{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:53DXQMV37B2UJSORC3UNTTBKB3","short_pith_number":"pith:53DXQMV3","schema_version":"1.0","canonical_sha256":"eec77832bbf87544c9d116e8d9cc2a0ef2ec2640b9c5bd068f7ab24e4b73f5df","source":{"kind":"arxiv","id":"1503.01981","version":5},"attestation_state":"computed","paper":{"title":"A Uniform Substitution Calculus for Differential Dynamic Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL","math.LO"],"primary_cat":"cs.LO","authors_text":"Andr\\'e Platzer","submitted_at":"2015-03-06T15:05:30Z","abstract_excerpt":"This paper introduces a new proof calculus for differential dynamic logic (dL) that is entirely based on uniform substitution, a proof rule that substitutes a formula for a predicate symbol everywhere. Uniform substitutions make it possible to rely on axioms rather than axiom schemata, substantially simplifying implementations. Instead of nontrivial schema variables and soundness-critical side conditions on the occurrence patterns of variables, the resulting calculus adopts only a finite number of ordinary dL formulas as axioms. The static semantics of differential dynamic logic is captured ex"},"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":"1503.01981","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-03-06T15:05:30Z","cross_cats_sorted":["cs.PL","math.LO"],"title_canon_sha256":"c19f6842463e540580b170b3ffe2a143c36f598acabe6cf17cc0f1513f433104","abstract_canon_sha256":"03f679e779ae3c50ab4c5ba8a78a87c9b9644f0eb396891db796bc8538fc818d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:06.958370Z","signature_b64":"1qDdb//L5E4D5MNwVe+45bXBo1l+u2HTnNvFC0xri4BTvMECjinvZATn4yRl3s6mmHoStOdUWpDG/NczWV20BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eec77832bbf87544c9d116e8d9cc2a0ef2ec2640b9c5bd068f7ab24e4b73f5df","last_reissued_at":"2026-05-18T01:36:06.957814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:06.957814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Uniform Substitution Calculus for Differential Dynamic Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL","math.LO"],"primary_cat":"cs.LO","authors_text":"Andr\\'e Platzer","submitted_at":"2015-03-06T15:05:30Z","abstract_excerpt":"This paper introduces a new proof calculus for differential dynamic logic (dL) that is entirely based on uniform substitution, a proof rule that substitutes a formula for a predicate symbol everywhere. Uniform substitutions make it possible to rely on axioms rather than axiom schemata, substantially simplifying implementations. Instead of nontrivial schema variables and soundness-critical side conditions on the occurrence patterns of variables, the resulting calculus adopts only a finite number of ordinary dL formulas as axioms. The static semantics of differential dynamic logic is captured ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01981","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":"1503.01981","created_at":"2026-05-18T01:36:06.957897+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.01981v5","created_at":"2026-05-18T01:36:06.957897+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01981","created_at":"2026-05-18T01:36:06.957897+00:00"},{"alias_kind":"pith_short_12","alias_value":"53DXQMV37B2U","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"53DXQMV37B2UJSOR","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"53DXQMV3","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.05535","citing_title":"Toward Structured Proofs for Dynamic Logics","ref_index":65,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3","json":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3.json","graph_json":"https://pith.science/api/pith-number/53DXQMV37B2UJSORC3UNTTBKB3/graph.json","events_json":"https://pith.science/api/pith-number/53DXQMV37B2UJSORC3UNTTBKB3/events.json","paper":"https://pith.science/paper/53DXQMV3"},"agent_actions":{"view_html":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3","download_json":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3.json","view_paper":"https://pith.science/paper/53DXQMV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.01981&json=true","fetch_graph":"https://pith.science/api/pith-number/53DXQMV37B2UJSORC3UNTTBKB3/graph.json","fetch_events":"https://pith.science/api/pith-number/53DXQMV37B2UJSORC3UNTTBKB3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3/action/storage_attestation","attest_author":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3/action/author_attestation","sign_citation":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3/action/citation_signature","submit_replication":"https://pith.science/pith/53DXQMV37B2UJSORC3UNTTBKB3/action/replication_record"}},"created_at":"2026-05-18T01:36:06.957897+00:00","updated_at":"2026-05-18T01:36:06.957897+00:00"}