{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:2JSH6RJTPUND6XKS3UDG6OYSDZ","short_pith_number":"pith:2JSH6RJT","canonical_record":{"source":{"id":"0904.3048","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-20T14:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"080b3efbd809d2a75539b76fb121b2d80cc85d6f2461c048ebe9f5a5280f091c","abstract_canon_sha256":"f3aa31c0da66f7160d34cfde16135597b5fe38aac68ea0dc0cf3b13a74f53011"},"schema_version":"1.0"},"canonical_sha256":"d2647f45337d1a3f5d52dd066f3b121e720ffffffcf773d189f53a64934b081e","source":{"kind":"arxiv","id":"0904.3048","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3048","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3048v2","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3048","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"pith_short_12","alias_value":"2JSH6RJTPUND","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2JSH6RJTPUND6XKS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2JSH6RJT","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:2JSH6RJTPUND6XKS3UDG6OYSDZ","target":"record","payload":{"canonical_record":{"source":{"id":"0904.3048","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-20T14:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"080b3efbd809d2a75539b76fb121b2d80cc85d6f2461c048ebe9f5a5280f091c","abstract_canon_sha256":"f3aa31c0da66f7160d34cfde16135597b5fe38aac68ea0dc0cf3b13a74f53011"},"schema_version":"1.0"},"canonical_sha256":"d2647f45337d1a3f5d52dd066f3b121e720ffffffcf773d189f53a64934b081e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:58.827602Z","signature_b64":"huwwSmh16xFmtb5Zeg/A+KnhK6LJ1Yu96J+DiRLI3ZkQx18zwSPm6jpXy0UT2jLW79F0M6IhxaHLGMU3t8qPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2647f45337d1a3f5d52dd066f3b121e720ffffffcf773d189f53a64934b081e","last_reissued_at":"2026-05-18T02:13:58.826794Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:58.826794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.3048","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":"2026-05-18T02:13:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GNoOQMx5cMhIZFzPuqGiD39OtMo7yjnTEYgjrt+ElQSy1TW48FdYcUsTdon6tbjIQgLWIWpQIMTkf799XtKrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:11:09.358925Z"},"content_sha256":"86bb5d88495ea954dcbd88cd0b4bacb0b5bc5cbca9063dff9a712a77e61ec7e0","schema_version":"1.0","event_id":"sha256:86bb5d88495ea954dcbd88cd0b4bacb0b5bc5cbca9063dff9a712a77e61ec7e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:2JSH6RJTPUND6XKS3UDG6OYSDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum particles from classical statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"C.Wetterich","submitted_at":"2009-04-20T14:47:16Z","abstract_excerpt":"Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being \"classical\" or \"quantum\" ceases to be a basic conceptual difference. The dynamics differs, however, between quantum and classical particles. We describe position, motion and correlations of a quantum particle in terms of observables in a classical statistical ensemble. On the other side, we also construct explicitly the quantum formalism with wave function and Hamiltonian for classical particles. For a suitable time evolution of the classical probabilit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3048","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":"2026-05-18T02:13:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9rMKwqrFvD389MrfknLIbea73JnrC9un+xt1JT79c34FeEAdEW+G/cFPoKYoHRxhID7nxb77wXo27Dw3RsxvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:11:09.359544Z"},"content_sha256":"91294d00c166d88ffc9f6436b4e3d0556932bb32238b55758f92935592503883","schema_version":"1.0","event_id":"sha256:91294d00c166d88ffc9f6436b4e3d0556932bb32238b55758f92935592503883"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2JSH6RJTPUND6XKS3UDG6OYSDZ/bundle.json","state_url":"https://pith.science/pith/2JSH6RJTPUND6XKS3UDG6OYSDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2JSH6RJTPUND6XKS3UDG6OYSDZ/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":"2026-05-27T10:11:09Z","links":{"resolver":"https://pith.science/pith/2JSH6RJTPUND6XKS3UDG6OYSDZ","bundle":"https://pith.science/pith/2JSH6RJTPUND6XKS3UDG6OYSDZ/bundle.json","state":"https://pith.science/pith/2JSH6RJTPUND6XKS3UDG6OYSDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2JSH6RJTPUND6XKS3UDG6OYSDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2JSH6RJTPUND6XKS3UDG6OYSDZ","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":"f3aa31c0da66f7160d34cfde16135597b5fe38aac68ea0dc0cf3b13a74f53011","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-20T14:47:16Z","title_canon_sha256":"080b3efbd809d2a75539b76fb121b2d80cc85d6f2461c048ebe9f5a5280f091c"},"schema_version":"1.0","source":{"id":"0904.3048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3048","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3048v2","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3048","created_at":"2026-05-18T02:13:58Z"},{"alias_kind":"pith_short_12","alias_value":"2JSH6RJTPUND","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2JSH6RJTPUND6XKS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2JSH6RJT","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:91294d00c166d88ffc9f6436b4e3d0556932bb32238b55758f92935592503883","target":"graph","created_at":"2026-05-18T02:13:58Z","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":"Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being \"classical\" or \"quantum\" ceases to be a basic conceptual difference. The dynamics differs, however, between quantum and classical particles. We describe position, motion and correlations of a quantum particle in terms of observables in a classical statistical ensemble. On the other side, we also construct explicitly the quantum formalism with wave function and Hamiltonian for classical particles. For a suitable time evolution of the classical probabilit","authors_text":"C.Wetterich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-20T14:47:16Z","title":"Quantum particles from classical statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3048","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":"sha256:86bb5d88495ea954dcbd88cd0b4bacb0b5bc5cbca9063dff9a712a77e61ec7e0","target":"record","created_at":"2026-05-18T02:13:58Z","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":"f3aa31c0da66f7160d34cfde16135597b5fe38aac68ea0dc0cf3b13a74f53011","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-20T14:47:16Z","title_canon_sha256":"080b3efbd809d2a75539b76fb121b2d80cc85d6f2461c048ebe9f5a5280f091c"},"schema_version":"1.0","source":{"id":"0904.3048","kind":"arxiv","version":2}},"canonical_sha256":"d2647f45337d1a3f5d52dd066f3b121e720ffffffcf773d189f53a64934b081e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2647f45337d1a3f5d52dd066f3b121e720ffffffcf773d189f53a64934b081e","first_computed_at":"2026-05-18T02:13:58.826794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:58.826794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"huwwSmh16xFmtb5Zeg/A+KnhK6LJ1Yu96J+DiRLI3ZkQx18zwSPm6jpXy0UT2jLW79F0M6IhxaHLGMU3t8qPDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:58.827602Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86bb5d88495ea954dcbd88cd0b4bacb0b5bc5cbca9063dff9a712a77e61ec7e0","sha256:91294d00c166d88ffc9f6436b4e3d0556932bb32238b55758f92935592503883"],"state_sha256":"5d2b3355faf63bf0ebc7a13a23db0b0cf315c41daed0cecb05a6f9f3422afe31"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"waB2RqQA7hp+38AVhdEec50TCf8aeP/FM58Is+gLy4SRFWw4y6QaebfpQ/SshRodyy/3gmpRSB3OY4NlR2mkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T10:11:09.362992Z","bundle_sha256":"c68e5b369375bca30ff2f2d0c2f97d9270b2564ef3d6589012234e4617cfffb7"}}