{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MYLFG7APKVBLS2E2ESA3KVSJQH","short_pith_number":"pith:MYLFG7AP","canonical_record":{"source":{"id":"2407.13037","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-07-17T22:07:44Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"46a0695f56f709e23108bc207c82fc448bd74043a86e65ba72723877fb60a37e","abstract_canon_sha256":"ded1e277e1c0dcb08b2ef205acebdb5f6f9bf92a735e91a7e6ad18d3c5802318"},"schema_version":"1.0"},"canonical_sha256":"6616537c0f5542b9689a2481b5564981c1c169e74308ebd15663b9dd639f82a8","source":{"kind":"arxiv","id":"2407.13037","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.13037","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"arxiv_version","alias_value":"2407.13037v2","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.13037","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"pith_short_12","alias_value":"MYLFG7APKVBL","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"pith_short_16","alias_value":"MYLFG7APKVBLS2E2","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"pith_short_8","alias_value":"MYLFG7AP","created_at":"2026-06-19T16:10:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MYLFG7APKVBLS2E2ESA3KVSJQH","target":"record","payload":{"canonical_record":{"source":{"id":"2407.13037","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-07-17T22:07:44Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"46a0695f56f709e23108bc207c82fc448bd74043a86e65ba72723877fb60a37e","abstract_canon_sha256":"ded1e277e1c0dcb08b2ef205acebdb5f6f9bf92a735e91a7e6ad18d3c5802318"},"schema_version":"1.0"},"canonical_sha256":"6616537c0f5542b9689a2481b5564981c1c169e74308ebd15663b9dd639f82a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:52.779775Z","signature_b64":"3U35levVPhOv8B3eC+P+z//5ehs1k9Xsq9O0IREtVMjl/XNKYaUr2Na3idfUvbPsdTDv2GjgnWqZjOsK6SLhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6616537c0f5542b9689a2481b5564981c1c169e74308ebd15663b9dd639f82a8","last_reissued_at":"2026-06-19T16:10:52.779432Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:52.779432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.13037","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":"2026-06-19T16:10:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s4vcjoHL78zcmS8z1eHpIU4uZ9Z0REtgKz3exMAOHVacyCFeRHK5FXm6K/rPmeL7Ie14gKGcUd6GqCPAs9vjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:34:40.557516Z"},"content_sha256":"ec3297a419e0f0ae5a2f5242572ddd4644b4c92a38f769368a864fa843fb6a02","schema_version":"1.0","event_id":"sha256:ec3297a419e0f0ae5a2f5242572ddd4644b4c92a38f769368a864fa843fb6a02"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MYLFG7APKVBLS2E2ESA3KVSJQH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dispersion Relations for Active Undulators in Overdamped Environments","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["q-bio.QM"],"primary_cat":"physics.bio-ph","authors_text":"Christopher J. Pierce, Daniel I. Goldman, Daniel Irvine, Hang Lu, Lucinda Peng, Xuefei Lu","submitted_at":"2024-07-17T22:07:44Z","abstract_excerpt":"Organisms that locomote by propagating waves of body bending can maintain performance across heterogeneous environments by modifying their gait frequency $\\omega$ or wavenumber $k$. We identify a unifying relationship between these parameters for overdamped undulatory swimmers (including nematodes, spermatozoa, and mm-scale fish) moving in diverse environmental rheologies, in the form of an active `dispersion relation' $\\omega\\propto k^{\\pm2}$. A model treating the organisms as actively driven viscoelastic beams reproduces the experimentally observed scaling. The relative strength of rate-depe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.13037","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.13037/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:10:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qy3uN7/WsEB24NqecEyZ4f+XjTn90M5BtTQeWawKchzYZNeF8NsDAnzAbFzMjEib2uQ2k/k7whlvEjJk4CuUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:34:40.557887Z"},"content_sha256":"9be98c2fa14e8d098a5558fedfd144f7b4ba34aa88329cea2ad754d664111e7e","schema_version":"1.0","event_id":"sha256:9be98c2fa14e8d098a5558fedfd144f7b4ba34aa88329cea2ad754d664111e7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MYLFG7APKVBLS2E2ESA3KVSJQH/bundle.json","state_url":"https://pith.science/pith/MYLFG7APKVBLS2E2ESA3KVSJQH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MYLFG7APKVBLS2E2ESA3KVSJQH/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":"2026-07-02T19:34:40Z","links":{"resolver":"https://pith.science/pith/MYLFG7APKVBLS2E2ESA3KVSJQH","bundle":"https://pith.science/pith/MYLFG7APKVBLS2E2ESA3KVSJQH/bundle.json","state":"https://pith.science/pith/MYLFG7APKVBLS2E2ESA3KVSJQH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MYLFG7APKVBLS2E2ESA3KVSJQH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MYLFG7APKVBLS2E2ESA3KVSJQH","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":"ded1e277e1c0dcb08b2ef205acebdb5f6f9bf92a735e91a7e6ad18d3c5802318","cross_cats_sorted":["q-bio.QM"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-07-17T22:07:44Z","title_canon_sha256":"46a0695f56f709e23108bc207c82fc448bd74043a86e65ba72723877fb60a37e"},"schema_version":"1.0","source":{"id":"2407.13037","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.13037","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"arxiv_version","alias_value":"2407.13037v2","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.13037","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"pith_short_12","alias_value":"MYLFG7APKVBL","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"pith_short_16","alias_value":"MYLFG7APKVBLS2E2","created_at":"2026-06-19T16:10:52Z"},{"alias_kind":"pith_short_8","alias_value":"MYLFG7AP","created_at":"2026-06-19T16:10:52Z"}],"graph_snapshots":[{"event_id":"sha256:9be98c2fa14e8d098a5558fedfd144f7b4ba34aa88329cea2ad754d664111e7e","target":"graph","created_at":"2026-06-19T16:10:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.13037/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Organisms that locomote by propagating waves of body bending can maintain performance across heterogeneous environments by modifying their gait frequency $\\omega$ or wavenumber $k$. We identify a unifying relationship between these parameters for overdamped undulatory swimmers (including nematodes, spermatozoa, and mm-scale fish) moving in diverse environmental rheologies, in the form of an active `dispersion relation' $\\omega\\propto k^{\\pm2}$. A model treating the organisms as actively driven viscoelastic beams reproduces the experimentally observed scaling. The relative strength of rate-depe","authors_text":"Christopher J. Pierce, Daniel I. Goldman, Daniel Irvine, Hang Lu, Lucinda Peng, Xuefei Lu","cross_cats":["q-bio.QM"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-07-17T22:07:44Z","title":"Dispersion Relations for Active Undulators in Overdamped Environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.13037","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:ec3297a419e0f0ae5a2f5242572ddd4644b4c92a38f769368a864fa843fb6a02","target":"record","created_at":"2026-06-19T16:10:52Z","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":"ded1e277e1c0dcb08b2ef205acebdb5f6f9bf92a735e91a7e6ad18d3c5802318","cross_cats_sorted":["q-bio.QM"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2024-07-17T22:07:44Z","title_canon_sha256":"46a0695f56f709e23108bc207c82fc448bd74043a86e65ba72723877fb60a37e"},"schema_version":"1.0","source":{"id":"2407.13037","kind":"arxiv","version":2}},"canonical_sha256":"6616537c0f5542b9689a2481b5564981c1c169e74308ebd15663b9dd639f82a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6616537c0f5542b9689a2481b5564981c1c169e74308ebd15663b9dd639f82a8","first_computed_at":"2026-06-19T16:10:52.779432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:52.779432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3U35levVPhOv8B3eC+P+z//5ehs1k9Xsq9O0IREtVMjl/XNKYaUr2Na3idfUvbPsdTDv2GjgnWqZjOsK6SLhBg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:52.779775Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.13037","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec3297a419e0f0ae5a2f5242572ddd4644b4c92a38f769368a864fa843fb6a02","sha256:9be98c2fa14e8d098a5558fedfd144f7b4ba34aa88329cea2ad754d664111e7e"],"state_sha256":"e110f3d52fae1c1ec242bb3ab7edb05350601adeeba1b28a3531592132ae25f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LNkHfpM1siok8KGcS96zYiHFuOciXhargZ9fZDu4HRMjPiflqppdXrvkzEp79CUEO4sHf2Tj2QxmtfibKkNoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T19:34:40.559873Z","bundle_sha256":"ec7667342b6dbffc3d4d91c5da99bf6bcaf17f5b6f70ea08309b9f2a6932c0aa"}}