{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YJH2QUUHYIP5N3ZQDVSVDFEGQK","short_pith_number":"pith:YJH2QUUH","canonical_record":{"source":{"id":"1410.2779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-10T13:38:08Z","cross_cats_sorted":[],"title_canon_sha256":"1158d5665a5f397c5f1b439a4fde8e4e3938ac20d87a3ec28474a3c4e6dbf8c0","abstract_canon_sha256":"120a0b6afe3d93d4212bf7de5afeaf3d68d8e2d91f96d3290e025764ccd731c6"},"schema_version":"1.0"},"canonical_sha256":"c24fa85287c21fd6ef301d6551948682817fce2b6b8f78a7b3b1749bfa12a307","source":{"kind":"arxiv","id":"1410.2779","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2779","created_at":"2026-05-18T02:40:37Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2779v1","created_at":"2026-05-18T02:40:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2779","created_at":"2026-05-18T02:40:37Z"},{"alias_kind":"pith_short_12","alias_value":"YJH2QUUHYIP5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YJH2QUUHYIP5N3ZQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YJH2QUUH","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YJH2QUUHYIP5N3ZQDVSVDFEGQK","target":"record","payload":{"canonical_record":{"source":{"id":"1410.2779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-10T13:38:08Z","cross_cats_sorted":[],"title_canon_sha256":"1158d5665a5f397c5f1b439a4fde8e4e3938ac20d87a3ec28474a3c4e6dbf8c0","abstract_canon_sha256":"120a0b6afe3d93d4212bf7de5afeaf3d68d8e2d91f96d3290e025764ccd731c6"},"schema_version":"1.0"},"canonical_sha256":"c24fa85287c21fd6ef301d6551948682817fce2b6b8f78a7b3b1749bfa12a307","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:37.200840Z","signature_b64":"Lw296w7n5YsZOjT0cqLkoWNcv4ZsI2/pubXuBcvDOgd6VmRIF31tg9KprNCwRzSLF4++XpIf5JIQZaSRHj6SCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c24fa85287c21fd6ef301d6551948682817fce2b6b8f78a7b3b1749bfa12a307","last_reissued_at":"2026-05-18T02:40:37.200227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:37.200227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.2779","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":"2026-05-18T02:40:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dYzkTqvKRX/lsu/S5xsoKnc95UQW/MFjf9dvZeBIayeWR3+P7sgnxR6DCVHzgiZhgjuPV8QtC6CfRHJipHM/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:05:01.618932Z"},"content_sha256":"523d714acdf982ee987358d6bb460329d78194d4d4217e829a6b2b29dd66919b","schema_version":"1.0","event_id":"sha256:523d714acdf982ee987358d6bb460329d78194d4d4217e829a6b2b29dd66919b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YJH2QUUHYIP5N3ZQDVSVDFEGQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantization of the Location Stage of Hotelling Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"An Min Wang, Gan Qin, Yuannan Chen","submitted_at":"2014-10-10T13:38:08Z","abstract_excerpt":"We present the classical Hotelling model we want to quantize, and investigate the quantum consequences of the game. Our results demonstrate that the quantum game give higher profit for both players, and that with the quantum entanglement parameter increasing, the quantum benefit over the classical increases too. Then we extend the model to a more general form, and quantum advantage keeps unchanged."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2779","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":"2026-05-18T02:40:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"46U1+b+v5hnQhUXTcAdafQSicChPEQoB+Ym1bUqu0hLvEZD6tuarTPOqeUKCvKsCYajAAg4EWpUwH2V350YaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:05:01.619277Z"},"content_sha256":"b01048a71dd3a0cc9ec7bccb36f707253078253a76c69a60cbdcca4cc3257a50","schema_version":"1.0","event_id":"sha256:b01048a71dd3a0cc9ec7bccb36f707253078253a76c69a60cbdcca4cc3257a50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YJH2QUUHYIP5N3ZQDVSVDFEGQK/bundle.json","state_url":"https://pith.science/pith/YJH2QUUHYIP5N3ZQDVSVDFEGQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YJH2QUUHYIP5N3ZQDVSVDFEGQK/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":"2026-06-23T03:05:01Z","links":{"resolver":"https://pith.science/pith/YJH2QUUHYIP5N3ZQDVSVDFEGQK","bundle":"https://pith.science/pith/YJH2QUUHYIP5N3ZQDVSVDFEGQK/bundle.json","state":"https://pith.science/pith/YJH2QUUHYIP5N3ZQDVSVDFEGQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YJH2QUUHYIP5N3ZQDVSVDFEGQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YJH2QUUHYIP5N3ZQDVSVDFEGQK","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":"120a0b6afe3d93d4212bf7de5afeaf3d68d8e2d91f96d3290e025764ccd731c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-10T13:38:08Z","title_canon_sha256":"1158d5665a5f397c5f1b439a4fde8e4e3938ac20d87a3ec28474a3c4e6dbf8c0"},"schema_version":"1.0","source":{"id":"1410.2779","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2779","created_at":"2026-05-18T02:40:37Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2779v1","created_at":"2026-05-18T02:40:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2779","created_at":"2026-05-18T02:40:37Z"},{"alias_kind":"pith_short_12","alias_value":"YJH2QUUHYIP5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YJH2QUUHYIP5N3ZQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YJH2QUUH","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:b01048a71dd3a0cc9ec7bccb36f707253078253a76c69a60cbdcca4cc3257a50","target":"graph","created_at":"2026-05-18T02:40:37Z","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":"We present the classical Hotelling model we want to quantize, and investigate the quantum consequences of the game. Our results demonstrate that the quantum game give higher profit for both players, and that with the quantum entanglement parameter increasing, the quantum benefit over the classical increases too. Then we extend the model to a more general form, and quantum advantage keeps unchanged.","authors_text":"An Min Wang, Gan Qin, Yuannan Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-10T13:38:08Z","title":"Quantization of the Location Stage of Hotelling Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2779","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":"sha256:523d714acdf982ee987358d6bb460329d78194d4d4217e829a6b2b29dd66919b","target":"record","created_at":"2026-05-18T02:40:37Z","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":"120a0b6afe3d93d4212bf7de5afeaf3d68d8e2d91f96d3290e025764ccd731c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-10T13:38:08Z","title_canon_sha256":"1158d5665a5f397c5f1b439a4fde8e4e3938ac20d87a3ec28474a3c4e6dbf8c0"},"schema_version":"1.0","source":{"id":"1410.2779","kind":"arxiv","version":1}},"canonical_sha256":"c24fa85287c21fd6ef301d6551948682817fce2b6b8f78a7b3b1749bfa12a307","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c24fa85287c21fd6ef301d6551948682817fce2b6b8f78a7b3b1749bfa12a307","first_computed_at":"2026-05-18T02:40:37.200227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:37.200227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lw296w7n5YsZOjT0cqLkoWNcv4ZsI2/pubXuBcvDOgd6VmRIF31tg9KprNCwRzSLF4++XpIf5JIQZaSRHj6SCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:37.200840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2779","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:523d714acdf982ee987358d6bb460329d78194d4d4217e829a6b2b29dd66919b","sha256:b01048a71dd3a0cc9ec7bccb36f707253078253a76c69a60cbdcca4cc3257a50"],"state_sha256":"e009c9a7b6d85f82bbeb78e3f5e80d8f156bd35e65456585349d4e8a8c5cbac6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"svYm6pjVB+Y/FdV1bFayAATDRyonHVBUxxuWmGVhh3jm/QPw4QiU2KuF4TcV0frYRXJzbqfl7RZfRoDEOAfjBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T03:05:01.621253Z","bundle_sha256":"19d9273e0fd9f9aaddb1c5af75091f86d33593ea7a384dbf68d476ded7111608"}}