{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JPHA2SKJBUQIM4FJJKX3LBFT4U","short_pith_number":"pith:JPHA2SKJ","canonical_record":{"source":{"id":"1804.01074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-03T17:38:51Z","cross_cats_sorted":[],"title_canon_sha256":"b15585a94b41f6ed8978b10b4ff2e5b4061fc42e80579ba9a1189acb8f7a8656","abstract_canon_sha256":"3c133811812b0513bdf24b98231faa4077f407dd183ffd1b38abca886604924b"},"schema_version":"1.0"},"canonical_sha256":"4bce0d49490d208670a94aafb584b3e53519c1b5ff1fba7dab6371f81d313114","source":{"kind":"arxiv","id":"1804.01074","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01074","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01074v1","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01074","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"pith_short_12","alias_value":"JPHA2SKJBUQI","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JPHA2SKJBUQIM4FJ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JPHA2SKJ","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JPHA2SKJBUQIM4FJJKX3LBFT4U","target":"record","payload":{"canonical_record":{"source":{"id":"1804.01074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-03T17:38:51Z","cross_cats_sorted":[],"title_canon_sha256":"b15585a94b41f6ed8978b10b4ff2e5b4061fc42e80579ba9a1189acb8f7a8656","abstract_canon_sha256":"3c133811812b0513bdf24b98231faa4077f407dd183ffd1b38abca886604924b"},"schema_version":"1.0"},"canonical_sha256":"4bce0d49490d208670a94aafb584b3e53519c1b5ff1fba7dab6371f81d313114","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:31.394632Z","signature_b64":"a96DR94rKgkhJMT6uTOffds9TRTmwPtoTRe7w21Ee+y1E+eHI2uEt/xCJ8t+t4zYRU+1KCivyxEFbKEaxOZZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bce0d49490d208670a94aafb584b3e53519c1b5ff1fba7dab6371f81d313114","last_reissued_at":"2026-05-18T00:19:31.394028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:31.394028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.01074","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":"2026-05-18T00:19:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kO9xqkuDjz8CsH6VNQLEKn00FQWLOVtxBJ3ZK1aZo4jd6uhSLT73O9shp1GOIt7xdAu4L01vfV52oCfMgG1YCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:05:15.157052Z"},"content_sha256":"90317c1f8586240d636b531091f7a971a4d27405ab5fc409b0ca3447cec5d88f","schema_version":"1.0","event_id":"sha256:90317c1f8586240d636b531091f7a971a4d27405ab5fc409b0ca3447cec5d88f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JPHA2SKJBUQIM4FJJKX3LBFT4U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superintegrable systems with position dependent mass: master symmetry and action-angle methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"A. Ghose-Choudhury, Partha Guha","submitted_at":"2018-04-03T17:38:51Z","abstract_excerpt":"We consider the issue of deriving superintegrable systems with position dependent mass (PDM) in two dimensions from certain known superintegrable systems using the recently introduced method of master symmetries and complex factorization by M. Ranada \\cite{Rana1,Rana2,Rana3,Rana4}. We introduce a noncanonical transformation to map the Hamiltonian of the PDM systems to that of ordinary unit mass systems. We observe a duality between these systems. We also study Tsiganov's method \\cite{Tsiganov1,Tsiganov2,Tsiganov3,Tsiganov4} to derive polynomial integrals of motion using addition theorems for t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01074","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":"2026-05-18T00:19:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n2Z8dPf3AJyr2K/Q/V7DnmTZj3HunVWxxJJK6OUutVQLOUN7KDcjeUOtb/p+QOdwMyREXq848qH8XWJZjbx3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:05:15.157421Z"},"content_sha256":"588ec112da0fee3ad046f92261d2e8e96cbafa01f441e7a83b905fe6dae762ed","schema_version":"1.0","event_id":"sha256:588ec112da0fee3ad046f92261d2e8e96cbafa01f441e7a83b905fe6dae762ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JPHA2SKJBUQIM4FJJKX3LBFT4U/bundle.json","state_url":"https://pith.science/pith/JPHA2SKJBUQIM4FJJKX3LBFT4U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JPHA2SKJBUQIM4FJJKX3LBFT4U/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":"2026-06-01T20:05:15Z","links":{"resolver":"https://pith.science/pith/JPHA2SKJBUQIM4FJJKX3LBFT4U","bundle":"https://pith.science/pith/JPHA2SKJBUQIM4FJJKX3LBFT4U/bundle.json","state":"https://pith.science/pith/JPHA2SKJBUQIM4FJJKX3LBFT4U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JPHA2SKJBUQIM4FJJKX3LBFT4U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JPHA2SKJBUQIM4FJJKX3LBFT4U","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":"3c133811812b0513bdf24b98231faa4077f407dd183ffd1b38abca886604924b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-03T17:38:51Z","title_canon_sha256":"b15585a94b41f6ed8978b10b4ff2e5b4061fc42e80579ba9a1189acb8f7a8656"},"schema_version":"1.0","source":{"id":"1804.01074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01074","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01074v1","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01074","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"pith_short_12","alias_value":"JPHA2SKJBUQI","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JPHA2SKJBUQIM4FJ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JPHA2SKJ","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:588ec112da0fee3ad046f92261d2e8e96cbafa01f441e7a83b905fe6dae762ed","target":"graph","created_at":"2026-05-18T00:19:31Z","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 issue of deriving superintegrable systems with position dependent mass (PDM) in two dimensions from certain known superintegrable systems using the recently introduced method of master symmetries and complex factorization by M. Ranada \\cite{Rana1,Rana2,Rana3,Rana4}. We introduce a noncanonical transformation to map the Hamiltonian of the PDM systems to that of ordinary unit mass systems. We observe a duality between these systems. We also study Tsiganov's method \\cite{Tsiganov1,Tsiganov2,Tsiganov3,Tsiganov4} to derive polynomial integrals of motion using addition theorems for t","authors_text":"A. Ghose-Choudhury, Partha Guha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-03T17:38:51Z","title":"Superintegrable systems with position dependent mass: master symmetry and action-angle methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01074","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":"sha256:90317c1f8586240d636b531091f7a971a4d27405ab5fc409b0ca3447cec5d88f","target":"record","created_at":"2026-05-18T00:19:31Z","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":"3c133811812b0513bdf24b98231faa4077f407dd183ffd1b38abca886604924b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-03T17:38:51Z","title_canon_sha256":"b15585a94b41f6ed8978b10b4ff2e5b4061fc42e80579ba9a1189acb8f7a8656"},"schema_version":"1.0","source":{"id":"1804.01074","kind":"arxiv","version":1}},"canonical_sha256":"4bce0d49490d208670a94aafb584b3e53519c1b5ff1fba7dab6371f81d313114","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bce0d49490d208670a94aafb584b3e53519c1b5ff1fba7dab6371f81d313114","first_computed_at":"2026-05-18T00:19:31.394028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:31.394028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a96DR94rKgkhJMT6uTOffds9TRTmwPtoTRe7w21Ee+y1E+eHI2uEt/xCJ8t+t4zYRU+1KCivyxEFbKEaxOZZDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:31.394632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90317c1f8586240d636b531091f7a971a4d27405ab5fc409b0ca3447cec5d88f","sha256:588ec112da0fee3ad046f92261d2e8e96cbafa01f441e7a83b905fe6dae762ed"],"state_sha256":"0279e01bccd46891d68ecdcf27220229b1fa3f47214468f71d1e4314b911f948"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/orgWZmWgShPH5VtcRoEaC5Bi26N+kbwbT+NW3lYd13Wsnr0e8DZVlTVO+zYb6RX/ZczIQbw3Wl4bvgLVppmDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:05:15.160709Z","bundle_sha256":"a0a58694d2012b47694d3c11b744d27c4cb01ba45468af2efeaf8352fcb6857d"}}