{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:MHQU7RBEM3TOZNHLA2R4SZFZRR","short_pith_number":"pith:MHQU7RBE","canonical_record":{"source":{"id":"2506.03771","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-04T09:33:10Z","cross_cats_sorted":["cs.ET","cs.LO"],"title_canon_sha256":"36ea0f4ac0ef6a9fd95a4bbcfa1b911db0ff5892def7c37e59944238d924e99e","abstract_canon_sha256":"84ff8169ae1d70ef19a8061de7ef4f33961f781bbbb9891ace887b70ac59d12d"},"schema_version":"1.0"},"canonical_sha256":"61e14fc42466e6ecb4eb06a3c964b98c6389238a019bd165709aae83df124816","source":{"kind":"arxiv","id":"2506.03771","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.03771","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"arxiv_version","alias_value":"2506.03771v1","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03771","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"pith_short_12","alias_value":"MHQU7RBEM3TO","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"pith_short_16","alias_value":"MHQU7RBEM3TOZNHL","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"pith_short_8","alias_value":"MHQU7RBE","created_at":"2026-07-05T11:15:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:MHQU7RBEM3TOZNHLA2R4SZFZRR","target":"record","payload":{"canonical_record":{"source":{"id":"2506.03771","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-04T09:33:10Z","cross_cats_sorted":["cs.ET","cs.LO"],"title_canon_sha256":"36ea0f4ac0ef6a9fd95a4bbcfa1b911db0ff5892def7c37e59944238d924e99e","abstract_canon_sha256":"84ff8169ae1d70ef19a8061de7ef4f33961f781bbbb9891ace887b70ac59d12d"},"schema_version":"1.0"},"canonical_sha256":"61e14fc42466e6ecb4eb06a3c964b98c6389238a019bd165709aae83df124816","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:15:51.713919Z","signature_b64":"YXwDwuqjlA5ZLxMLd/56YIxcJGGY11FZh2ACkndPU/xby3NJ1/lAeQbqDqcfCwn8Sk49XgH/TUDSuk/gpoO2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61e14fc42466e6ecb4eb06a3c964b98c6389238a019bd165709aae83df124816","last_reissued_at":"2026-07-05T11:15:51.713362Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:15:51.713362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.03771","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":"2026-07-05T11:15:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xM4zEGuAy5Pbsn+FZzvnYOUQDSDNHVhdCgdtRs20t5BO8h08jUIWvCD8wSRYWPDLtt2BXLLxTmlElXPrN/aEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:20:35.245574Z"},"content_sha256":"4ec77421f463f48e7ea8de7cf0218efdf0c1f4afc954b488bb787dfeaef0c38b","schema_version":"1.0","event_id":"sha256:4ec77421f463f48e7ea8de7cf0218efdf0c1f4afc954b488bb787dfeaef0c38b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:MHQU7RBEM3TOZNHLA2R4SZFZRR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toward Entailment Checking: Explore Eigenmarking Search","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.ET","cs.LO"],"primary_cat":"quant-ph","authors_text":"Tatpong Katanyukul","submitted_at":"2025-06-04T09:33:10Z","abstract_excerpt":"Logic entailment is essential to reasoning,\n  but entailment checking has the worst-case complexity of an exponential of the variable size.\n  With recent development, quantum computing when mature\n  may allow an effective approach for various combinatorial problems,\n  including entailment checking.\n  Grover algorithm uses Grover operations, selective phase inversion and amplitude amplification\n  to address a search over unstructured data with quadratic improvement from a classical method.\n  Its original form is intended to a single-winner scenario: exactly one match is promised.\n  Its extensio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03771","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.03771/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:15:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BsrhgMfE+qUf35dDtZng1tL7Pa4KPNCX3vd1Ftq9Dl15sDypOQvoOYgvZih4qZo5b1nY8Mk/0deWFrHMQldXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:20:35.246087Z"},"content_sha256":"00578d26f9c83dcdb46d0bcec093de413f652fe7a344c670e985a1a8127a680a","schema_version":"1.0","event_id":"sha256:00578d26f9c83dcdb46d0bcec093de413f652fe7a344c670e985a1a8127a680a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MHQU7RBEM3TOZNHLA2R4SZFZRR/bundle.json","state_url":"https://pith.science/pith/MHQU7RBEM3TOZNHLA2R4SZFZRR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MHQU7RBEM3TOZNHLA2R4SZFZRR/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":"2026-08-08T09:20:35Z","links":{"resolver":"https://pith.science/pith/MHQU7RBEM3TOZNHLA2R4SZFZRR","bundle":"https://pith.science/pith/MHQU7RBEM3TOZNHLA2R4SZFZRR/bundle.json","state":"https://pith.science/pith/MHQU7RBEM3TOZNHLA2R4SZFZRR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MHQU7RBEM3TOZNHLA2R4SZFZRR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MHQU7RBEM3TOZNHLA2R4SZFZRR","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":"84ff8169ae1d70ef19a8061de7ef4f33961f781bbbb9891ace887b70ac59d12d","cross_cats_sorted":["cs.ET","cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-04T09:33:10Z","title_canon_sha256":"36ea0f4ac0ef6a9fd95a4bbcfa1b911db0ff5892def7c37e59944238d924e99e"},"schema_version":"1.0","source":{"id":"2506.03771","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.03771","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"arxiv_version","alias_value":"2506.03771v1","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03771","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"pith_short_12","alias_value":"MHQU7RBEM3TO","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"pith_short_16","alias_value":"MHQU7RBEM3TOZNHL","created_at":"2026-07-05T11:15:51Z"},{"alias_kind":"pith_short_8","alias_value":"MHQU7RBE","created_at":"2026-07-05T11:15:51Z"}],"graph_snapshots":[{"event_id":"sha256:00578d26f9c83dcdb46d0bcec093de413f652fe7a344c670e985a1a8127a680a","target":"graph","created_at":"2026-07-05T11:15:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.03771/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Logic entailment is essential to reasoning,\n  but entailment checking has the worst-case complexity of an exponential of the variable size.\n  With recent development, quantum computing when mature\n  may allow an effective approach for various combinatorial problems,\n  including entailment checking.\n  Grover algorithm uses Grover operations, selective phase inversion and amplitude amplification\n  to address a search over unstructured data with quadratic improvement from a classical method.\n  Its original form is intended to a single-winner scenario: exactly one match is promised.\n  Its extensio","authors_text":"Tatpong Katanyukul","cross_cats":["cs.ET","cs.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-04T09:33:10Z","title":"Toward Entailment Checking: Explore Eigenmarking Search"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03771","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":"sha256:4ec77421f463f48e7ea8de7cf0218efdf0c1f4afc954b488bb787dfeaef0c38b","target":"record","created_at":"2026-07-05T11:15:51Z","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":"84ff8169ae1d70ef19a8061de7ef4f33961f781bbbb9891ace887b70ac59d12d","cross_cats_sorted":["cs.ET","cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-04T09:33:10Z","title_canon_sha256":"36ea0f4ac0ef6a9fd95a4bbcfa1b911db0ff5892def7c37e59944238d924e99e"},"schema_version":"1.0","source":{"id":"2506.03771","kind":"arxiv","version":1}},"canonical_sha256":"61e14fc42466e6ecb4eb06a3c964b98c6389238a019bd165709aae83df124816","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61e14fc42466e6ecb4eb06a3c964b98c6389238a019bd165709aae83df124816","first_computed_at":"2026-07-05T11:15:51.713362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:51.713362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YXwDwuqjlA5ZLxMLd/56YIxcJGGY11FZh2ACkndPU/xby3NJ1/lAeQbqDqcfCwn8Sk49XgH/TUDSuk/gpoO2Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:51.713919Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.03771","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ec77421f463f48e7ea8de7cf0218efdf0c1f4afc954b488bb787dfeaef0c38b","sha256:00578d26f9c83dcdb46d0bcec093de413f652fe7a344c670e985a1a8127a680a"],"state_sha256":"4a2f3f46a07221a79e9645574184a48240f3cb8f33501b04bd3317638a4ec18b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JPkANzZetwN/mij2sEFupKNIoTPti+FbBhej3GrHmR1lllDpHEdKaxPHYvTPPejudwZNWaAdSEJD1H7ixqheCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:20:35.250431Z","bundle_sha256":"9c18593852c0c16bcce9034ddb9d766590c86bc30ea717fb5decbd78036cbdc8"}}