{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GRM4PVNUCWHH72Q3XSVJHVZ2WW","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":"c45d7918f7853f9b3493146139d8469dd75f168b4a272cdb5fd3892e03d7bed3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-10-30T15:43:04Z","title_canon_sha256":"3b798c0c8065dfd2d9b5b18c8e757a6a3efb0311f1a58bb1c58fa4545b03140f"},"schema_version":"1.0","source":{"id":"2510.26617","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.26617","created_at":"2026-06-19T16:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"2510.26617v1","created_at":"2026-06-19T16:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.26617","created_at":"2026-06-19T16:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"GRM4PVNUCWHH","created_at":"2026-06-19T16:12:48Z"},{"alias_kind":"pith_short_16","alias_value":"GRM4PVNUCWHH72Q3","created_at":"2026-06-19T16:12:48Z"},{"alias_kind":"pith_short_8","alias_value":"GRM4PVNU","created_at":"2026-06-19T16:12:48Z"}],"graph_snapshots":[{"event_id":"sha256:c05d18e146d928cd3eff62fce026f61f52b34bb57e15c0e7b80354901504d892","target":"graph","created_at":"2026-06-19T16:12:48Z","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/2510.26617/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A general construction yielding infinitely many families of $D(m^2)$-triples of triangular numbers is presented. Moreover, each triple obtained from this construction contains the same triangular number $T_n$.","authors_text":"Marija Bliznac Trebje\\v{s}anin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-10-30T15:43:04Z","title":"On Diophantine triples containing a triangular number"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.26617","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:ad7ea0615ea0f623fc6f2f2f8c277b90f7f9745a3dd677f666582519ee66c2d6","target":"record","created_at":"2026-06-19T16:12:48Z","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":"c45d7918f7853f9b3493146139d8469dd75f168b4a272cdb5fd3892e03d7bed3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-10-30T15:43:04Z","title_canon_sha256":"3b798c0c8065dfd2d9b5b18c8e757a6a3efb0311f1a58bb1c58fa4545b03140f"},"schema_version":"1.0","source":{"id":"2510.26617","kind":"arxiv","version":1}},"canonical_sha256":"3459c7d5b4158e7fea1bbcaa93d73ab5aa491f127b3fe330fab77aa511c82e66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3459c7d5b4158e7fea1bbcaa93d73ab5aa491f127b3fe330fab77aa511c82e66","first_computed_at":"2026-06-19T16:12:48.907392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:48.907392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b5+sBHjUCb4hr3W6sRHPsoQqs2rtay0sp4qDjEdUPw66Y8jIAaFf4nVwknK6L1Kvgbl4uYj/hZP+NUDgfr5RBw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:48.907815Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.26617","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad7ea0615ea0f623fc6f2f2f8c277b90f7f9745a3dd677f666582519ee66c2d6","sha256:c05d18e146d928cd3eff62fce026f61f52b34bb57e15c0e7b80354901504d892"],"state_sha256":"4175e1065936a8f8e153e2971a12795951499caf806f9f6f8ddeb33b5c29bfec"}