{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PV2XYWVTLDKRE4G6PYIVFDWIAM","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":"29c248771354051cb7d744973728590be6594e04ff7309de1f279c3ef782d400","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-06T09:34:46Z","title_canon_sha256":"c1310237077be3da4dd141d6ab6ca5cd7d0eccb12c98d6a2b011db1893ea5217"},"schema_version":"1.0","source":{"id":"1506.02131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02131","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02131v1","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02131","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"pith_short_12","alias_value":"PV2XYWVTLDKR","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PV2XYWVTLDKRE4G6","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PV2XYWVT","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:d59f7d9b63074036f768c441ef042f6eb0f8a23483f33c84fa4e47dbd6e11a2d","target":"graph","created_at":"2026-05-17T23:54:27Z","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":"The package numericalsgps performs computations with and for numerical semigroups. Recently also affine semigroups are admitted as objects for calculations. This manuscript is a survey of what the package does, and at the same time of the trending topics on numerical semigroups.","authors_text":"Manuel Delgado, Pedro A. Garc\\'ia S\\'anchez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-06T09:34:46Z","title":"numericalsgps, a GAP package for numerical semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02131","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:bcff35588d90d08438170053572074789078bd9a3c662788d85188d9ee9fa2d2","target":"record","created_at":"2026-05-17T23:54:27Z","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":"29c248771354051cb7d744973728590be6594e04ff7309de1f279c3ef782d400","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-06T09:34:46Z","title_canon_sha256":"c1310237077be3da4dd141d6ab6ca5cd7d0eccb12c98d6a2b011db1893ea5217"},"schema_version":"1.0","source":{"id":"1506.02131","kind":"arxiv","version":1}},"canonical_sha256":"7d757c5ab358d51270de7e11528ec803289f5df75e117019f1c0776aee9fe062","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d757c5ab358d51270de7e11528ec803289f5df75e117019f1c0776aee9fe062","first_computed_at":"2026-05-17T23:54:27.262250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:27.262250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ow5JYuWvV+QBddOkhiq54Uknq1iel5LCO90k0oTI1oBgtWN5OZdgI9y75CPDc5iqBb6frltRgkQHOfRpuSEGBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:27.262845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcff35588d90d08438170053572074789078bd9a3c662788d85188d9ee9fa2d2","sha256:d59f7d9b63074036f768c441ef042f6eb0f8a23483f33c84fa4e47dbd6e11a2d"],"state_sha256":"e5540e776e430545db38d645f9666aa7abf71141815e6e3d3493bc95ca2c1cde"}