{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:M3TVO7PJABL5VHXJABM6FFTFJO","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":"a5f1ad5f232facc4005b991cf2018dda07bdb6c5fb5bc514bea3db456a2bfe3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-19T15:30:41Z","title_canon_sha256":"e88d295f00a397343ef63cd413aa03a01ce6dd773cd04af1e5efe58c769b668f"},"schema_version":"1.0","source":{"id":"1501.04523","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04523","created_at":"2026-05-18T01:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04523v3","created_at":"2026-05-18T01:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04523","created_at":"2026-05-18T01:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"M3TVO7PJABL5","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M3TVO7PJABL5VHXJ","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M3TVO7PJ","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:533d8252950f9b2ec94a6b16e815c8b0249a5f6bb6fc2139449e404aa4a53e6b","target":"graph","created_at":"2026-05-18T01:03:41Z","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":"To a natural number $n$, a finite partially ordered set $P$ and a poset ideal ${\\mathcal J}$ in the poset $Hom(P,[n])$ of isotonian maps from $P$ to the chain on $n$ elements, we associate two monomial ideals, the letterplace ideal $L(n,P;{\\mathcal J})$ and the co-letterplace ideal $L(P,n;{\\mathcal J})$. These ideals give a unified understanding of a number of ideals studied in monomial ideal theory in recent years. By cutting down these ideals by regular sequences of variable differences we obtain: multichain ideals and generalized Hibi type ideals, initial ideals of determinantal ideals, str","authors_text":"Bj{\\o}rn M{\\o}ller Greve, Gunnar Fl{\\o}ystad, J\\\"urgen Herzog","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-19T15:30:41Z","title":"Letterplace and co-letterplace ideals of posets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04523","kind":"arxiv","version":3},"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":"sha256:0abc1829b12c3b0a8e24b8549f7d1e293fab05ce9d9b1151c6eb899757fb9b22","target":"record","created_at":"2026-05-18T01:03:41Z","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":"a5f1ad5f232facc4005b991cf2018dda07bdb6c5fb5bc514bea3db456a2bfe3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-19T15:30:41Z","title_canon_sha256":"e88d295f00a397343ef63cd413aa03a01ce6dd773cd04af1e5efe58c769b668f"},"schema_version":"1.0","source":{"id":"1501.04523","kind":"arxiv","version":3}},"canonical_sha256":"66e7577de90057da9ee90059e296654bb4be8b3f55f34a49cc16becaeef35129","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e7577de90057da9ee90059e296654bb4be8b3f55f34a49cc16becaeef35129","first_computed_at":"2026-05-18T01:03:41.069967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:41.069967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1F1EYuvHbx2rbsy3DQGGWRyVfYRnvdkoa/EIcqHOG6oQDchuN70FsiNYf1zjElPqe9/S67A3HPBBlgN4cqhMDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:41.070490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04523","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0abc1829b12c3b0a8e24b8549f7d1e293fab05ce9d9b1151c6eb899757fb9b22","sha256:533d8252950f9b2ec94a6b16e815c8b0249a5f6bb6fc2139449e404aa4a53e6b"],"state_sha256":"1adf0bae016ca10b2512db6c066bd37eaebde1db7fe55a4975060dadff78fce6"}