{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JT5HH2DCYOT4HH4IUL2X255HGX","short_pith_number":"pith:JT5HH2DC","canonical_record":{"source":{"id":"1403.3470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-14T01:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"ac55c7c5a4e878805d6ecb169f01bba58fa9a7e3dad3a7f16d4325fb3632d217","abstract_canon_sha256":"1beebf273865c213981421e0c411571628530a0db0393535863c620d18dbd926"},"schema_version":"1.0"},"canonical_sha256":"4cfa73e862c3a7c39f88a2f57d77a735cb53042eadb63979cbf3f770f6f820e4","source":{"kind":"arxiv","id":"1403.3470","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3470","created_at":"2026-05-18T02:56:20Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3470v1","created_at":"2026-05-18T02:56:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3470","created_at":"2026-05-18T02:56:20Z"},{"alias_kind":"pith_short_12","alias_value":"JT5HH2DCYOT4","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JT5HH2DCYOT4HH4I","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JT5HH2DC","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JT5HH2DCYOT4HH4IUL2X255HGX","target":"record","payload":{"canonical_record":{"source":{"id":"1403.3470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-14T01:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"ac55c7c5a4e878805d6ecb169f01bba58fa9a7e3dad3a7f16d4325fb3632d217","abstract_canon_sha256":"1beebf273865c213981421e0c411571628530a0db0393535863c620d18dbd926"},"schema_version":"1.0"},"canonical_sha256":"4cfa73e862c3a7c39f88a2f57d77a735cb53042eadb63979cbf3f770f6f820e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:20.340865Z","signature_b64":"LWpO4ZpYclzMEv2T6kf3BN9k/s/CxwQ6zbpYmYdbX7LjY2aGK4mWjTgQgo2Frx8MIpF3o5j7c/v59yPgLxAxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cfa73e862c3a7c39f88a2f57d77a735cb53042eadb63979cbf3f770f6f820e4","last_reissued_at":"2026-05-18T02:56:20.340107Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:20.340107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.3470","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":"2026-05-18T02:56:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9RdMeRwSrG+EI63Ao8XIppm+KMjJi9UsnrvcSU2j+XwsmukfeqiS2jwSDhD7T9mWKg2B+ORt4w/OOVYNKbnFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:16:18.180653Z"},"content_sha256":"e3ff55a85ddc439f8da15675930d7be490e2ff1cb8cc4962439ad60eab582159","schema_version":"1.0","event_id":"sha256:e3ff55a85ddc439f8da15675930d7be490e2ff1cb8cc4962439ad60eab582159"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JT5HH2DCYOT4HH4IUL2X255HGX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the integral values of a curious recurrence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Francesco Veneziano, Roberto Dvornicich, Umberto Zannier","submitted_at":"2014-03-14T01:04:01Z","abstract_excerpt":"We discuss a problem initially thought for the Mathematical Olympiad but which has several interpretations. The recurrence sequences involved in this problem may be generalized to recurrence sequences related to a much larger set of diophantine equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3470","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":"2026-05-18T02:56:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FSZcNCcHmbaMq8pyyUFLYrPBkFP+nDAWAeAnteK6zhe4WtuIFXW/qd2DRDATUiLvtyAehp/jRv7iEnlahpVtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:16:18.180998Z"},"content_sha256":"fd4e347b9e97a80455a14b32ba67fe8872927b18f28c33153da00347f22c607e","schema_version":"1.0","event_id":"sha256:fd4e347b9e97a80455a14b32ba67fe8872927b18f28c33153da00347f22c607e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JT5HH2DCYOT4HH4IUL2X255HGX/bundle.json","state_url":"https://pith.science/pith/JT5HH2DCYOT4HH4IUL2X255HGX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JT5HH2DCYOT4HH4IUL2X255HGX/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":"2026-06-03T20:16:18Z","links":{"resolver":"https://pith.science/pith/JT5HH2DCYOT4HH4IUL2X255HGX","bundle":"https://pith.science/pith/JT5HH2DCYOT4HH4IUL2X255HGX/bundle.json","state":"https://pith.science/pith/JT5HH2DCYOT4HH4IUL2X255HGX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JT5HH2DCYOT4HH4IUL2X255HGX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JT5HH2DCYOT4HH4IUL2X255HGX","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":"1beebf273865c213981421e0c411571628530a0db0393535863c620d18dbd926","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-14T01:04:01Z","title_canon_sha256":"ac55c7c5a4e878805d6ecb169f01bba58fa9a7e3dad3a7f16d4325fb3632d217"},"schema_version":"1.0","source":{"id":"1403.3470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3470","created_at":"2026-05-18T02:56:20Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3470v1","created_at":"2026-05-18T02:56:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3470","created_at":"2026-05-18T02:56:20Z"},{"alias_kind":"pith_short_12","alias_value":"JT5HH2DCYOT4","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JT5HH2DCYOT4HH4I","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JT5HH2DC","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:fd4e347b9e97a80455a14b32ba67fe8872927b18f28c33153da00347f22c607e","target":"graph","created_at":"2026-05-18T02:56:20Z","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 discuss a problem initially thought for the Mathematical Olympiad but which has several interpretations. The recurrence sequences involved in this problem may be generalized to recurrence sequences related to a much larger set of diophantine equations.","authors_text":"Francesco Veneziano, Roberto Dvornicich, Umberto Zannier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-14T01:04:01Z","title":"On the integral values of a curious recurrence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3470","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:e3ff55a85ddc439f8da15675930d7be490e2ff1cb8cc4962439ad60eab582159","target":"record","created_at":"2026-05-18T02:56:20Z","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":"1beebf273865c213981421e0c411571628530a0db0393535863c620d18dbd926","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-14T01:04:01Z","title_canon_sha256":"ac55c7c5a4e878805d6ecb169f01bba58fa9a7e3dad3a7f16d4325fb3632d217"},"schema_version":"1.0","source":{"id":"1403.3470","kind":"arxiv","version":1}},"canonical_sha256":"4cfa73e862c3a7c39f88a2f57d77a735cb53042eadb63979cbf3f770f6f820e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cfa73e862c3a7c39f88a2f57d77a735cb53042eadb63979cbf3f770f6f820e4","first_computed_at":"2026-05-18T02:56:20.340107Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:20.340107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LWpO4ZpYclzMEv2T6kf3BN9k/s/CxwQ6zbpYmYdbX7LjY2aGK4mWjTgQgo2Frx8MIpF3o5j7c/v59yPgLxAxDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:20.340865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3ff55a85ddc439f8da15675930d7be490e2ff1cb8cc4962439ad60eab582159","sha256:fd4e347b9e97a80455a14b32ba67fe8872927b18f28c33153da00347f22c607e"],"state_sha256":"50913460ecb47777b34326cd2f74d13e3f435fdfd9859456f371811624fb4a4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X/abNjFWyeeyndee8/VPcsBk6oqxB+18Rsj3pg06yAQIrlc8af8sotj9H6SpJ27jel7QUEyeh6MbpHNZ3Zx9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:16:18.182938Z","bundle_sha256":"e9ccd3a80ae858566428e78d53b5408af8a706d87173c6cac831b94a35761837"}}