{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:HLADOZNPLMGYX2Z2VKOJLQN26R","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":"2423842301b26a32d7b4fc3a6741a0b12606d02286c00bb784b77e17a46790dc","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"1998-09-28T13:03:26Z","title_canon_sha256":"e3085c60f5bcb197c5eb78664904088f41413f0e377b95f5133dd1bed5f3417a"},"schema_version":"1.0","source":{"id":"math/9809160","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9809160","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"arxiv_version","alias_value":"math/9809160v1","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9809160","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"pith_short_12","alias_value":"HLADOZNPLMGY","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"HLADOZNPLMGYX2Z2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"HLADOZNP","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:fa4139b42b5d8242c9c232d81276ccd3b312849bbd6cc752a7c5733d557f9f4b","target":"graph","created_at":"2026-05-18T04:13:16Z","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"},"paper":{"abstract_excerpt":"We show how one can construct a differential calculus over an algebra where position variables x and momentum variables p have be defined. As the simplest example we consider the one-dimensional q-deformed Heisenberg algebra. This algebra has a subalgebra generated by x and its inverse which we call the coordinate algebra. A physical field is considered to be an element of the completion of this algebra. We can construct a derivative which leaves invariant the coordinate algebra and so takes physical fields into physical fields. A generalized Leibniz rule for this algebra can be found. Based o","authors_text":"B.L. Cerchiai, J. Madore, J. Wess, R. Hinterding","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"1998-09-28T13:03:26Z","title":"A Calculus Based on a q-deformed Heisenberg Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9809160","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":"sha256:76edd64bd1fe4c572747f69e660ccb9a4bda78389ebda2b959ffa802b2ada058","target":"record","created_at":"2026-05-18T04:13:16Z","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":"2423842301b26a32d7b4fc3a6741a0b12606d02286c00bb784b77e17a46790dc","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"1998-09-28T13:03:26Z","title_canon_sha256":"e3085c60f5bcb197c5eb78664904088f41413f0e377b95f5133dd1bed5f3417a"},"schema_version":"1.0","source":{"id":"math/9809160","kind":"arxiv","version":1}},"canonical_sha256":"3ac03765af5b0d8beb3aaa9c95c1baf45e59ea91dde9a7fcc69147835ee1b005","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ac03765af5b0d8beb3aaa9c95c1baf45e59ea91dde9a7fcc69147835ee1b005","first_computed_at":"2026-05-18T04:13:16.549578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:16.549578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bNzhifkC+sHHct02/1ZgWxUum748p6hjv6zRz9oA2itVGQi0Rs8k2JC2UfwuV2USEjQ2UcFi/SLcRnx4DKhABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:16.550093Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9809160","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76edd64bd1fe4c572747f69e660ccb9a4bda78389ebda2b959ffa802b2ada058","sha256:fa4139b42b5d8242c9c232d81276ccd3b312849bbd6cc752a7c5733d557f9f4b"],"state_sha256":"c47ed822df58686add64a53337967cbb736ab384138ab54838b806c32598cf66"}