{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2AIY7JAR4U7HZQ42IKU3BS7QRY","short_pith_number":"pith:2AIY7JAR","canonical_record":{"source":{"id":"1705.06649","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-18T15:24:17Z","cross_cats_sorted":[],"title_canon_sha256":"789a9648f258074139dcd89e8375349e58ae4cacdfff4681cb2f20a4cb15c07e","abstract_canon_sha256":"f5a3ad3b598a7ea3efae18c9cbd318ab42e9d89fe451c3cefd55feb7cf1342ac"},"schema_version":"1.0"},"canonical_sha256":"d0118fa411e53e7cc39a42a9b0cbf08e08d92b1e58d77f4a7b17598ca5238ffe","source":{"kind":"arxiv","id":"1705.06649","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06649","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06649v2","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06649","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"2AIY7JAR4U7H","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2AIY7JAR4U7HZQ42","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2AIY7JAR","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2AIY7JAR4U7HZQ42IKU3BS7QRY","target":"record","payload":{"canonical_record":{"source":{"id":"1705.06649","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-18T15:24:17Z","cross_cats_sorted":[],"title_canon_sha256":"789a9648f258074139dcd89e8375349e58ae4cacdfff4681cb2f20a4cb15c07e","abstract_canon_sha256":"f5a3ad3b598a7ea3efae18c9cbd318ab42e9d89fe451c3cefd55feb7cf1342ac"},"schema_version":"1.0"},"canonical_sha256":"d0118fa411e53e7cc39a42a9b0cbf08e08d92b1e58d77f4a7b17598ca5238ffe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:57.188776Z","signature_b64":"I72BPboZ8OcM/jB2fEf+hko7O84xmemEpF7ZiZIX4aCWIbfrrcpwda6+lZDcNvZd4enHNbsRqP3KJQr/3fFCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0118fa411e53e7cc39a42a9b0cbf08e08d92b1e58d77f4a7b17598ca5238ffe","last_reissued_at":"2026-05-18T00:26:57.188268Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:57.188268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.06649","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G+vInjo+3ZhhC5w7zdbyxx0ruizn5NU2e4U7rAIAQctb96ZcgwSBj1PHPWCC/cU1jFhjxcyGYZ+GWkBwtCDhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T22:28:16.848839Z"},"content_sha256":"01ad827b2c3fbf762ce42e6b206eb768f8306828bb536f25ccd21456c6e4217a","schema_version":"1.0","event_id":"sha256:01ad827b2c3fbf762ce42e6b206eb768f8306828bb536f25ccd21456c6e4217a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2AIY7JAR4U7HZQ42IKU3BS7QRY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rigidity of the magic pentagram game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Amir Kalev, Carl A. Miller","submitted_at":"2017-05-18T15:24:17Z","abstract_excerpt":"A game is rigid if a near-optimal score guarantees, under the sole assumption of the validity of quantum mechanics, that the players are using an approximately unique quantum strategy. Rigidity has a vital role in quantum cryptography as it permits a strictly classical user to trust behavior in the quantum realm. This property can be traced back as far as 1998 (Mayers and Yao) and has been proved for multiple classes of games. In this paper we prove ridigity for the magic pentagram game, a simple binary constraint satisfaction game involving two players, five clauses and ten variables. We show"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06649","kind":"arxiv","version":2},"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":"2026-05-18T00:26:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"peyDYb0zYc5ba0i3eaINh7VXdWrmM8XO/KXuMRHHbyQCfc8CxGLY/7uXiR64SOUdMM9NrsS9BRNMoWCFLjhHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T22:28:16.849185Z"},"content_sha256":"eb2a3a44cb43d83de6959356edcf03e9275206bdce2053427ea81dd8c431f2a7","schema_version":"1.0","event_id":"sha256:eb2a3a44cb43d83de6959356edcf03e9275206bdce2053427ea81dd8c431f2a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2AIY7JAR4U7HZQ42IKU3BS7QRY/bundle.json","state_url":"https://pith.science/pith/2AIY7JAR4U7HZQ42IKU3BS7QRY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2AIY7JAR4U7HZQ42IKU3BS7QRY/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":"2026-06-19T22:28:16Z","links":{"resolver":"https://pith.science/pith/2AIY7JAR4U7HZQ42IKU3BS7QRY","bundle":"https://pith.science/pith/2AIY7JAR4U7HZQ42IKU3BS7QRY/bundle.json","state":"https://pith.science/pith/2AIY7JAR4U7HZQ42IKU3BS7QRY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2AIY7JAR4U7HZQ42IKU3BS7QRY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2AIY7JAR4U7HZQ42IKU3BS7QRY","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":"f5a3ad3b598a7ea3efae18c9cbd318ab42e9d89fe451c3cefd55feb7cf1342ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-18T15:24:17Z","title_canon_sha256":"789a9648f258074139dcd89e8375349e58ae4cacdfff4681cb2f20a4cb15c07e"},"schema_version":"1.0","source":{"id":"1705.06649","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06649","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06649v2","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06649","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"2AIY7JAR4U7H","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2AIY7JAR4U7HZQ42","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2AIY7JAR","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:eb2a3a44cb43d83de6959356edcf03e9275206bdce2053427ea81dd8c431f2a7","target":"graph","created_at":"2026-05-18T00:26:57Z","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":"A game is rigid if a near-optimal score guarantees, under the sole assumption of the validity of quantum mechanics, that the players are using an approximately unique quantum strategy. Rigidity has a vital role in quantum cryptography as it permits a strictly classical user to trust behavior in the quantum realm. This property can be traced back as far as 1998 (Mayers and Yao) and has been proved for multiple classes of games. In this paper we prove ridigity for the magic pentagram game, a simple binary constraint satisfaction game involving two players, five clauses and ten variables. We show","authors_text":"Amir Kalev, Carl A. Miller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-18T15:24:17Z","title":"Rigidity of the magic pentagram game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06649","kind":"arxiv","version":2},"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":"sha256:01ad827b2c3fbf762ce42e6b206eb768f8306828bb536f25ccd21456c6e4217a","target":"record","created_at":"2026-05-18T00:26:57Z","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":"f5a3ad3b598a7ea3efae18c9cbd318ab42e9d89fe451c3cefd55feb7cf1342ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-18T15:24:17Z","title_canon_sha256":"789a9648f258074139dcd89e8375349e58ae4cacdfff4681cb2f20a4cb15c07e"},"schema_version":"1.0","source":{"id":"1705.06649","kind":"arxiv","version":2}},"canonical_sha256":"d0118fa411e53e7cc39a42a9b0cbf08e08d92b1e58d77f4a7b17598ca5238ffe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0118fa411e53e7cc39a42a9b0cbf08e08d92b1e58d77f4a7b17598ca5238ffe","first_computed_at":"2026-05-18T00:26:57.188268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:57.188268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I72BPboZ8OcM/jB2fEf+hko7O84xmemEpF7ZiZIX4aCWIbfrrcpwda6+lZDcNvZd4enHNbsRqP3KJQr/3fFCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:57.188776Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06649","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01ad827b2c3fbf762ce42e6b206eb768f8306828bb536f25ccd21456c6e4217a","sha256:eb2a3a44cb43d83de6959356edcf03e9275206bdce2053427ea81dd8c431f2a7"],"state_sha256":"d3e3ab1c0f24da9edfb212626c67f63cac77edad71a3330a5ce5ef023e159c4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kqzbCF9p5LlDj4ZUn0fpNq3R4c3A0gnOqoFG0dW4e19K16L7mGJkOSjAqGGZZ7MOPvHNuPlts0WKEcao+ZG3AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-19T22:28:16.851141Z","bundle_sha256":"bbc49883a996ae161272f18b2bd7e6201c98d6d28bc88d9dc12453d8ae33d6cc"}}