{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ERLUBNKBZOZFLE55V2SS5XPL43","short_pith_number":"pith:ERLUBNKB","canonical_record":{"source":{"id":"1107.1148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-07-06T14:56:23Z","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"title_canon_sha256":"c8140eeadca10880e7bd18940714595a29216e7e429222bf79154ababea25795","abstract_canon_sha256":"6747523e577965cab2d7f895205082629af0973b05edb15327f9481af3fba9c5"},"schema_version":"1.0"},"canonical_sha256":"245740b541cbb25593bdaea52eddebe6f0c75fd122be441e68972a24b387d23c","source":{"kind":"arxiv","id":"1107.1148","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1148","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1148v1","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1148","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"pith_short_12","alias_value":"ERLUBNKBZOZF","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERLUBNKBZOZFLE55","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERLUBNKB","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ERLUBNKBZOZFLE55V2SS5XPL43","target":"record","payload":{"canonical_record":{"source":{"id":"1107.1148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-07-06T14:56:23Z","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"title_canon_sha256":"c8140eeadca10880e7bd18940714595a29216e7e429222bf79154ababea25795","abstract_canon_sha256":"6747523e577965cab2d7f895205082629af0973b05edb15327f9481af3fba9c5"},"schema_version":"1.0"},"canonical_sha256":"245740b541cbb25593bdaea52eddebe6f0c75fd122be441e68972a24b387d23c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:22.454399Z","signature_b64":"dudiG8FXsrdMde9b8MSX4+rKqzdj+/0JaHWqonVL+c4qdRokD46BGMrmsy5dUvq6KrbodrIOZBc2k5MFuDxxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"245740b541cbb25593bdaea52eddebe6f0c75fd122be441e68972a24b387d23c","last_reissued_at":"2026-05-18T02:01:22.453573Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:22.453573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.1148","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":"2026-05-18T02:01:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HcPu+s7sjkm8nIupbeBuoQntqZ+CIiXhhkWTnj4Dd9dtBRGYEmhE2kFbTwP3ccnuHKsPek3VGzlGgUhbisOtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:53:00.105475Z"},"content_sha256":"cc7b25b8b13ede6b3b5b329cbf0bae5cb0a90ec3522a60a0539097d5c37dc3fc","schema_version":"1.0","event_id":"sha256:cc7b25b8b13ede6b3b5b329cbf0bae5cb0a90ec3522a60a0539097d5c37dc3fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ERLUBNKBZOZFLE55V2SS5XPL43","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Integrable Systems and Hodograph Transformations Arising from Motions of Discrete Plane Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Bao-feng Feng, Jun-ichi Inoguchi, Ken-ichi Maruno, Kenji Kajiwara, Yasuhiro Ohta","submitted_at":"2011-07-06T14:56:23Z","abstract_excerpt":"We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and the short pulse equation. They are related to the modified KdV or the sine-Gordon equations by the hodograph transformations. Based on the observation that the hodograph transformations are regarded as the Euler-Lagrange transformations of the curve motions, we construct the discrete analogues of the hodograph transformations, which yield integrable discretizations of those soliton equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1148","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":"2026-05-18T02:01:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7o7TaUFQdaFiClJcV17wAD5iNjQmxeXg1PXitP2agwQ/Yu+0FmFEDHipYmiX7Lmj+ltVqQagVWLV3IsqhOo7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:53:00.105830Z"},"content_sha256":"f6d37a6603ddda2be3e09091b118328039457ed43b979c6e4a2b0fe0eb26089e","schema_version":"1.0","event_id":"sha256:f6d37a6603ddda2be3e09091b118328039457ed43b979c6e4a2b0fe0eb26089e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ERLUBNKBZOZFLE55V2SS5XPL43/bundle.json","state_url":"https://pith.science/pith/ERLUBNKBZOZFLE55V2SS5XPL43/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ERLUBNKBZOZFLE55V2SS5XPL43/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":"2026-06-08T09:53:00Z","links":{"resolver":"https://pith.science/pith/ERLUBNKBZOZFLE55V2SS5XPL43","bundle":"https://pith.science/pith/ERLUBNKBZOZFLE55V2SS5XPL43/bundle.json","state":"https://pith.science/pith/ERLUBNKBZOZFLE55V2SS5XPL43/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ERLUBNKBZOZFLE55V2SS5XPL43/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ERLUBNKBZOZFLE55V2SS5XPL43","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":"6747523e577965cab2d7f895205082629af0973b05edb15327f9481af3fba9c5","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-07-06T14:56:23Z","title_canon_sha256":"c8140eeadca10880e7bd18940714595a29216e7e429222bf79154ababea25795"},"schema_version":"1.0","source":{"id":"1107.1148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1148","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1148v1","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1148","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"pith_short_12","alias_value":"ERLUBNKBZOZF","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERLUBNKBZOZFLE55","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERLUBNKB","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:f6d37a6603ddda2be3e09091b118328039457ed43b979c6e4a2b0fe0eb26089e","target":"graph","created_at":"2026-05-18T02:01:22Z","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":"We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and the short pulse equation. They are related to the modified KdV or the sine-Gordon equations by the hodograph transformations. Based on the observation that the hodograph transformations are regarded as the Euler-Lagrange transformations of the curve motions, we construct the discrete analogues of the hodograph transformations, which yield integrable discretizations of those soliton equations.","authors_text":"Bao-feng Feng, Jun-ichi Inoguchi, Ken-ichi Maruno, Kenji Kajiwara, Yasuhiro Ohta","cross_cats":["math-ph","math.MP","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-07-06T14:56:23Z","title":"Discrete Integrable Systems and Hodograph Transformations Arising from Motions of Discrete Plane Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1148","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:cc7b25b8b13ede6b3b5b329cbf0bae5cb0a90ec3522a60a0539097d5c37dc3fc","target":"record","created_at":"2026-05-18T02:01:22Z","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":"6747523e577965cab2d7f895205082629af0973b05edb15327f9481af3fba9c5","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-07-06T14:56:23Z","title_canon_sha256":"c8140eeadca10880e7bd18940714595a29216e7e429222bf79154ababea25795"},"schema_version":"1.0","source":{"id":"1107.1148","kind":"arxiv","version":1}},"canonical_sha256":"245740b541cbb25593bdaea52eddebe6f0c75fd122be441e68972a24b387d23c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"245740b541cbb25593bdaea52eddebe6f0c75fd122be441e68972a24b387d23c","first_computed_at":"2026-05-18T02:01:22.453573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:22.453573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dudiG8FXsrdMde9b8MSX4+rKqzdj+/0JaHWqonVL+c4qdRokD46BGMrmsy5dUvq6KrbodrIOZBc2k5MFuDxxDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:22.454399Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc7b25b8b13ede6b3b5b329cbf0bae5cb0a90ec3522a60a0539097d5c37dc3fc","sha256:f6d37a6603ddda2be3e09091b118328039457ed43b979c6e4a2b0fe0eb26089e"],"state_sha256":"b83aaab59b999aadc598dd570e1738b087ee4f6ee9afeeed3a2ebb68ceefe0b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J6c14yOhAgZoHDxNL+76GlATIEnpmEgmRu+jg/CzAYWr+pG1sBbaOGqYnCii0OZflfcK4IrFif5rOLqyFxl5Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T09:53:00.107813Z","bundle_sha256":"584f2806b304d72c897c95a7a205d1bfcbbc2867979e1b912c95181bd2bdc828"}}