{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:ISD2345WFAUO5UHMBD2XU4C4LD","short_pith_number":"pith:ISD2345W","schema_version":"1.0","canonical_sha256":"4487adf3b62828eed0ec08f57a705c58e442f8f99bd727d9b323274e7d13d587","source":{"kind":"arxiv","id":"2505.08633","version":1},"attestation_state":"computed","paper":{"title":"D-Hammer: Efficient Equational Reasoning for Labelled Dirac Notation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.PL","authors_text":"Gilles Barthe, Li Zhou, Yingte Xu","submitted_at":"2025-05-13T14:51:04Z","abstract_excerpt":"Labelled Dirac notation is a formalism commonly used by physicists to represent many-body quantum systems and by computer scientists to assert properties of quantum programs. It is supported by a rich equational theory for proving equality between expressions in the language. These proofs are typically carried on pen-and-paper, and can be exceedingly long and error-prone. We introduce D-Hammer, the first tool to support automated equational proof for labelled Dirac notation. The salient features of D-Hammer include: an expressive, higher-order, dependently-typed language for labelled Dirac not"},"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":"2505.08633","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2025-05-13T14:51:04Z","cross_cats_sorted":[],"title_canon_sha256":"4a70d47d43c52004e087b9df76927d2f308f6576afb20847229d5e6a5730a9cf","abstract_canon_sha256":"9db6ea2eb780dc5fac1bd6bf4080e655dccf69ce53415e33c2b89f5ec8d4d1f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:02:33.915952Z","signature_b64":"8mxeKilqO6jQBq27JfE8Jwd1HAPaLbWV2rciHCIBYAO7Q1rBrAN6Z6ItLu8Nm/+KzLvcJYeKVhnq+Rsr+wDSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4487adf3b62828eed0ec08f57a705c58e442f8f99bd727d9b323274e7d13d587","last_reissued_at":"2026-07-05T11:02:33.915446Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:02:33.915446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"D-Hammer: Efficient Equational Reasoning for Labelled Dirac Notation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.PL","authors_text":"Gilles Barthe, Li Zhou, Yingte Xu","submitted_at":"2025-05-13T14:51:04Z","abstract_excerpt":"Labelled Dirac notation is a formalism commonly used by physicists to represent many-body quantum systems and by computer scientists to assert properties of quantum programs. It is supported by a rich equational theory for proving equality between expressions in the language. These proofs are typically carried on pen-and-paper, and can be exceedingly long and error-prone. We introduce D-Hammer, the first tool to support automated equational proof for labelled Dirac notation. The salient features of D-Hammer include: an expressive, higher-order, dependently-typed language for labelled Dirac not"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.08633","kind":"arxiv","version":1},"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/2505.08633/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":"2505.08633","created_at":"2026-07-05T11:02:33.915511+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.08633v1","created_at":"2026-07-05T11:02:33.915511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.08633","created_at":"2026-07-05T11:02:33.915511+00:00"},{"alias_kind":"pith_short_12","alias_value":"ISD2345WFAUO","created_at":"2026-07-05T11:02:33.915511+00:00"},{"alias_kind":"pith_short_16","alias_value":"ISD2345WFAUO5UHM","created_at":"2026-07-05T11:02:33.915511+00:00"},{"alias_kind":"pith_short_8","alias_value":"ISD2345W","created_at":"2026-07-05T11:02:33.915511+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD","json":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD.json","graph_json":"https://pith.science/api/pith-number/ISD2345WFAUO5UHMBD2XU4C4LD/graph.json","events_json":"https://pith.science/api/pith-number/ISD2345WFAUO5UHMBD2XU4C4LD/events.json","paper":"https://pith.science/paper/ISD2345W"},"agent_actions":{"view_html":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD","download_json":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD.json","view_paper":"https://pith.science/paper/ISD2345W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.08633&json=true","fetch_graph":"https://pith.science/api/pith-number/ISD2345WFAUO5UHMBD2XU4C4LD/graph.json","fetch_events":"https://pith.science/api/pith-number/ISD2345WFAUO5UHMBD2XU4C4LD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD/action/storage_attestation","attest_author":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD/action/author_attestation","sign_citation":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD/action/citation_signature","submit_replication":"https://pith.science/pith/ISD2345WFAUO5UHMBD2XU4C4LD/action/replication_record"}},"created_at":"2026-07-05T11:02:33.915511+00:00","updated_at":"2026-07-05T11:02:33.915511+00:00"}