{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BCKSJ5VESGDYCQRASAPKC5WIKB","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":"596d213edd0f99a3f452a57408c3134489c448afebe111ec92ce6a72761ac5fe","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-02-05T20:51:18Z","title_canon_sha256":"2c4c9dab98b589ce5256ec26a986844b416eb2df59cb1b61a7a883258fb46b76"},"schema_version":"1.0","source":{"id":"2602.06189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.06189","created_at":"2026-08-03T01:28:18Z"},{"alias_kind":"arxiv_version","alias_value":"2602.06189v1","created_at":"2026-08-03T01:28:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.06189","created_at":"2026-08-03T01:28:18Z"},{"alias_kind":"pith_short_12","alias_value":"BCKSJ5VESGDY","created_at":"2026-08-03T01:28:18Z"},{"alias_kind":"pith_short_16","alias_value":"BCKSJ5VESGDYCQRA","created_at":"2026-08-03T01:28:18Z"},{"alias_kind":"pith_short_8","alias_value":"BCKSJ5VE","created_at":"2026-08-03T01:28:18Z"}],"graph_snapshots":[{"event_id":"sha256:24006dcfc21f7e75c014d36e496c27a094e7caf69460719e6aaff4df0a72f797","target":"graph","created_at":"2026-08-03T01:28:18Z","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/2602.06189/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Generalized Uncertainty Principle (GUP) and Extended Uncertainty Principle (EUP) are modifications to the Heisenberg Uncertainly Principle (HUP), expected to apply as the energy approaches the Planck scale. Here we consider a possible combination of these modifications (GEUP) and analyse the implications in various regions of the ($\\Delta x$, $\\Delta p$) plane. We also consider an alternative combination (EGUP) which exhibits duality between $\\Delta p$ and $\\Delta x$, showing that this has some unusual features. The parameters which describe these models are usually assumed to be positive ","authors_text":"Bernard Carr, Jonas Mureika","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-02-05T20:51:18Z","title":"Combining the Generalized and Extended Uncertainty Principles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.06189","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:adb1480441f61b1415da2c5ae55c93b0049fb5ccb3ff26f21d1fadb7ef523a1a","target":"record","created_at":"2026-08-03T01:28:18Z","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":"596d213edd0f99a3f452a57408c3134489c448afebe111ec92ce6a72761ac5fe","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-02-05T20:51:18Z","title_canon_sha256":"2c4c9dab98b589ce5256ec26a986844b416eb2df59cb1b61a7a883258fb46b76"},"schema_version":"1.0","source":{"id":"2602.06189","kind":"arxiv","version":1}},"canonical_sha256":"089524f6a49187814220901ea176c8504de19212642db4c36366785850c43253","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"089524f6a49187814220901ea176c8504de19212642db4c36366785850c43253","first_computed_at":"2026-08-03T01:28:18.452476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:28:18.452476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GUFuEBXW0/IRN3sI3PSvIxvh3FTT0nDF1Vc9wZEE90wAzdTGcrJ9ET8t13Gc9FYmhf502OfnzjOVCjZjTaccBQ==","signature_status":"signed_v1","signed_at":"2026-08-03T01:28:18.454470Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.06189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adb1480441f61b1415da2c5ae55c93b0049fb5ccb3ff26f21d1fadb7ef523a1a","sha256:24006dcfc21f7e75c014d36e496c27a094e7caf69460719e6aaff4df0a72f797"],"state_sha256":"ca77ac1c3703d5c62ebd01ba8839eef2d7c27f647535e31a2fc8b0d931cb4400"}