{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UQ2QZN2UY3VODHHFUMOCE2GXBR","short_pith_number":"pith:UQ2QZN2U","canonical_record":{"source":{"id":"1304.5423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-19T14:09:28Z","cross_cats_sorted":["math.MP","physics.flu-dyn"],"title_canon_sha256":"a9933e5808408422c9f776c40401362292ecefe3f74900c38496d8c2f9a82879","abstract_canon_sha256":"56a5049a90033b68ed68e275b13169f4bc5bfd3675dc2c534eb5d6eb08f0e8ac"},"schema_version":"1.0"},"canonical_sha256":"a4350cb754c6eae19ce5a31c2268d70c7c4151af9f8beb651c9e0da0c3fac550","source":{"kind":"arxiv","id":"1304.5423","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5423","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5423v1","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5423","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"pith_short_12","alias_value":"UQ2QZN2UY3VO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UQ2QZN2UY3VODHHF","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UQ2QZN2U","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UQ2QZN2UY3VODHHFUMOCE2GXBR","target":"record","payload":{"canonical_record":{"source":{"id":"1304.5423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-19T14:09:28Z","cross_cats_sorted":["math.MP","physics.flu-dyn"],"title_canon_sha256":"a9933e5808408422c9f776c40401362292ecefe3f74900c38496d8c2f9a82879","abstract_canon_sha256":"56a5049a90033b68ed68e275b13169f4bc5bfd3675dc2c534eb5d6eb08f0e8ac"},"schema_version":"1.0"},"canonical_sha256":"a4350cb754c6eae19ce5a31c2268d70c7c4151af9f8beb651c9e0da0c3fac550","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:08.632386Z","signature_b64":"PC357A3WdKWvdsZ8Xy6NlImiXeBk9MM32IacnwWygcZLo4j1v0Q44SWZpct59o1Z/GnvnYtsWahpWkL7ioliAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4350cb754c6eae19ce5a31c2268d70c7c4151af9f8beb651c9e0da0c3fac550","last_reissued_at":"2026-05-18T01:30:08.631792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:08.631792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.5423","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":"2026-05-18T01:30:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i/WRCcKc0DPdr+rTkqV6dMD/aqcsCJw7dcKCtI1qjOv77Yy3Md8iOfTyMBbYVhlEB1fWXvxI6hOFX4u/RhcLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:56:21.499034Z"},"content_sha256":"63e2d4ecb2c537317e15de1d6b297663d6ff9630761e6e439ee83f9129e9c825","schema_version":"1.0","event_id":"sha256:63e2d4ecb2c537317e15de1d6b297663d6ff9630761e6e439ee83f9129e9c825"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UQ2QZN2UY3VODHHFUMOCE2GXBR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Waveless ships in the low speed limit: Results for multi-cornered hulls","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.flu-dyn"],"primary_cat":"math-ph","authors_text":"Philippe H. Trinh, S. Jonathan Chapman","submitted_at":"2013-04-19T14:09:28Z","abstract_excerpt":"In the low-speed limit, a blunt ship modeled as two-dimensional semi-infinite body with a single corner can never be made waveless. This was the conclusion of the previous part of our work in Trinh et al. (2011), which focused on the Dagan & Tulin (1972) model of ship waves in the low speed limit. In this accompanying paper, we continue our investigations with the study of more general, piecewise-linear, or multi-cornered ships. The low-speed or low-Froude limit, coupled with techniques in exponential asymptotics allows us to derive explicit formulae relating the geometry of the hull to the fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5423","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":"2026-05-18T01:30:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/FzDnstk/+p5uVEhpOwZ6OEKHcT30K8AX9UfxsM/gtZ5qoGhGRybVPOeuqqe7M1OyJA2AJba4cgBRiHqk4vDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:56:21.499396Z"},"content_sha256":"e300ac2f9baa82c12f87841ea64e82956bf678f5aece574605ef7263b565c756","schema_version":"1.0","event_id":"sha256:e300ac2f9baa82c12f87841ea64e82956bf678f5aece574605ef7263b565c756"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQ2QZN2UY3VODHHFUMOCE2GXBR/bundle.json","state_url":"https://pith.science/pith/UQ2QZN2UY3VODHHFUMOCE2GXBR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQ2QZN2UY3VODHHFUMOCE2GXBR/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":"2026-06-03T16:56:21Z","links":{"resolver":"https://pith.science/pith/UQ2QZN2UY3VODHHFUMOCE2GXBR","bundle":"https://pith.science/pith/UQ2QZN2UY3VODHHFUMOCE2GXBR/bundle.json","state":"https://pith.science/pith/UQ2QZN2UY3VODHHFUMOCE2GXBR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQ2QZN2UY3VODHHFUMOCE2GXBR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UQ2QZN2UY3VODHHFUMOCE2GXBR","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":"56a5049a90033b68ed68e275b13169f4bc5bfd3675dc2c534eb5d6eb08f0e8ac","cross_cats_sorted":["math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-19T14:09:28Z","title_canon_sha256":"a9933e5808408422c9f776c40401362292ecefe3f74900c38496d8c2f9a82879"},"schema_version":"1.0","source":{"id":"1304.5423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5423","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5423v1","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5423","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"pith_short_12","alias_value":"UQ2QZN2UY3VO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UQ2QZN2UY3VODHHF","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UQ2QZN2U","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:e300ac2f9baa82c12f87841ea64e82956bf678f5aece574605ef7263b565c756","target":"graph","created_at":"2026-05-18T01:30:08Z","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":"In the low-speed limit, a blunt ship modeled as two-dimensional semi-infinite body with a single corner can never be made waveless. This was the conclusion of the previous part of our work in Trinh et al. (2011), which focused on the Dagan & Tulin (1972) model of ship waves in the low speed limit. In this accompanying paper, we continue our investigations with the study of more general, piecewise-linear, or multi-cornered ships. The low-speed or low-Froude limit, coupled with techniques in exponential asymptotics allows us to derive explicit formulae relating the geometry of the hull to the fo","authors_text":"Philippe H. Trinh, S. Jonathan Chapman","cross_cats":["math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-19T14:09:28Z","title":"Waveless ships in the low speed limit: Results for multi-cornered hulls"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5423","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":"sha256:63e2d4ecb2c537317e15de1d6b297663d6ff9630761e6e439ee83f9129e9c825","target":"record","created_at":"2026-05-18T01:30:08Z","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":"56a5049a90033b68ed68e275b13169f4bc5bfd3675dc2c534eb5d6eb08f0e8ac","cross_cats_sorted":["math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-19T14:09:28Z","title_canon_sha256":"a9933e5808408422c9f776c40401362292ecefe3f74900c38496d8c2f9a82879"},"schema_version":"1.0","source":{"id":"1304.5423","kind":"arxiv","version":1}},"canonical_sha256":"a4350cb754c6eae19ce5a31c2268d70c7c4151af9f8beb651c9e0da0c3fac550","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4350cb754c6eae19ce5a31c2268d70c7c4151af9f8beb651c9e0da0c3fac550","first_computed_at":"2026-05-18T01:30:08.631792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:08.631792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PC357A3WdKWvdsZ8Xy6NlImiXeBk9MM32IacnwWygcZLo4j1v0Q44SWZpct59o1Z/GnvnYtsWahpWkL7ioliAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:08.632386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.5423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63e2d4ecb2c537317e15de1d6b297663d6ff9630761e6e439ee83f9129e9c825","sha256:e300ac2f9baa82c12f87841ea64e82956bf678f5aece574605ef7263b565c756"],"state_sha256":"95e5bf82d3876468f6a26fe6627381b43fbf697d4e6583de41a8ce210a166b2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ZVoEfUNaw+twn3SxOuhRUDrNynZxEuHvtn1Sv6D087QCjmzX4PMl+qUNmULjen18tTpHAfN7XDPYfXbyzgTBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:56:21.502144Z","bundle_sha256":"ba3376e7b104354b02935258fb0841a1cb851b6b8d5dcaeab0fd18fe5f300196"}}