{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:MGNY2AP574ADNVSEPVGGZG2QUQ","short_pith_number":"pith:MGNY2AP5","schema_version":"1.0","canonical_sha256":"619b8d01fdff0036d6447d4c6c9b50a40e6b0b41b3b38fd07708b4e59776f16b","source":{"kind":"arxiv","id":"2006.16932","version":1},"attestation_state":"computed","paper":{"title":"Interval fragmentations with choice: equidistribution and the evolution of tagged fragments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Elliot Paquette, Pascal Maillard","submitted_at":"2020-06-30T16:02:11Z","abstract_excerpt":"We consider a Markovian evolution on point processes, the $\\Psi$--process, on the unit interval in which points are added according to a rule that depends only on the spacings of the existing point configuration. Having chosen a spacing, a new point is added uniformly within it. Building on previous work of the authors and of Junge, we show that the empirical distribution of points in such a process is always equidistributed under mild assumptions on the rule, generalizing work of Junge.\n  A major portion of this article is devoted to the study of a particular growth--fragmentation process, or"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2006.16932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-06-30T16:02:11Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"def376af7d67e897e176333c86e28ce3177e6f2b78f218aad130ea35987881af","abstract_canon_sha256":"5bab0c392f02b2646c13d73521a274e67376684fe65b8f9e6f821dbb7c7ea1e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:14:59.407883Z","signature_b64":"AEEmHV5GLMUE3za/kFoKE0XGRIUVim/qh+qTZlVvNBknvLjVKJhFaqI1loH7Ti0dBvqHAQaLsT47SgXYETGwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"619b8d01fdff0036d6447d4c6c9b50a40e6b0b41b3b38fd07708b4e59776f16b","last_reissued_at":"2026-07-05T01:14:59.407525Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:14:59.407525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interval fragmentations with choice: equidistribution and the evolution of tagged fragments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Elliot Paquette, Pascal Maillard","submitted_at":"2020-06-30T16:02:11Z","abstract_excerpt":"We consider a Markovian evolution on point processes, the $\\Psi$--process, on the unit interval in which points are added according to a rule that depends only on the spacings of the existing point configuration. Having chosen a spacing, a new point is added uniformly within it. Building on previous work of the authors and of Junge, we show that the empirical distribution of points in such a process is always equidistributed under mild assumptions on the rule, generalizing work of Junge.\n  A major portion of this article is devoted to the study of a particular growth--fragmentation process, or"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.16932","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/2006.16932/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2006.16932","created_at":"2026-07-05T01:14:59.407580+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.16932v1","created_at":"2026-07-05T01:14:59.407580+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.16932","created_at":"2026-07-05T01:14:59.407580+00:00"},{"alias_kind":"pith_short_12","alias_value":"MGNY2AP574AD","created_at":"2026-07-05T01:14:59.407580+00:00"},{"alias_kind":"pith_short_16","alias_value":"MGNY2AP574ADNVSE","created_at":"2026-07-05T01:14:59.407580+00:00"},{"alias_kind":"pith_short_8","alias_value":"MGNY2AP5","created_at":"2026-07-05T01:14:59.407580+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.01771","citing_title":"Spiking Neural Networks for Inference and Learning: A Memristor-based Design Perspective","ref_index":54,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ","json":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ.json","graph_json":"https://pith.science/api/pith-number/MGNY2AP574ADNVSEPVGGZG2QUQ/graph.json","events_json":"https://pith.science/api/pith-number/MGNY2AP574ADNVSEPVGGZG2QUQ/events.json","paper":"https://pith.science/paper/MGNY2AP5"},"agent_actions":{"view_html":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ","download_json":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ.json","view_paper":"https://pith.science/paper/MGNY2AP5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.16932&json=true","fetch_graph":"https://pith.science/api/pith-number/MGNY2AP574ADNVSEPVGGZG2QUQ/graph.json","fetch_events":"https://pith.science/api/pith-number/MGNY2AP574ADNVSEPVGGZG2QUQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ/action/storage_attestation","attest_author":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ/action/author_attestation","sign_citation":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ/action/citation_signature","submit_replication":"https://pith.science/pith/MGNY2AP574ADNVSEPVGGZG2QUQ/action/replication_record"}},"created_at":"2026-07-05T01:14:59.407580+00:00","updated_at":"2026-07-05T01:14:59.407580+00:00"}