{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6TYOKTY3HJHSOM7HAPTA6ABTPI","short_pith_number":"pith:6TYOKTY3","canonical_record":{"source":{"id":"1209.3637","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-09-17T12:33:38Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"53d8cd5ed7f1be3d47bb069112690cd35d973aeff9e1a7a727a2e1be5d647f17","abstract_canon_sha256":"231a562faeda5c463420a3c4135677f72424d17b958f1d21eca2e3179c7dbb56"},"schema_version":"1.0"},"canonical_sha256":"f4f0e54f1b3a4f2733e703e60f00337a0bf2e5e8409f5534181d002e61990437","source":{"kind":"arxiv","id":"1209.3637","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3637","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3637v2","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3637","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"6TYOKTY3HJHS","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6TYOKTY3HJHSOM7H","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6TYOKTY3","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6TYOKTY3HJHSOM7HAPTA6ABTPI","target":"record","payload":{"canonical_record":{"source":{"id":"1209.3637","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-09-17T12:33:38Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"53d8cd5ed7f1be3d47bb069112690cd35d973aeff9e1a7a727a2e1be5d647f17","abstract_canon_sha256":"231a562faeda5c463420a3c4135677f72424d17b958f1d21eca2e3179c7dbb56"},"schema_version":"1.0"},"canonical_sha256":"f4f0e54f1b3a4f2733e703e60f00337a0bf2e5e8409f5534181d002e61990437","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:06.521440Z","signature_b64":"l5vWKTDEwWdUHQYd0BBzX+L/xd2RNuX7P5dxOvZm5rMnnH284YvyUoWChQlhD/upoiUD/iYh74G0R2RHUL5+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4f0e54f1b3a4f2733e703e60f00337a0bf2e5e8409f5534181d002e61990437","last_reissued_at":"2026-05-18T02:59:06.520731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:06.520731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.3637","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SkBKLOr4YFWoDpONkAZWANriKlgfFlAMx/RXBWq2cJaTqk2f+wBTDgSamguLkrJwYcCVD/AqPdv0JI09ECzGCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:19:19.374416Z"},"content_sha256":"6de45df5e8dcb40324d75b60901551f85b9a8a8693f279a0e9c0c3780a7d6811","schema_version":"1.0","event_id":"sha256:6de45df5e8dcb40324d75b60901551f85b9a8a8693f279a0e9c0c3780a7d6811"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6TYOKTY3HJHSOM7HAPTA6ABTPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The logical clarinet: numerical optimization of the geometry of woodwind instruments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.pop-ph","authors_text":"Alexis Guilloteau (LMA), Christophe Vergez (LMA), Daniel Noreland, Franck Lalo\\\"e (LKB - Lhomond), Jean Kergomard (LMA), Philippe Guillemain (LMA)","submitted_at":"2012-09-17T12:33:38Z","abstract_excerpt":"The tone hole geometry of a clarinet is optimized numerically. The instrument is modeled as a network of one dimensional transmission line elements. For each (non-fork) fingering, we first calculate the resonance frequencies of the input impedance peaks, and compare them with the frequencies of a mathematically even chromatic scale (equal temperament). A least square algorithm is then used to minimize the differences and to derive the geometry of the instrument. Various situations are studied, with and without dedicated register hole and/or enlargement of the bore. With a dedicated register ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3637","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QTkGx3j+UKWChsjlt06ImxWzF7C56y4aChNECrvP3J7eLq2fvJ19DDZ3alU+MLjT0+S+keRuUG6kqXrnJTb0CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:19:19.374778Z"},"content_sha256":"3e8fb3c42ad19b73e97e82d6c68dfb71cf79d6e6bcc96896e1785c4e6590301e","schema_version":"1.0","event_id":"sha256:3e8fb3c42ad19b73e97e82d6c68dfb71cf79d6e6bcc96896e1785c4e6590301e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6TYOKTY3HJHSOM7HAPTA6ABTPI/bundle.json","state_url":"https://pith.science/pith/6TYOKTY3HJHSOM7HAPTA6ABTPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6TYOKTY3HJHSOM7HAPTA6ABTPI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T23:19:19Z","links":{"resolver":"https://pith.science/pith/6TYOKTY3HJHSOM7HAPTA6ABTPI","bundle":"https://pith.science/pith/6TYOKTY3HJHSOM7HAPTA6ABTPI/bundle.json","state":"https://pith.science/pith/6TYOKTY3HJHSOM7HAPTA6ABTPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6TYOKTY3HJHSOM7HAPTA6ABTPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6TYOKTY3HJHSOM7HAPTA6ABTPI","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":"231a562faeda5c463420a3c4135677f72424d17b958f1d21eca2e3179c7dbb56","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-09-17T12:33:38Z","title_canon_sha256":"53d8cd5ed7f1be3d47bb069112690cd35d973aeff9e1a7a727a2e1be5d647f17"},"schema_version":"1.0","source":{"id":"1209.3637","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3637","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3637v2","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3637","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"6TYOKTY3HJHS","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6TYOKTY3HJHSOM7H","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6TYOKTY3","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:3e8fb3c42ad19b73e97e82d6c68dfb71cf79d6e6bcc96896e1785c4e6590301e","target":"graph","created_at":"2026-05-18T02:59:06Z","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":"The tone hole geometry of a clarinet is optimized numerically. The instrument is modeled as a network of one dimensional transmission line elements. For each (non-fork) fingering, we first calculate the resonance frequencies of the input impedance peaks, and compare them with the frequencies of a mathematically even chromatic scale (equal temperament). A least square algorithm is then used to minimize the differences and to derive the geometry of the instrument. Various situations are studied, with and without dedicated register hole and/or enlargement of the bore. With a dedicated register ho","authors_text":"Alexis Guilloteau (LMA), Christophe Vergez (LMA), Daniel Noreland, Franck Lalo\\\"e (LKB - Lhomond), Jean Kergomard (LMA), Philippe Guillemain (LMA)","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-09-17T12:33:38Z","title":"The logical clarinet: numerical optimization of the geometry of woodwind instruments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3637","kind":"arxiv","version":2},"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":"sha256:6de45df5e8dcb40324d75b60901551f85b9a8a8693f279a0e9c0c3780a7d6811","target":"record","created_at":"2026-05-18T02:59:06Z","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":"231a562faeda5c463420a3c4135677f72424d17b958f1d21eca2e3179c7dbb56","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-09-17T12:33:38Z","title_canon_sha256":"53d8cd5ed7f1be3d47bb069112690cd35d973aeff9e1a7a727a2e1be5d647f17"},"schema_version":"1.0","source":{"id":"1209.3637","kind":"arxiv","version":2}},"canonical_sha256":"f4f0e54f1b3a4f2733e703e60f00337a0bf2e5e8409f5534181d002e61990437","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4f0e54f1b3a4f2733e703e60f00337a0bf2e5e8409f5534181d002e61990437","first_computed_at":"2026-05-18T02:59:06.520731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:06.520731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l5vWKTDEwWdUHQYd0BBzX+L/xd2RNuX7P5dxOvZm5rMnnH284YvyUoWChQlhD/upoiUD/iYh74G0R2RHUL5+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:06.521440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3637","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6de45df5e8dcb40324d75b60901551f85b9a8a8693f279a0e9c0c3780a7d6811","sha256:3e8fb3c42ad19b73e97e82d6c68dfb71cf79d6e6bcc96896e1785c4e6590301e"],"state_sha256":"37d11f85d7206493d3bcc400fab858f93d2862c009c7a751dcb361c57fb0cb04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"41ZiTbkzW9FWMNUl+yIXZ04m/13g7IR77Mgk7tAXq2Twa4tqWLv0NazrzRMr7NUR9YsxORQwFLPD95/GqXcGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T23:19:19.376879Z","bundle_sha256":"f72ed8ad605cc8d0d88a3d379a5fdc168d8158e8522ffb9289214a87a72cbdfc"}}