{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ERFPTYLV6KRMBATRVENHFDMF2G","short_pith_number":"pith:ERFPTYLV","canonical_record":{"source":{"id":"1403.1045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-05T09:02:05Z","cross_cats_sorted":[],"title_canon_sha256":"fe03382399686bae4e2b32ca4f321693514b78931ed8fea9ae35e3f4fc3eeaf1","abstract_canon_sha256":"7db9c8ffc4af8db390a38e53a7a0819145f82e4e714e24b21ae7f8d078013201"},"schema_version":"1.0"},"canonical_sha256":"244af9e175f2a2c08271a91a728d85d1ab948f512d1b2ac50da5d27bc4b993f6","source":{"kind":"arxiv","id":"1403.1045","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1045","created_at":"2026-05-18T02:57:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1045v1","created_at":"2026-05-18T02:57:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1045","created_at":"2026-05-18T02:57:05Z"},{"alias_kind":"pith_short_12","alias_value":"ERFPTYLV6KRM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERFPTYLV6KRMBATR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERFPTYLV","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ERFPTYLV6KRMBATRVENHFDMF2G","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-05T09:02:05Z","cross_cats_sorted":[],"title_canon_sha256":"fe03382399686bae4e2b32ca4f321693514b78931ed8fea9ae35e3f4fc3eeaf1","abstract_canon_sha256":"7db9c8ffc4af8db390a38e53a7a0819145f82e4e714e24b21ae7f8d078013201"},"schema_version":"1.0"},"canonical_sha256":"244af9e175f2a2c08271a91a728d85d1ab948f512d1b2ac50da5d27bc4b993f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:05.883705Z","signature_b64":"OWvjKaMdOBnP6xaRmh1ylVW8OdO7gwswfbBg4W2yTGM4q2JEy9hodmOgpluGGS1X/QYbhmaInOhywpWjoFekCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"244af9e175f2a2c08271a91a728d85d1ab948f512d1b2ac50da5d27bc4b993f6","last_reissued_at":"2026-05-18T02:57:05.883214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:05.883214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1045","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":"2026-05-18T02:57:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACpGy4+xOooC3yD6seYqmPcxUpLUMQ/lyYSirS2mRFhqtHrRjpxYv20t+hvJY5GQFau5IiuGoYigx1+Ybp21Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T15:19:27.430132Z"},"content_sha256":"13b0d9b6680f362d7de483b6cb7df631cec079907db9fe301413d3044cb91ade","schema_version":"1.0","event_id":"sha256:13b0d9b6680f362d7de483b6cb7df631cec079907db9fe301413d3044cb91ade"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ERFPTYLV6KRMBATRVENHFDMF2G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The hydraulic bump: The surface signature of a plunging jet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"John W.M. Bush, Matthieu Labousse","submitted_at":"2014-03-05T09:02:05Z","abstract_excerpt":"When a falling jet of fluid strikes a horizontal fluid layer, a hydraulic jump arises downstream of the point of impact provided a critical flow rate is exceeded. We here examine a phenomenon that arises below this jump threshold, a circular deflection of relatively small amplitude on the free surface, that we call the hydraulic bump. The form of the circular bump can be simply understood in terms of the underlying vortex structure and its height simply deduced with Bernoulli arguments. As the incoming flux increases, a breaking of axial symmetry leads to polygonal hydraulic bumps. The relatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1045","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:57:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ColGd0fJ7ZwIgVccBUZXSENrxcsdkn7N4cf7iHNvQzfZa/UWtykMENOsqpnq0X9nJWOY+YycL9Z4n4IMzVbBAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T15:19:27.430490Z"},"content_sha256":"de69ab00380f48ac0740cda40febb8683f3ee043c5e9bb01676f06ab8176cda2","schema_version":"1.0","event_id":"sha256:de69ab00380f48ac0740cda40febb8683f3ee043c5e9bb01676f06ab8176cda2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ERFPTYLV6KRMBATRVENHFDMF2G/bundle.json","state_url":"https://pith.science/pith/ERFPTYLV6KRMBATRVENHFDMF2G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ERFPTYLV6KRMBATRVENHFDMF2G/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":"2026-05-20T15:19:27Z","links":{"resolver":"https://pith.science/pith/ERFPTYLV6KRMBATRVENHFDMF2G","bundle":"https://pith.science/pith/ERFPTYLV6KRMBATRVENHFDMF2G/bundle.json","state":"https://pith.science/pith/ERFPTYLV6KRMBATRVENHFDMF2G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ERFPTYLV6KRMBATRVENHFDMF2G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ERFPTYLV6KRMBATRVENHFDMF2G","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":"7db9c8ffc4af8db390a38e53a7a0819145f82e4e714e24b21ae7f8d078013201","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-05T09:02:05Z","title_canon_sha256":"fe03382399686bae4e2b32ca4f321693514b78931ed8fea9ae35e3f4fc3eeaf1"},"schema_version":"1.0","source":{"id":"1403.1045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1045","created_at":"2026-05-18T02:57:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1045v1","created_at":"2026-05-18T02:57:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1045","created_at":"2026-05-18T02:57:05Z"},{"alias_kind":"pith_short_12","alias_value":"ERFPTYLV6KRM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERFPTYLV6KRMBATR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERFPTYLV","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:de69ab00380f48ac0740cda40febb8683f3ee043c5e9bb01676f06ab8176cda2","target":"graph","created_at":"2026-05-18T02:57:05Z","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":"When a falling jet of fluid strikes a horizontal fluid layer, a hydraulic jump arises downstream of the point of impact provided a critical flow rate is exceeded. We here examine a phenomenon that arises below this jump threshold, a circular deflection of relatively small amplitude on the free surface, that we call the hydraulic bump. The form of the circular bump can be simply understood in terms of the underlying vortex structure and its height simply deduced with Bernoulli arguments. As the incoming flux increases, a breaking of axial symmetry leads to polygonal hydraulic bumps. The relatio","authors_text":"John W.M. Bush, Matthieu Labousse","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-05T09:02:05Z","title":"The hydraulic bump: The surface signature of a plunging jet"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1045","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":"sha256:13b0d9b6680f362d7de483b6cb7df631cec079907db9fe301413d3044cb91ade","target":"record","created_at":"2026-05-18T02:57:05Z","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":"7db9c8ffc4af8db390a38e53a7a0819145f82e4e714e24b21ae7f8d078013201","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-05T09:02:05Z","title_canon_sha256":"fe03382399686bae4e2b32ca4f321693514b78931ed8fea9ae35e3f4fc3eeaf1"},"schema_version":"1.0","source":{"id":"1403.1045","kind":"arxiv","version":1}},"canonical_sha256":"244af9e175f2a2c08271a91a728d85d1ab948f512d1b2ac50da5d27bc4b993f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"244af9e175f2a2c08271a91a728d85d1ab948f512d1b2ac50da5d27bc4b993f6","first_computed_at":"2026-05-18T02:57:05.883214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:05.883214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OWvjKaMdOBnP6xaRmh1ylVW8OdO7gwswfbBg4W2yTGM4q2JEy9hodmOgpluGGS1X/QYbhmaInOhywpWjoFekCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:05.883705Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13b0d9b6680f362d7de483b6cb7df631cec079907db9fe301413d3044cb91ade","sha256:de69ab00380f48ac0740cda40febb8683f3ee043c5e9bb01676f06ab8176cda2"],"state_sha256":"88c74e7d4a9b5fe002bb86b10dc36af695d8481da738c29fdca0ba63c53776e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4HRNL7ztrBe/D/ATBlUfBbfx6NkjEZBG013DfXlugCIdY3Ri9EQwbmwUYsziMfyDwP7NxGWGDqBCeEGe5qORCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T15:19:27.432445Z","bundle_sha256":"abc912d7295ce72bdbddb72d5db01b91bbff61472aeca24f020131edb48c5ed2"}}