{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HRXXX7HEV3EQCL5TUPVRCZMMJZ","short_pith_number":"pith:HRXXX7HE","canonical_record":{"source":{"id":"1502.03914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T08:43:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9ac8e2f44fc6c74aead5994922333230e83532e335c143ec191cdd154f2e12b3","abstract_canon_sha256":"acb07c8dfcdca484b54948fe39932606eaa0ed3764e29b02f6fec778d49cff41"},"schema_version":"1.0"},"canonical_sha256":"3c6f7bfce4aec9012fb3a3eb11658c4e69b18091700192a7212ba4223e805778","source":{"kind":"arxiv","id":"1502.03914","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03914","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03914v1","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03914","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"HRXXX7HEV3EQ","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HRXXX7HEV3EQCL5T","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HRXXX7HE","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HRXXX7HEV3EQCL5TUPVRCZMMJZ","target":"record","payload":{"canonical_record":{"source":{"id":"1502.03914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T08:43:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9ac8e2f44fc6c74aead5994922333230e83532e335c143ec191cdd154f2e12b3","abstract_canon_sha256":"acb07c8dfcdca484b54948fe39932606eaa0ed3764e29b02f6fec778d49cff41"},"schema_version":"1.0"},"canonical_sha256":"3c6f7bfce4aec9012fb3a3eb11658c4e69b18091700192a7212ba4223e805778","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:06.972219Z","signature_b64":"sfZjRhhQGtcP8j/j9c8KK7iDpyWZMRjmoNjMy4jIFBTmWftTqTri6sNDxauQBsm6o5UNFFePuk5MoC45dINEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c6f7bfce4aec9012fb3a3eb11658c4e69b18091700192a7212ba4223e805778","last_reissued_at":"2026-05-18T02:27:06.971507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:06.971507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.03914","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":"2026-05-18T02:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBcOmhnieUR/nGTeZngmQokj6U87mqjQTM1sMFMXwGookC29oqdM+sduSJ5GLfzoB7Br0ujHbn1Q1TYfySjlDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:05:27.783768Z"},"content_sha256":"f56c69cd7243d7ca23dda9c7c74509e823fcacdfe7b5a2488b6d5d3b1142ff4f","schema_version":"1.0","event_id":"sha256:f56c69cd7243d7ca23dda9c7c74509e823fcacdfe7b5a2488b6d5d3b1142ff4f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HRXXX7HEV3EQCL5TUPVRCZMMJZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On certain analytical methods in finding integrable systems and their interconnections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"M. Lakshmanan, M. Senthilvelan, R. Mohanasubha, V. K. Chandrasekar","submitted_at":"2015-02-13T08:43:16Z","abstract_excerpt":"In this paper, to begin with, we review six different analytical methods which are widely used to derive symmetries, integrating factors, multipliers, Darboux polynomials and integrals of second order nonlinear ordinary differential equations. We illustrate the algorithm behind each method by considering a nonlinear oscillator equation as an example. In the second part of this paper, we examine the interconnections between these methods. We establish a road map between extended Prelle-Singer procedure with all other methods cited above and thereby demonstrate the interplay between Lie point sy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03914","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":"2026-05-18T02:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ikUTbPIGAOSVyq6JHLqR0DlHFWpV9kJFlwsfpbKWaaB79FW0InK285mEMFo5BfR/+8uKydfZZoSlNX3JtPhGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:05:27.784436Z"},"content_sha256":"2511a1fe3a1d5c875bbb82c94925a4c4ab37e27bbb57c603d41b0cfc53f806dc","schema_version":"1.0","event_id":"sha256:2511a1fe3a1d5c875bbb82c94925a4c4ab37e27bbb57c603d41b0cfc53f806dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HRXXX7HEV3EQCL5TUPVRCZMMJZ/bundle.json","state_url":"https://pith.science/pith/HRXXX7HEV3EQCL5TUPVRCZMMJZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HRXXX7HEV3EQCL5TUPVRCZMMJZ/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":"2026-06-11T20:05:27Z","links":{"resolver":"https://pith.science/pith/HRXXX7HEV3EQCL5TUPVRCZMMJZ","bundle":"https://pith.science/pith/HRXXX7HEV3EQCL5TUPVRCZMMJZ/bundle.json","state":"https://pith.science/pith/HRXXX7HEV3EQCL5TUPVRCZMMJZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HRXXX7HEV3EQCL5TUPVRCZMMJZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HRXXX7HEV3EQCL5TUPVRCZMMJZ","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":"acb07c8dfcdca484b54948fe39932606eaa0ed3764e29b02f6fec778d49cff41","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T08:43:16Z","title_canon_sha256":"9ac8e2f44fc6c74aead5994922333230e83532e335c143ec191cdd154f2e12b3"},"schema_version":"1.0","source":{"id":"1502.03914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03914","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03914v1","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03914","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"HRXXX7HEV3EQ","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HRXXX7HEV3EQCL5T","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HRXXX7HE","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:2511a1fe3a1d5c875bbb82c94925a4c4ab37e27bbb57c603d41b0cfc53f806dc","target":"graph","created_at":"2026-05-18T02:27:06Z","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":"In this paper, to begin with, we review six different analytical methods which are widely used to derive symmetries, integrating factors, multipliers, Darboux polynomials and integrals of second order nonlinear ordinary differential equations. We illustrate the algorithm behind each method by considering a nonlinear oscillator equation as an example. In the second part of this paper, we examine the interconnections between these methods. We establish a road map between extended Prelle-Singer procedure with all other methods cited above and thereby demonstrate the interplay between Lie point sy","authors_text":"M. Lakshmanan, M. Senthilvelan, R. Mohanasubha, V. K. Chandrasekar","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T08:43:16Z","title":"On certain analytical methods in finding integrable systems and their interconnections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03914","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:f56c69cd7243d7ca23dda9c7c74509e823fcacdfe7b5a2488b6d5d3b1142ff4f","target":"record","created_at":"2026-05-18T02:27:06Z","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":"acb07c8dfcdca484b54948fe39932606eaa0ed3764e29b02f6fec778d49cff41","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T08:43:16Z","title_canon_sha256":"9ac8e2f44fc6c74aead5994922333230e83532e335c143ec191cdd154f2e12b3"},"schema_version":"1.0","source":{"id":"1502.03914","kind":"arxiv","version":1}},"canonical_sha256":"3c6f7bfce4aec9012fb3a3eb11658c4e69b18091700192a7212ba4223e805778","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c6f7bfce4aec9012fb3a3eb11658c4e69b18091700192a7212ba4223e805778","first_computed_at":"2026-05-18T02:27:06.971507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:06.971507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sfZjRhhQGtcP8j/j9c8KK7iDpyWZMRjmoNjMy4jIFBTmWftTqTri6sNDxauQBsm6o5UNFFePuk5MoC45dINEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:06.972219Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f56c69cd7243d7ca23dda9c7c74509e823fcacdfe7b5a2488b6d5d3b1142ff4f","sha256:2511a1fe3a1d5c875bbb82c94925a4c4ab37e27bbb57c603d41b0cfc53f806dc"],"state_sha256":"c765a5e0b941bd28bf57660924bbf3a2fbf6ff7fef724a06f0c83745e8fed10b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JhpjxTYlyJZobddk3KUb/JFb9B4Bo5YLoS7rb2P+DSHVvaIgB0Tk82eQCWaawVaj4qOpxjBHPmymFrvUE3MWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T20:05:27.788496Z","bundle_sha256":"7ad6cae9ea5cca1b579050d035d1238e7df17ada8e301d2d93c5bd4d586c017c"}}