{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:UTHM6AJORVAF6XA65OL67HFWO7","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":"5897e291f1fe4767799b80b55eaf5cec786ed4f0e3480c736717777ca93c7fdf","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"nlin.CD","submitted_at":"2003-07-21T21:55:34Z","title_canon_sha256":"aa4c6190c0ec0186d27a46007c03464b03fef9fa3b2c4dead1771e2a0862df34"},"schema_version":"1.0","source":{"id":"nlin/0307036","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0307036","created_at":"2026-07-04T14:41:48Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0307036v1","created_at":"2026-07-04T14:41:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0307036","created_at":"2026-07-04T14:41:48Z"},{"alias_kind":"pith_short_12","alias_value":"UTHM6AJORVAF","created_at":"2026-07-04T14:41:48Z"},{"alias_kind":"pith_short_16","alias_value":"UTHM6AJORVAF6XA6","created_at":"2026-07-04T14:41:48Z"},{"alias_kind":"pith_short_8","alias_value":"UTHM6AJO","created_at":"2026-07-04T14:41:48Z"}],"graph_snapshots":[{"event_id":"sha256:32b13eb77173923c6f661f9bd6c4e03fc8074b83800ffc408ee6cfbea425972d","target":"graph","created_at":"2026-07-04T14:41:48Z","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/nlin/0307036/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a simple dynamical systems model for the effect of invisible space dimensions on the visible ones. There are three premises. A: Orbits consist of flows of probabilities [P].which is the case in the setting of quantum mechanics. B: The orbits of probabilities are induced by (continuous time) differential or partial differential equations. C: Observable orbit are flow of marginal probabilities where the invisible space variables are averaged out. A theorem is presented which proves that under certain general conditions the transfer of marginal probabilities cannot be achieved by conti","authors_text":"A. Boyarsky, P. Gora","cross_cats":["nlin.SI"],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2003-07-21T21:55:34Z","title":"Microscopic Space Dimensions and the Discreteness of Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0307036","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":"sha256:48dd6c59219d7fe1cc3c384cee2cb40b55a7f97312556711bfc173ad00a02185","target":"record","created_at":"2026-07-04T14:41:48Z","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":"5897e291f1fe4767799b80b55eaf5cec786ed4f0e3480c736717777ca93c7fdf","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"nlin.CD","submitted_at":"2003-07-21T21:55:34Z","title_canon_sha256":"aa4c6190c0ec0186d27a46007c03464b03fef9fa3b2c4dead1771e2a0862df34"},"schema_version":"1.0","source":{"id":"nlin/0307036","kind":"arxiv","version":1}},"canonical_sha256":"a4cecf012e8d405f5c1eeb97ef9cb677f06eda69ff0b6a9f4b78160c6c25010a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4cecf012e8d405f5c1eeb97ef9cb677f06eda69ff0b6a9f4b78160c6c25010a","first_computed_at":"2026-07-04T14:41:48.177182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:41:48.177182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FVP0OMidBfD9JvcAry1WrS9uID0UnOfIIj9PPl64Y0jFliJ1Pz+rMpWCgGU2bki3h3/glTZSx3OSPJeg2XHaAw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:41:48.177542Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0307036","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48dd6c59219d7fe1cc3c384cee2cb40b55a7f97312556711bfc173ad00a02185","sha256:32b13eb77173923c6f661f9bd6c4e03fc8074b83800ffc408ee6cfbea425972d"],"state_sha256":"479de6bb455894cf5e32b87ff3cf428bbc2ce1e42435be3538c4449492667185"}