{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BM3LXV3CAQKUFKEPIMJMSRRZSN","short_pith_number":"pith:BM3LXV3C","canonical_record":{"source":{"id":"1311.0060","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-10-31T23:06:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5fb2c42cf7709aa4dd56998a7a887884ff41c0881b10c3dc610f6fd61907bda4","abstract_canon_sha256":"885b47d79997c53593bddf2f131c21713fc3398dc83387563cff0af4186fa686"},"schema_version":"1.0"},"canonical_sha256":"0b36bbd762041542a88f4312c9463993506fa7614ea1679f3c67b92d2dab3488","source":{"kind":"arxiv","id":"1311.0060","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0060","created_at":"2026-05-18T02:30:22Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0060v4","created_at":"2026-05-18T02:30:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0060","created_at":"2026-05-18T02:30:22Z"},{"alias_kind":"pith_short_12","alias_value":"BM3LXV3CAQKU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BM3LXV3CAQKUFKEP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BM3LXV3C","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BM3LXV3CAQKUFKEPIMJMSRRZSN","target":"record","payload":{"canonical_record":{"source":{"id":"1311.0060","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-10-31T23:06:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5fb2c42cf7709aa4dd56998a7a887884ff41c0881b10c3dc610f6fd61907bda4","abstract_canon_sha256":"885b47d79997c53593bddf2f131c21713fc3398dc83387563cff0af4186fa686"},"schema_version":"1.0"},"canonical_sha256":"0b36bbd762041542a88f4312c9463993506fa7614ea1679f3c67b92d2dab3488","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:22.825027Z","signature_b64":"W25ABCXY2ykiqjLdr0MbWGh0OWgntyGPX8WloQlHYjNSL6k+TaqwwQ5EM4TmLqsF/DqxuhcibMdeGJpsyhxDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b36bbd762041542a88f4312c9463993506fa7614ea1679f3c67b92d2dab3488","last_reissued_at":"2026-05-18T02:30:22.824463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:22.824463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.0060","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":"2026-05-18T02:30:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qTcmgXmLhg5ItCMWQomtIYj6Pgt7W/i/HMvKvU3nSlziV3faLz7gDjU/j7Xd4B9ZVxT5NUo8feJ40arZqEf/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:31:57.606227Z"},"content_sha256":"94724a5c06928f63bcaec18655479d2df608eaa3bd7a4c0627b578f72994d9ef","schema_version":"1.0","event_id":"sha256:94724a5c06928f63bcaec18655479d2df608eaa3bd7a4c0627b578f72994d9ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BM3LXV3CAQKUFKEPIMJMSRRZSN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singularities of the discrete KdV equation and the Laurent property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Jun Mada, Masataka Kanki, Tetsuji Tokihiro","submitted_at":"2013-10-31T23:06:53Z","abstract_excerpt":"We study the distribution of singularities for partial difference equations, in particular, the bilinear and nonlinear form of the discrete version of the Korteweg-de Vries (dKdV) equation. By the Laurent property, the irreducibility, and the co-primeness of the terms of the bilinear dKdV equation, we clarify the relationship of these properties with the appearance of zeros in the time evolution. The results are applied to the nonlinear dKdV equation and we formulate the famous integrability criterion (singularity confinement test) for nonlinear partial difference equations with respect to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0060","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":""},"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":"2026-05-18T02:30:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IfadvXC3Wt0IMV9IFcj1XZkHG1lJOU5MIWEoR9FAsD2ouLZIYrOhWp14mmgn3xpXDcF/dJoFNphEOWzZofDxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:31:57.606606Z"},"content_sha256":"e3abb501ab7cd0ad223e017a08f0ff04ffeee918517b18ad14731f65fbac8b5c","schema_version":"1.0","event_id":"sha256:e3abb501ab7cd0ad223e017a08f0ff04ffeee918517b18ad14731f65fbac8b5c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BM3LXV3CAQKUFKEPIMJMSRRZSN/bundle.json","state_url":"https://pith.science/pith/BM3LXV3CAQKUFKEPIMJMSRRZSN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BM3LXV3CAQKUFKEPIMJMSRRZSN/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":"2026-06-08T11:31:57Z","links":{"resolver":"https://pith.science/pith/BM3LXV3CAQKUFKEPIMJMSRRZSN","bundle":"https://pith.science/pith/BM3LXV3CAQKUFKEPIMJMSRRZSN/bundle.json","state":"https://pith.science/pith/BM3LXV3CAQKUFKEPIMJMSRRZSN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BM3LXV3CAQKUFKEPIMJMSRRZSN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BM3LXV3CAQKUFKEPIMJMSRRZSN","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":"885b47d79997c53593bddf2f131c21713fc3398dc83387563cff0af4186fa686","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-10-31T23:06:53Z","title_canon_sha256":"5fb2c42cf7709aa4dd56998a7a887884ff41c0881b10c3dc610f6fd61907bda4"},"schema_version":"1.0","source":{"id":"1311.0060","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0060","created_at":"2026-05-18T02:30:22Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0060v4","created_at":"2026-05-18T02:30:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0060","created_at":"2026-05-18T02:30:22Z"},{"alias_kind":"pith_short_12","alias_value":"BM3LXV3CAQKU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BM3LXV3CAQKUFKEP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BM3LXV3C","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:e3abb501ab7cd0ad223e017a08f0ff04ffeee918517b18ad14731f65fbac8b5c","target":"graph","created_at":"2026-05-18T02:30:22Z","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 study the distribution of singularities for partial difference equations, in particular, the bilinear and nonlinear form of the discrete version of the Korteweg-de Vries (dKdV) equation. By the Laurent property, the irreducibility, and the co-primeness of the terms of the bilinear dKdV equation, we clarify the relationship of these properties with the appearance of zeros in the time evolution. The results are applied to the nonlinear dKdV equation and we formulate the famous integrability criterion (singularity confinement test) for nonlinear partial difference equations with respect to the","authors_text":"Jun Mada, Masataka Kanki, Tetsuji Tokihiro","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-10-31T23:06:53Z","title":"Singularities of the discrete KdV equation and the Laurent property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0060","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":"sha256:94724a5c06928f63bcaec18655479d2df608eaa3bd7a4c0627b578f72994d9ef","target":"record","created_at":"2026-05-18T02:30:22Z","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":"885b47d79997c53593bddf2f131c21713fc3398dc83387563cff0af4186fa686","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-10-31T23:06:53Z","title_canon_sha256":"5fb2c42cf7709aa4dd56998a7a887884ff41c0881b10c3dc610f6fd61907bda4"},"schema_version":"1.0","source":{"id":"1311.0060","kind":"arxiv","version":4}},"canonical_sha256":"0b36bbd762041542a88f4312c9463993506fa7614ea1679f3c67b92d2dab3488","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b36bbd762041542a88f4312c9463993506fa7614ea1679f3c67b92d2dab3488","first_computed_at":"2026-05-18T02:30:22.824463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:22.824463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W25ABCXY2ykiqjLdr0MbWGh0OWgntyGPX8WloQlHYjNSL6k+TaqwwQ5EM4TmLqsF/DqxuhcibMdeGJpsyhxDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:22.825027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0060","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94724a5c06928f63bcaec18655479d2df608eaa3bd7a4c0627b578f72994d9ef","sha256:e3abb501ab7cd0ad223e017a08f0ff04ffeee918517b18ad14731f65fbac8b5c"],"state_sha256":"bd5d13291af41938d78e8b058cc0b750fcdb272fc195d8032d7f4db3a7bd5573"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WxmEm5zRmnQQYJ2x77raMXTNl1zOTiHISxrnDyHEYz+03vcf4oiuClv26YdzxnfVtIJs7JePj58iAa8HanCCBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T11:31:57.608535Z","bundle_sha256":"9cf550a998b515d4cfe0b242cf1a00d171ea0083624b15837c784ebbbeb65e34"}}