{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:I3PLFYCNZQTKOGI656K74EUZ6S","short_pith_number":"pith:I3PLFYCN","schema_version":"1.0","canonical_sha256":"46deb2e04dcc26a7191eef95fe1299f4960a15f78d23865e8ef6592b303337c0","source":{"kind":"arxiv","id":"math/0608641","version":1},"attestation_state":"computed","paper":{"title":"Parametrized $\\diamondsuit$ principles","license":"","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Justin Tatch Moore, Michael Hru\\v{s}\\'ak, Mirna D\\v{z}amonja","submitted_at":"2006-08-25T16:39:05Z","abstract_excerpt":"We will present a collection of guessing principles which have a similar relationship to $\\diamond$ as cardinal invariants of the continuum have to $\\CH$. The purpose is to provide a means for systematically analyzing $\\diamond$ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of $\\CH$ and $\\diamond$ in models such as those of Laver, Miller, and Sacks."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0608641","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.LO","submitted_at":"2006-08-25T16:39:05Z","cross_cats_sorted":[],"title_canon_sha256":"6e5bfef0f41f785c32f3acf08d819297401d413459b3ecb910c6a99231d5f610","abstract_canon_sha256":"709ef7c1c860a0120174d29b787130c977b8b7c2684d981fabd32be0bf538560"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:49.797267Z","signature_b64":"v9TnJS0aZDwB8eoAgafB68PRdo8hFgDfEkfJecu9DfFUgZE0rSx1Q6/rPQqIcjOFhgt8f24VkVv+IAdGISUlAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46deb2e04dcc26a7191eef95fe1299f4960a15f78d23865e8ef6592b303337c0","last_reissued_at":"2026-05-18T01:08:49.796625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:49.796625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parametrized $\\diamondsuit$ principles","license":"","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Justin Tatch Moore, Michael Hru\\v{s}\\'ak, Mirna D\\v{z}amonja","submitted_at":"2006-08-25T16:39:05Z","abstract_excerpt":"We will present a collection of guessing principles which have a similar relationship to $\\diamond$ as cardinal invariants of the continuum have to $\\CH$. The purpose is to provide a means for systematically analyzing $\\diamond$ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of $\\CH$ and $\\diamond$ in models such as those of Laver, Miller, and Sacks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0608641","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0608641","created_at":"2026-05-18T01:08:49.796726+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0608641v1","created_at":"2026-05-18T01:08:49.796726+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0608641","created_at":"2026-05-18T01:08:49.796726+00:00"},{"alias_kind":"pith_short_12","alias_value":"I3PLFYCNZQTK","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"I3PLFYCNZQTKOGI6","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"I3PLFYCN","created_at":"2026-05-18T12:25:53.939244+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S","json":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S.json","graph_json":"https://pith.science/api/pith-number/I3PLFYCNZQTKOGI656K74EUZ6S/graph.json","events_json":"https://pith.science/api/pith-number/I3PLFYCNZQTKOGI656K74EUZ6S/events.json","paper":"https://pith.science/paper/I3PLFYCN"},"agent_actions":{"view_html":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S","download_json":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S.json","view_paper":"https://pith.science/paper/I3PLFYCN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0608641&json=true","fetch_graph":"https://pith.science/api/pith-number/I3PLFYCNZQTKOGI656K74EUZ6S/graph.json","fetch_events":"https://pith.science/api/pith-number/I3PLFYCNZQTKOGI656K74EUZ6S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S/action/storage_attestation","attest_author":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S/action/author_attestation","sign_citation":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S/action/citation_signature","submit_replication":"https://pith.science/pith/I3PLFYCNZQTKOGI656K74EUZ6S/action/replication_record"}},"created_at":"2026-05-18T01:08:49.796726+00:00","updated_at":"2026-05-18T01:08:49.796726+00:00"}