{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6YYIKUYSVK7BJYWQOR2ULTMHLW","short_pith_number":"pith:6YYIKUYS","canonical_record":{"source":{"id":"1805.10903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-05-28T13:08:25Z","cross_cats_sorted":[],"title_canon_sha256":"a81bd9d1e127ef4ba56468a8240b2af53ab8bd50c6eeb6ba5690857b7d96296e","abstract_canon_sha256":"a4dda2da4df26f2bdddea6a01c67d6594b2ba26e7233208a0b9b869cceee5298"},"schema_version":"1.0"},"canonical_sha256":"f630855312aabe14e2d0747545cd875dbfbb4223680cadd8c6af00fe98de8dd6","source":{"kind":"arxiv","id":"1805.10903","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10903","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10903v2","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10903","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"pith_short_12","alias_value":"6YYIKUYSVK7B","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6YYIKUYSVK7BJYWQ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6YYIKUYS","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6YYIKUYSVK7BJYWQOR2ULTMHLW","target":"record","payload":{"canonical_record":{"source":{"id":"1805.10903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-05-28T13:08:25Z","cross_cats_sorted":[],"title_canon_sha256":"a81bd9d1e127ef4ba56468a8240b2af53ab8bd50c6eeb6ba5690857b7d96296e","abstract_canon_sha256":"a4dda2da4df26f2bdddea6a01c67d6594b2ba26e7233208a0b9b869cceee5298"},"schema_version":"1.0"},"canonical_sha256":"f630855312aabe14e2d0747545cd875dbfbb4223680cadd8c6af00fe98de8dd6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:33.611805Z","signature_b64":"vCt56jnS3HvuUkHYkXycpbu9eDXUYAOHxokuRBr3+GistOnLby31s5rP18EIBQLvf4Tp+sJoUsbE+8VBoUi0Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f630855312aabe14e2d0747545cd875dbfbb4223680cadd8c6af00fe98de8dd6","last_reissued_at":"2026-05-18T00:14:33.611029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:33.611029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.10903","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:14:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TjjXzS+fUKx5JItNjQ18c/e69513pr+vbDg2PX6mxBNmK1dwK6oO3Q1fyjMoY0zMUIGxQFmpwiOQz1gj4Iq9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T08:03:25.720214Z"},"content_sha256":"14df508cbd2618efc26047be338bdefd6d380e778cfec2076bed7a37c9d4f6a4","schema_version":"1.0","event_id":"sha256:14df508cbd2618efc26047be338bdefd6d380e778cfec2076bed7a37c9d4f6a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6YYIKUYSVK7BJYWQOR2ULTMHLW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Star operations on Kunz domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Dario Spirito","submitted_at":"2018-05-28T13:08:25Z","abstract_excerpt":"We study star operations on Kunz domains, a class of analytically irreducible, residually rational domains associated to pseudo-symmetric numerical semigroups, and we use them to refute a conjecture of Houston, Mimouni and Park. We also find an estimate for the number of star operations in a particular case, and a precise counting in a sub-case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10903","kind":"arxiv","version":2},"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":"2026-05-18T00:14:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Dg5FdjBSdJrb0KChq4dUF8t0UNU9NkTUUD5fF07mz3C77HF5YqwRGJ0RQ9ewyAcHwSULRN+y/Lp3OdsTspKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T08:03:25.720575Z"},"content_sha256":"c411e831256263ab025a3f1bb05ad3d197ab0d85d568355e45c87ac653d9bdd6","schema_version":"1.0","event_id":"sha256:c411e831256263ab025a3f1bb05ad3d197ab0d85d568355e45c87ac653d9bdd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6YYIKUYSVK7BJYWQOR2ULTMHLW/bundle.json","state_url":"https://pith.science/pith/6YYIKUYSVK7BJYWQOR2ULTMHLW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6YYIKUYSVK7BJYWQOR2ULTMHLW/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":"2026-07-03T08:03:25Z","links":{"resolver":"https://pith.science/pith/6YYIKUYSVK7BJYWQOR2ULTMHLW","bundle":"https://pith.science/pith/6YYIKUYSVK7BJYWQOR2ULTMHLW/bundle.json","state":"https://pith.science/pith/6YYIKUYSVK7BJYWQOR2ULTMHLW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6YYIKUYSVK7BJYWQOR2ULTMHLW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6YYIKUYSVK7BJYWQOR2ULTMHLW","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":"a4dda2da4df26f2bdddea6a01c67d6594b2ba26e7233208a0b9b869cceee5298","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-05-28T13:08:25Z","title_canon_sha256":"a81bd9d1e127ef4ba56468a8240b2af53ab8bd50c6eeb6ba5690857b7d96296e"},"schema_version":"1.0","source":{"id":"1805.10903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10903","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10903v2","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10903","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"pith_short_12","alias_value":"6YYIKUYSVK7B","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6YYIKUYSVK7BJYWQ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6YYIKUYS","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:c411e831256263ab025a3f1bb05ad3d197ab0d85d568355e45c87ac653d9bdd6","target":"graph","created_at":"2026-05-18T00:14:33Z","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 study star operations on Kunz domains, a class of analytically irreducible, residually rational domains associated to pseudo-symmetric numerical semigroups, and we use them to refute a conjecture of Houston, Mimouni and Park. We also find an estimate for the number of star operations in a particular case, and a precise counting in a sub-case.","authors_text":"Dario Spirito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-05-28T13:08:25Z","title":"Star operations on Kunz domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10903","kind":"arxiv","version":2},"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":"sha256:14df508cbd2618efc26047be338bdefd6d380e778cfec2076bed7a37c9d4f6a4","target":"record","created_at":"2026-05-18T00:14:33Z","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":"a4dda2da4df26f2bdddea6a01c67d6594b2ba26e7233208a0b9b869cceee5298","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-05-28T13:08:25Z","title_canon_sha256":"a81bd9d1e127ef4ba56468a8240b2af53ab8bd50c6eeb6ba5690857b7d96296e"},"schema_version":"1.0","source":{"id":"1805.10903","kind":"arxiv","version":2}},"canonical_sha256":"f630855312aabe14e2d0747545cd875dbfbb4223680cadd8c6af00fe98de8dd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f630855312aabe14e2d0747545cd875dbfbb4223680cadd8c6af00fe98de8dd6","first_computed_at":"2026-05-18T00:14:33.611029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:33.611029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vCt56jnS3HvuUkHYkXycpbu9eDXUYAOHxokuRBr3+GistOnLby31s5rP18EIBQLvf4Tp+sJoUsbE+8VBoUi0Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:33.611805Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14df508cbd2618efc26047be338bdefd6d380e778cfec2076bed7a37c9d4f6a4","sha256:c411e831256263ab025a3f1bb05ad3d197ab0d85d568355e45c87ac653d9bdd6"],"state_sha256":"840f1bbe0adf13340c62df2dbd0086a719ee6bf3e0356a1aaa99fdbf06bb2c11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9KKbISQ6o6DHzllf1gzko5uGM7j0Im5pM8F+K9bYPvg3Pl5Bsw56ufT5LrlcVbCsi8ygTQqr3+VjpGu3DT5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T08:03:25.722510Z","bundle_sha256":"13b95836f5418e0e722c6f80a0ffa26e0556f69b32003d45c131ccc5bf1c8488"}}