{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:G35GR4HUG6LULR4J4EXFQ4AILM","short_pith_number":"pith:G35GR4HU","canonical_record":{"source":{"id":"1111.6135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-26T04:49:01Z","cross_cats_sorted":[],"title_canon_sha256":"7db945ce3e1d2be1ced2bc85f66bf1af673c6d797f42b87c69f66660812771a4","abstract_canon_sha256":"188517dcb304b730d62eba53dea4cf732b9255d1ede562e42158cb280a0f59c0"},"schema_version":"1.0"},"canonical_sha256":"36fa68f0f4379745c789e12e5870085b20cbec421b3814eccf9d2fe32711e999","source":{"kind":"arxiv","id":"1111.6135","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6135","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6135v1","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6135","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"pith_short_12","alias_value":"G35GR4HUG6LU","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"G35GR4HUG6LULR4J","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"G35GR4HU","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:G35GR4HUG6LULR4J4EXFQ4AILM","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-26T04:49:01Z","cross_cats_sorted":[],"title_canon_sha256":"7db945ce3e1d2be1ced2bc85f66bf1af673c6d797f42b87c69f66660812771a4","abstract_canon_sha256":"188517dcb304b730d62eba53dea4cf732b9255d1ede562e42158cb280a0f59c0"},"schema_version":"1.0"},"canonical_sha256":"36fa68f0f4379745c789e12e5870085b20cbec421b3814eccf9d2fe32711e999","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:54.560383Z","signature_b64":"HbQr7OV9j0BNx4sOR3DCs30ZfS55sPI4XaUdW97UCuhKXENqd2mE6SA5ZV2eAOprstOZraLn8uP6h/nZGJeMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36fa68f0f4379745c789e12e5870085b20cbec421b3814eccf9d2fe32711e999","last_reissued_at":"2026-05-18T03:22:54.559917Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:54.559917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6135","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":"2026-05-18T03:22:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WEVy8Kh1n/pS9KffMkvvA7/hIBk4df86miGxqBzpyICstcmhlgWs263fWplRUunR/FKiBI/jX/24vl2QLWgoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:44:23.161006Z"},"content_sha256":"8c4f25f9fd2d7bbde70c870c18192538e170faa9a01c7cd21420daca1546c644","schema_version":"1.0","event_id":"sha256:8c4f25f9fd2d7bbde70c870c18192538e170faa9a01c7cd21420daca1546c644"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:G35GR4HUG6LULR4J4EXFQ4AILM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Forced Nonlinear Schroedinger Equation with Arbitrary Nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Avadh Saxena, Avinash Khare, Franz G. Mertens, Fred Cooper, Niurka R. Quintero","submitted_at":"2011-11-26T04:49:01Z","abstract_excerpt":"We consider the nonlinear Schr{\\\"o}dinger equation (NLSE) in 1+1 dimension with scalar-scalar self interaction $\\frac{g^2}{\\kappa+1} (\\psi^\\star \\psi)^{\\kappa+1}$ in the presence of the external forcing terms of the form $r e^{-i(kx + \\theta)} -\\delta \\psi$. We find new exact solutions for this problem and show that the solitary wave momentum is conserved in a moving frame where $v_k=2 k$. These new exact solutions reduce to the constant phase solutions of the unforced problem when $r \\rightarrow 0.$\n  In particular we study the behavior of solitary wave solutions in the presence of these exte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6135","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":"2026-05-18T03:22:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HK7c1EgdKq5cJb7Fi6KFFoNWUG2axPLQXLT1Wen34XiN2Fc8JQ5uCSJhGoxHRFl2hf+gsQO7ra5Zv55E4rwVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:44:23.161556Z"},"content_sha256":"64821eb654953154f6904205dbe14d45a394baa925f7d93781e16e3684c75312","schema_version":"1.0","event_id":"sha256:64821eb654953154f6904205dbe14d45a394baa925f7d93781e16e3684c75312"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G35GR4HUG6LULR4J4EXFQ4AILM/bundle.json","state_url":"https://pith.science/pith/G35GR4HUG6LULR4J4EXFQ4AILM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G35GR4HUG6LULR4J4EXFQ4AILM/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":"2026-05-27T04:44:23Z","links":{"resolver":"https://pith.science/pith/G35GR4HUG6LULR4J4EXFQ4AILM","bundle":"https://pith.science/pith/G35GR4HUG6LULR4J4EXFQ4AILM/bundle.json","state":"https://pith.science/pith/G35GR4HUG6LULR4J4EXFQ4AILM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G35GR4HUG6LULR4J4EXFQ4AILM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:G35GR4HUG6LULR4J4EXFQ4AILM","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":"188517dcb304b730d62eba53dea4cf732b9255d1ede562e42158cb280a0f59c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-26T04:49:01Z","title_canon_sha256":"7db945ce3e1d2be1ced2bc85f66bf1af673c6d797f42b87c69f66660812771a4"},"schema_version":"1.0","source":{"id":"1111.6135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6135","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6135v1","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6135","created_at":"2026-05-18T03:22:54Z"},{"alias_kind":"pith_short_12","alias_value":"G35GR4HUG6LU","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"G35GR4HUG6LULR4J","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"G35GR4HU","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:64821eb654953154f6904205dbe14d45a394baa925f7d93781e16e3684c75312","target":"graph","created_at":"2026-05-18T03:22:54Z","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 the nonlinear Schr{\\\"o}dinger equation (NLSE) in 1+1 dimension with scalar-scalar self interaction $\\frac{g^2}{\\kappa+1} (\\psi^\\star \\psi)^{\\kappa+1}$ in the presence of the external forcing terms of the form $r e^{-i(kx + \\theta)} -\\delta \\psi$. We find new exact solutions for this problem and show that the solitary wave momentum is conserved in a moving frame where $v_k=2 k$. These new exact solutions reduce to the constant phase solutions of the unforced problem when $r \\rightarrow 0.$\n  In particular we study the behavior of solitary wave solutions in the presence of these exte","authors_text":"Avadh Saxena, Avinash Khare, Franz G. Mertens, Fred Cooper, Niurka R. Quintero","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-26T04:49:01Z","title":"Forced Nonlinear Schroedinger Equation with Arbitrary Nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6135","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":"sha256:8c4f25f9fd2d7bbde70c870c18192538e170faa9a01c7cd21420daca1546c644","target":"record","created_at":"2026-05-18T03:22:54Z","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":"188517dcb304b730d62eba53dea4cf732b9255d1ede562e42158cb280a0f59c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-26T04:49:01Z","title_canon_sha256":"7db945ce3e1d2be1ced2bc85f66bf1af673c6d797f42b87c69f66660812771a4"},"schema_version":"1.0","source":{"id":"1111.6135","kind":"arxiv","version":1}},"canonical_sha256":"36fa68f0f4379745c789e12e5870085b20cbec421b3814eccf9d2fe32711e999","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36fa68f0f4379745c789e12e5870085b20cbec421b3814eccf9d2fe32711e999","first_computed_at":"2026-05-18T03:22:54.559917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:54.559917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HbQr7OV9j0BNx4sOR3DCs30ZfS55sPI4XaUdW97UCuhKXENqd2mE6SA5ZV2eAOprstOZraLn8uP6h/nZGJeMDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:54.560383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c4f25f9fd2d7bbde70c870c18192538e170faa9a01c7cd21420daca1546c644","sha256:64821eb654953154f6904205dbe14d45a394baa925f7d93781e16e3684c75312"],"state_sha256":"db8eb287f00bca796cf24c9f6577e4ddf9d59853c70d9ab82026e1d8f6e3d692"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GkFAp+tlC5VBl6JB+Bu1h81PzlKREFSVLHT5bMN/l2tTJ/L4zfxJz4uVOQfWQyuAC6cksVOk9ju9+pEStFHwAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:44:23.164116Z","bundle_sha256":"641bf8cf9ff62e0ff66d96385ada6395033ddef2a80dfa4ccd44f0b7412d111d"}}