{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AX4RN6U4KM54M3HF4KJAF5JCMQ","short_pith_number":"pith:AX4RN6U4","canonical_record":{"source":{"id":"1503.07053","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-03-24T14:18:41Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c3a0bd38567c56bccd5093be1c40515172647b4e2bc307458dc29e7ce6484533","abstract_canon_sha256":"22a00a4b73776180b95b5fdd020cbbf7864e28226a97d4d27220c5b3854c6a78"},"schema_version":"1.0"},"canonical_sha256":"05f916fa9c533bc66ce5e29202f522641c27956d01dd14e6a8e8c70869fa39de","source":{"kind":"arxiv","id":"1503.07053","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07053","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07053v2","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07053","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"AX4RN6U4KM54","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AX4RN6U4KM54M3HF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AX4RN6U4","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AX4RN6U4KM54M3HF4KJAF5JCMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1503.07053","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-03-24T14:18:41Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c3a0bd38567c56bccd5093be1c40515172647b4e2bc307458dc29e7ce6484533","abstract_canon_sha256":"22a00a4b73776180b95b5fdd020cbbf7864e28226a97d4d27220c5b3854c6a78"},"schema_version":"1.0"},"canonical_sha256":"05f916fa9c533bc66ce5e29202f522641c27956d01dd14e6a8e8c70869fa39de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:02.456759Z","signature_b64":"LK3pTU5WK4unBWeXESONlSel+4prak9qjp3/jeAtaQGWJboMrdY+MGSHqoHVecsu7oi/99lSU2niWHOtd4dmAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05f916fa9c533bc66ce5e29202f522641c27956d01dd14e6a8e8c70869fa39de","last_reissued_at":"2026-05-18T00:25:02.456352Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:02.456352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.07053","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":"2026-05-18T00:25:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UGmnI5GsiRCfzzYHIfjGl6ALN6MuGCvHEeALWHqE4zXTxqkr/jdDoec+2N+IVCaADVGBg3MkDyBdTLg28Pj7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:21:58.168978Z"},"content_sha256":"81e599a5186daeaedf6494848f171cac4ac31048a68be14a93346c9765aabd5d","schema_version":"1.0","event_id":"sha256:81e599a5186daeaedf6494848f171cac4ac31048a68be14a93346c9765aabd5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AX4RN6U4KM54M3HF4KJAF5JCMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"nlin.SI","authors_text":"Bozidar Jovanovic, Yuri N. Fedorov","submitted_at":"2015-03-24T14:18:41Z","abstract_excerpt":"We study geometric and algebraic geometric properties of the continuous and discrete Neumann systems on cotangent bundles of Stiefel varieties $V_{n,r}$. The systems are integrable in the non-commutative sense, and by applying a $2r\\times 2r$--Lax representation, we show that generic complex invariant manifolds are open subsets of affine (non-compact) Prym varieties on which the complex flow is linear. The characteristics of the varieties and the direction of the flow are calculated explicitly. Next, we construct a family of (multi-valued) integrable discretizations of the Neumann systems and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07053","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":"2026-05-18T00:25:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mHWU8xvk+IdYr7Wa+z3OTMNnd1LgMNUrIngJyM9ZyMdliUyt5e8NqTEVOJBsqnOeEebfDThVLnt9FokRbVy8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:21:58.169344Z"},"content_sha256":"8e33c65cbeac4c3a0efcf05264728ef1a6c67aeb17c78371baef05749df7f65e","schema_version":"1.0","event_id":"sha256:8e33c65cbeac4c3a0efcf05264728ef1a6c67aeb17c78371baef05749df7f65e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AX4RN6U4KM54M3HF4KJAF5JCMQ/bundle.json","state_url":"https://pith.science/pith/AX4RN6U4KM54M3HF4KJAF5JCMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AX4RN6U4KM54M3HF4KJAF5JCMQ/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":"2026-06-23T16:21:58Z","links":{"resolver":"https://pith.science/pith/AX4RN6U4KM54M3HF4KJAF5JCMQ","bundle":"https://pith.science/pith/AX4RN6U4KM54M3HF4KJAF5JCMQ/bundle.json","state":"https://pith.science/pith/AX4RN6U4KM54M3HF4KJAF5JCMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AX4RN6U4KM54M3HF4KJAF5JCMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AX4RN6U4KM54M3HF4KJAF5JCMQ","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":"22a00a4b73776180b95b5fdd020cbbf7864e28226a97d4d27220c5b3854c6a78","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-03-24T14:18:41Z","title_canon_sha256":"c3a0bd38567c56bccd5093be1c40515172647b4e2bc307458dc29e7ce6484533"},"schema_version":"1.0","source":{"id":"1503.07053","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07053","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07053v2","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07053","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"AX4RN6U4KM54","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AX4RN6U4KM54M3HF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AX4RN6U4","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:8e33c65cbeac4c3a0efcf05264728ef1a6c67aeb17c78371baef05749df7f65e","target":"graph","created_at":"2026-05-18T00:25:02Z","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 study geometric and algebraic geometric properties of the continuous and discrete Neumann systems on cotangent bundles of Stiefel varieties $V_{n,r}$. The systems are integrable in the non-commutative sense, and by applying a $2r\\times 2r$--Lax representation, we show that generic complex invariant manifolds are open subsets of affine (non-compact) Prym varieties on which the complex flow is linear. The characteristics of the varieties and the direction of the flow are calculated explicitly. Next, we construct a family of (multi-valued) integrable discretizations of the Neumann systems and ","authors_text":"Bozidar Jovanovic, Yuri N. Fedorov","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-03-24T14:18:41Z","title":"Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07053","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":"sha256:81e599a5186daeaedf6494848f171cac4ac31048a68be14a93346c9765aabd5d","target":"record","created_at":"2026-05-18T00:25:02Z","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":"22a00a4b73776180b95b5fdd020cbbf7864e28226a97d4d27220c5b3854c6a78","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-03-24T14:18:41Z","title_canon_sha256":"c3a0bd38567c56bccd5093be1c40515172647b4e2bc307458dc29e7ce6484533"},"schema_version":"1.0","source":{"id":"1503.07053","kind":"arxiv","version":2}},"canonical_sha256":"05f916fa9c533bc66ce5e29202f522641c27956d01dd14e6a8e8c70869fa39de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05f916fa9c533bc66ce5e29202f522641c27956d01dd14e6a8e8c70869fa39de","first_computed_at":"2026-05-18T00:25:02.456352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:02.456352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LK3pTU5WK4unBWeXESONlSel+4prak9qjp3/jeAtaQGWJboMrdY+MGSHqoHVecsu7oi/99lSU2niWHOtd4dmAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:02.456759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07053","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81e599a5186daeaedf6494848f171cac4ac31048a68be14a93346c9765aabd5d","sha256:8e33c65cbeac4c3a0efcf05264728ef1a6c67aeb17c78371baef05749df7f65e"],"state_sha256":"afea5459c3af5a6e077e7ca11dc14777b790f57e2cb0003a42c907046a012c10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SL0vO1nIshm23rMoUxH12T+LBMv2cWTXufmyUkRCOVqP05CPygJ0Obv2faN3meW92VAlimSdao4bR+nYXiptCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:21:58.171418Z","bundle_sha256":"eae335f9eb8e9ef560d65113ad3357dc6ce3387979fc39e14580c2003c4b668e"}}