{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FC5K74OHREIZ4RS4ER2EK274K5","short_pith_number":"pith:FC5K74OH","canonical_record":{"source":{"id":"1310.1899","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-07T19:43:49Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"279a4c0025dc2f3c252d4be9106ce88478d43e4b83b8396b14e9b7f62200d7c0","abstract_canon_sha256":"3539440000d9fb4b7a5b83e225ee336b93b0770c03d645c58b9819074f5866fc"},"schema_version":"1.0"},"canonical_sha256":"28baaff1c789119e465c2474456bfc5773da92143ac68bf143e31d5b9a13b828","source":{"kind":"arxiv","id":"1310.1899","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1899","created_at":"2026-05-18T01:47:14Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1899v2","created_at":"2026-05-18T01:47:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1899","created_at":"2026-05-18T01:47:14Z"},{"alias_kind":"pith_short_12","alias_value":"FC5K74OHREIZ","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FC5K74OHREIZ4RS4","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FC5K74OH","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FC5K74OHREIZ4RS4ER2EK274K5","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1899","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-07T19:43:49Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"279a4c0025dc2f3c252d4be9106ce88478d43e4b83b8396b14e9b7f62200d7c0","abstract_canon_sha256":"3539440000d9fb4b7a5b83e225ee336b93b0770c03d645c58b9819074f5866fc"},"schema_version":"1.0"},"canonical_sha256":"28baaff1c789119e465c2474456bfc5773da92143ac68bf143e31d5b9a13b828","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:14.294982Z","signature_b64":"caluR18GlEG7b5AXRDl2TEam8LqMgJqVkyOAjB1iPDaSUZZ1Oyl7FA9WJK+ESFGWePvEdKRbMAo8TMeRdTBKBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28baaff1c789119e465c2474456bfc5773da92143ac68bf143e31d5b9a13b828","last_reissued_at":"2026-05-18T01:47:14.294164Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:14.294164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1899","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":"2026-05-18T01:47:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ze2wJPcEFRjRmIXb4U/4IXPEw/DVlOdY7jFEM9qD7wGXx3RnK1wDPi1ZgBUG76vUpyAIO4HDvpALcR2geBW9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T07:49:26.953264Z"},"content_sha256":"e5d29fc66e4ed75c4447e9284e43d85599b2ca5b35459fc7d897755f85636509","schema_version":"1.0","event_id":"sha256:e5d29fc66e4ed75c4447e9284e43d85599b2ca5b35459fc7d897755f85636509"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FC5K74OHREIZ4RS4ER2EK274K5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long-time relaxation in pilot-wave theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"quant-ph","authors_text":"Antony Valentini, Eitan Abraham, Samuel Colin","submitted_at":"2013-10-07T19:43:49Z","abstract_excerpt":"We initiate the study of relaxation to quantum equilibrium over long timescales in pilot-wave theory. We simulate the time evolution of the coarse-grained H-function Hbar(t) for a two-dimensional harmonic oscillator. For a (periodic) wave function that is a superposition of the first 25 energy states we confirm an approximately exponential decay of Hbar over five periods. For a superposition of only the first four energy states we are able to calculate Hbar(t) over 50 periods. We find that, depending on the set of phases in the initial wave function, Hbar can decay to a large nonequilibrium re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1899","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":"2026-05-18T01:47:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJdCBcyXXLJO1kWPVuSiqTgtZhfdEMvmvJNp/jlW0U6RbmxpfKbQD6hdblze9wTvudLgXvFAKK4Ah9RNzxfDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T07:49:26.953641Z"},"content_sha256":"bc8f93f490746d062c9756a48314fbffe902e23e6b83aed26953e2a6dfb24f8d","schema_version":"1.0","event_id":"sha256:bc8f93f490746d062c9756a48314fbffe902e23e6b83aed26953e2a6dfb24f8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FC5K74OHREIZ4RS4ER2EK274K5/bundle.json","state_url":"https://pith.science/pith/FC5K74OHREIZ4RS4ER2EK274K5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FC5K74OHREIZ4RS4ER2EK274K5/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":"2026-06-22T07:49:26Z","links":{"resolver":"https://pith.science/pith/FC5K74OHREIZ4RS4ER2EK274K5","bundle":"https://pith.science/pith/FC5K74OHREIZ4RS4ER2EK274K5/bundle.json","state":"https://pith.science/pith/FC5K74OHREIZ4RS4ER2EK274K5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FC5K74OHREIZ4RS4ER2EK274K5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FC5K74OHREIZ4RS4ER2EK274K5","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":"3539440000d9fb4b7a5b83e225ee336b93b0770c03d645c58b9819074f5866fc","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-07T19:43:49Z","title_canon_sha256":"279a4c0025dc2f3c252d4be9106ce88478d43e4b83b8396b14e9b7f62200d7c0"},"schema_version":"1.0","source":{"id":"1310.1899","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1899","created_at":"2026-05-18T01:47:14Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1899v2","created_at":"2026-05-18T01:47:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1899","created_at":"2026-05-18T01:47:14Z"},{"alias_kind":"pith_short_12","alias_value":"FC5K74OHREIZ","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FC5K74OHREIZ4RS4","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FC5K74OH","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:bc8f93f490746d062c9756a48314fbffe902e23e6b83aed26953e2a6dfb24f8d","target":"graph","created_at":"2026-05-18T01:47:14Z","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 initiate the study of relaxation to quantum equilibrium over long timescales in pilot-wave theory. We simulate the time evolution of the coarse-grained H-function Hbar(t) for a two-dimensional harmonic oscillator. For a (periodic) wave function that is a superposition of the first 25 energy states we confirm an approximately exponential decay of Hbar over five periods. For a superposition of only the first four energy states we are able to calculate Hbar(t) over 50 periods. We find that, depending on the set of phases in the initial wave function, Hbar can decay to a large nonequilibrium re","authors_text":"Antony Valentini, Eitan Abraham, Samuel Colin","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-07T19:43:49Z","title":"Long-time relaxation in pilot-wave theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1899","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:e5d29fc66e4ed75c4447e9284e43d85599b2ca5b35459fc7d897755f85636509","target":"record","created_at":"2026-05-18T01:47:14Z","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":"3539440000d9fb4b7a5b83e225ee336b93b0770c03d645c58b9819074f5866fc","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-07T19:43:49Z","title_canon_sha256":"279a4c0025dc2f3c252d4be9106ce88478d43e4b83b8396b14e9b7f62200d7c0"},"schema_version":"1.0","source":{"id":"1310.1899","kind":"arxiv","version":2}},"canonical_sha256":"28baaff1c789119e465c2474456bfc5773da92143ac68bf143e31d5b9a13b828","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28baaff1c789119e465c2474456bfc5773da92143ac68bf143e31d5b9a13b828","first_computed_at":"2026-05-18T01:47:14.294164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:14.294164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"caluR18GlEG7b5AXRDl2TEam8LqMgJqVkyOAjB1iPDaSUZZ1Oyl7FA9WJK+ESFGWePvEdKRbMAo8TMeRdTBKBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:14.294982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1899","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5d29fc66e4ed75c4447e9284e43d85599b2ca5b35459fc7d897755f85636509","sha256:bc8f93f490746d062c9756a48314fbffe902e23e6b83aed26953e2a6dfb24f8d"],"state_sha256":"afb7342e5f3e29553655dd0e5c820f4e49af482d39412476e0401010c9197c3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CJ5v+3bePfaKdTeY38pu6joQ6qzwtGVoDzknw4SMUYceBRrQocF4DruWKfhvb9A4SVOGDAeds/psKzHXgNOvCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T07:49:26.955681Z","bundle_sha256":"5272ea9bc3d990938102061c87bdc25c10f036e22ac83354e941dba829cfc3df"}}