{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5QQKUVW5IKEU7EGJLQHJFQZKC5","short_pith_number":"pith:5QQKUVW5","canonical_record":{"source":{"id":"2109.09353","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-09-20T08:10:36Z","cross_cats_sorted":[],"title_canon_sha256":"502d4aeebddae12110b4426aca6dafcd10d26f42dbe0ab66e36f49a6f1874ffc","abstract_canon_sha256":"d3588d93995d34bb86701f5b2fb6354a1a244986534f55905359eb166136f7e7"},"schema_version":"1.0"},"canonical_sha256":"ec20aa56dd42894f90c95c0e92c32a174bdc72fbbae48fac66256d21147df5a9","source":{"kind":"arxiv","id":"2109.09353","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.09353","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"2109.09353v1","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.09353","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"5QQKUVW5IKEU","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"5QQKUVW5IKEU7EGJ","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"5QQKUVW5","created_at":"2026-07-05T03:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5QQKUVW5IKEU7EGJLQHJFQZKC5","target":"record","payload":{"canonical_record":{"source":{"id":"2109.09353","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-09-20T08:10:36Z","cross_cats_sorted":[],"title_canon_sha256":"502d4aeebddae12110b4426aca6dafcd10d26f42dbe0ab66e36f49a6f1874ffc","abstract_canon_sha256":"d3588d93995d34bb86701f5b2fb6354a1a244986534f55905359eb166136f7e7"},"schema_version":"1.0"},"canonical_sha256":"ec20aa56dd42894f90c95c0e92c32a174bdc72fbbae48fac66256d21147df5a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:28:25.586422Z","signature_b64":"SOgwhG5NLhZnLur6vdXaU6d/N2KRAPYwyCb1IA3sEqr0KFo7oKV0h/vYWfmr758EgCYxC/kiZM256szLBAqYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec20aa56dd42894f90c95c0e92c32a174bdc72fbbae48fac66256d21147df5a9","last_reissued_at":"2026-07-05T03:28:25.585746Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:28:25.585746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.09353","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":"2026-07-05T03:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6f9rzNzKiUicGWxosZq8heZYJw1i/DBQ8DevVXCj3rHtXjQ0OKlPdDN1nNC21wx68wZf2W3IJLwTfTfqqa1ZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:09:18.287118Z"},"content_sha256":"e89e30841461a644e544c303c2f1ab30f9274d5474dc9c2d6fa175fc9b15845d","schema_version":"1.0","event_id":"sha256:e89e30841461a644e544c303c2f1ab30f9274d5474dc9c2d6fa175fc9b15845d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5QQKUVW5IKEU7EGJLQHJFQZKC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Justifying Born's rule $P_\\alpha=|\\Psi_\\alpha|^2$ using deterministic chaos, decoherence, and the de Broglie-Bohm quantum theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aur\\'elien Drezet","submitted_at":"2021-09-20T08:10:36Z","abstract_excerpt":"In this work we derive Born's rule from the pilot-wave theory of de Broglie and Bohm. Based on a toy model involving a particle coupled to a environement made of \"qubits\" (i.e., Bohmian pointers) we show that entanglement together with deterministic chaos lead to a fast relaxation from any statistitical distribution $\\rho(x)$ (of finding a particle at point $x$) to the Born probability law $|\\Psi(x)|^2$. Our model is discussed in the context of Boltzmann's kinetic theory and we demonstrate a kind of H theorem for the relaxation to the quantum equilibrium regime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.09353","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.09353/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dwj1m6MvkkML7X+NdngkbiVFu0z71bBe2HFuFLrjeTw3GXXz9akPot0dpxMAPdHOorwmspHaWP37+pHRXZHgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:09:18.287468Z"},"content_sha256":"06c4843a15ddebccae8af998a78fc2f7cda5893fd4a5a8798f6699e92c551a10","schema_version":"1.0","event_id":"sha256:06c4843a15ddebccae8af998a78fc2f7cda5893fd4a5a8798f6699e92c551a10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5QQKUVW5IKEU7EGJLQHJFQZKC5/bundle.json","state_url":"https://pith.science/pith/5QQKUVW5IKEU7EGJLQHJFQZKC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5QQKUVW5IKEU7EGJLQHJFQZKC5/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":"2026-08-23T05:09:18Z","links":{"resolver":"https://pith.science/pith/5QQKUVW5IKEU7EGJLQHJFQZKC5","bundle":"https://pith.science/pith/5QQKUVW5IKEU7EGJLQHJFQZKC5/bundle.json","state":"https://pith.science/pith/5QQKUVW5IKEU7EGJLQHJFQZKC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5QQKUVW5IKEU7EGJLQHJFQZKC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5QQKUVW5IKEU7EGJLQHJFQZKC5","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":"d3588d93995d34bb86701f5b2fb6354a1a244986534f55905359eb166136f7e7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-09-20T08:10:36Z","title_canon_sha256":"502d4aeebddae12110b4426aca6dafcd10d26f42dbe0ab66e36f49a6f1874ffc"},"schema_version":"1.0","source":{"id":"2109.09353","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.09353","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"2109.09353v1","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.09353","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"5QQKUVW5IKEU","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"5QQKUVW5IKEU7EGJ","created_at":"2026-07-05T03:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"5QQKUVW5","created_at":"2026-07-05T03:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:06c4843a15ddebccae8af998a78fc2f7cda5893fd4a5a8798f6699e92c551a10","target":"graph","created_at":"2026-07-05T03:28:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2109.09353/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we derive Born's rule from the pilot-wave theory of de Broglie and Bohm. Based on a toy model involving a particle coupled to a environement made of \"qubits\" (i.e., Bohmian pointers) we show that entanglement together with deterministic chaos lead to a fast relaxation from any statistitical distribution $\\rho(x)$ (of finding a particle at point $x$) to the Born probability law $|\\Psi(x)|^2$. Our model is discussed in the context of Boltzmann's kinetic theory and we demonstrate a kind of H theorem for the relaxation to the quantum equilibrium regime.","authors_text":"Aur\\'elien Drezet","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-09-20T08:10:36Z","title":"Justifying Born's rule $P_\\alpha=|\\Psi_\\alpha|^2$ using deterministic chaos, decoherence, and the de Broglie-Bohm quantum theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.09353","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:e89e30841461a644e544c303c2f1ab30f9274d5474dc9c2d6fa175fc9b15845d","target":"record","created_at":"2026-07-05T03:28:25Z","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":"d3588d93995d34bb86701f5b2fb6354a1a244986534f55905359eb166136f7e7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-09-20T08:10:36Z","title_canon_sha256":"502d4aeebddae12110b4426aca6dafcd10d26f42dbe0ab66e36f49a6f1874ffc"},"schema_version":"1.0","source":{"id":"2109.09353","kind":"arxiv","version":1}},"canonical_sha256":"ec20aa56dd42894f90c95c0e92c32a174bdc72fbbae48fac66256d21147df5a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec20aa56dd42894f90c95c0e92c32a174bdc72fbbae48fac66256d21147df5a9","first_computed_at":"2026-07-05T03:28:25.585746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:28:25.585746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SOgwhG5NLhZnLur6vdXaU6d/N2KRAPYwyCb1IA3sEqr0KFo7oKV0h/vYWfmr758EgCYxC/kiZM256szLBAqYCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:28:25.586422Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.09353","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e89e30841461a644e544c303c2f1ab30f9274d5474dc9c2d6fa175fc9b15845d","sha256:06c4843a15ddebccae8af998a78fc2f7cda5893fd4a5a8798f6699e92c551a10"],"state_sha256":"dad694d372fdf97b9fb6fab3dbcd4fb18056729dd423ef7d0a09dad4a56bddee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d/RmhTWf9OVYC1PKEdGTLzqOsusuT234bScDc/jrjoUUt5dcwDvh0QMddGCXsPgyw4ODDsv5xPen0FAZnNCGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T05:09:18.290976Z","bundle_sha256":"8f9c7248e0b55c8775506a48c8f80f80f76f2c400375756bbfed7ec360126a10"}}