{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:IJH4DOTHWS5AJL34SV2MYQNYW6","short_pith_number":"pith:IJH4DOTH","canonical_record":{"source":{"id":"math-ph/9903019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"1999-03-09T17:38:33Z","cross_cats_sorted":["math.AG","math.MP"],"title_canon_sha256":"b2b28804538135fca865b186a667f8b639d57bb0e34b60923801adfffee8a8cb","abstract_canon_sha256":"4ab7e3173849bea9698538f55ea006c2a2d2778829240a8c7b85c39cf8e01e26"},"schema_version":"1.0"},"canonical_sha256":"424fc1ba67b4ba04af7c9574cc41b8b79b11a81be3b09149b70033ebee385f93","source":{"kind":"arxiv","id":"math-ph/9903019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/9903019","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9903019v1","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9903019","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"pith_short_12","alias_value":"IJH4DOTHWS5A","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IJH4DOTHWS5AJL34","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IJH4DOTH","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:IJH4DOTHWS5AJL34SV2MYQNYW6","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/9903019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"1999-03-09T17:38:33Z","cross_cats_sorted":["math.AG","math.MP"],"title_canon_sha256":"b2b28804538135fca865b186a667f8b639d57bb0e34b60923801adfffee8a8cb","abstract_canon_sha256":"4ab7e3173849bea9698538f55ea006c2a2d2778829240a8c7b85c39cf8e01e26"},"schema_version":"1.0"},"canonical_sha256":"424fc1ba67b4ba04af7c9574cc41b8b79b11a81be3b09149b70033ebee385f93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:30.616585Z","signature_b64":"Y88h+TZWuJNNxF3bt5/hGYlQJq8m7KqSzBBTa4voAjeAnZhj4O4XofArbTR3UKlAvDuuYY/+p2ZLd0qDIg0JDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"424fc1ba67b4ba04af7c9574cc41b8b79b11a81be3b09149b70033ebee385f93","last_reissued_at":"2026-05-18T01:38:30.616137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:30.616137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/9903019","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":"2026-05-18T01:38:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aTrUUM+wrN/S9vt+B0HyV6iCJGmS5Yb3oMLUNk4CBjPgPYSPfmNuWdKcsJy4C4ogvMH4QCR8UKfg3HXh1CJHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:49:17.371558Z"},"content_sha256":"f3dc19b5602a4bc3cd624e66b6fd9569a729f7f174d79d98e6c40f5c241e15e5","schema_version":"1.0","event_id":"sha256:f3dc19b5602a4bc3cd624e66b6fd9569a729f7f174d79d98e6c40f5c241e15e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:IJH4DOTHWS5AJL34SV2MYQNYW6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multidimensional Baker-Akhiezer functions and Huygens' Principle","license":"","headline":"","cross_cats":["math.AG","math.MP"],"primary_cat":"math-ph","authors_text":"A.P.Veselov, M.V.Feigin, O.A.Chalykh","submitted_at":"1999-03-09T17:38:33Z","abstract_excerpt":"A notion of rational Baker-Akhiezer (BA) function related to a configuration of hyperplanes in C^n is introduced. It is proved that BA function exists only for very special configurations (locus configurations), which satisfy certain overdetermined algebraic system. The BA functions satisfy some algebraically integrable Schrodinger equations, so any locus configuration determines such an equation. Some results towards the classification of all locus configurations are presented. This theory is applied to the famous Hadamard's problem of description of all hyperbolic equations satisfying Huygen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9903019","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":"2026-05-18T01:38:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M49OB/IVrQ7gh9ZNazCJdzcq2jyODDs0urTcfdrMDCFtVzyo0XV+1w1Jow914CTZssNZFPt5H0TtGihFpnLHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:49:17.372010Z"},"content_sha256":"f8e095e851829b89078b9ba02f193615e615ad451669e148feb0c31d4550ea6b","schema_version":"1.0","event_id":"sha256:f8e095e851829b89078b9ba02f193615e615ad451669e148feb0c31d4550ea6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IJH4DOTHWS5AJL34SV2MYQNYW6/bundle.json","state_url":"https://pith.science/pith/IJH4DOTHWS5AJL34SV2MYQNYW6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IJH4DOTHWS5AJL34SV2MYQNYW6/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":"2026-08-20T02:49:17Z","links":{"resolver":"https://pith.science/pith/IJH4DOTHWS5AJL34SV2MYQNYW6","bundle":"https://pith.science/pith/IJH4DOTHWS5AJL34SV2MYQNYW6/bundle.json","state":"https://pith.science/pith/IJH4DOTHWS5AJL34SV2MYQNYW6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IJH4DOTHWS5AJL34SV2MYQNYW6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:IJH4DOTHWS5AJL34SV2MYQNYW6","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":"4ab7e3173849bea9698538f55ea006c2a2d2778829240a8c7b85c39cf8e01e26","cross_cats_sorted":["math.AG","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"1999-03-09T17:38:33Z","title_canon_sha256":"b2b28804538135fca865b186a667f8b639d57bb0e34b60923801adfffee8a8cb"},"schema_version":"1.0","source":{"id":"math-ph/9903019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/9903019","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9903019v1","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9903019","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"pith_short_12","alias_value":"IJH4DOTHWS5A","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IJH4DOTHWS5AJL34","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IJH4DOTH","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:f8e095e851829b89078b9ba02f193615e615ad451669e148feb0c31d4550ea6b","target":"graph","created_at":"2026-05-18T01:38:30Z","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":"A notion of rational Baker-Akhiezer (BA) function related to a configuration of hyperplanes in C^n is introduced. It is proved that BA function exists only for very special configurations (locus configurations), which satisfy certain overdetermined algebraic system. The BA functions satisfy some algebraically integrable Schrodinger equations, so any locus configuration determines such an equation. Some results towards the classification of all locus configurations are presented. This theory is applied to the famous Hadamard's problem of description of all hyperbolic equations satisfying Huygen","authors_text":"A.P.Veselov, M.V.Feigin, O.A.Chalykh","cross_cats":["math.AG","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"1999-03-09T17:38:33Z","title":"Multidimensional Baker-Akhiezer functions and Huygens' Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9903019","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:f3dc19b5602a4bc3cd624e66b6fd9569a729f7f174d79d98e6c40f5c241e15e5","target":"record","created_at":"2026-05-18T01:38:30Z","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":"4ab7e3173849bea9698538f55ea006c2a2d2778829240a8c7b85c39cf8e01e26","cross_cats_sorted":["math.AG","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"1999-03-09T17:38:33Z","title_canon_sha256":"b2b28804538135fca865b186a667f8b639d57bb0e34b60923801adfffee8a8cb"},"schema_version":"1.0","source":{"id":"math-ph/9903019","kind":"arxiv","version":1}},"canonical_sha256":"424fc1ba67b4ba04af7c9574cc41b8b79b11a81be3b09149b70033ebee385f93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"424fc1ba67b4ba04af7c9574cc41b8b79b11a81be3b09149b70033ebee385f93","first_computed_at":"2026-05-18T01:38:30.616137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:30.616137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y88h+TZWuJNNxF3bt5/hGYlQJq8m7KqSzBBTa4voAjeAnZhj4O4XofArbTR3UKlAvDuuYY/+p2ZLd0qDIg0JDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:30.616585Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/9903019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3dc19b5602a4bc3cd624e66b6fd9569a729f7f174d79d98e6c40f5c241e15e5","sha256:f8e095e851829b89078b9ba02f193615e615ad451669e148feb0c31d4550ea6b"],"state_sha256":"64f8cfd6b34a0e799782d1089d78e670374f3f8a439bed415594884ff91ac40a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpxxRQ+EgkvKzfb+G7K2/RBqD96UI78kS6GpBkDOw+bRK3XiRjQu0lzYu7xN/uK6nmJ7Vmvy/lE1+eBExNryDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T02:49:17.376914Z","bundle_sha256":"4e4837debefefd26b6a4d38de88351be068e2e2dffd65f56138b014f2f2dd5d6"}}