{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CM7QA7OEP6ZTVF5O5HH2MBK73X","short_pith_number":"pith:CM7QA7OE","canonical_record":{"source":{"id":"1510.08822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-10-29T19:14:31Z","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"title_canon_sha256":"6e177b76caececbfae18dab10ca4cd9f5717588c0348af40e83ad85e7194b324","abstract_canon_sha256":"b1ce24feb5e72319400f91b9a4fb84781b6c86c2c7bdb0b126cae81b46012bec"},"schema_version":"1.0"},"canonical_sha256":"133f007dc47fb33a97aee9cfa6055fddfb230acd7ffb99c640709dc0e98ac540","source":{"kind":"arxiv","id":"1510.08822","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08822","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08822v1","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08822","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"CM7QA7OEP6ZT","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CM7QA7OEP6ZTVF5O","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CM7QA7OE","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CM7QA7OEP6ZTVF5O5HH2MBK73X","target":"record","payload":{"canonical_record":{"source":{"id":"1510.08822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-10-29T19:14:31Z","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"title_canon_sha256":"6e177b76caececbfae18dab10ca4cd9f5717588c0348af40e83ad85e7194b324","abstract_canon_sha256":"b1ce24feb5e72319400f91b9a4fb84781b6c86c2c7bdb0b126cae81b46012bec"},"schema_version":"1.0"},"canonical_sha256":"133f007dc47fb33a97aee9cfa6055fddfb230acd7ffb99c640709dc0e98ac540","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:42.008272Z","signature_b64":"NOrEKk5FLbzuFkShOzhXlj8cYncRC7SkNl/HD3zJUJJdPnUSuIjpujDRkgjwx14En+dLqXyUGj3qe5Y3wpIWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"133f007dc47fb33a97aee9cfa6055fddfb230acd7ffb99c640709dc0e98ac540","last_reissued_at":"2026-05-18T01:18:42.007675Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:42.007675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.08822","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":"2026-05-18T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ouRXolIw+rA1cVCTWETIa8bug8v4pi/itPfi7sMX0oSg1XdpdGO5/l2FTOgk7PXtLgn8KpPucge0f/O4iWmhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:02:35.762766Z"},"content_sha256":"dd66be7b8b06b3baf729f95dd25f32cc21ab1c522723f3ae349cb7eede2d5533","schema_version":"1.0","event_id":"sha256:dd66be7b8b06b3baf729f95dd25f32cc21ab1c522723f3ae349cb7eede2d5533"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CM7QA7OEP6ZTVF5O5HH2MBK73X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transformation and integrability of a generalized short pulse equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Sergei Sakovich","submitted_at":"2015-10-29T19:14:31Z","abstract_excerpt":"By means of transformations to nonlinear Klein-Gordon equations, we show that a generalized short pulse equation is integrable in two (and, most probably, only two) distinct cases of its coefficients. The first case is the original short pulse equation (SPE). The second case, which we call the single-cycle pulse equation (SCPE), is a previously overlooked scalar reduction of a known integrable system of coupled SPEs. We get the Lax pair and bi-Hamiltonian structure for the SCPE and show that the smooth envelope soliton of the SCPE can be as short as only one cycle of its carrier frequency."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08822","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":"2026-05-18T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JTtXrT5turqADxF9Ij2UIIO33hvxVyYshyPx/uv8EJqI9DvvTWkRXrNMzCl/mIQ6Y3FC/FdY9HJRTV53ODNuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:02:35.763120Z"},"content_sha256":"884a42c1e598670ff64c0db05da52bd09eb842df6b5459f0b84f38f53af06fe2","schema_version":"1.0","event_id":"sha256:884a42c1e598670ff64c0db05da52bd09eb842df6b5459f0b84f38f53af06fe2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CM7QA7OEP6ZTVF5O5HH2MBK73X/bundle.json","state_url":"https://pith.science/pith/CM7QA7OEP6ZTVF5O5HH2MBK73X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CM7QA7OEP6ZTVF5O5HH2MBK73X/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":"2026-06-04T19:02:35Z","links":{"resolver":"https://pith.science/pith/CM7QA7OEP6ZTVF5O5HH2MBK73X","bundle":"https://pith.science/pith/CM7QA7OEP6ZTVF5O5HH2MBK73X/bundle.json","state":"https://pith.science/pith/CM7QA7OEP6ZTVF5O5HH2MBK73X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CM7QA7OEP6ZTVF5O5HH2MBK73X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CM7QA7OEP6ZTVF5O5HH2MBK73X","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":"b1ce24feb5e72319400f91b9a4fb84781b6c86c2c7bdb0b126cae81b46012bec","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-10-29T19:14:31Z","title_canon_sha256":"6e177b76caececbfae18dab10ca4cd9f5717588c0348af40e83ad85e7194b324"},"schema_version":"1.0","source":{"id":"1510.08822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08822","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08822v1","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08822","created_at":"2026-05-18T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"CM7QA7OEP6ZT","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CM7QA7OEP6ZTVF5O","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CM7QA7OE","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:884a42c1e598670ff64c0db05da52bd09eb842df6b5459f0b84f38f53af06fe2","target":"graph","created_at":"2026-05-18T01:18:42Z","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":"By means of transformations to nonlinear Klein-Gordon equations, we show that a generalized short pulse equation is integrable in two (and, most probably, only two) distinct cases of its coefficients. The first case is the original short pulse equation (SPE). The second case, which we call the single-cycle pulse equation (SCPE), is a previously overlooked scalar reduction of a known integrable system of coupled SPEs. We get the Lax pair and bi-Hamiltonian structure for the SCPE and show that the smooth envelope soliton of the SCPE can be as short as only one cycle of its carrier frequency.","authors_text":"Sergei Sakovich","cross_cats":["math-ph","math.MP","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-10-29T19:14:31Z","title":"Transformation and integrability of a generalized short pulse equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08822","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:dd66be7b8b06b3baf729f95dd25f32cc21ab1c522723f3ae349cb7eede2d5533","target":"record","created_at":"2026-05-18T01:18:42Z","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":"b1ce24feb5e72319400f91b9a4fb84781b6c86c2c7bdb0b126cae81b46012bec","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-10-29T19:14:31Z","title_canon_sha256":"6e177b76caececbfae18dab10ca4cd9f5717588c0348af40e83ad85e7194b324"},"schema_version":"1.0","source":{"id":"1510.08822","kind":"arxiv","version":1}},"canonical_sha256":"133f007dc47fb33a97aee9cfa6055fddfb230acd7ffb99c640709dc0e98ac540","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"133f007dc47fb33a97aee9cfa6055fddfb230acd7ffb99c640709dc0e98ac540","first_computed_at":"2026-05-18T01:18:42.007675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:42.007675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NOrEKk5FLbzuFkShOzhXlj8cYncRC7SkNl/HD3zJUJJdPnUSuIjpujDRkgjwx14En+dLqXyUGj3qe5Y3wpIWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:42.008272Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd66be7b8b06b3baf729f95dd25f32cc21ab1c522723f3ae349cb7eede2d5533","sha256:884a42c1e598670ff64c0db05da52bd09eb842df6b5459f0b84f38f53af06fe2"],"state_sha256":"134670449ea0e4d47721ad7dddfd7c40a58dce04d9eab6d59762fa7df8318cc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Zl04onuxIg7q2yVdBtwpcNDquUZVJ+AgDbEhwfbnZdhoQszfOQ93yiY4dvlcviQ1iqI+2Tk0ULGo3zdlGndBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:02:35.765080Z","bundle_sha256":"dff3c0e9420009b066e22b0ba478e9ac545602c882ad4a65606e4d0251cf4690"}}