{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:YFSST4LPTNRYW6XXC2O746YNOI","short_pith_number":"pith:YFSST4LP","schema_version":"1.0","canonical_sha256":"c16529f16f9b638b7af7169dfe7b0d722df296e29e26904288caf8a1287dcd0f","source":{"kind":"arxiv","id":"1110.2999","version":5},"attestation_state":"computed","paper":{"title":"A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pouria Pedram","submitted_at":"2011-10-13T17:09:22Z","abstract_excerpt":"We present a higher order generalized (gravitational) uncertainty principle (GUP) in the form $[X,P]=i\\hbar/(1-\\beta P^2)$. This form of GUP is consistent with various proposals of quantum gravity such as string theory, loop quantum gravity, doubly special relativity, and predicts both a minimal length uncertainty and a maximal observable momentum. We show that the presence of the maximal momentum results in an upper bound on the energy spectrum of the momentum eigenstates and the harmonic oscillator."},"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":"1110.2999","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-13T17:09:22Z","cross_cats_sorted":[],"title_canon_sha256":"7c81f0ae09254b0e809fd7cf79c009f25ebee719840f658b00273291b63ab5a6","abstract_canon_sha256":"e6ad6b96180f08177eb226f61a90e129c24834c6e402794372bb9e83bdc4cfc7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:35.323380Z","signature_b64":"pSg9ke3CGZEOrNdjeiRTcTZJ0eXJRrXq7ibV5kqQERutXNBfwLz1TKORBwVuDhlbvi13KY/Ba+lhCBF3m0XuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c16529f16f9b638b7af7169dfe7b0d722df296e29e26904288caf8a1287dcd0f","last_reissued_at":"2026-05-18T02:21:35.322687Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:35.322687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pouria Pedram","submitted_at":"2011-10-13T17:09:22Z","abstract_excerpt":"We present a higher order generalized (gravitational) uncertainty principle (GUP) in the form $[X,P]=i\\hbar/(1-\\beta P^2)$. This form of GUP is consistent with various proposals of quantum gravity such as string theory, loop quantum gravity, doubly special relativity, and predicts both a minimal length uncertainty and a maximal observable momentum. We show that the presence of the maximal momentum results in an upper bound on the energy spectrum of the momentum eigenstates and the harmonic oscillator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2999","kind":"arxiv","version":5},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.2999","created_at":"2026-05-18T02:21:35.322793+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.2999v5","created_at":"2026-05-18T02:21:35.322793+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2999","created_at":"2026-05-18T02:21:35.322793+00:00"},{"alias_kind":"pith_short_12","alias_value":"YFSST4LPTNRY","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YFSST4LPTNRYW6XX","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YFSST4LP","created_at":"2026-05-18T12:26:47.523578+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2511.14869","citing_title":"From minimal-length quantum theory to modified gravity","ref_index":53,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI","json":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI.json","graph_json":"https://pith.science/api/pith-number/YFSST4LPTNRYW6XXC2O746YNOI/graph.json","events_json":"https://pith.science/api/pith-number/YFSST4LPTNRYW6XXC2O746YNOI/events.json","paper":"https://pith.science/paper/YFSST4LP"},"agent_actions":{"view_html":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI","download_json":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI.json","view_paper":"https://pith.science/paper/YFSST4LP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.2999&json=true","fetch_graph":"https://pith.science/api/pith-number/YFSST4LPTNRYW6XXC2O746YNOI/graph.json","fetch_events":"https://pith.science/api/pith-number/YFSST4LPTNRYW6XXC2O746YNOI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI/action/storage_attestation","attest_author":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI/action/author_attestation","sign_citation":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI/action/citation_signature","submit_replication":"https://pith.science/pith/YFSST4LPTNRYW6XXC2O746YNOI/action/replication_record"}},"created_at":"2026-05-18T02:21:35.322793+00:00","updated_at":"2026-05-18T02:21:35.322793+00:00"}