{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:KBCXL5MWL6HECALOX6ZHNDOT56","short_pith_number":"pith:KBCXL5MW","schema_version":"1.0","canonical_sha256":"504575f5965f8e41016ebfb2768dd3ef99c0a4cf4d23344f20604747d1e1361a","source":{"kind":"arxiv","id":"math-ph/0203006","version":1},"attestation_state":"computed","paper":{"title":"A Glimpse at Mathematical Diffraction Theory","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Michael Baake (Greifswald)","submitted_at":"2002-03-05T09:52:34Z","abstract_excerpt":"Mathematical diffraction theory is concerned with the analysis of the diffraction measure of a translation bounded complex measure $\\omega$. It emerges as the Fourier transform of the autocorrelation measure of $\\omega$. The mathematically rigorous approach has produced a number of interesting results in the context of perfect and random systems, some of which are summarized here."},"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":"math-ph/0203006","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-03-05T09:52:34Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"b0844efd02526dc52e4499eeae7217d220164bd7cdddfe45634756be8e04d7ac","abstract_canon_sha256":"9a88280e60690b2a84f266c6321b4620e8339e1424ab00065bd67fdfbd5de55f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:08.050193Z","signature_b64":"JBrnKzqz60h0w2FzcxEGBD4mWtLWpmJyQ6G4E0AKR39/93JQhTv0nGCVRuc9mG3E5sOE4cgDNDD/px6Apzg1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"504575f5965f8e41016ebfb2768dd3ef99c0a4cf4d23344f20604747d1e1361a","last_reissued_at":"2026-05-18T00:37:08.049673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:08.049673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Glimpse at Mathematical Diffraction Theory","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Michael Baake (Greifswald)","submitted_at":"2002-03-05T09:52:34Z","abstract_excerpt":"Mathematical diffraction theory is concerned with the analysis of the diffraction measure of a translation bounded complex measure $\\omega$. It emerges as the Fourier transform of the autocorrelation measure of $\\omega$. The mathematically rigorous approach has produced a number of interesting results in the context of perfect and random systems, some of which are summarized here."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0203006","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":""},"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":"math-ph/0203006","created_at":"2026-05-18T00:37:08.049761+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0203006v1","created_at":"2026-05-18T00:37:08.049761+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0203006","created_at":"2026-05-18T00:37:08.049761+00:00"},{"alias_kind":"pith_short_12","alias_value":"KBCXL5MWL6HE","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"KBCXL5MWL6HECALO","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"KBCXL5MW","created_at":"2026-05-18T12:25:51.375804+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/KBCXL5MWL6HECALOX6ZHNDOT56","json":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56.json","graph_json":"https://pith.science/api/pith-number/KBCXL5MWL6HECALOX6ZHNDOT56/graph.json","events_json":"https://pith.science/api/pith-number/KBCXL5MWL6HECALOX6ZHNDOT56/events.json","paper":"https://pith.science/paper/KBCXL5MW"},"agent_actions":{"view_html":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56","download_json":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56.json","view_paper":"https://pith.science/paper/KBCXL5MW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0203006&json=true","fetch_graph":"https://pith.science/api/pith-number/KBCXL5MWL6HECALOX6ZHNDOT56/graph.json","fetch_events":"https://pith.science/api/pith-number/KBCXL5MWL6HECALOX6ZHNDOT56/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56/action/storage_attestation","attest_author":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56/action/author_attestation","sign_citation":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56/action/citation_signature","submit_replication":"https://pith.science/pith/KBCXL5MWL6HECALOX6ZHNDOT56/action/replication_record"}},"created_at":"2026-05-18T00:37:08.049761+00:00","updated_at":"2026-05-18T00:37:08.049761+00:00"}