{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XVAZLN5F5Q7XWTTFQQAM5ANF6C","short_pith_number":"pith:XVAZLN5F","canonical_record":{"source":{"id":"1811.03140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-11-07T20:54:11Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"46462d86583fb2bd28b713bbcfdb77c3df2a25bd9658b19ce350c9142a06a74a","abstract_canon_sha256":"8bf9051336d95c18524503e2aaaaee10aefb48f1ba3006f4fda181aa61e58da8"},"schema_version":"1.0"},"canonical_sha256":"bd4195b7a5ec3f7b4e658400ce81a5f080141e2b3e3a2efd34480e0468b2a851","source":{"kind":"arxiv","id":"1811.03140","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03140","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03140v1","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03140","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"pith_short_12","alias_value":"XVAZLN5F5Q7X","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XVAZLN5F5Q7XWTTF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XVAZLN5F","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XVAZLN5F5Q7XWTTFQQAM5ANF6C","target":"record","payload":{"canonical_record":{"source":{"id":"1811.03140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-11-07T20:54:11Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"46462d86583fb2bd28b713bbcfdb77c3df2a25bd9658b19ce350c9142a06a74a","abstract_canon_sha256":"8bf9051336d95c18524503e2aaaaee10aefb48f1ba3006f4fda181aa61e58da8"},"schema_version":"1.0"},"canonical_sha256":"bd4195b7a5ec3f7b4e658400ce81a5f080141e2b3e3a2efd34480e0468b2a851","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:50.264119Z","signature_b64":"onVmUeuAKKLeevgFtdndXU1oj7L4fut4iyxsWqXEbX25pO0XLUhBjOloIUTv6VwYWhFBJLWTBYNNuEPieqKOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd4195b7a5ec3f7b4e658400ce81a5f080141e2b3e3a2efd34480e0468b2a851","last_reissued_at":"2026-05-17T23:53:50.263403Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:50.263403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.03140","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":"2026-05-17T23:53:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2VtTThT9zi9f+V8CMQvZFvj4YPhxECfCbpERXbiJ2U1o8iGHEQQw1Z7AuQULk9fPJXr2LR1GATKtUr+9q5C3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:27:25.724719Z"},"content_sha256":"976a4af8332ee65720943c18728ab6dd3df4d040fe3d8c095f153083f3986a07","schema_version":"1.0","event_id":"sha256:976a4af8332ee65720943c18728ab6dd3df4d040fe3d8c095f153083f3986a07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XVAZLN5F5Q7XWTTFQQAM5ANF6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surface waves over currents and uneven bottom","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.flu-dyn","authors_text":"Alan C. Compelli, Calin I. Martin, Michail D. Todorov, Rossen I.Ivanov","submitted_at":"2018-11-07T20:54:11Z","abstract_excerpt":"The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom topography is taken into account since it also influences the local wave and current patterns. Specific scaling of the variables is selected which leads to approximations of Boussinesq and KdV types. The arising KdV equation with variable coefficients, dependent on the bottom topography, is studied numerically when the initial condition is in the form of the one soli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03140","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":"2026-05-17T23:53:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y5oNuOmQ3/4JDIrQOxrZJ3pDqDlMxjHAVBfJKw6QvRBc3IImRHk3i+dVv9Pw45tvStXXDAkWRgz7gNCJIyXpBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:27:25.725068Z"},"content_sha256":"59ec576d60f76cb83409e24a1b5737a05a9813bd8329e352ba760e1eab491aab","schema_version":"1.0","event_id":"sha256:59ec576d60f76cb83409e24a1b5737a05a9813bd8329e352ba760e1eab491aab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVAZLN5F5Q7XWTTFQQAM5ANF6C/bundle.json","state_url":"https://pith.science/pith/XVAZLN5F5Q7XWTTFQQAM5ANF6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVAZLN5F5Q7XWTTFQQAM5ANF6C/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":"2026-06-24T22:27:25Z","links":{"resolver":"https://pith.science/pith/XVAZLN5F5Q7XWTTFQQAM5ANF6C","bundle":"https://pith.science/pith/XVAZLN5F5Q7XWTTFQQAM5ANF6C/bundle.json","state":"https://pith.science/pith/XVAZLN5F5Q7XWTTFQQAM5ANF6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVAZLN5F5Q7XWTTFQQAM5ANF6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XVAZLN5F5Q7XWTTFQQAM5ANF6C","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":"8bf9051336d95c18524503e2aaaaee10aefb48f1ba3006f4fda181aa61e58da8","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-11-07T20:54:11Z","title_canon_sha256":"46462d86583fb2bd28b713bbcfdb77c3df2a25bd9658b19ce350c9142a06a74a"},"schema_version":"1.0","source":{"id":"1811.03140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03140","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03140v1","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03140","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"pith_short_12","alias_value":"XVAZLN5F5Q7X","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XVAZLN5F5Q7XWTTF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XVAZLN5F","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:59ec576d60f76cb83409e24a1b5737a05a9813bd8329e352ba760e1eab491aab","target":"graph","created_at":"2026-05-17T23:53:50Z","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":"The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom topography is taken into account since it also influences the local wave and current patterns. Specific scaling of the variables is selected which leads to approximations of Boussinesq and KdV types. The arising KdV equation with variable coefficients, dependent on the bottom topography, is studied numerically when the initial condition is in the form of the one soli","authors_text":"Alan C. Compelli, Calin I. Martin, Michail D. Todorov, Rossen I.Ivanov","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-11-07T20:54:11Z","title":"Surface waves over currents and uneven bottom"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03140","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":"sha256:976a4af8332ee65720943c18728ab6dd3df4d040fe3d8c095f153083f3986a07","target":"record","created_at":"2026-05-17T23:53:50Z","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":"8bf9051336d95c18524503e2aaaaee10aefb48f1ba3006f4fda181aa61e58da8","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-11-07T20:54:11Z","title_canon_sha256":"46462d86583fb2bd28b713bbcfdb77c3df2a25bd9658b19ce350c9142a06a74a"},"schema_version":"1.0","source":{"id":"1811.03140","kind":"arxiv","version":1}},"canonical_sha256":"bd4195b7a5ec3f7b4e658400ce81a5f080141e2b3e3a2efd34480e0468b2a851","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd4195b7a5ec3f7b4e658400ce81a5f080141e2b3e3a2efd34480e0468b2a851","first_computed_at":"2026-05-17T23:53:50.263403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:50.263403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"onVmUeuAKKLeevgFtdndXU1oj7L4fut4iyxsWqXEbX25pO0XLUhBjOloIUTv6VwYWhFBJLWTBYNNuEPieqKOCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:50.264119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.03140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:976a4af8332ee65720943c18728ab6dd3df4d040fe3d8c095f153083f3986a07","sha256:59ec576d60f76cb83409e24a1b5737a05a9813bd8329e352ba760e1eab491aab"],"state_sha256":"e8407593bbfd6b6affd13447ec1105e2d4985d15e65d1d3efe1b11cda0c14b29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/whHIQy0UqP15yNFVmoPT6OaROwaWP1lcUcR9vAx9BSbooXNTFZm7BR/MiD7bhiCkK/hYscVKsSKElzKSzNmCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:27:25.727128Z","bundle_sha256":"027f06972110d92a790d5e043981f47c1fce2b6c4a25368ec7d66b71f3f6201f"}}