{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:FAPKANPY5LWFFJQAQOB25MYAYY","short_pith_number":"pith:FAPKANPY","schema_version":"1.0","canonical_sha256":"281ea035f8eaec52a6008383aeb300c61b2923a9bf81cdfd12064758c05eee24","source":{"kind":"arxiv","id":"hep-th/0305121","version":2},"attestation_state":"computed","paper":{"title":"Events in a Non-Commutative Space-Time","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Toller","submitted_at":"2003-05-14T15:23:22Z","abstract_excerpt":"We treat the events determined by a quantum physical state in a noncommutative space-time, generalizing the analogous treatment in the usual Minkowski space-time based on positive-operator-valued measures (POVMs). We consider in detail the model proposed by Snyder in 1947 and calculate the POVMs defined on the real line that describe the measurement of a single coordinate. The approximate joint measurement of all the four space-time coordinates is described in terms of a generalized Wigner function (GWF). We derive lower bounds for the dispersion of the coordinate observables and discuss the c"},"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":"hep-th/0305121","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-05-14T15:23:22Z","cross_cats_sorted":[],"title_canon_sha256":"4c46a82c046ba19d89397c4f002def4a57f5a6db9eec20209862bb0440702565","abstract_canon_sha256":"d63b342152ce2d829bf7257d89d7084aa1ae8cb650c952a1bc2ca97e071c344f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:29:39.120632Z","signature_b64":"2As5t3+YlCYDPfaZ/4JwBDUkdvTv/NuuxZZI4xzwHbylHXrQdCShX6XWjhl2q9XtqdZ6sZlTGJ5khHnBwYDfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"281ea035f8eaec52a6008383aeb300c61b2923a9bf81cdfd12064758c05eee24","last_reissued_at":"2026-07-04T15:29:39.120222Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:29:39.120222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Events in a Non-Commutative Space-Time","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Toller","submitted_at":"2003-05-14T15:23:22Z","abstract_excerpt":"We treat the events determined by a quantum physical state in a noncommutative space-time, generalizing the analogous treatment in the usual Minkowski space-time based on positive-operator-valued measures (POVMs). We consider in detail the model proposed by Snyder in 1947 and calculate the POVMs defined on the real line that describe the measurement of a single coordinate. The approximate joint measurement of all the four space-time coordinates is described in terms of a generalized Wigner function (GWF). We derive lower bounds for the dispersion of the coordinate observables and discuss the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0305121","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0305121/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":"hep-th/0305121","created_at":"2026-07-04T15:29:39.120284+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0305121v2","created_at":"2026-07-04T15:29:39.120284+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0305121","created_at":"2026-07-04T15:29:39.120284+00:00"},{"alias_kind":"pith_short_12","alias_value":"FAPKANPY5LWF","created_at":"2026-07-04T15:29:39.120284+00:00"},{"alias_kind":"pith_short_16","alias_value":"FAPKANPY5LWFFJQA","created_at":"2026-07-04T15:29:39.120284+00:00"},{"alias_kind":"pith_short_8","alias_value":"FAPKANPY","created_at":"2026-07-04T15:29:39.120284+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.12584","citing_title":"The $\\mu$-extension of iterated integrals and nested sums","ref_index":27,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY","json":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY.json","graph_json":"https://pith.science/api/pith-number/FAPKANPY5LWFFJQAQOB25MYAYY/graph.json","events_json":"https://pith.science/api/pith-number/FAPKANPY5LWFFJQAQOB25MYAYY/events.json","paper":"https://pith.science/paper/FAPKANPY"},"agent_actions":{"view_html":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY","download_json":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY.json","view_paper":"https://pith.science/paper/FAPKANPY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0305121&json=true","fetch_graph":"https://pith.science/api/pith-number/FAPKANPY5LWFFJQAQOB25MYAYY/graph.json","fetch_events":"https://pith.science/api/pith-number/FAPKANPY5LWFFJQAQOB25MYAYY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/action/storage_attestation","attest_author":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/action/author_attestation","sign_citation":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/action/citation_signature","submit_replication":"https://pith.science/pith/FAPKANPY5LWFFJQAQOB25MYAYY/action/replication_record"}},"created_at":"2026-07-04T15:29:39.120284+00:00","updated_at":"2026-07-04T15:29:39.120284+00:00"}