{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZFP73PSD56YU5KXOSQDFK5YAPB","short_pith_number":"pith:ZFP73PSD","canonical_record":{"source":{"id":"1307.3747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-14T15:18:09Z","cross_cats_sorted":[],"title_canon_sha256":"6439866a8d1b9b6bc68cd1c7ce55233c046d37200f630df937585da848d3056a","abstract_canon_sha256":"874bcca6390e81444f706df3cfaa15a41eef5a03f31c80d5371abb59ae536198"},"schema_version":"1.0"},"canonical_sha256":"c95ffdbe43efb14eaaee9406557700785d0eb14c683234949bfee0c4b14329cd","source":{"kind":"arxiv","id":"1307.3747","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3747","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3747v1","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3747","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"ZFP73PSD56YU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZFP73PSD56YU5KXO","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZFP73PSD","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZFP73PSD56YU5KXOSQDFK5YAPB","target":"record","payload":{"canonical_record":{"source":{"id":"1307.3747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-14T15:18:09Z","cross_cats_sorted":[],"title_canon_sha256":"6439866a8d1b9b6bc68cd1c7ce55233c046d37200f630df937585da848d3056a","abstract_canon_sha256":"874bcca6390e81444f706df3cfaa15a41eef5a03f31c80d5371abb59ae536198"},"schema_version":"1.0"},"canonical_sha256":"c95ffdbe43efb14eaaee9406557700785d0eb14c683234949bfee0c4b14329cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:27.992789Z","signature_b64":"L9pxLIqyOR8nF6wlcqjL3YvM/143JXp3ViYW3yfJdpMiYcLWoxBso7dA2WLH3mfjMilq4uAq7Ip5aijuEah+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c95ffdbe43efb14eaaee9406557700785d0eb14c683234949bfee0c4b14329cd","last_reissued_at":"2026-05-18T03:18:27.992254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:27.992254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.3747","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":"2026-05-18T03:18:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rG03JWeF929Neb+DVKa1c6Dn2zvkhKPvrchluLHvutIvK+onHP5/qoUPTqOmieshtviB8ss4iRwX5OUlYdfaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T22:24:56.308497Z"},"content_sha256":"8043a9d0f9d4f9a15b1bcbf5721269fc485ac8e54785c0ab66824fc61cf0c219","schema_version":"1.0","event_id":"sha256:8043a9d0f9d4f9a15b1bcbf5721269fc485ac8e54785c0ab66824fc61cf0c219"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZFP73PSD56YU5KXOSQDFK5YAPB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integral points for Drinfeld modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dragos Ghioca","submitted_at":"2013-07-14T15:18:09Z","abstract_excerpt":"We prove that in the backward orbit of a non-preperiodic point under the action of a Drinfeld module of generic characteristic there exist at most finitely many points S-integral with respect to another nonpreperiodic point. This provides the answer (in positive characteristic) to a question raised by Sookdeo. We also prove that for each nontorsion point z, there exist at most finitely many torsion points which are S-integral with respect to z. This proves a question raised by Tucker and the author, and it gives the analogue of Ih's conjecture for Drinfeld modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3747","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":"2026-05-18T03:18:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e8f/kPMpgZoSImCyDNJAoWCzT1ZTaYCsPkeFvCUN7UtDTvzGE1oWolzWdf+3Qeeo0emB1+C5AVkrsgYCneBvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-19T22:24:56.308848Z"},"content_sha256":"45908e28ead3f965e5a7b2f1067ee9b4b80abe6de3ce13adb0602a8641dd4799","schema_version":"1.0","event_id":"sha256:45908e28ead3f965e5a7b2f1067ee9b4b80abe6de3ce13adb0602a8641dd4799"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFP73PSD56YU5KXOSQDFK5YAPB/bundle.json","state_url":"https://pith.science/pith/ZFP73PSD56YU5KXOSQDFK5YAPB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFP73PSD56YU5KXOSQDFK5YAPB/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":"2026-06-19T22:24:56Z","links":{"resolver":"https://pith.science/pith/ZFP73PSD56YU5KXOSQDFK5YAPB","bundle":"https://pith.science/pith/ZFP73PSD56YU5KXOSQDFK5YAPB/bundle.json","state":"https://pith.science/pith/ZFP73PSD56YU5KXOSQDFK5YAPB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFP73PSD56YU5KXOSQDFK5YAPB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZFP73PSD56YU5KXOSQDFK5YAPB","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":"874bcca6390e81444f706df3cfaa15a41eef5a03f31c80d5371abb59ae536198","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-14T15:18:09Z","title_canon_sha256":"6439866a8d1b9b6bc68cd1c7ce55233c046d37200f630df937585da848d3056a"},"schema_version":"1.0","source":{"id":"1307.3747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3747","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3747v1","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3747","created_at":"2026-05-18T03:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"ZFP73PSD56YU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZFP73PSD56YU5KXO","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZFP73PSD","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:45908e28ead3f965e5a7b2f1067ee9b4b80abe6de3ce13adb0602a8641dd4799","target":"graph","created_at":"2026-05-18T03:18:27Z","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 prove that in the backward orbit of a non-preperiodic point under the action of a Drinfeld module of generic characteristic there exist at most finitely many points S-integral with respect to another nonpreperiodic point. This provides the answer (in positive characteristic) to a question raised by Sookdeo. We also prove that for each nontorsion point z, there exist at most finitely many torsion points which are S-integral with respect to z. This proves a question raised by Tucker and the author, and it gives the analogue of Ih's conjecture for Drinfeld modules.","authors_text":"Dragos Ghioca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-14T15:18:09Z","title":"Integral points for Drinfeld modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3747","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":"sha256:8043a9d0f9d4f9a15b1bcbf5721269fc485ac8e54785c0ab66824fc61cf0c219","target":"record","created_at":"2026-05-18T03:18:27Z","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":"874bcca6390e81444f706df3cfaa15a41eef5a03f31c80d5371abb59ae536198","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-14T15:18:09Z","title_canon_sha256":"6439866a8d1b9b6bc68cd1c7ce55233c046d37200f630df937585da848d3056a"},"schema_version":"1.0","source":{"id":"1307.3747","kind":"arxiv","version":1}},"canonical_sha256":"c95ffdbe43efb14eaaee9406557700785d0eb14c683234949bfee0c4b14329cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c95ffdbe43efb14eaaee9406557700785d0eb14c683234949bfee0c4b14329cd","first_computed_at":"2026-05-18T03:18:27.992254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:27.992254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L9pxLIqyOR8nF6wlcqjL3YvM/143JXp3ViYW3yfJdpMiYcLWoxBso7dA2WLH3mfjMilq4uAq7Ip5aijuEah+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:27.992789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8043a9d0f9d4f9a15b1bcbf5721269fc485ac8e54785c0ab66824fc61cf0c219","sha256:45908e28ead3f965e5a7b2f1067ee9b4b80abe6de3ce13adb0602a8641dd4799"],"state_sha256":"8c552fcbae4801bb9a2edde63ac019d0d0d6eda58b0ca56422ca5c8c0ec71771"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lkLPvAyv+bDwBIuvPA6MqfgFIZJIFuM/CeyogN9BMDN+jrsu5R+yjVbpykf6wb9Fhf2pVuUDMyWB1YRCUzNjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-19T22:24:56.310991Z","bundle_sha256":"8423abbbf909fa79958228e848c279f50b72e5557462143529ff1ed9efd89677"}}