{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:73YSQQAPD25DPLDI5QCV4K5GUI","short_pith_number":"pith:73YSQQAP","canonical_record":{"source":{"id":"1808.04954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-15T03:13:17Z","cross_cats_sorted":[],"title_canon_sha256":"42f04966f6d3541acca7e66e1209e0745b8cb42e27d034490aa38acc031170bf","abstract_canon_sha256":"14aa62697498bb61dfaad940f657b2677780b224d8b5f89a52762c76d813548f"},"schema_version":"1.0"},"canonical_sha256":"fef128400f1eba37ac68ec055e2ba6a219f4dc1b94c50340dc45d5ad1cd0ab7a","source":{"kind":"arxiv","id":"1808.04954","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.04954","created_at":"2026-05-18T00:08:02Z"},{"alias_kind":"arxiv_version","alias_value":"1808.04954v1","created_at":"2026-05-18T00:08:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.04954","created_at":"2026-05-18T00:08:02Z"},{"alias_kind":"pith_short_12","alias_value":"73YSQQAPD25D","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"73YSQQAPD25DPLDI","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"73YSQQAP","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:73YSQQAPD25DPLDI5QCV4K5GUI","target":"record","payload":{"canonical_record":{"source":{"id":"1808.04954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-15T03:13:17Z","cross_cats_sorted":[],"title_canon_sha256":"42f04966f6d3541acca7e66e1209e0745b8cb42e27d034490aa38acc031170bf","abstract_canon_sha256":"14aa62697498bb61dfaad940f657b2677780b224d8b5f89a52762c76d813548f"},"schema_version":"1.0"},"canonical_sha256":"fef128400f1eba37ac68ec055e2ba6a219f4dc1b94c50340dc45d5ad1cd0ab7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:02.064857Z","signature_b64":"NUbhbB24MiBStObvAJt/iOGtQvLiSwLisre7cQoO7Jgkiz0TQZ4vuClU0J+gJw9+fwrBDgLIW9u8xSP/AGweDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fef128400f1eba37ac68ec055e2ba6a219f4dc1b94c50340dc45d5ad1cd0ab7a","last_reissued_at":"2026-05-18T00:08:02.064225Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:02.064225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.04954","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":"2026-05-18T00:08:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6f/qTPj+n3/OHDN8P2QhDJXsYwsr92/Vb25z7/4IDtMnoNgnofB7Kd6/ZoJbpmsIvhx6SZD7PY4GuM7faA4lDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:25:12.136692Z"},"content_sha256":"b5affd5b5f9b0e65eba22a04f27dd255e84b1ada24f79f06f358b3558466560a","schema_version":"1.0","event_id":"sha256:b5affd5b5f9b0e65eba22a04f27dd255e84b1ada24f79f06f358b3558466560a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:73YSQQAPD25DPLDI5QCV4K5GUI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rainbow matchings in properly-colored hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Guanghui Wang, Hao Huang, Tong Li","submitted_at":"2018-08-15T03:13:17Z","abstract_excerpt":"A hypergraph $H$ is properly colored if for every vertex $v\\in V(H)$, all the edges incident to $v$ have distinct colors. In this paper, we show that if $H_{1}$, \\cdots, $H_{s}$ are properly-colored $k$-uniform hypergraphs on $n$ vertices, where $n\\geq3k^{2}s$, and $e(H_{i})>{{n}\\choose {k}}-{{n-s+1}\\choose {k}}$, then there exists a rainbow matching of size $s$, containing one edge from each $H_i$. This generalizes some previous results on the Erd\\H{o}s Matching Conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04954","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":"2026-05-18T00:08:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7VlFCkW+Al0rJJzFDd0wIreZEOW6hlsKM7FgL49AdGoDK/B8XojIPFA1Q7QEvfdRnU3c/Eh6ESx2YkUYCKWnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:25:12.137039Z"},"content_sha256":"2d8e5fddaa470cc5293fe315f79c6c2cc287af54d8e2037ef595b4f09b9ae614","schema_version":"1.0","event_id":"sha256:2d8e5fddaa470cc5293fe315f79c6c2cc287af54d8e2037ef595b4f09b9ae614"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73YSQQAPD25DPLDI5QCV4K5GUI/bundle.json","state_url":"https://pith.science/pith/73YSQQAPD25DPLDI5QCV4K5GUI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73YSQQAPD25DPLDI5QCV4K5GUI/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":"2026-06-02T08:25:12Z","links":{"resolver":"https://pith.science/pith/73YSQQAPD25DPLDI5QCV4K5GUI","bundle":"https://pith.science/pith/73YSQQAPD25DPLDI5QCV4K5GUI/bundle.json","state":"https://pith.science/pith/73YSQQAPD25DPLDI5QCV4K5GUI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73YSQQAPD25DPLDI5QCV4K5GUI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:73YSQQAPD25DPLDI5QCV4K5GUI","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":"14aa62697498bb61dfaad940f657b2677780b224d8b5f89a52762c76d813548f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-15T03:13:17Z","title_canon_sha256":"42f04966f6d3541acca7e66e1209e0745b8cb42e27d034490aa38acc031170bf"},"schema_version":"1.0","source":{"id":"1808.04954","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.04954","created_at":"2026-05-18T00:08:02Z"},{"alias_kind":"arxiv_version","alias_value":"1808.04954v1","created_at":"2026-05-18T00:08:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.04954","created_at":"2026-05-18T00:08:02Z"},{"alias_kind":"pith_short_12","alias_value":"73YSQQAPD25D","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"73YSQQAPD25DPLDI","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"73YSQQAP","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:2d8e5fddaa470cc5293fe315f79c6c2cc287af54d8e2037ef595b4f09b9ae614","target":"graph","created_at":"2026-05-18T00:08:02Z","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":"A hypergraph $H$ is properly colored if for every vertex $v\\in V(H)$, all the edges incident to $v$ have distinct colors. In this paper, we show that if $H_{1}$, \\cdots, $H_{s}$ are properly-colored $k$-uniform hypergraphs on $n$ vertices, where $n\\geq3k^{2}s$, and $e(H_{i})>{{n}\\choose {k}}-{{n-s+1}\\choose {k}}$, then there exists a rainbow matching of size $s$, containing one edge from each $H_i$. This generalizes some previous results on the Erd\\H{o}s Matching Conjecture.","authors_text":"Guanghui Wang, Hao Huang, Tong Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-15T03:13:17Z","title":"Rainbow matchings in properly-colored hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04954","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:b5affd5b5f9b0e65eba22a04f27dd255e84b1ada24f79f06f358b3558466560a","target":"record","created_at":"2026-05-18T00:08:02Z","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":"14aa62697498bb61dfaad940f657b2677780b224d8b5f89a52762c76d813548f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-15T03:13:17Z","title_canon_sha256":"42f04966f6d3541acca7e66e1209e0745b8cb42e27d034490aa38acc031170bf"},"schema_version":"1.0","source":{"id":"1808.04954","kind":"arxiv","version":1}},"canonical_sha256":"fef128400f1eba37ac68ec055e2ba6a219f4dc1b94c50340dc45d5ad1cd0ab7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fef128400f1eba37ac68ec055e2ba6a219f4dc1b94c50340dc45d5ad1cd0ab7a","first_computed_at":"2026-05-18T00:08:02.064225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:02.064225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NUbhbB24MiBStObvAJt/iOGtQvLiSwLisre7cQoO7Jgkiz0TQZ4vuClU0J+gJw9+fwrBDgLIW9u8xSP/AGweDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:02.064857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.04954","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5affd5b5f9b0e65eba22a04f27dd255e84b1ada24f79f06f358b3558466560a","sha256:2d8e5fddaa470cc5293fe315f79c6c2cc287af54d8e2037ef595b4f09b9ae614"],"state_sha256":"dc35b600d7ffcc5f85c6570754ee1a12e9243932d89922a11815c02c8878b967"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l4aiQbC8FamvyHFEZbEEE4/xCHLhMgOuatf5yqTBnC/jiKgMgRjdm9ojVXZTsVuYu25jRr/sySmJRKdD+QbnCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:25:12.139256Z","bundle_sha256":"dca40bdaeea381c3b87c25f39666c251843869a6ba77a1c7b80e5586f93800e9"}}