{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7I4TLQAOGELBMQDWPIOX6EJEXD","short_pith_number":"pith:7I4TLQAO","canonical_record":{"source":{"id":"1706.02925","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-08T13:10:14Z","cross_cats_sorted":[],"title_canon_sha256":"4a99b912266b35dbcbeb539365a4f885b70d142d40db6960008daaa14c6bdfba","abstract_canon_sha256":"011bdcd3abf8cf12f692b5cecd6a0aeb98be4dabb8d6ff6d1d7a9eb70b665dc0"},"schema_version":"1.0"},"canonical_sha256":"fa3935c00e31161640767a1d7f1124b8ef6afe7de4567bfa95d64eb6bb497e30","source":{"kind":"arxiv","id":"1706.02925","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.02925","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"arxiv_version","alias_value":"1706.02925v1","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02925","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"pith_short_12","alias_value":"7I4TLQAOGELB","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7I4TLQAOGELBMQDW","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7I4TLQAO","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7I4TLQAOGELBMQDWPIOX6EJEXD","target":"record","payload":{"canonical_record":{"source":{"id":"1706.02925","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-08T13:10:14Z","cross_cats_sorted":[],"title_canon_sha256":"4a99b912266b35dbcbeb539365a4f885b70d142d40db6960008daaa14c6bdfba","abstract_canon_sha256":"011bdcd3abf8cf12f692b5cecd6a0aeb98be4dabb8d6ff6d1d7a9eb70b665dc0"},"schema_version":"1.0"},"canonical_sha256":"fa3935c00e31161640767a1d7f1124b8ef6afe7de4567bfa95d64eb6bb497e30","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:40.553619Z","signature_b64":"kvBlRmzReZSoH+FrLrqHb6cdHUxhiJRHjxFgeszsIOgd296gpCL3iIdI6Dpe/3J5CbS4+ahnFphlWvT4EzDmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa3935c00e31161640767a1d7f1124b8ef6afe7de4567bfa95d64eb6bb497e30","last_reissued_at":"2026-05-18T00:42:40.552989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:40.552989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.02925","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":"2026-05-18T00:42:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m00xGT6ip8ZZuDygxgWDaE5zV1faBMMVV2Wo4dv99b/etSoUD/XpEjaraseozilm1P1FSp1dSKUhFXh0ZFMuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T05:33:16.307674Z"},"content_sha256":"7c7fcdaa137b9fa98fafb5b090e15e4563aaa664e95ba6f5a9b0e1a9e78c910e","schema_version":"1.0","event_id":"sha256:7c7fcdaa137b9fa98fafb5b090e15e4563aaa664e95ba6f5a9b0e1a9e78c910e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7I4TLQAOGELBMQDWPIOX6EJEXD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Diophantine equations $z^2=f(x)^2 \\pm g(y)^2$ concerning Laurent polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Arman Shamsi Zargar, Yong Zhang","submitted_at":"2017-06-08T13:10:14Z","abstract_excerpt":"By the theory of elliptic curves, we study the nontrivial rational parametric solutions and rational solutions of the Diophantine equations $z^2=f(x)^2 \\pm g(y)^2$ for some simple Laurent polynomials $f$ and $g$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02925","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":"2026-05-18T00:42:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P7pOQm6TVI4aZ0bcBlBWqObmqZ/RBYUXV77CDdxw/6e++w+9yzlTYN+vMGIddTt4viAfS8kPtwEzHLpcQYieAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T05:33:16.308298Z"},"content_sha256":"5cfe37eb579829184668c6141b325c453569bc609e8205135d610b8da8e3a374","schema_version":"1.0","event_id":"sha256:5cfe37eb579829184668c6141b325c453569bc609e8205135d610b8da8e3a374"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7I4TLQAOGELBMQDWPIOX6EJEXD/bundle.json","state_url":"https://pith.science/pith/7I4TLQAOGELBMQDWPIOX6EJEXD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7I4TLQAOGELBMQDWPIOX6EJEXD/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":"2026-06-25T05:33:16Z","links":{"resolver":"https://pith.science/pith/7I4TLQAOGELBMQDWPIOX6EJEXD","bundle":"https://pith.science/pith/7I4TLQAOGELBMQDWPIOX6EJEXD/bundle.json","state":"https://pith.science/pith/7I4TLQAOGELBMQDWPIOX6EJEXD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7I4TLQAOGELBMQDWPIOX6EJEXD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7I4TLQAOGELBMQDWPIOX6EJEXD","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":"011bdcd3abf8cf12f692b5cecd6a0aeb98be4dabb8d6ff6d1d7a9eb70b665dc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-08T13:10:14Z","title_canon_sha256":"4a99b912266b35dbcbeb539365a4f885b70d142d40db6960008daaa14c6bdfba"},"schema_version":"1.0","source":{"id":"1706.02925","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.02925","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"arxiv_version","alias_value":"1706.02925v1","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02925","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"pith_short_12","alias_value":"7I4TLQAOGELB","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7I4TLQAOGELBMQDW","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7I4TLQAO","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:5cfe37eb579829184668c6141b325c453569bc609e8205135d610b8da8e3a374","target":"graph","created_at":"2026-05-18T00:42:40Z","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":"By the theory of elliptic curves, we study the nontrivial rational parametric solutions and rational solutions of the Diophantine equations $z^2=f(x)^2 \\pm g(y)^2$ for some simple Laurent polynomials $f$ and $g$.","authors_text":"Arman Shamsi Zargar, Yong Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-08T13:10:14Z","title":"On the Diophantine equations $z^2=f(x)^2 \\pm g(y)^2$ concerning Laurent polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02925","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":"sha256:7c7fcdaa137b9fa98fafb5b090e15e4563aaa664e95ba6f5a9b0e1a9e78c910e","target":"record","created_at":"2026-05-18T00:42:40Z","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":"011bdcd3abf8cf12f692b5cecd6a0aeb98be4dabb8d6ff6d1d7a9eb70b665dc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-08T13:10:14Z","title_canon_sha256":"4a99b912266b35dbcbeb539365a4f885b70d142d40db6960008daaa14c6bdfba"},"schema_version":"1.0","source":{"id":"1706.02925","kind":"arxiv","version":1}},"canonical_sha256":"fa3935c00e31161640767a1d7f1124b8ef6afe7de4567bfa95d64eb6bb497e30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa3935c00e31161640767a1d7f1124b8ef6afe7de4567bfa95d64eb6bb497e30","first_computed_at":"2026-05-18T00:42:40.552989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:40.552989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kvBlRmzReZSoH+FrLrqHb6cdHUxhiJRHjxFgeszsIOgd296gpCL3iIdI6Dpe/3J5CbS4+ahnFphlWvT4EzDmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:40.553619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.02925","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c7fcdaa137b9fa98fafb5b090e15e4563aaa664e95ba6f5a9b0e1a9e78c910e","sha256:5cfe37eb579829184668c6141b325c453569bc609e8205135d610b8da8e3a374"],"state_sha256":"0c1a263d3e40cf1f8ca509bbcdeb742c29b039630bb12cdd4d07ab2d34af35ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"elU8mo5CGuUZu7Qb41/KxFtVGHrr9tYtJcB/tCzEcenG4+AihfrNm0A0DpCdiym7u+lbC1XU1wa/oyTAkRbpAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T05:33:16.311213Z","bundle_sha256":"aa6c5351fda34a5a752f6ce42d9fdcbcfd1701a3792cfb0e968aee461f7b647a"}}