{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ND2DSCAPMFR7IHPOTAMXHMS2LP","short_pith_number":"pith:ND2DSCAP","canonical_record":{"source":{"id":"1207.7136","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-07-30T23:40:07Z","cross_cats_sorted":[],"title_canon_sha256":"06e9a1370658b0fce7b57f245729fb22f4b8d440901e9d1b64b28935d716f9eb","abstract_canon_sha256":"e8e4558e0e214b83b678242bddc94f3a08c000f4c5337d5de4dc7d7c83f4fe38"},"schema_version":"1.0"},"canonical_sha256":"68f439080f6163f41dee981973b25a5bee185c340407933ff314f3fb30b4a589","source":{"kind":"arxiv","id":"1207.7136","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.7136","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1207.7136v2","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.7136","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"ND2DSCAPMFR7","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"ND2DSCAPMFR7IHPO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"ND2DSCAP","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ND2DSCAPMFR7IHPOTAMXHMS2LP","target":"record","payload":{"canonical_record":{"source":{"id":"1207.7136","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-07-30T23:40:07Z","cross_cats_sorted":[],"title_canon_sha256":"06e9a1370658b0fce7b57f245729fb22f4b8d440901e9d1b64b28935d716f9eb","abstract_canon_sha256":"e8e4558e0e214b83b678242bddc94f3a08c000f4c5337d5de4dc7d7c83f4fe38"},"schema_version":"1.0"},"canonical_sha256":"68f439080f6163f41dee981973b25a5bee185c340407933ff314f3fb30b4a589","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:41.333096Z","signature_b64":"cLfmE0ADSnBzkuBZzze7wA/O8KUQiASAnpznEKAgc8qyl+Qnh010RHdZA2c8OCeKU7tz2yVeHDMXe1U+S55KAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68f439080f6163f41dee981973b25a5bee185c340407933ff314f3fb30b4a589","last_reissued_at":"2026-05-18T03:07:41.332600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:41.332600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.7136","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":"2026-05-18T03:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p0QdgIqTjHXxzISNZLBtAexTt/fSbFOYO7+f27kD4WrP2TeraXPtQzrnvbBR3VgHBT4YiUGucILSZdnLc7VxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:47:49.419283Z"},"content_sha256":"ff3f6f96f445ed1343ca9c977cd5e5a82ec32c4683e8a9a23801cd85d46e23e1","schema_version":"1.0","event_id":"sha256:ff3f6f96f445ed1343ca9c977cd5e5a82ec32c4683e8a9a23801cd85d46e23e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ND2DSCAPMFR7IHPOTAMXHMS2LP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flute-like musical instruments: a toy model investigated through numerical continuation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Beno\\^it Fabre (IJLRA), Christophe Vergez (LMA), Soizic Terrien (LMA)","submitted_at":"2012-07-30T23:40:07Z","abstract_excerpt":"Self-sustained musical instruments (bowed string, woodwind and brass instruments) can be modeled by nonlinear lumped dynamical systems. Among these instruments, flutes and flue organ pipes present the particularity to be modeled as a delay dynamical system. In this paper, such a system, a toy model of flute-like instruments, is studied using numerical continuation. Equilibrium and periodic solutions are explored with respect to the blowing pressure, with focus on amplitude and frequency evolutions along the different solution branches, as well as \"jumps\" between periodic solution branches. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.7136","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":"2026-05-18T03:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XwHUcfAgfeA8QzuvKGGjqFsWjPjbm3nIBhFcWHKwCvqJiAgvlK1yfI0hsKJIjDCEwQYn5WNzIPhJ91SmxxjmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:47:49.419658Z"},"content_sha256":"3546c9bf1765e39ed15ce0d8b48321ce74078ca6596359ebd05d7da2f02eeb04","schema_version":"1.0","event_id":"sha256:3546c9bf1765e39ed15ce0d8b48321ce74078ca6596359ebd05d7da2f02eeb04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ND2DSCAPMFR7IHPOTAMXHMS2LP/bundle.json","state_url":"https://pith.science/pith/ND2DSCAPMFR7IHPOTAMXHMS2LP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ND2DSCAPMFR7IHPOTAMXHMS2LP/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":"2026-06-02T16:47:49Z","links":{"resolver":"https://pith.science/pith/ND2DSCAPMFR7IHPOTAMXHMS2LP","bundle":"https://pith.science/pith/ND2DSCAPMFR7IHPOTAMXHMS2LP/bundle.json","state":"https://pith.science/pith/ND2DSCAPMFR7IHPOTAMXHMS2LP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ND2DSCAPMFR7IHPOTAMXHMS2LP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ND2DSCAPMFR7IHPOTAMXHMS2LP","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":"e8e4558e0e214b83b678242bddc94f3a08c000f4c5337d5de4dc7d7c83f4fe38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-07-30T23:40:07Z","title_canon_sha256":"06e9a1370658b0fce7b57f245729fb22f4b8d440901e9d1b64b28935d716f9eb"},"schema_version":"1.0","source":{"id":"1207.7136","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.7136","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1207.7136v2","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.7136","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"ND2DSCAPMFR7","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"ND2DSCAPMFR7IHPO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"ND2DSCAP","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:3546c9bf1765e39ed15ce0d8b48321ce74078ca6596359ebd05d7da2f02eeb04","target":"graph","created_at":"2026-05-18T03:07:41Z","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":"Self-sustained musical instruments (bowed string, woodwind and brass instruments) can be modeled by nonlinear lumped dynamical systems. Among these instruments, flutes and flue organ pipes present the particularity to be modeled as a delay dynamical system. In this paper, such a system, a toy model of flute-like instruments, is studied using numerical continuation. Equilibrium and periodic solutions are explored with respect to the blowing pressure, with focus on amplitude and frequency evolutions along the different solution branches, as well as \"jumps\" between periodic solution branches. The","authors_text":"Beno\\^it Fabre (IJLRA), Christophe Vergez (LMA), Soizic Terrien (LMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-07-30T23:40:07Z","title":"Flute-like musical instruments: a toy model investigated through numerical continuation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.7136","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:ff3f6f96f445ed1343ca9c977cd5e5a82ec32c4683e8a9a23801cd85d46e23e1","target":"record","created_at":"2026-05-18T03:07:41Z","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":"e8e4558e0e214b83b678242bddc94f3a08c000f4c5337d5de4dc7d7c83f4fe38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-07-30T23:40:07Z","title_canon_sha256":"06e9a1370658b0fce7b57f245729fb22f4b8d440901e9d1b64b28935d716f9eb"},"schema_version":"1.0","source":{"id":"1207.7136","kind":"arxiv","version":2}},"canonical_sha256":"68f439080f6163f41dee981973b25a5bee185c340407933ff314f3fb30b4a589","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68f439080f6163f41dee981973b25a5bee185c340407933ff314f3fb30b4a589","first_computed_at":"2026-05-18T03:07:41.332600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:41.332600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cLfmE0ADSnBzkuBZzze7wA/O8KUQiASAnpznEKAgc8qyl+Qnh010RHdZA2c8OCeKU7tz2yVeHDMXe1U+S55KAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:41.333096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.7136","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff3f6f96f445ed1343ca9c977cd5e5a82ec32c4683e8a9a23801cd85d46e23e1","sha256:3546c9bf1765e39ed15ce0d8b48321ce74078ca6596359ebd05d7da2f02eeb04"],"state_sha256":"1a0f61901412e3e124e2740f9f3ea4ed4f4964e741c063253a2204147990692d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x3i/SVtgNjzp9+xWVphH/ULSY0oDoXtVW5Nuu5I4QOXkOMRZpAbTM5YMrma1W6vHrmKYFdaLD44wWcwhuTGYDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:47:49.421609Z","bundle_sha256":"1fdde27e4cc429ff07f24ecb027947b2a755dbaf47ae934b898f745f295fd8e1"}}