{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:ZWMIJZSZPTOOUXPIZIMT2NJGVF","short_pith_number":"pith:ZWMIJZSZ","canonical_record":{"source":{"id":"2307.07825","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2023-07-15T15:12:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d827bd36603d6100198f1d3f159170a49f399697983e0fa7bac02ad3a9cb3f65","abstract_canon_sha256":"1a950e0fb2923b5943baffd474d0e621cc15142ed8a1ec3d86a81cdb05184f31"},"schema_version":"1.0"},"canonical_sha256":"cd9884e6597cdcea5de8ca193d3526a97102b16c2304f17334b295284fc99ed1","source":{"kind":"arxiv","id":"2307.07825","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.07825","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"arxiv_version","alias_value":"2307.07825v1","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.07825","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZWMIJZSZPTOO","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"pith_short_16","alias_value":"ZWMIJZSZPTOOUXPI","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"pith_short_8","alias_value":"ZWMIJZSZ","created_at":"2026-07-05T06:31:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:ZWMIJZSZPTOOUXPIZIMT2NJGVF","target":"record","payload":{"canonical_record":{"source":{"id":"2307.07825","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2023-07-15T15:12:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d827bd36603d6100198f1d3f159170a49f399697983e0fa7bac02ad3a9cb3f65","abstract_canon_sha256":"1a950e0fb2923b5943baffd474d0e621cc15142ed8a1ec3d86a81cdb05184f31"},"schema_version":"1.0"},"canonical_sha256":"cd9884e6597cdcea5de8ca193d3526a97102b16c2304f17334b295284fc99ed1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:31:16.237075Z","signature_b64":"1qV6fZ3y/OmjGLfkiTqLCZY0h/5ONYBY1uvaEE4aLZyDaIX8OKYFpRHFk/NavPm+HzC2FjP9jDKV4iiZeCMUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd9884e6597cdcea5de8ca193d3526a97102b16c2304f17334b295284fc99ed1","last_reissued_at":"2026-07-05T06:31:16.236648Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:31:16.236648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.07825","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":"2026-07-05T06:31:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ygC033b5i5JDofGltqGjq8eFKHrvCrFHTpE7lQ7wUy1OBKz/psebka0L9Mc5eB0UA3MTizQKj7bq73N3nzk7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T11:30:24.840758Z"},"content_sha256":"44939b9d069c71a15d834e92d63e78f83d56f70661f05dd40d3b6b54590af78d","schema_version":"1.0","event_id":"sha256:44939b9d069c71a15d834e92d63e78f83d56f70661f05dd40d3b6b54590af78d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:ZWMIJZSZPTOOUXPIZIMT2NJGVF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Why is my rational Painlev\\'e V solution not unique?","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"A.H. Zimerman, G.V. Lobo, H. Aratyn, J.F. Gomes","submitted_at":"2023-07-15T15:12:15Z","abstract_excerpt":"Under special conditions the Painlev\\'e V equation has more than one rational solution solving it with the same parameters.\n  In the setting of formalism that identifies points on orbits of the fundamental shift operators of $A^{(1)}_{3}$ affine Weyl group with rational solutions we derive conditions for such non-uniqueness to occur.\n  We identify the seed solutions from which the non-unique solutions are generated and put forward a method to systematically obtain their closed expressions from the underlying seed solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.07825","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.07825/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:31:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w6NLBSoPUjOCKGxjKqrCXsuUYTiafocJBOV78xrsJ9WZePuLCbVU0FZyf/CelecSatTGURD88tl7CZCi4UszBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T11:30:24.841384Z"},"content_sha256":"b1b529b13f0da7f0063fd550e3f12adf1a5e50334c745c7eb147d9491d8409fa","schema_version":"1.0","event_id":"sha256:b1b529b13f0da7f0063fd550e3f12adf1a5e50334c745c7eb147d9491d8409fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZWMIJZSZPTOOUXPIZIMT2NJGVF/bundle.json","state_url":"https://pith.science/pith/ZWMIJZSZPTOOUXPIZIMT2NJGVF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZWMIJZSZPTOOUXPIZIMT2NJGVF/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":"2026-08-12T11:30:24Z","links":{"resolver":"https://pith.science/pith/ZWMIJZSZPTOOUXPIZIMT2NJGVF","bundle":"https://pith.science/pith/ZWMIJZSZPTOOUXPIZIMT2NJGVF/bundle.json","state":"https://pith.science/pith/ZWMIJZSZPTOOUXPIZIMT2NJGVF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZWMIJZSZPTOOUXPIZIMT2NJGVF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ZWMIJZSZPTOOUXPIZIMT2NJGVF","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":"1a950e0fb2923b5943baffd474d0e621cc15142ed8a1ec3d86a81cdb05184f31","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2023-07-15T15:12:15Z","title_canon_sha256":"d827bd36603d6100198f1d3f159170a49f399697983e0fa7bac02ad3a9cb3f65"},"schema_version":"1.0","source":{"id":"2307.07825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.07825","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"arxiv_version","alias_value":"2307.07825v1","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.07825","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZWMIJZSZPTOO","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"pith_short_16","alias_value":"ZWMIJZSZPTOOUXPI","created_at":"2026-07-05T06:31:16Z"},{"alias_kind":"pith_short_8","alias_value":"ZWMIJZSZ","created_at":"2026-07-05T06:31:16Z"}],"graph_snapshots":[{"event_id":"sha256:b1b529b13f0da7f0063fd550e3f12adf1a5e50334c745c7eb147d9491d8409fa","target":"graph","created_at":"2026-07-05T06:31:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.07825/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Under special conditions the Painlev\\'e V equation has more than one rational solution solving it with the same parameters.\n  In the setting of formalism that identifies points on orbits of the fundamental shift operators of $A^{(1)}_{3}$ affine Weyl group with rational solutions we derive conditions for such non-uniqueness to occur.\n  We identify the seed solutions from which the non-unique solutions are generated and put forward a method to systematically obtain their closed expressions from the underlying seed solutions.","authors_text":"A.H. Zimerman, G.V. Lobo, H. Aratyn, J.F. Gomes","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2023-07-15T15:12:15Z","title":"Why is my rational Painlev\\'e V solution not unique?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.07825","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":"sha256:44939b9d069c71a15d834e92d63e78f83d56f70661f05dd40d3b6b54590af78d","target":"record","created_at":"2026-07-05T06:31:16Z","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":"1a950e0fb2923b5943baffd474d0e621cc15142ed8a1ec3d86a81cdb05184f31","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2023-07-15T15:12:15Z","title_canon_sha256":"d827bd36603d6100198f1d3f159170a49f399697983e0fa7bac02ad3a9cb3f65"},"schema_version":"1.0","source":{"id":"2307.07825","kind":"arxiv","version":1}},"canonical_sha256":"cd9884e6597cdcea5de8ca193d3526a97102b16c2304f17334b295284fc99ed1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd9884e6597cdcea5de8ca193d3526a97102b16c2304f17334b295284fc99ed1","first_computed_at":"2026-07-05T06:31:16.236648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:31:16.236648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1qV6fZ3y/OmjGLfkiTqLCZY0h/5ONYBY1uvaEE4aLZyDaIX8OKYFpRHFk/NavPm+HzC2FjP9jDKV4iiZeCMUDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:31:16.237075Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.07825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44939b9d069c71a15d834e92d63e78f83d56f70661f05dd40d3b6b54590af78d","sha256:b1b529b13f0da7f0063fd550e3f12adf1a5e50334c745c7eb147d9491d8409fa"],"state_sha256":"1c509828bfbdb59ff947a4f7d68beca48a9f831a7dcceb6d5d5495eabfaea72c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4I2H1/SbbFhoW7Y3e1IHP4FoEtz5sU8ezQeDsymvAZMzLsPBkhd/EIMpdrZ7oKvRfrcuuHtWy25lM++IQ3//Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T11:30:24.845411Z","bundle_sha256":"d0b3db3c04849a661e493333e38b71f77efa989875d214f392788332a5bfbd8d"}}