3a68a7952ae9884f1042db7865d651a6bc1d43d7","target":"record","created_at":"2026-05-17T23:55:38Z","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":"5a3aa0fdc8c7ab28b4730f3d14c708810646aef036ca65776a5bcbd519e444e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-11T11:39:25Z","title_canon_sha256":"b20f8e8a18b4541b586aa426652c173585c7d695724c390216135fe8de7064dc"},"schema_version":"1.0","source":{"id":"1708.03508","kind":"arxiv","version":3}},"canonical_sha256":"239a31724010cc501d33d6d456ac544fc5e50bd871aef190f07f5f1f12553f48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"239a31724010cc501d33d6d456ac544fc5e50bd871aef190f07f5f1f12553f48","first_computed_at":"2026-05-17T23:55:38.980925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:38.980925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kEx3sIDgb8o37S7gv9mOk+RmrRPVt6oHCJW2ZeUl5i/qB2aJpadSWJlm7Ob2/gSS3VaJtsuPNbU5wg9dCIKwAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:38.981497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03508","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eac9e8fcd80e46b8ee08750c3a68a7952ae9884f1042db7865d651a6bc1d43d7","sha256:a2da9c340a58c5f6bcf379d3206c8332d5344ace06e3e2d9bdd634ac4d1973c5"],"state_sha256":"d141e3f8a8d32cedb4e68c208172fbd224b738518ecfa5414b5332df64622e7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YGwuHXXjZr37ZYWc8x/An0H4vrbb0tBj6dbEDodIRR7sJ7EkJeXGMkoJgb3ifMQBLN5Ee0gZrvOAe1M2umESBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T23:41:10.893235Z","bundle_sha256":"df27188e60f3e492fdb5c26611235708cd205c58f52ae8ea99b82f83787f92a4"}}