{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:IZM4QJO43FMVWDPYAWZCGRVPHS","short_pith_number":"pith:IZM4QJO4","canonical_record":{"source":{"id":"2402.02305","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2024-02-04T00:14:59Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f2a7f7dd333a42efeb9efb0e2420aa39b0bf0657b643890caaa409e319b753e7","abstract_canon_sha256":"00e87154923fb3349fb8f2a2c3a198346a67b70962424b364f413020c8718740"},"schema_version":"1.0"},"canonical_sha256":"4659c825dcd9595b0df805b22346af3c95035e6aa41fa83afe36be299b6b529a","source":{"kind":"arxiv","id":"2402.02305","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.02305","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"arxiv_version","alias_value":"2402.02305v2","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.02305","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"pith_short_12","alias_value":"IZM4QJO43FMV","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"pith_short_16","alias_value":"IZM4QJO43FMVWDPY","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"pith_short_8","alias_value":"IZM4QJO4","created_at":"2026-06-23T01:11:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:IZM4QJO43FMVWDPYAWZCGRVPHS","target":"record","payload":{"canonical_record":{"source":{"id":"2402.02305","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2024-02-04T00:14:59Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f2a7f7dd333a42efeb9efb0e2420aa39b0bf0657b643890caaa409e319b753e7","abstract_canon_sha256":"00e87154923fb3349fb8f2a2c3a198346a67b70962424b364f413020c8718740"},"schema_version":"1.0"},"canonical_sha256":"4659c825dcd9595b0df805b22346af3c95035e6aa41fa83afe36be299b6b529a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:11:52.163292Z","signature_b64":"VK/uJppYiGrBYzroufb2Zip/kC40l2Qu53HSddzcmcL2KSsIzwVOK6aFJA+DHZf4bSgZrt4Gd+PN6/SuEdziBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4659c825dcd9595b0df805b22346af3c95035e6aa41fa83afe36be299b6b529a","last_reissued_at":"2026-06-23T01:11:52.162791Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:11:52.162791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.02305","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":"2026-06-23T01:11:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e/9wtVahR43+9Sfh09R04CBFB+SBoENjifJ1XZTdiYjvV5ZjdBMfG4J87Rsu0LS9f8IBI5F9GFUwiJ7drsKqBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:31:54.102186Z"},"content_sha256":"18aa60c0958ee1014ee9a74c063d81358af3fa35d542ba3c2c28619d77bfc0d9","schema_version":"1.0","event_id":"sha256:18aa60c0958ee1014ee9a74c063d81358af3fa35d542ba3c2c28619d77bfc0d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:IZM4QJO43FMVWDPYAWZCGRVPHS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Castelnuovo-Mumford regularity of subspace arrangements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Aldo Conca, Manolis C. Tsakiris","submitted_at":"2024-02-04T00:14:59Z","abstract_excerpt":"Let $X$ be the union of $n$ generic linear subspaces of codimension $>1$ in $\\mathbb{P}^d$. Improving an earlier bound due to Derksen and Sidman, we prove that the Castelnuovo-Mumford regularity of $X$ satisfies $ \\operatorname{reg}(X) \\le n - [n / (2d-1)]$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.02305","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.02305/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-23T01:11:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KHVykFsD05ZTkE5STYXgEsgeAAAODDmeOfw//YdpjF4r3GFeFGeMv3bZNjRDhGjQlhYFKEGkhLGVvioKGEj7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:31:54.102572Z"},"content_sha256":"3adce6b8ff9e70469423438ad3b84456f473714fb669764edb3ad78e5b345ae9","schema_version":"1.0","event_id":"sha256:3adce6b8ff9e70469423438ad3b84456f473714fb669764edb3ad78e5b345ae9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZM4QJO43FMVWDPYAWZCGRVPHS/bundle.json","state_url":"https://pith.science/pith/IZM4QJO43FMVWDPYAWZCGRVPHS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZM4QJO43FMVWDPYAWZCGRVPHS/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":"2026-06-23T10:31:54Z","links":{"resolver":"https://pith.science/pith/IZM4QJO43FMVWDPYAWZCGRVPHS","bundle":"https://pith.science/pith/IZM4QJO43FMVWDPYAWZCGRVPHS/bundle.json","state":"https://pith.science/pith/IZM4QJO43FMVWDPYAWZCGRVPHS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZM4QJO43FMVWDPYAWZCGRVPHS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IZM4QJO43FMVWDPYAWZCGRVPHS","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":"00e87154923fb3349fb8f2a2c3a198346a67b70962424b364f413020c8718740","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2024-02-04T00:14:59Z","title_canon_sha256":"f2a7f7dd333a42efeb9efb0e2420aa39b0bf0657b643890caaa409e319b753e7"},"schema_version":"1.0","source":{"id":"2402.02305","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.02305","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"arxiv_version","alias_value":"2402.02305v2","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.02305","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"pith_short_12","alias_value":"IZM4QJO43FMV","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"pith_short_16","alias_value":"IZM4QJO43FMVWDPY","created_at":"2026-06-23T01:11:52Z"},{"alias_kind":"pith_short_8","alias_value":"IZM4QJO4","created_at":"2026-06-23T01:11:52Z"}],"graph_snapshots":[{"event_id":"sha256:3adce6b8ff9e70469423438ad3b84456f473714fb669764edb3ad78e5b345ae9","target":"graph","created_at":"2026-06-23T01:11:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2402.02305/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $X$ be the union of $n$ generic linear subspaces of codimension $>1$ in $\\mathbb{P}^d$. Improving an earlier bound due to Derksen and Sidman, we prove that the Castelnuovo-Mumford regularity of $X$ satisfies $ \\operatorname{reg}(X) \\le n - [n / (2d-1)]$.","authors_text":"Aldo Conca, Manolis C. Tsakiris","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2024-02-04T00:14:59Z","title":"On the Castelnuovo-Mumford regularity of subspace arrangements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.02305","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":"sha256:18aa60c0958ee1014ee9a74c063d81358af3fa35d542ba3c2c28619d77bfc0d9","target":"record","created_at":"2026-06-23T01:11:52Z","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":"00e87154923fb3349fb8f2a2c3a198346a67b70962424b364f413020c8718740","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2024-02-04T00:14:59Z","title_canon_sha256":"f2a7f7dd333a42efeb9efb0e2420aa39b0bf0657b643890caaa409e319b753e7"},"schema_version":"1.0","source":{"id":"2402.02305","kind":"arxiv","version":2}},"canonical_sha256":"4659c825dcd9595b0df805b22346af3c95035e6aa41fa83afe36be299b6b529a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4659c825dcd9595b0df805b22346af3c95035e6aa41fa83afe36be299b6b529a","first_computed_at":"2026-06-23T01:11:52.162791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:11:52.162791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VK/uJppYiGrBYzroufb2Zip/kC40l2Qu53HSddzcmcL2KSsIzwVOK6aFJA+DHZf4bSgZrt4Gd+PN6/SuEdziBQ==","signature_status":"signed_v1","signed_at":"2026-06-23T01:11:52.163292Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.02305","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18aa60c0958ee1014ee9a74c063d81358af3fa35d542ba3c2c28619d77bfc0d9","sha256:3adce6b8ff9e70469423438ad3b84456f473714fb669764edb3ad78e5b345ae9"],"state_sha256":"b00cb7e4e07fc9aeb6d395b36bbe8e76a1553c75aeda89ac033c0cf136984da8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f1byXX55aGcfA7tanxURDwHAAeRgp8Y7nhmnLusTQGCqmBkXSB/A+NFa+ucKSLXwEcsQG06+NhuUlv9z+A/cDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T10:31:54.104979Z","bundle_sha256":"e600904099cb16a3d904b379825c40a2e91940c5d46ec760f117ab0f05b42c64"}}