{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EP5TI4DNW3VQBN3KBDYCVMKZ3E","short_pith_number":"pith:EP5TI4DN","canonical_record":{"source":{"id":"1604.06483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-21T20:37:53Z","cross_cats_sorted":[],"title_canon_sha256":"270b04eae73e01087a375a88c7f34ed8e000a1a0ed69d155eec499c4634196d4","abstract_canon_sha256":"481bede8f4e0f40067ce7b8345dab2d1e35f933e96321c596180583844a0cb31"},"schema_version":"1.0"},"canonical_sha256":"23fb34706db6eb00b76a08f02ab159d9350a6b40bdf673c1d2a4204e7c1b8fc5","source":{"kind":"arxiv","id":"1604.06483","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06483","created_at":"2026-05-18T01:16:28Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06483v1","created_at":"2026-05-18T01:16:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06483","created_at":"2026-05-18T01:16:28Z"},{"alias_kind":"pith_short_12","alias_value":"EP5TI4DNW3VQ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EP5TI4DNW3VQBN3K","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EP5TI4DN","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EP5TI4DNW3VQBN3KBDYCVMKZ3E","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-21T20:37:53Z","cross_cats_sorted":[],"title_canon_sha256":"270b04eae73e01087a375a88c7f34ed8e000a1a0ed69d155eec499c4634196d4","abstract_canon_sha256":"481bede8f4e0f40067ce7b8345dab2d1e35f933e96321c596180583844a0cb31"},"schema_version":"1.0"},"canonical_sha256":"23fb34706db6eb00b76a08f02ab159d9350a6b40bdf673c1d2a4204e7c1b8fc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:28.960176Z","signature_b64":"tGgqMYx2x6me///3IQKbJIhJ+EJMwKNUNKAmwwUQCRpWh6y8yKjs1wDMfUzebgbI+93lSefwM0kTGJRWPrNmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23fb34706db6eb00b76a08f02ab159d9350a6b40bdf673c1d2a4204e7c1b8fc5","last_reissued_at":"2026-05-18T01:16:28.959638Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:28.959638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06483","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":"2026-05-18T01:16:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rPhmbyoXuy+0QG8kAlhnjpI1d2Ify93vy65NkXWwHPk97ZQ8dI3fZvRjZaGzjx6TrTV2nX/qPWgTrT6sup3kBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:50:00.877374Z"},"content_sha256":"7d1a5adb75090872cb69b1aa4f9e59838528c5459df175ae4088536cd3e3d21d","schema_version":"1.0","event_id":"sha256:7d1a5adb75090872cb69b1aa4f9e59838528c5459df175ae4088536cd3e3d21d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EP5TI4DNW3VQBN3KBDYCVMKZ3E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Stronger Calculi for QBFs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Uwe Egly","submitted_at":"2016-04-21T20:37:53Z","abstract_excerpt":"Quantified Boolean formulas (QBFs) generalize propositional formulas by admitting quantifications over propositional variables. QBFs can be viewed as (restricted) formulas of first-order predicate logic and easy translations of QBFs into first-order formulas exist. We analyze different translations and show that first-order resolution combined with such translations can polynomially simulate well-known deduction concepts for QBFs. Furthermore, we extend QBF calculi by the possibility to instantiate a universal variable by an existential variable of smaller level. Combining such an enhanced cal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06483","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":"2026-05-18T01:16:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9mVB8TxNDR34v1+//vDdnciQFZtQeS082nXA0jm/ee3AuGfWN9cHY/jUzuFai1ruVmatHMbmfszX3bqzd1bUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:50:00.878051Z"},"content_sha256":"d8c93ff83e494b38749155dcf51b181ef9473d87ecf2bb6843743561ae30c2f4","schema_version":"1.0","event_id":"sha256:d8c93ff83e494b38749155dcf51b181ef9473d87ecf2bb6843743561ae30c2f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EP5TI4DNW3VQBN3KBDYCVMKZ3E/bundle.json","state_url":"https://pith.science/pith/EP5TI4DNW3VQBN3KBDYCVMKZ3E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EP5TI4DNW3VQBN3KBDYCVMKZ3E/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":"2026-05-28T21:50:00Z","links":{"resolver":"https://pith.science/pith/EP5TI4DNW3VQBN3KBDYCVMKZ3E","bundle":"https://pith.science/pith/EP5TI4DNW3VQBN3KBDYCVMKZ3E/bundle.json","state":"https://pith.science/pith/EP5TI4DNW3VQBN3KBDYCVMKZ3E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EP5TI4DNW3VQBN3KBDYCVMKZ3E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EP5TI4DNW3VQBN3KBDYCVMKZ3E","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":"481bede8f4e0f40067ce7b8345dab2d1e35f933e96321c596180583844a0cb31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-21T20:37:53Z","title_canon_sha256":"270b04eae73e01087a375a88c7f34ed8e000a1a0ed69d155eec499c4634196d4"},"schema_version":"1.0","source":{"id":"1604.06483","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06483","created_at":"2026-05-18T01:16:28Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06483v1","created_at":"2026-05-18T01:16:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06483","created_at":"2026-05-18T01:16:28Z"},{"alias_kind":"pith_short_12","alias_value":"EP5TI4DNW3VQ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EP5TI4DNW3VQBN3K","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EP5TI4DN","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:d8c93ff83e494b38749155dcf51b181ef9473d87ecf2bb6843743561ae30c2f4","target":"graph","created_at":"2026-05-18T01:16:28Z","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":"Quantified Boolean formulas (QBFs) generalize propositional formulas by admitting quantifications over propositional variables. QBFs can be viewed as (restricted) formulas of first-order predicate logic and easy translations of QBFs into first-order formulas exist. We analyze different translations and show that first-order resolution combined with such translations can polynomially simulate well-known deduction concepts for QBFs. Furthermore, we extend QBF calculi by the possibility to instantiate a universal variable by an existential variable of smaller level. Combining such an enhanced cal","authors_text":"Uwe Egly","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-21T20:37:53Z","title":"On Stronger Calculi for QBFs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06483","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":"sha256:7d1a5adb75090872cb69b1aa4f9e59838528c5459df175ae4088536cd3e3d21d","target":"record","created_at":"2026-05-18T01:16:28Z","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":"481bede8f4e0f40067ce7b8345dab2d1e35f933e96321c596180583844a0cb31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-21T20:37:53Z","title_canon_sha256":"270b04eae73e01087a375a88c7f34ed8e000a1a0ed69d155eec499c4634196d4"},"schema_version":"1.0","source":{"id":"1604.06483","kind":"arxiv","version":1}},"canonical_sha256":"23fb34706db6eb00b76a08f02ab159d9350a6b40bdf673c1d2a4204e7c1b8fc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23fb34706db6eb00b76a08f02ab159d9350a6b40bdf673c1d2a4204e7c1b8fc5","first_computed_at":"2026-05-18T01:16:28.959638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:28.959638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tGgqMYx2x6me///3IQKbJIhJ+EJMwKNUNKAmwwUQCRpWh6y8yKjs1wDMfUzebgbI+93lSefwM0kTGJRWPrNmBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:28.960176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06483","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d1a5adb75090872cb69b1aa4f9e59838528c5459df175ae4088536cd3e3d21d","sha256:d8c93ff83e494b38749155dcf51b181ef9473d87ecf2bb6843743561ae30c2f4"],"state_sha256":"8168904713d2c3ba6a3b51a499a11dea7ab194bbbfa09a29d7db4381b4c4fbdb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jC6WN2bp3zjR5t35hYh5w6uQlHmkFedq4L3NY6QhZwED8GJfA/v89XiaWOa7L3KCEdonZg7JrIXqUtikkZ6LAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:50:00.881701Z","bundle_sha256":"2d8b7d0eda7ad1a61bf90d83c42aa7b75b1b7d759145c53d8a0caee57b2ffa4b"}}