{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:QJ5CBSOFULNBGFQVIDK3B5WMZ3","short_pith_number":"pith:QJ5CBSOF","canonical_record":{"source":{"id":"2506.00761","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-01T00:19:20Z","cross_cats_sorted":[],"title_canon_sha256":"a534e472da61c453ed595df2f6ac540a627cc9976e381c8c37e4145154694070","abstract_canon_sha256":"67d1711f91f669ac62c7b6efcfbae505b9b95dc187248be71f876656d9134687"},"schema_version":"1.0"},"canonical_sha256":"827a20c9c5a2da13161540d5b0f6cccee2662dcc1f96067ad7dcfd7243db12d3","source":{"kind":"arxiv","id":"2506.00761","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00761","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00761v1","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00761","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"pith_short_12","alias_value":"QJ5CBSOFULNB","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"pith_short_16","alias_value":"QJ5CBSOFULNBGFQV","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"pith_short_8","alias_value":"QJ5CBSOF","created_at":"2026-07-05T11:13:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:QJ5CBSOFULNBGFQVIDK3B5WMZ3","target":"record","payload":{"canonical_record":{"source":{"id":"2506.00761","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-01T00:19:20Z","cross_cats_sorted":[],"title_canon_sha256":"a534e472da61c453ed595df2f6ac540a627cc9976e381c8c37e4145154694070","abstract_canon_sha256":"67d1711f91f669ac62c7b6efcfbae505b9b95dc187248be71f876656d9134687"},"schema_version":"1.0"},"canonical_sha256":"827a20c9c5a2da13161540d5b0f6cccee2662dcc1f96067ad7dcfd7243db12d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:13:40.046579Z","signature_b64":"0PhPnP+Fkf9IdqVdZtYkPCyAsnb3XOkCoy07zciFZ4Q8FWc8dkM3Zi+QiipKv6my5j2/Me4BQmEVzGNwKd3wAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"827a20c9c5a2da13161540d5b0f6cccee2662dcc1f96067ad7dcfd7243db12d3","last_reissued_at":"2026-07-05T11:13:40.046152Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:13:40.046152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.00761","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:13:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eCtPhp/O0GhvWH6AthZHZNnSxrCAZbQbM2LRbjvDW9f40j2jtNzsWmccopVVq3vO30Ogfj9qDrKNoWPglefRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T00:35:15.092075Z"},"content_sha256":"1427507c76b261c09bb95572b9a4a1b281a9ae76facdc8f4bcfcea3fac4b9b29","schema_version":"1.0","event_id":"sha256:1427507c76b261c09bb95572b9a4a1b281a9ae76facdc8f4bcfcea3fac4b9b29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:QJ5CBSOFULNBGFQVIDK3B5WMZ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the oscillatory dynamics of a Saffman--Taylor finger with a bubble at its tip","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Andrew L. Hazel, Anne Juel, Jack Lawless","submitted_at":"2025-06-01T00:19:20Z","abstract_excerpt":"The complex behaviour of air-liquid interfaces driven into Hele-Shaw channels at high speeds could arise from oscillatory dynamics; yet, both the physical and dynamical mechanisms that lead to interfacial oscillations remain unclear.\n  We extend the experiments by Couder \\textit{et. al.} (\\textit{Phys. Rev. A}, vol. 34, 1986, p. 5175) to present a systematic investigation of the dynamics that result when a small air bubble is placed at the tip of a steadily propagating air finger in a Hele-Shaw channel. The system can exhibit steady and oscillatory behaviour, and we show that these different b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00761","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/2506.00761/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":"2026-07-05T11:13:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJ6l/PPKHdyI2BmP1uEWUlnvuHGh2iycv8d1tZ6Vbg5/sdpH6GsvPEZVCPWejw9M99ThuR4drqJhm2crS7HUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T00:35:15.092600Z"},"content_sha256":"b1ac2048592f7be9c859bc347933b382b8452cd9973879b72217689609c88fe6","schema_version":"1.0","event_id":"sha256:b1ac2048592f7be9c859bc347933b382b8452cd9973879b72217689609c88fe6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJ5CBSOFULNBGFQVIDK3B5WMZ3/bundle.json","state_url":"https://pith.science/pith/QJ5CBSOFULNBGFQVIDK3B5WMZ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJ5CBSOFULNBGFQVIDK3B5WMZ3/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":"2026-08-08T00:35:15Z","links":{"resolver":"https://pith.science/pith/QJ5CBSOFULNBGFQVIDK3B5WMZ3","bundle":"https://pith.science/pith/QJ5CBSOFULNBGFQVIDK3B5WMZ3/bundle.json","state":"https://pith.science/pith/QJ5CBSOFULNBGFQVIDK3B5WMZ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJ5CBSOFULNBGFQVIDK3B5WMZ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QJ5CBSOFULNBGFQVIDK3B5WMZ3","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":"67d1711f91f669ac62c7b6efcfbae505b9b95dc187248be71f876656d9134687","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-01T00:19:20Z","title_canon_sha256":"a534e472da61c453ed595df2f6ac540a627cc9976e381c8c37e4145154694070"},"schema_version":"1.0","source":{"id":"2506.00761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00761","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00761v1","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00761","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"pith_short_12","alias_value":"QJ5CBSOFULNB","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"pith_short_16","alias_value":"QJ5CBSOFULNBGFQV","created_at":"2026-07-05T11:13:40Z"},{"alias_kind":"pith_short_8","alias_value":"QJ5CBSOF","created_at":"2026-07-05T11:13:40Z"}],"graph_snapshots":[{"event_id":"sha256:b1ac2048592f7be9c859bc347933b382b8452cd9973879b72217689609c88fe6","target":"graph","created_at":"2026-07-05T11:13:40Z","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/2506.00761/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The complex behaviour of air-liquid interfaces driven into Hele-Shaw channels at high speeds could arise from oscillatory dynamics; yet, both the physical and dynamical mechanisms that lead to interfacial oscillations remain unclear.\n  We extend the experiments by Couder \\textit{et. al.} (\\textit{Phys. Rev. A}, vol. 34, 1986, p. 5175) to present a systematic investigation of the dynamics that result when a small air bubble is placed at the tip of a steadily propagating air finger in a Hele-Shaw channel. The system can exhibit steady and oscillatory behaviour, and we show that these different b","authors_text":"Andrew L. Hazel, Anne Juel, Jack Lawless","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-01T00:19:20Z","title":"On the oscillatory dynamics of a Saffman--Taylor finger with a bubble at its tip"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00761","kind":"arxiv","version":1},"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":"sha256:1427507c76b261c09bb95572b9a4a1b281a9ae76facdc8f4bcfcea3fac4b9b29","target":"record","created_at":"2026-07-05T11:13:40Z","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":"67d1711f91f669ac62c7b6efcfbae505b9b95dc187248be71f876656d9134687","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-01T00:19:20Z","title_canon_sha256":"a534e472da61c453ed595df2f6ac540a627cc9976e381c8c37e4145154694070"},"schema_version":"1.0","source":{"id":"2506.00761","kind":"arxiv","version":1}},"canonical_sha256":"827a20c9c5a2da13161540d5b0f6cccee2662dcc1f96067ad7dcfd7243db12d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"827a20c9c5a2da13161540d5b0f6cccee2662dcc1f96067ad7dcfd7243db12d3","first_computed_at":"2026-07-05T11:13:40.046152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:40.046152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0PhPnP+Fkf9IdqVdZtYkPCyAsnb3XOkCoy07zciFZ4Q8FWc8dkM3Zi+QiipKv6my5j2/Me4BQmEVzGNwKd3wAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:40.046579Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.00761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1427507c76b261c09bb95572b9a4a1b281a9ae76facdc8f4bcfcea3fac4b9b29","sha256:b1ac2048592f7be9c859bc347933b382b8452cd9973879b72217689609c88fe6"],"state_sha256":"2cd7f3017c1b2962aff9e6a1066f6329b6c7eb794b53e53a93f2cee2117fe207"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AFJsslKVUEXAJmLbCoCzx5tl1yOuF1Dyih3n6MO6V768VfPEjWYD38saCV7oI3TC8I/i5zsOde7lbzEpc3JHAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T00:35:15.097218Z","bundle_sha256":"ec81b67cf76a34241458cb5f960227228d6b5ffcfb74f333a9952ad5ab41b900"}}