{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UGRKJVQQMMNW3XSS7EJOYJZ4UU","short_pith_number":"pith:UGRKJVQQ","canonical_record":{"source":{"id":"1606.09306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-29T22:55:35Z","cross_cats_sorted":[],"title_canon_sha256":"1aab8a4f4563f7e52a155c8a69e48a9827bfcbb3ff2efc84e5fbaeb8488f0a2b","abstract_canon_sha256":"fcdf127e166b8ff5e057827aadf8283715a34eaa57ccdb1351e978d3aef2d871"},"schema_version":"1.0"},"canonical_sha256":"a1a2a4d610631b6dde52f912ec273ca50d0d88811b80eab795b2ce32a8d2f5dd","source":{"kind":"arxiv","id":"1606.09306","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09306","created_at":"2026-05-18T00:46:51Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09306v2","created_at":"2026-05-18T00:46:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09306","created_at":"2026-05-18T00:46:51Z"},{"alias_kind":"pith_short_12","alias_value":"UGRKJVQQMMNW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UGRKJVQQMMNW3XSS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UGRKJVQQ","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UGRKJVQQMMNW3XSS7EJOYJZ4UU","target":"record","payload":{"canonical_record":{"source":{"id":"1606.09306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-29T22:55:35Z","cross_cats_sorted":[],"title_canon_sha256":"1aab8a4f4563f7e52a155c8a69e48a9827bfcbb3ff2efc84e5fbaeb8488f0a2b","abstract_canon_sha256":"fcdf127e166b8ff5e057827aadf8283715a34eaa57ccdb1351e978d3aef2d871"},"schema_version":"1.0"},"canonical_sha256":"a1a2a4d610631b6dde52f912ec273ca50d0d88811b80eab795b2ce32a8d2f5dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:51.785764Z","signature_b64":"gCZSbuiBEYxTJnYVev0wTQGaaJSNfdARLNmvwYNVT+InHN7EWGYF8Fm7sGQaztL75cdEgdEqKbt+rTdFL5xGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1a2a4d610631b6dde52f912ec273ca50d0d88811b80eab795b2ce32a8d2f5dd","last_reissued_at":"2026-05-18T00:46:51.785160Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:51.785160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.09306","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":"2026-05-18T00:46:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SmnTtZmObLhOM4dPYMzkLWIzJ7dKjWs0Z3WsVRQ18jhIOiwJmUxDN1z3yvhc+kL4uY87dko0mJFEU9LvvjhhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:23:49.736088Z"},"content_sha256":"343452c0ce85cc52b7dce20704fa7d0f894a2961ad097d393b6392e3e5e16798","schema_version":"1.0","event_id":"sha256:343452c0ce85cc52b7dce20704fa7d0f894a2961ad097d393b6392e3e5e16798"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UGRKJVQQMMNW3XSS7EJOYJZ4UU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Royal Road to Quantum Theory (or Thereabouts)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alexander Wilce","submitted_at":"2016-06-29T22:55:35Z","abstract_excerpt":"This paper fails to derive quantum mechanics from a few simple postulates. But it gets very close --- and it does so without much exertion. More exactly, I obtain a representation of finite-dimensional probabilistic systems in terms of euclidean Jordan algebras, in a strikingly easy way, from simple assumptions. This provides a framework within which real, complex and quaternionic QM can play happily together, and allows some --- but not too much --- room for more exotic alternatives. (This is a leisurely summary, based on recent lectures, of material from the papers arXiv:1206:2897 and arXiv:"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09306","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":"2026-05-18T00:46:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gBmfbgAgFkAB3wxvFNwM32qqrBPDteh2cxaI16iOCfyb62DSjf0GIVzHRF1Cr+tG/Yw4WTS7WB7vZ246/IKyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:23:49.736374Z"},"content_sha256":"19ef14f684d26caadcea456efbd05cb0b412b6fa53904d8a834da29c0bd96c92","schema_version":"1.0","event_id":"sha256:19ef14f684d26caadcea456efbd05cb0b412b6fa53904d8a834da29c0bd96c92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGRKJVQQMMNW3XSS7EJOYJZ4UU/bundle.json","state_url":"https://pith.science/pith/UGRKJVQQMMNW3XSS7EJOYJZ4UU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGRKJVQQMMNW3XSS7EJOYJZ4UU/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":"2026-08-13T23:23:49Z","links":{"resolver":"https://pith.science/pith/UGRKJVQQMMNW3XSS7EJOYJZ4UU","bundle":"https://pith.science/pith/UGRKJVQQMMNW3XSS7EJOYJZ4UU/bundle.json","state":"https://pith.science/pith/UGRKJVQQMMNW3XSS7EJOYJZ4UU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGRKJVQQMMNW3XSS7EJOYJZ4UU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UGRKJVQQMMNW3XSS7EJOYJZ4UU","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":"fcdf127e166b8ff5e057827aadf8283715a34eaa57ccdb1351e978d3aef2d871","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-29T22:55:35Z","title_canon_sha256":"1aab8a4f4563f7e52a155c8a69e48a9827bfcbb3ff2efc84e5fbaeb8488f0a2b"},"schema_version":"1.0","source":{"id":"1606.09306","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09306","created_at":"2026-05-18T00:46:51Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09306v2","created_at":"2026-05-18T00:46:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09306","created_at":"2026-05-18T00:46:51Z"},{"alias_kind":"pith_short_12","alias_value":"UGRKJVQQMMNW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UGRKJVQQMMNW3XSS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UGRKJVQQ","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:19ef14f684d26caadcea456efbd05cb0b412b6fa53904d8a834da29c0bd96c92","target":"graph","created_at":"2026-05-18T00:46:51Z","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"},"paper":{"abstract_excerpt":"This paper fails to derive quantum mechanics from a few simple postulates. But it gets very close --- and it does so without much exertion. More exactly, I obtain a representation of finite-dimensional probabilistic systems in terms of euclidean Jordan algebras, in a strikingly easy way, from simple assumptions. This provides a framework within which real, complex and quaternionic QM can play happily together, and allows some --- but not too much --- room for more exotic alternatives. (This is a leisurely summary, based on recent lectures, of material from the papers arXiv:1206:2897 and arXiv:","authors_text":"Alexander Wilce","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-29T22:55:35Z","title":"A Royal Road to Quantum Theory (or Thereabouts)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09306","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":"sha256:343452c0ce85cc52b7dce20704fa7d0f894a2961ad097d393b6392e3e5e16798","target":"record","created_at":"2026-05-18T00:46:51Z","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":"fcdf127e166b8ff5e057827aadf8283715a34eaa57ccdb1351e978d3aef2d871","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-29T22:55:35Z","title_canon_sha256":"1aab8a4f4563f7e52a155c8a69e48a9827bfcbb3ff2efc84e5fbaeb8488f0a2b"},"schema_version":"1.0","source":{"id":"1606.09306","kind":"arxiv","version":2}},"canonical_sha256":"a1a2a4d610631b6dde52f912ec273ca50d0d88811b80eab795b2ce32a8d2f5dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1a2a4d610631b6dde52f912ec273ca50d0d88811b80eab795b2ce32a8d2f5dd","first_computed_at":"2026-05-18T00:46:51.785160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:51.785160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gCZSbuiBEYxTJnYVev0wTQGaaJSNfdARLNmvwYNVT+InHN7EWGYF8Fm7sGQaztL75cdEgdEqKbt+rTdFL5xGCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:51.785764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09306","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:343452c0ce85cc52b7dce20704fa7d0f894a2961ad097d393b6392e3e5e16798","sha256:19ef14f684d26caadcea456efbd05cb0b412b6fa53904d8a834da29c0bd96c92"],"state_sha256":"98bc8c280e9c342fb53b05d1109418da741dffa4203311edf5ccd9ed43f32d8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RrI3YY+fOR+jwxP8wGXM3HLOW/jd4F+qoilYtpv6ZvhbWVBZDK7lh8QeyOZDFqN3lp3G8LjZcKPct7NVSCfDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T23:23:49.750010Z","bundle_sha256":"1926b26855b864cf7f166537a0aa23827d3c1f3323744d990420fb7729f24f57"}}