{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TGPM34V6LM37YHZKYVCEH6LT6T","short_pith_number":"pith:TGPM34V6","canonical_record":{"source":{"id":"1206.0064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-01T01:50:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"205f4213ebd17deef152cebac07de8bfe9ab5192da5bf355399e3582251ced6f","abstract_canon_sha256":"4911e71d68c5fdc439ff993a9db20eabbb4099c2f2cdedd97ed895306b3f0b87"},"schema_version":"1.0"},"canonical_sha256":"999ecdf2be5b37fc1f2ac54443f973f4f14f0c536a3c40db79bb32cba2c75073","source":{"kind":"arxiv","id":"1206.0064","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0064","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0064v3","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0064","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"TGPM34V6LM37","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TGPM34V6LM37YHZK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TGPM34V6","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TGPM34V6LM37YHZKYVCEH6LT6T","target":"record","payload":{"canonical_record":{"source":{"id":"1206.0064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-01T01:50:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"205f4213ebd17deef152cebac07de8bfe9ab5192da5bf355399e3582251ced6f","abstract_canon_sha256":"4911e71d68c5fdc439ff993a9db20eabbb4099c2f2cdedd97ed895306b3f0b87"},"schema_version":"1.0"},"canonical_sha256":"999ecdf2be5b37fc1f2ac54443f973f4f14f0c536a3c40db79bb32cba2c75073","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:35.524537Z","signature_b64":"kvioyyOiltIaPdb/r1VEDJ5GuzqelS/JAqXoR5bkfhpPNGlDSgdZOxHkRAcp59XuExbgp1wyCTN/1UnElnalDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"999ecdf2be5b37fc1f2ac54443f973f4f14f0c536a3c40db79bb32cba2c75073","last_reissued_at":"2026-05-18T03:34:35.524037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:35.524037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.0064","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":"2026-05-18T03:34:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GLTQ0lmJlwmoCmrxZbog2mNwt3FyiIVBe4L+v2p68CLVkew7N97NeATJDZulCwe0xlZXM9ra29ljVg34yurKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:54:37.600145Z"},"content_sha256":"c82d361f28de4d195ae4c3241468f3e71d2cc87b1e7202ba16ce7da8e82095d2","schema_version":"1.0","event_id":"sha256:c82d361f28de4d195ae4c3241468f3e71d2cc87b1e7202ba16ce7da8e82095d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TGPM34V6LM37YHZKYVCEH6LT6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin and Rotations in Galois Field Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Djordje Minic, Lay Nam Chang, Tatsu Takeuchi, Zachary Lewis","submitted_at":"2012-06-01T01:50:16Z","abstract_excerpt":"We discuss the properties of Galois Field Quantum Mechanics constructed on a vector space over the finite Galois field GF(q). In particular, we look at 2-level systems analogous to spin, and discuss how SO(3) rotations could be embodied in such a system. We also consider two-particle `spin' correlations and show that the Clauser-Horne-Shimony-Holt (CHSH) inequality is nonetheless not violated in this model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0064","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":"2026-05-18T03:34:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4yx+1nq2t8PW4rCGjPdrqFvuhxhqnRKFSoeM8J4umF/eTt5SOUFXL4ouQj4T3MLP145wunlKyVLMe9PFNkcDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:54:37.600509Z"},"content_sha256":"4c2127d6197a4b1b5349a395daea3c87424a743c3142ea42e7ee4d84bb597e54","schema_version":"1.0","event_id":"sha256:4c2127d6197a4b1b5349a395daea3c87424a743c3142ea42e7ee4d84bb597e54"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TGPM34V6LM37YHZKYVCEH6LT6T/bundle.json","state_url":"https://pith.science/pith/TGPM34V6LM37YHZKYVCEH6LT6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TGPM34V6LM37YHZKYVCEH6LT6T/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":"2026-06-03T09:54:37Z","links":{"resolver":"https://pith.science/pith/TGPM34V6LM37YHZKYVCEH6LT6T","bundle":"https://pith.science/pith/TGPM34V6LM37YHZKYVCEH6LT6T/bundle.json","state":"https://pith.science/pith/TGPM34V6LM37YHZKYVCEH6LT6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TGPM34V6LM37YHZKYVCEH6LT6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TGPM34V6LM37YHZKYVCEH6LT6T","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":"4911e71d68c5fdc439ff993a9db20eabbb4099c2f2cdedd97ed895306b3f0b87","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-01T01:50:16Z","title_canon_sha256":"205f4213ebd17deef152cebac07de8bfe9ab5192da5bf355399e3582251ced6f"},"schema_version":"1.0","source":{"id":"1206.0064","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0064","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0064v3","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0064","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"TGPM34V6LM37","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TGPM34V6LM37YHZK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TGPM34V6","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:4c2127d6197a4b1b5349a395daea3c87424a743c3142ea42e7ee4d84bb597e54","target":"graph","created_at":"2026-05-18T03:34:35Z","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 discuss the properties of Galois Field Quantum Mechanics constructed on a vector space over the finite Galois field GF(q). In particular, we look at 2-level systems analogous to spin, and discuss how SO(3) rotations could be embodied in such a system. We also consider two-particle `spin' correlations and show that the Clauser-Horne-Shimony-Holt (CHSH) inequality is nonetheless not violated in this model.","authors_text":"Djordje Minic, Lay Nam Chang, Tatsu Takeuchi, Zachary Lewis","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-01T01:50:16Z","title":"Spin and Rotations in Galois Field Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0064","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:c82d361f28de4d195ae4c3241468f3e71d2cc87b1e7202ba16ce7da8e82095d2","target":"record","created_at":"2026-05-18T03:34:35Z","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":"4911e71d68c5fdc439ff993a9db20eabbb4099c2f2cdedd97ed895306b3f0b87","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-01T01:50:16Z","title_canon_sha256":"205f4213ebd17deef152cebac07de8bfe9ab5192da5bf355399e3582251ced6f"},"schema_version":"1.0","source":{"id":"1206.0064","kind":"arxiv","version":3}},"canonical_sha256":"999ecdf2be5b37fc1f2ac54443f973f4f14f0c536a3c40db79bb32cba2c75073","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"999ecdf2be5b37fc1f2ac54443f973f4f14f0c536a3c40db79bb32cba2c75073","first_computed_at":"2026-05-18T03:34:35.524037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:35.524037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kvioyyOiltIaPdb/r1VEDJ5GuzqelS/JAqXoR5bkfhpPNGlDSgdZOxHkRAcp59XuExbgp1wyCTN/1UnElnalDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:35.524537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0064","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c82d361f28de4d195ae4c3241468f3e71d2cc87b1e7202ba16ce7da8e82095d2","sha256:4c2127d6197a4b1b5349a395daea3c87424a743c3142ea42e7ee4d84bb597e54"],"state_sha256":"4dc56f6169e16082c1ae88318596d85d28a91db9964af3f8141dcee55b47c549"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxYGtookRs6i9ri30C8BDVHVftE+yT69I5VbENwzU4486t7hTL1nmDQ9tDf/fZ8nLzfY203xpVvnODzwrXUJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T09:54:37.602408Z","bundle_sha256":"1c1c292e0f8af0d7240a10843efe7b85940eb48b7411d456e377fd22fd99ac07"}}