{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4AKJUWGTF5HI4LJNSZVKJ6NKOX","short_pith_number":"pith:4AKJUWGT","canonical_record":{"source":{"id":"1612.01933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-06T18:11:36Z","cross_cats_sorted":[],"title_canon_sha256":"bc17b9e0aad3e4e38db4a0aca32eb7eb7de64865357a5e8d46ad49a4cd3854ad","abstract_canon_sha256":"d2ecb9b88531256fac1c9b7c1765c3a8c9ea0884145f15793c3db5b227b75512"},"schema_version":"1.0"},"canonical_sha256":"e0149a58d32f4e8e2d2d966aa4f9aa75e2b3d3158412a9cd1dde3ca75e2101f3","source":{"kind":"arxiv","id":"1612.01933","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01933","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01933v2","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01933","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"pith_short_12","alias_value":"4AKJUWGTF5HI","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4AKJUWGTF5HI4LJN","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4AKJUWGT","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4AKJUWGTF5HI4LJNSZVKJ6NKOX","target":"record","payload":{"canonical_record":{"source":{"id":"1612.01933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-06T18:11:36Z","cross_cats_sorted":[],"title_canon_sha256":"bc17b9e0aad3e4e38db4a0aca32eb7eb7de64865357a5e8d46ad49a4cd3854ad","abstract_canon_sha256":"d2ecb9b88531256fac1c9b7c1765c3a8c9ea0884145f15793c3db5b227b75512"},"schema_version":"1.0"},"canonical_sha256":"e0149a58d32f4e8e2d2d966aa4f9aa75e2b3d3158412a9cd1dde3ca75e2101f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:15.601513Z","signature_b64":"RrEdg+XLbQMZy2hdTMG2zJ5+u+ezlV1U6aQs2wTVit8UNgDGfBc+9Xvrcu8O7SnGYQ43QLnsCRhYnOZWB6BcBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0149a58d32f4e8e2d2d966aa4f9aa75e2b3d3158412a9cd1dde3ca75e2101f3","last_reissued_at":"2026-05-18T00:34:15.600917Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:15.600917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.01933","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i49RLZ6awrQP2C+3C7RzehhuuhzxFnDdHOABaiGiJRNEc5Oc3/e0HSQNVf29JEYIzS0WvdnpC0hdfYWhRavzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T02:08:43.317276Z"},"content_sha256":"4b1218e3b0381b07ecd222b4468588b778cf2c50bcd0ccb3ac57546234dae5ac","schema_version":"1.0","event_id":"sha256:4b1218e3b0381b07ecd222b4468588b778cf2c50bcd0ccb3ac57546234dae5ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4AKJUWGTF5HI4LJNSZVKJ6NKOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"A. Sri Ranga, Cleonice F. Bracciali, Jairo S. Silva","submitted_at":"2016-12-06T18:11:36Z","abstract_excerpt":"When a measure $\\psi(x)$ on the real line is subjected to the modification $d\\psi^{(t)}(x) = e^{-tx} d \\psi(x)$, then the coefficients of the recurrence relation of the orthogonal polynomials in $x$ with respect to the measure $\\psi^{(t)}(x)$ are known to satisfy the so-called Toda lattice formulas as functions of $t$. In this paper we consider a modification of the form $e^{-t(p x+q/x)}$ of measures or, more generally, of moment functionals, associated with orthogonal L-polynomials and show that the coefficients of the recurrence relation of these L-orthogonal polynomials satisfy what we call"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01933","kind":"arxiv","version":2},"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":"2026-05-18T00:34:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ArPwaS+cHtPu/jJJHbGYf0dX9w6clE6cg2e7iOviiOQHE887HbZ5OUb81d5w1MieRbGCqsEMzkg8hrm9gkZYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T02:08:43.317877Z"},"content_sha256":"67ee582b2725e005360e0e1eb15942fa30d55782e8f437b105f006e49033770d","schema_version":"1.0","event_id":"sha256:67ee582b2725e005360e0e1eb15942fa30d55782e8f437b105f006e49033770d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4AKJUWGTF5HI4LJNSZVKJ6NKOX/bundle.json","state_url":"https://pith.science/pith/4AKJUWGTF5HI4LJNSZVKJ6NKOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4AKJUWGTF5HI4LJNSZVKJ6NKOX/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":"2026-07-02T02:08:43Z","links":{"resolver":"https://pith.science/pith/4AKJUWGTF5HI4LJNSZVKJ6NKOX","bundle":"https://pith.science/pith/4AKJUWGTF5HI4LJNSZVKJ6NKOX/bundle.json","state":"https://pith.science/pith/4AKJUWGTF5HI4LJNSZVKJ6NKOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4AKJUWGTF5HI4LJNSZVKJ6NKOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4AKJUWGTF5HI4LJNSZVKJ6NKOX","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":"d2ecb9b88531256fac1c9b7c1765c3a8c9ea0884145f15793c3db5b227b75512","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-06T18:11:36Z","title_canon_sha256":"bc17b9e0aad3e4e38db4a0aca32eb7eb7de64865357a5e8d46ad49a4cd3854ad"},"schema_version":"1.0","source":{"id":"1612.01933","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01933","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01933v2","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01933","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"pith_short_12","alias_value":"4AKJUWGTF5HI","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4AKJUWGTF5HI4LJN","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4AKJUWGT","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:67ee582b2725e005360e0e1eb15942fa30d55782e8f437b105f006e49033770d","target":"graph","created_at":"2026-05-18T00:34:15Z","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":"When a measure $\\psi(x)$ on the real line is subjected to the modification $d\\psi^{(t)}(x) = e^{-tx} d \\psi(x)$, then the coefficients of the recurrence relation of the orthogonal polynomials in $x$ with respect to the measure $\\psi^{(t)}(x)$ are known to satisfy the so-called Toda lattice formulas as functions of $t$. In this paper we consider a modification of the form $e^{-t(p x+q/x)}$ of measures or, more generally, of moment functionals, associated with orthogonal L-polynomials and show that the coefficients of the recurrence relation of these L-orthogonal polynomials satisfy what we call","authors_text":"A. Sri Ranga, Cleonice F. Bracciali, Jairo S. Silva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-06T18:11:36Z","title":"Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01933","kind":"arxiv","version":2},"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":"sha256:4b1218e3b0381b07ecd222b4468588b778cf2c50bcd0ccb3ac57546234dae5ac","target":"record","created_at":"2026-05-18T00:34:15Z","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":"d2ecb9b88531256fac1c9b7c1765c3a8c9ea0884145f15793c3db5b227b75512","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-06T18:11:36Z","title_canon_sha256":"bc17b9e0aad3e4e38db4a0aca32eb7eb7de64865357a5e8d46ad49a4cd3854ad"},"schema_version":"1.0","source":{"id":"1612.01933","kind":"arxiv","version":2}},"canonical_sha256":"e0149a58d32f4e8e2d2d966aa4f9aa75e2b3d3158412a9cd1dde3ca75e2101f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0149a58d32f4e8e2d2d966aa4f9aa75e2b3d3158412a9cd1dde3ca75e2101f3","first_computed_at":"2026-05-18T00:34:15.600917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:15.600917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RrEdg+XLbQMZy2hdTMG2zJ5+u+ezlV1U6aQs2wTVit8UNgDGfBc+9Xvrcu8O7SnGYQ43QLnsCRhYnOZWB6BcBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:15.601513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.01933","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b1218e3b0381b07ecd222b4468588b778cf2c50bcd0ccb3ac57546234dae5ac","sha256:67ee582b2725e005360e0e1eb15942fa30d55782e8f437b105f006e49033770d"],"state_sha256":"ac4e373dc3fb94206ae9b4932db7814f4f3dd3d3b1e083dac67268205ef2b97c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nW3u5T9udEBQtO2G1Z14RiyhRJGX3SNV78HyDW5rr23aMTU+tSaKIlCe8qwm7M7wItUJej0loKYpNbLje8OSBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T02:08:43.321003Z","bundle_sha256":"11cb964aaf01d5a120a0f7c1d9cbfa1ce5c29e385940a7e465562aea9dd1418a"}}