{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6WHD3G4F52BLEIDAARALO7ET4D","short_pith_number":"pith:6WHD3G4F","canonical_record":{"source":{"id":"1605.09736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-31T17:31:29Z","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"title_canon_sha256":"415f9416a1c31cfa4b1083325c455c47db071d05468bf87eee6d14f4291ef134","abstract_canon_sha256":"f356600d210c46ad5ccbb9bd699150fc76f496debb99bc39d5931db3e881673a"},"schema_version":"1.0"},"canonical_sha256":"f58e3d9b85ee82b220600440b77c93e0e5b265a59893b3d5eade7f2f77eee3d6","source":{"kind":"arxiv","id":"1605.09736","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09736","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09736v2","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09736","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"pith_short_12","alias_value":"6WHD3G4F52BL","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6WHD3G4F52BLEIDA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6WHD3G4F","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6WHD3G4F52BLEIDAARALO7ET4D","target":"record","payload":{"canonical_record":{"source":{"id":"1605.09736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-31T17:31:29Z","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"title_canon_sha256":"415f9416a1c31cfa4b1083325c455c47db071d05468bf87eee6d14f4291ef134","abstract_canon_sha256":"f356600d210c46ad5ccbb9bd699150fc76f496debb99bc39d5931db3e881673a"},"schema_version":"1.0"},"canonical_sha256":"f58e3d9b85ee82b220600440b77c93e0e5b265a59893b3d5eade7f2f77eee3d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:42.730523Z","signature_b64":"HmPX5Yf1rTqgZF0PfH5ubB1RKHBuNyqMeUm8ZPn/umlny6TufYAtskyxL8qIGv3x/dvGpbqYy6vlpEJsSSdJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f58e3d9b85ee82b220600440b77c93e0e5b265a59893b3d5eade7f2f77eee3d6","last_reissued_at":"2026-05-18T01:03:42.730099Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:42.730099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.09736","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":"2026-05-18T01:03:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eVhvjopUs0V8Y+PfMjRmGAH+bFSm87Pf9EjDZxEF4hSc1GQrbyTpC4AR5kngCh/Phm7J66gwGyt0lTUXBDIAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:58:59.828654Z"},"content_sha256":"bbf7bebb0b42b322aa38e45080dce28f49ac1b80916d9c7103ec543c88d25d3f","schema_version":"1.0","event_id":"sha256:bbf7bebb0b42b322aa38e45080dce28f49ac1b80916d9c7103ec543c88d25d3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6WHD3G4F52BLEIDAARALO7ET4D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trigonometric and elliptic Ruijsenaars-Schneider systems on the complex projective space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"L. Feher, T.F. Gorbe","submitted_at":"2016-05-31T17:31:29Z","abstract_excerpt":"We present a direct construction of compact real forms of the trigonometric and elliptic $n$-particle Ruijsenaars-Schneider systems whose completed center-of-mass phase space is the complex projective space $\\mathbb{CP}^{n-1}$ with the Fubini-Study symplectic structure. These systems are labelled by an integer $p\\in\\{1,\\dots,n-1\\}$ relative prime to $n$ and a coupling parameter $y$ varying in a certain punctured interval around $p\\pi/n$. Our work extends Ruijsenaars's pioneering study of compactifications that imposed the restriction $0<y<\\pi/n$, and also builds on an earlier derivation of mor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09736","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":"2026-05-18T01:03:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YCIhTgRpIZAJE2w9X74fNzVRIWwwBEboXK0xjKFnBkiBFnNosygpzj6VHk0ZzTeSQ52QkvKQDRR3IoMLiy/NDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:58:59.829284Z"},"content_sha256":"d8827dbb524e70e2bec5d632bfb949543e2d8d2938e7f8e6b16cd6cd58d2c1cc","schema_version":"1.0","event_id":"sha256:d8827dbb524e70e2bec5d632bfb949543e2d8d2938e7f8e6b16cd6cd58d2c1cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6WHD3G4F52BLEIDAARALO7ET4D/bundle.json","state_url":"https://pith.science/pith/6WHD3G4F52BLEIDAARALO7ET4D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6WHD3G4F52BLEIDAARALO7ET4D/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":"2026-06-10T08:58:59Z","links":{"resolver":"https://pith.science/pith/6WHD3G4F52BLEIDAARALO7ET4D","bundle":"https://pith.science/pith/6WHD3G4F52BLEIDAARALO7ET4D/bundle.json","state":"https://pith.science/pith/6WHD3G4F52BLEIDAARALO7ET4D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6WHD3G4F52BLEIDAARALO7ET4D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6WHD3G4F52BLEIDAARALO7ET4D","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":"f356600d210c46ad5ccbb9bd699150fc76f496debb99bc39d5931db3e881673a","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-31T17:31:29Z","title_canon_sha256":"415f9416a1c31cfa4b1083325c455c47db071d05468bf87eee6d14f4291ef134"},"schema_version":"1.0","source":{"id":"1605.09736","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09736","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09736v2","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09736","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"pith_short_12","alias_value":"6WHD3G4F52BL","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6WHD3G4F52BLEIDA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6WHD3G4F","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:d8827dbb524e70e2bec5d632bfb949543e2d8d2938e7f8e6b16cd6cd58d2c1cc","target":"graph","created_at":"2026-05-18T01:03:42Z","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":"We present a direct construction of compact real forms of the trigonometric and elliptic $n$-particle Ruijsenaars-Schneider systems whose completed center-of-mass phase space is the complex projective space $\\mathbb{CP}^{n-1}$ with the Fubini-Study symplectic structure. These systems are labelled by an integer $p\\in\\{1,\\dots,n-1\\}$ relative prime to $n$ and a coupling parameter $y$ varying in a certain punctured interval around $p\\pi/n$. Our work extends Ruijsenaars's pioneering study of compactifications that imposed the restriction $0<y<\\pi/n$, and also builds on an earlier derivation of mor","authors_text":"L. Feher, T.F. Gorbe","cross_cats":["hep-th","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-31T17:31:29Z","title":"Trigonometric and elliptic Ruijsenaars-Schneider systems on the complex projective space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09736","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:bbf7bebb0b42b322aa38e45080dce28f49ac1b80916d9c7103ec543c88d25d3f","target":"record","created_at":"2026-05-18T01:03:42Z","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":"f356600d210c46ad5ccbb9bd699150fc76f496debb99bc39d5931db3e881673a","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-31T17:31:29Z","title_canon_sha256":"415f9416a1c31cfa4b1083325c455c47db071d05468bf87eee6d14f4291ef134"},"schema_version":"1.0","source":{"id":"1605.09736","kind":"arxiv","version":2}},"canonical_sha256":"f58e3d9b85ee82b220600440b77c93e0e5b265a59893b3d5eade7f2f77eee3d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f58e3d9b85ee82b220600440b77c93e0e5b265a59893b3d5eade7f2f77eee3d6","first_computed_at":"2026-05-18T01:03:42.730099Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:42.730099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HmPX5Yf1rTqgZF0PfH5ubB1RKHBuNyqMeUm8ZPn/umlny6TufYAtskyxL8qIGv3x/dvGpbqYy6vlpEJsSSdJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:42.730523Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.09736","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbf7bebb0b42b322aa38e45080dce28f49ac1b80916d9c7103ec543c88d25d3f","sha256:d8827dbb524e70e2bec5d632bfb949543e2d8d2938e7f8e6b16cd6cd58d2c1cc"],"state_sha256":"d1d0bb17a3c58934c76e3aeee27b02d078fcae91303a1c21fc59f6397361e215"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o98Ws6+PlipkiobW+XPv/q4EjJJCouQB2b8DU/ijueqpxcCgy5ZCmrWwSqoz4tMYWGdInumFBd/sBrHa89/CCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T08:58:59.833512Z","bundle_sha256":"a255f9fd2d1523ce0b4faddb87de131763516534b16bea42ed11d7013f6c22c6"}}