{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:MJJIPJ322WVTFKRSWRXSAAILKQ","short_pith_number":"pith:MJJIPJ32","canonical_record":{"source":{"id":"physics/0508215","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2005-08-30T18:11:17Z","cross_cats_sorted":["cond-mat.soft","gr-qc","hep-ph","physics.gen-ph"],"title_canon_sha256":"7466d29e0e766c7d165ddc2ac8060496ee36de4ac69cf1d1a0a79e64253ce59b","abstract_canon_sha256":"4657a55838199a598b33b12cfe6d28a4745c7aea0ca5cae1232a305b07335928"},"schema_version":"1.0"},"canonical_sha256":"625287a77ad5ab32aa32b46f20010b540aa9cdb9194782e9bd6f32c1d259c599","source":{"kind":"arxiv","id":"physics/0508215","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0508215","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0508215v4","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0508215","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"pith_short_12","alias_value":"MJJIPJ322WVT","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"pith_short_16","alias_value":"MJJIPJ322WVTFKRS","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"pith_short_8","alias_value":"MJJIPJ32","created_at":"2026-07-04T16:57:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:MJJIPJ322WVTFKRSWRXSAAILKQ","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0508215","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2005-08-30T18:11:17Z","cross_cats_sorted":["cond-mat.soft","gr-qc","hep-ph","physics.gen-ph"],"title_canon_sha256":"7466d29e0e766c7d165ddc2ac8060496ee36de4ac69cf1d1a0a79e64253ce59b","abstract_canon_sha256":"4657a55838199a598b33b12cfe6d28a4745c7aea0ca5cae1232a305b07335928"},"schema_version":"1.0"},"canonical_sha256":"625287a77ad5ab32aa32b46f20010b540aa9cdb9194782e9bd6f32c1d259c599","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:57:18.591630Z","signature_b64":"Lr1x3SDsU7T5vTHGe/gmJ31tc3LeB7IpvJ/3hR4R1FULzK+aDg1/+HeI9nen9DPTFNdo1FQ39V0ANa8vWDqwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"625287a77ad5ab32aa32b46f20010b540aa9cdb9194782e9bd6f32c1d259c599","last_reissued_at":"2026-07-04T16:57:18.591288Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:57:18.591288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0508215","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:57:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nuflg2RFzj3XRbag0OTrxjNALUh2MSroD7PV5CSkWcOJ0IWEUsDTVoc4ZXtWf5ZPGttIWqxmOoM+mgtKrseLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T17:28:12.732702Z"},"content_sha256":"68f5de0aa14177804a7b16041caac57f697d582b80c53854c8f5fb5597bb1e4a","schema_version":"1.0","event_id":"sha256:68f5de0aa14177804a7b16041caac57f697d582b80c53854c8f5fb5597bb1e4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:MJJIPJ322WVTFKRSWRXSAAILKQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The hydraulic jump as a white hole","license":"","headline":"","cross_cats":["cond-mat.soft","gr-qc","hep-ph","physics.gen-ph"],"primary_cat":"physics.flu-dyn","authors_text":"G.E. Volovik","submitted_at":"2005-08-30T18:11:17Z","abstract_excerpt":"In the geometry of the circular hydraulic jump, the velocity of the liquid in the interior region exceeds the speed of capillary-gravity waves (ripplons), whose spectrum is `relativistic' in the shallow water limit. The velocity flow is radial and outward, and thus the relativistic ripplons cannot propagating into the interior region. In terms of the effective 2+1 dimensional Painleve-Gullstrand metric appropriate for the propagating ripplons, the interior region imitates the white hole. The hydraulic jump represents the physical singularity at the white-hole horizon. The instability of the va"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0508215","kind":"arxiv","version":4},"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/physics/0508215/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":"2026-07-04T16:57:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GCx/sRTiSGpt0E79EZlgfJtU5jkHGUvU8cRrysP4mF74kEPYt29RNr5QM5kpo4zZROUBMO7OkJWVrfSsNJUbDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T17:28:12.733080Z"},"content_sha256":"e52eccb406c3fe9a914b7758bcfef469b62476474ca81461b7cce009134f6f92","schema_version":"1.0","event_id":"sha256:e52eccb406c3fe9a914b7758bcfef469b62476474ca81461b7cce009134f6f92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MJJIPJ322WVTFKRSWRXSAAILKQ/bundle.json","state_url":"https://pith.science/pith/MJJIPJ322WVTFKRSWRXSAAILKQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MJJIPJ322WVTFKRSWRXSAAILKQ/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":"2026-07-17T17:28:12Z","links":{"resolver":"https://pith.science/pith/MJJIPJ322WVTFKRSWRXSAAILKQ","bundle":"https://pith.science/pith/MJJIPJ322WVTFKRSWRXSAAILKQ/bundle.json","state":"https://pith.science/pith/MJJIPJ322WVTFKRSWRXSAAILKQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MJJIPJ322WVTFKRSWRXSAAILKQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:MJJIPJ322WVTFKRSWRXSAAILKQ","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":"4657a55838199a598b33b12cfe6d28a4745c7aea0ca5cae1232a305b07335928","cross_cats_sorted":["cond-mat.soft","gr-qc","hep-ph","physics.gen-ph"],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2005-08-30T18:11:17Z","title_canon_sha256":"7466d29e0e766c7d165ddc2ac8060496ee36de4ac69cf1d1a0a79e64253ce59b"},"schema_version":"1.0","source":{"id":"physics/0508215","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0508215","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0508215v4","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0508215","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"pith_short_12","alias_value":"MJJIPJ322WVT","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"pith_short_16","alias_value":"MJJIPJ322WVTFKRS","created_at":"2026-07-04T16:57:18Z"},{"alias_kind":"pith_short_8","alias_value":"MJJIPJ32","created_at":"2026-07-04T16:57:18Z"}],"graph_snapshots":[{"event_id":"sha256:e52eccb406c3fe9a914b7758bcfef469b62476474ca81461b7cce009134f6f92","target":"graph","created_at":"2026-07-04T16:57:18Z","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/physics/0508215/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the geometry of the circular hydraulic jump, the velocity of the liquid in the interior region exceeds the speed of capillary-gravity waves (ripplons), whose spectrum is `relativistic' in the shallow water limit. The velocity flow is radial and outward, and thus the relativistic ripplons cannot propagating into the interior region. In terms of the effective 2+1 dimensional Painleve-Gullstrand metric appropriate for the propagating ripplons, the interior region imitates the white hole. The hydraulic jump represents the physical singularity at the white-hole horizon. The instability of the va","authors_text":"G.E. Volovik","cross_cats":["cond-mat.soft","gr-qc","hep-ph","physics.gen-ph"],"headline":"","license":"","primary_cat":"physics.flu-dyn","submitted_at":"2005-08-30T18:11:17Z","title":"The hydraulic jump as a white hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0508215","kind":"arxiv","version":4},"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":"sha256:68f5de0aa14177804a7b16041caac57f697d582b80c53854c8f5fb5597bb1e4a","target":"record","created_at":"2026-07-04T16:57:18Z","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":"4657a55838199a598b33b12cfe6d28a4745c7aea0ca5cae1232a305b07335928","cross_cats_sorted":["cond-mat.soft","gr-qc","hep-ph","physics.gen-ph"],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2005-08-30T18:11:17Z","title_canon_sha256":"7466d29e0e766c7d165ddc2ac8060496ee36de4ac69cf1d1a0a79e64253ce59b"},"schema_version":"1.0","source":{"id":"physics/0508215","kind":"arxiv","version":4}},"canonical_sha256":"625287a77ad5ab32aa32b46f20010b540aa9cdb9194782e9bd6f32c1d259c599","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"625287a77ad5ab32aa32b46f20010b540aa9cdb9194782e9bd6f32c1d259c599","first_computed_at":"2026-07-04T16:57:18.591288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:57:18.591288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lr1x3SDsU7T5vTHGe/gmJ31tc3LeB7IpvJ/3hR4R1FULzK+aDg1/+HeI9nen9DPTFNdo1FQ39V0ANa8vWDqwDw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:57:18.591630Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0508215","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68f5de0aa14177804a7b16041caac57f697d582b80c53854c8f5fb5597bb1e4a","sha256:e52eccb406c3fe9a914b7758bcfef469b62476474ca81461b7cce009134f6f92"],"state_sha256":"0772aa907636ed9efd0892f7976137c6b261f7722c24f3f06580d73fb33cc531"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZvqIabzg7ReD94AuQyVtzffxOWaPUTCqo+Mmk9hJ7gzcHql7eOxXSJE9mJOtFlegJj9m/GiDG0O4mzg8zdXLCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T17:28:12.735796Z","bundle_sha256":"acea7a708b3662d3f888251da5742365ae7293e0d3d70ee73f49d4832f31ff47"}}