{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OMVMIIWHWWI5SCFBG7MV2ABYPG","short_pith_number":"pith:OMVMIIWH","canonical_record":{"source":{"id":"1604.03060","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2016-04-08T11:33:21Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"40008c05db98aa3da316380dd18df3fcba41b7a97cd31f0a4e0898a2ada7fcd1","abstract_canon_sha256":"4d9fb2cb03f2e5fb766179b653e8ec31d52a3fe943b480acba1122f7c75d8cce"},"schema_version":"1.0"},"canonical_sha256":"732ac422c7b591d908a137d95d00387986c25cb29196bee5a4951584b1a9112b","source":{"kind":"arxiv","id":"1604.03060","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03060","created_at":"2026-05-18T01:14:43Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03060v1","created_at":"2026-05-18T01:14:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03060","created_at":"2026-05-18T01:14:43Z"},{"alias_kind":"pith_short_12","alias_value":"OMVMIIWHWWI5","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OMVMIIWHWWI5SCFB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OMVMIIWH","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OMVMIIWHWWI5SCFBG7MV2ABYPG","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03060","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2016-04-08T11:33:21Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"40008c05db98aa3da316380dd18df3fcba41b7a97cd31f0a4e0898a2ada7fcd1","abstract_canon_sha256":"4d9fb2cb03f2e5fb766179b653e8ec31d52a3fe943b480acba1122f7c75d8cce"},"schema_version":"1.0"},"canonical_sha256":"732ac422c7b591d908a137d95d00387986c25cb29196bee5a4951584b1a9112b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:43.554761Z","signature_b64":"pkd/50GItA32WNIOfLllWVmBq/BB3IClzv7wVxPoIi7yCD+zVymnCziO2KK9vftygulujiPaTAwxpb41gyY9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"732ac422c7b591d908a137d95d00387986c25cb29196bee5a4951584b1a9112b","last_reissued_at":"2026-05-18T01:14:43.553995Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:43.553995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03060","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":"2026-05-18T01:14:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6HB0vsy0ZtzLzApHVN8t4KaE0KRMfgGAY0Y2tUwE/M4oePuktqc69bAoxHvIYv3PqKS2bxYxnVpXcpcQDWkdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:03:33.579052Z"},"content_sha256":"70834a8915a2e8b143a22657a40247804fd63f0fd1b2d58f60dc7f8e24030938","schema_version":"1.0","event_id":"sha256:70834a8915a2e8b143a22657a40247804fd63f0fd1b2d58f60dc7f8e24030938"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OMVMIIWHWWI5SCFBG7MV2ABYPG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Old Game, New Rules: Rethinking The Form of Physics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.class-ph","authors_text":"Christian Baumgarten","submitted_at":"2016-04-08T11:33:21Z","abstract_excerpt":"We investigate the modeling capabilities of sets of coupled classical harmonic oscillators (CHO) in the form of a modeling game. The application of simple but restrictive rules of the game lead to conditions for an isomorphism between Lie-algebras and real Clifford algebras. We show that the correlations between two coupled classical oscillators find their natural description in the Dirac algebra and allow to model aspects of special relativity, inertial motion, electromagnetism and quantum phenomena including spin in one go. The algebraic properties of Hamiltonian motion of low-dimensional sy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03060","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":"2026-05-18T01:14:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nzJZr1nEF4cPcmQeiWTGWR9Wid48KBBs0Vljj4yEY71dh4ZNd2jxfli0gZzwKxpiOpxCyMP+Rss3D1msGEFXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:03:33.579421Z"},"content_sha256":"3e0b623b77869d34aa7faab515d2c3a515b1a1bf1f5b5ea360c1fa7f76c21ae9","schema_version":"1.0","event_id":"sha256:3e0b623b77869d34aa7faab515d2c3a515b1a1bf1f5b5ea360c1fa7f76c21ae9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMVMIIWHWWI5SCFBG7MV2ABYPG/bundle.json","state_url":"https://pith.science/pith/OMVMIIWHWWI5SCFBG7MV2ABYPG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMVMIIWHWWI5SCFBG7MV2ABYPG/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":"2026-06-27T08:03:33Z","links":{"resolver":"https://pith.science/pith/OMVMIIWHWWI5SCFBG7MV2ABYPG","bundle":"https://pith.science/pith/OMVMIIWHWWI5SCFBG7MV2ABYPG/bundle.json","state":"https://pith.science/pith/OMVMIIWHWWI5SCFBG7MV2ABYPG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMVMIIWHWWI5SCFBG7MV2ABYPG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OMVMIIWHWWI5SCFBG7MV2ABYPG","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":"4d9fb2cb03f2e5fb766179b653e8ec31d52a3fe943b480acba1122f7c75d8cce","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2016-04-08T11:33:21Z","title_canon_sha256":"40008c05db98aa3da316380dd18df3fcba41b7a97cd31f0a4e0898a2ada7fcd1"},"schema_version":"1.0","source":{"id":"1604.03060","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03060","created_at":"2026-05-18T01:14:43Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03060v1","created_at":"2026-05-18T01:14:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03060","created_at":"2026-05-18T01:14:43Z"},{"alias_kind":"pith_short_12","alias_value":"OMVMIIWHWWI5","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OMVMIIWHWWI5SCFB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OMVMIIWH","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:3e0b623b77869d34aa7faab515d2c3a515b1a1bf1f5b5ea360c1fa7f76c21ae9","target":"graph","created_at":"2026-05-18T01:14:43Z","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 investigate the modeling capabilities of sets of coupled classical harmonic oscillators (CHO) in the form of a modeling game. The application of simple but restrictive rules of the game lead to conditions for an isomorphism between Lie-algebras and real Clifford algebras. We show that the correlations between two coupled classical oscillators find their natural description in the Dirac algebra and allow to model aspects of special relativity, inertial motion, electromagnetism and quantum phenomena including spin in one go. The algebraic properties of Hamiltonian motion of low-dimensional sy","authors_text":"Christian Baumgarten","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2016-04-08T11:33:21Z","title":"Old Game, New Rules: Rethinking The Form of Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03060","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":"sha256:70834a8915a2e8b143a22657a40247804fd63f0fd1b2d58f60dc7f8e24030938","target":"record","created_at":"2026-05-18T01:14:43Z","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":"4d9fb2cb03f2e5fb766179b653e8ec31d52a3fe943b480acba1122f7c75d8cce","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2016-04-08T11:33:21Z","title_canon_sha256":"40008c05db98aa3da316380dd18df3fcba41b7a97cd31f0a4e0898a2ada7fcd1"},"schema_version":"1.0","source":{"id":"1604.03060","kind":"arxiv","version":1}},"canonical_sha256":"732ac422c7b591d908a137d95d00387986c25cb29196bee5a4951584b1a9112b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"732ac422c7b591d908a137d95d00387986c25cb29196bee5a4951584b1a9112b","first_computed_at":"2026-05-18T01:14:43.553995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:43.553995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pkd/50GItA32WNIOfLllWVmBq/BB3IClzv7wVxPoIi7yCD+zVymnCziO2KK9vftygulujiPaTAwxpb41gyY9BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:43.554761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03060","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70834a8915a2e8b143a22657a40247804fd63f0fd1b2d58f60dc7f8e24030938","sha256:3e0b623b77869d34aa7faab515d2c3a515b1a1bf1f5b5ea360c1fa7f76c21ae9"],"state_sha256":"8c7f15694e02e38add68ce238bed8c017dcf2f46baeb1bbf175384015d174e80"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y9785yWu9t+XfVt13lLLkZM7SEo5lOQQMgPwNIgZmeQzRJioncx+1NqHvix6MkEKmEsrdl8/n/BEQJuXX/4CBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T08:03:33.581278Z","bundle_sha256":"823001a5811c0976d31494c2959bca55602ce682af53e9a7b45a0fec891fd99a"}}