{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4SFSITF3IID4C5HFBN7KASKD7X","short_pith_number":"pith:4SFSITF3","canonical_record":{"source":{"id":"1206.4456","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-20T11:01:37Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"4faae171751b40aee0b9c972a8fa6da0ce9c9cf85b673c77c13c54c48ab49b1c","abstract_canon_sha256":"814b1eb7d7a1271dc5771314e56767ce580a9eba66564064264052b1253ab300"},"schema_version":"1.0"},"canonical_sha256":"e48b244cbb4207c174e50b7ea04943fdf079b04e430ec3f486b56b7cf58e9deb","source":{"kind":"arxiv","id":"1206.4456","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4456","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4456v1","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4456","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"4SFSITF3IID4","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4SFSITF3IID4C5HF","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4SFSITF3","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4SFSITF3IID4C5HFBN7KASKD7X","target":"record","payload":{"canonical_record":{"source":{"id":"1206.4456","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-20T11:01:37Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"4faae171751b40aee0b9c972a8fa6da0ce9c9cf85b673c77c13c54c48ab49b1c","abstract_canon_sha256":"814b1eb7d7a1271dc5771314e56767ce580a9eba66564064264052b1253ab300"},"schema_version":"1.0"},"canonical_sha256":"e48b244cbb4207c174e50b7ea04943fdf079b04e430ec3f486b56b7cf58e9deb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:58.614192Z","signature_b64":"WGVNIL3keJjeYOgtwoqb0VBt4gJOS08ntHccLXjr9gWsJaiBcfUtHH+cJ+QlW219EKL7kWUSpSJhNyF/+oXyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e48b244cbb4207c174e50b7ea04943fdf079b04e430ec3f486b56b7cf58e9deb","last_reissued_at":"2026-05-18T03:48:58.613735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:58.613735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.4456","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":"2026-05-18T03:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w6V6CK7KqKl2YEYY2lk+7OnlyEaO0oL2Ag/KJubJSlnWFJj3luygf2/bAVJS+OjhUCUX2zBOfJyMyZsqQzVaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:37:24.391602Z"},"content_sha256":"117198c448dfd87f9a7230c24d283903124b7fb179521b1bead6d2f3b0182fc4","schema_version":"1.0","event_id":"sha256:117198c448dfd87f9a7230c24d283903124b7fb179521b1bead6d2f3b0182fc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4SFSITF3IID4C5HFBN7KASKD7X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Painleve II equation over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Jun Mada, K. M. Tamizhmani, Masataka Kanki, Tetsuji Tokihiro","submitted_at":"2012-06-20T11:01:37Z","abstract_excerpt":"We investigate the discrete Painleve II equation over finite fields. We treat it over local fields and observe that it has a property that is similar to the good reduction over finite fields. We can use this property, which seems to be an arithmetic analogue of singularity confinement, to avoid the indeterminacy of the equations over finite fields and to obtain special solutions from those defined originally over fields of characteristic zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4456","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":"2026-05-18T03:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HeLzS3pZK/xQrAXaxj6YBtCq1rSqQDVgemH/saANCw/r+9uZ7vJw2BA3c0dizovqYQuHfCGGcbtZypnMrwaCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:37:24.391934Z"},"content_sha256":"ffe886f49fb340e953cbea7c89f1d940276539201e59b5d1509dffcfb5252609","schema_version":"1.0","event_id":"sha256:ffe886f49fb340e953cbea7c89f1d940276539201e59b5d1509dffcfb5252609"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SFSITF3IID4C5HFBN7KASKD7X/bundle.json","state_url":"https://pith.science/pith/4SFSITF3IID4C5HFBN7KASKD7X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SFSITF3IID4C5HFBN7KASKD7X/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":"2026-06-08T13:37:24Z","links":{"resolver":"https://pith.science/pith/4SFSITF3IID4C5HFBN7KASKD7X","bundle":"https://pith.science/pith/4SFSITF3IID4C5HFBN7KASKD7X/bundle.json","state":"https://pith.science/pith/4SFSITF3IID4C5HFBN7KASKD7X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SFSITF3IID4C5HFBN7KASKD7X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4SFSITF3IID4C5HFBN7KASKD7X","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":"814b1eb7d7a1271dc5771314e56767ce580a9eba66564064264052b1253ab300","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-20T11:01:37Z","title_canon_sha256":"4faae171751b40aee0b9c972a8fa6da0ce9c9cf85b673c77c13c54c48ab49b1c"},"schema_version":"1.0","source":{"id":"1206.4456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4456","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4456v1","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4456","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"4SFSITF3IID4","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4SFSITF3IID4C5HF","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4SFSITF3","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:ffe886f49fb340e953cbea7c89f1d940276539201e59b5d1509dffcfb5252609","target":"graph","created_at":"2026-05-18T03:48:58Z","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 investigate the discrete Painleve II equation over finite fields. We treat it over local fields and observe that it has a property that is similar to the good reduction over finite fields. We can use this property, which seems to be an arithmetic analogue of singularity confinement, to avoid the indeterminacy of the equations over finite fields and to obtain special solutions from those defined originally over fields of characteristic zero.","authors_text":"Jun Mada, K. M. Tamizhmani, Masataka Kanki, Tetsuji Tokihiro","cross_cats":["math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-20T11:01:37Z","title":"Discrete Painleve II equation over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4456","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":"sha256:117198c448dfd87f9a7230c24d283903124b7fb179521b1bead6d2f3b0182fc4","target":"record","created_at":"2026-05-18T03:48:58Z","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":"814b1eb7d7a1271dc5771314e56767ce580a9eba66564064264052b1253ab300","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-20T11:01:37Z","title_canon_sha256":"4faae171751b40aee0b9c972a8fa6da0ce9c9cf85b673c77c13c54c48ab49b1c"},"schema_version":"1.0","source":{"id":"1206.4456","kind":"arxiv","version":1}},"canonical_sha256":"e48b244cbb4207c174e50b7ea04943fdf079b04e430ec3f486b56b7cf58e9deb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e48b244cbb4207c174e50b7ea04943fdf079b04e430ec3f486b56b7cf58e9deb","first_computed_at":"2026-05-18T03:48:58.613735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:58.613735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WGVNIL3keJjeYOgtwoqb0VBt4gJOS08ntHccLXjr9gWsJaiBcfUtHH+cJ+QlW219EKL7kWUSpSJhNyF/+oXyDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:58.614192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.4456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:117198c448dfd87f9a7230c24d283903124b7fb179521b1bead6d2f3b0182fc4","sha256:ffe886f49fb340e953cbea7c89f1d940276539201e59b5d1509dffcfb5252609"],"state_sha256":"b4357e395f1cbd7c1899d07f86101c8006ce4baa4b7e4862330281d8af8d8e95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ss7y9ehZ3Octrp9e4Jy3w/aq7S0IKdq/AsLrID1rh3LJvEhbdUMaM4rFmaU85gVDTikMptan1VYKBZ2ux4VsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T13:37:24.393687Z","bundle_sha256":"6409b98e0401e1cc6d678e8226d3811e1848b148dc5cb54f99c3b06da71175a9"}}