{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GQYUCH5BAZ4ZYFCHPEKZL7LDV5","short_pith_number":"pith:GQYUCH5B","canonical_record":{"source":{"id":"1109.2463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-12T13:32:55Z","cross_cats_sorted":[],"title_canon_sha256":"a070b65ab45042c08bee2ab660da1ebd9dc4529771884a5c50f92fa4bc440549","abstract_canon_sha256":"ab3ac69363d93cf4bba28a70237c49051638f7f65ae56653c84ac36b09f375db"},"schema_version":"1.0"},"canonical_sha256":"3431411fa106799c1447791595fd63af54b4c9f78a0654a434a3a6d7d8489ab2","source":{"kind":"arxiv","id":"1109.2463","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2463","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2463v1","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2463","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"GQYUCH5BAZ4Z","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GQYUCH5BAZ4ZYFCH","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GQYUCH5B","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GQYUCH5BAZ4ZYFCHPEKZL7LDV5","target":"record","payload":{"canonical_record":{"source":{"id":"1109.2463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-12T13:32:55Z","cross_cats_sorted":[],"title_canon_sha256":"a070b65ab45042c08bee2ab660da1ebd9dc4529771884a5c50f92fa4bc440549","abstract_canon_sha256":"ab3ac69363d93cf4bba28a70237c49051638f7f65ae56653c84ac36b09f375db"},"schema_version":"1.0"},"canonical_sha256":"3431411fa106799c1447791595fd63af54b4c9f78a0654a434a3a6d7d8489ab2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:37.629833Z","signature_b64":"YTdSRaZeOg++sfjgHMppjSITqwDlFF0ZKyehSvKorqU1c+cwNYTMy2lBo3rnHdAgREPIPdCfZw6W2wq/Phj1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3431411fa106799c1447791595fd63af54b4c9f78a0654a434a3a6d7d8489ab2","last_reissued_at":"2026-05-18T04:13:37.629142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:37.629142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.2463","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HQiwgm1YJT48Ho+8kztTGjby4/NWFIzXSeCM5WOq7ikrRurdGDetXFvX0xoq32AGiar9G+WRWpPpM898YWoPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:01:16.831638Z"},"content_sha256":"f7b722ea52bf53ad2550f999f6452b890996a73006740e07f5f7069a78195e1a","schema_version":"1.0","event_id":"sha256:f7b722ea52bf53ad2550f999f6452b890996a73006740e07f5f7069a78195e1a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GQYUCH5BAZ4ZYFCHPEKZL7LDV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariants of some classes of monomial ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Oana Olteanu","submitted_at":"2011-09-12T13:32:55Z","abstract_excerpt":"In this thesis we are interested in describing some homological invariants of certain classes of monomial ideals. We will pay attention to the squarefree and non-squarefree lexsegment ideals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2463","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RsVfVNMEtVWE64bH8m8C/4kMgHucxc8Q77eMsxZMnnjwNpaqb4RKQY6KnZxGwqpmN432HpkRdIzBlnlvQZsZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:01:16.831991Z"},"content_sha256":"a224bbce06d1efb5d0da79f667646303a0ac5ef7652a48d9fcf451d309080a3d","schema_version":"1.0","event_id":"sha256:a224bbce06d1efb5d0da79f667646303a0ac5ef7652a48d9fcf451d309080a3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQYUCH5BAZ4ZYFCHPEKZL7LDV5/bundle.json","state_url":"https://pith.science/pith/GQYUCH5BAZ4ZYFCHPEKZL7LDV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQYUCH5BAZ4ZYFCHPEKZL7LDV5/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":"2026-06-02T07:01:16Z","links":{"resolver":"https://pith.science/pith/GQYUCH5BAZ4ZYFCHPEKZL7LDV5","bundle":"https://pith.science/pith/GQYUCH5BAZ4ZYFCHPEKZL7LDV5/bundle.json","state":"https://pith.science/pith/GQYUCH5BAZ4ZYFCHPEKZL7LDV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQYUCH5BAZ4ZYFCHPEKZL7LDV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GQYUCH5BAZ4ZYFCHPEKZL7LDV5","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":"ab3ac69363d93cf4bba28a70237c49051638f7f65ae56653c84ac36b09f375db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-12T13:32:55Z","title_canon_sha256":"a070b65ab45042c08bee2ab660da1ebd9dc4529771884a5c50f92fa4bc440549"},"schema_version":"1.0","source":{"id":"1109.2463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2463","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2463v1","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2463","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"GQYUCH5BAZ4Z","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GQYUCH5BAZ4ZYFCH","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GQYUCH5B","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:a224bbce06d1efb5d0da79f667646303a0ac5ef7652a48d9fcf451d309080a3d","target":"graph","created_at":"2026-05-18T04:13:37Z","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":"In this thesis we are interested in describing some homological invariants of certain classes of monomial ideals. We will pay attention to the squarefree and non-squarefree lexsegment ideals.","authors_text":"Oana Olteanu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-12T13:32:55Z","title":"Invariants of some classes of monomial ideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2463","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:f7b722ea52bf53ad2550f999f6452b890996a73006740e07f5f7069a78195e1a","target":"record","created_at":"2026-05-18T04:13:37Z","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":"ab3ac69363d93cf4bba28a70237c49051638f7f65ae56653c84ac36b09f375db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-12T13:32:55Z","title_canon_sha256":"a070b65ab45042c08bee2ab660da1ebd9dc4529771884a5c50f92fa4bc440549"},"schema_version":"1.0","source":{"id":"1109.2463","kind":"arxiv","version":1}},"canonical_sha256":"3431411fa106799c1447791595fd63af54b4c9f78a0654a434a3a6d7d8489ab2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3431411fa106799c1447791595fd63af54b4c9f78a0654a434a3a6d7d8489ab2","first_computed_at":"2026-05-18T04:13:37.629142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:37.629142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YTdSRaZeOg++sfjgHMppjSITqwDlFF0ZKyehSvKorqU1c+cwNYTMy2lBo3rnHdAgREPIPdCfZw6W2wq/Phj1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:37.629833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7b722ea52bf53ad2550f999f6452b890996a73006740e07f5f7069a78195e1a","sha256:a224bbce06d1efb5d0da79f667646303a0ac5ef7652a48d9fcf451d309080a3d"],"state_sha256":"f576547b25554b42cb7dc9e80ac6f3acb559c529b559808d028d8ae0cf5df76b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hVYexL7w3dIw8aQE8r6cZ8pHWEIPx7d9KmpVo18HLJ0jmZZhkD/8dvAtr5D0jHqzESpL9jWs9lnqUkyHxLFbCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T07:01:16.834002Z","bundle_sha256":"be5d7b18960971ba3cb5d6358f4bc854f61ed089dfc37bebc362d3d382ec60c1"}}