{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YAO2AQ5FATDAS73OMS3VELRJSL","short_pith_number":"pith:YAO2AQ5F","canonical_record":{"source":{"id":"1205.1343","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-05-07T10:56:25Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"6e53f95199f2684efa6a00ad1614f704aa640069b7405257f245783ba5bb973a","abstract_canon_sha256":"391605934dd738e638072b0aaa892a5464cd6ed82068011e7dfe0b7376c04fb2"},"schema_version":"1.0"},"canonical_sha256":"c01da043a504c6097f6e64b7522e2992f376a6a662cdb617845c88eb273c9b65","source":{"kind":"arxiv","id":"1205.1343","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1343","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1343v1","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1343","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"YAO2AQ5FATDA","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YAO2AQ5FATDAS73O","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YAO2AQ5F","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YAO2AQ5FATDAS73OMS3VELRJSL","target":"record","payload":{"canonical_record":{"source":{"id":"1205.1343","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-05-07T10:56:25Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"6e53f95199f2684efa6a00ad1614f704aa640069b7405257f245783ba5bb973a","abstract_canon_sha256":"391605934dd738e638072b0aaa892a5464cd6ed82068011e7dfe0b7376c04fb2"},"schema_version":"1.0"},"canonical_sha256":"c01da043a504c6097f6e64b7522e2992f376a6a662cdb617845c88eb273c9b65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:37.441099Z","signature_b64":"DAKFTohZbs1wuSwVzHN7/zX+0VBlNttLNs8EFpDZYkHy57mZgkzXLssFRlARWBQ/9CHSi9Oa862ZpsMNDFIeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c01da043a504c6097f6e64b7522e2992f376a6a662cdb617845c88eb273c9b65","last_reissued_at":"2026-05-18T01:57:37.440499Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:37.440499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.1343","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":"2026-05-18T01:57:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0AmtgdMDvbcmM+2D0ew3jFyJxfLHIXPZxA//0qvax8Mc2WMh4cJLqbdN4Ra6e764vhMc6aLVRKMdlLJg68OxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T00:47:34.047481Z"},"content_sha256":"1ae99fbb21484e2f2c7e188924925f8fbd3c8349fcea77e4b7d8f27c6e3cbac9","schema_version":"1.0","event_id":"sha256:1ae99fbb21484e2f2c7e188924925f8fbd3c8349fcea77e4b7d8f27c6e3cbac9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YAO2AQ5FATDAS73OMS3VELRJSL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-order corrections to the short-pulse equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Levent Kurt, Tobias Schaefer, Yeojin Chung","submitted_at":"2012-05-07T10:56:25Z","abstract_excerpt":"Using renormalization group techniques, we derive an extended short- pulse equation as approximation to a nonlinear wave equation. We investigate the new equation numerically and show that the new equation captures efficiently higher- order effects on pulse propagation in cubic nonlinear media. We illustrate our findings using one- and two-soliton solutions of the first-order short-pulse equation as initial conditions in the nonlinear wave equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1343","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":"2026-05-18T01:57:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ZBMr94KW46OGbEXyc9F2AXg7xWSjJT49eMI7iin7QDaUxZcCQXAk8ZLsdPiuy0BEyQUqq3ZHWZZP3MRic73AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T00:47:34.048075Z"},"content_sha256":"86fbb98b767397de187076db15d4a13aabda06eebf489baa201d0642dd3e147e","schema_version":"1.0","event_id":"sha256:86fbb98b767397de187076db15d4a13aabda06eebf489baa201d0642dd3e147e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YAO2AQ5FATDAS73OMS3VELRJSL/bundle.json","state_url":"https://pith.science/pith/YAO2AQ5FATDAS73OMS3VELRJSL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YAO2AQ5FATDAS73OMS3VELRJSL/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":"2026-05-19T00:47:34Z","links":{"resolver":"https://pith.science/pith/YAO2AQ5FATDAS73OMS3VELRJSL","bundle":"https://pith.science/pith/YAO2AQ5FATDAS73OMS3VELRJSL/bundle.json","state":"https://pith.science/pith/YAO2AQ5FATDAS73OMS3VELRJSL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YAO2AQ5FATDAS73OMS3VELRJSL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YAO2AQ5FATDAS73OMS3VELRJSL","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":"391605934dd738e638072b0aaa892a5464cd6ed82068011e7dfe0b7376c04fb2","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-05-07T10:56:25Z","title_canon_sha256":"6e53f95199f2684efa6a00ad1614f704aa640069b7405257f245783ba5bb973a"},"schema_version":"1.0","source":{"id":"1205.1343","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1343","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1343v1","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1343","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"YAO2AQ5FATDA","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YAO2AQ5FATDAS73O","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YAO2AQ5F","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:86fbb98b767397de187076db15d4a13aabda06eebf489baa201d0642dd3e147e","target":"graph","created_at":"2026-05-18T01:57:37Z","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":"Using renormalization group techniques, we derive an extended short- pulse equation as approximation to a nonlinear wave equation. We investigate the new equation numerically and show that the new equation captures efficiently higher- order effects on pulse propagation in cubic nonlinear media. We illustrate our findings using one- and two-soliton solutions of the first-order short-pulse equation as initial conditions in the nonlinear wave equation.","authors_text":"Levent Kurt, Tobias Schaefer, Yeojin Chung","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-05-07T10:56:25Z","title":"Higher-order corrections to the short-pulse equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1343","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":"sha256:1ae99fbb21484e2f2c7e188924925f8fbd3c8349fcea77e4b7d8f27c6e3cbac9","target":"record","created_at":"2026-05-18T01:57:37Z","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":"391605934dd738e638072b0aaa892a5464cd6ed82068011e7dfe0b7376c04fb2","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-05-07T10:56:25Z","title_canon_sha256":"6e53f95199f2684efa6a00ad1614f704aa640069b7405257f245783ba5bb973a"},"schema_version":"1.0","source":{"id":"1205.1343","kind":"arxiv","version":1}},"canonical_sha256":"c01da043a504c6097f6e64b7522e2992f376a6a662cdb617845c88eb273c9b65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c01da043a504c6097f6e64b7522e2992f376a6a662cdb617845c88eb273c9b65","first_computed_at":"2026-05-18T01:57:37.440499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:37.440499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DAKFTohZbs1wuSwVzHN7/zX+0VBlNttLNs8EFpDZYkHy57mZgkzXLssFRlARWBQ/9CHSi9Oa862ZpsMNDFIeDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:37.441099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1343","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ae99fbb21484e2f2c7e188924925f8fbd3c8349fcea77e4b7d8f27c6e3cbac9","sha256:86fbb98b767397de187076db15d4a13aabda06eebf489baa201d0642dd3e147e"],"state_sha256":"86f03c67a7b5beb985d2edb390bb1504377e54af979489cf4f2bdcdc466bac7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uE4nuO3pwDrOZ2M9AdNm6TCj2lPsA2azw058vtDZTEULiYeCv8aW0RbH5Yw7ot6QttpxpZL13rvdWx2cKu4GAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T00:47:34.050190Z","bundle_sha256":"fd1914f0ed5826ef1fe9b42b6521b74b2a8f0dc2b3dc86a63cdb4c188d6d0a27"}}