{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L36ILVGRHRX3MRD4JNHOT2V6EX","short_pith_number":"pith:L36ILVGR","canonical_record":{"source":{"id":"1710.04107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-11T15:18:24Z","cross_cats_sorted":[],"title_canon_sha256":"a0aef311542acd3d6add5487778573c7e9e69863e239c0c7f6186588cb0456bd","abstract_canon_sha256":"8044f2a063d409eeeda4591530418e392c5493b104072e829674a2387574d619"},"schema_version":"1.0"},"canonical_sha256":"5efc85d4d13c6fb6447c4b4ee9eabe25c1d90a97e5fc9c57f3559e0bb57cacc6","source":{"kind":"arxiv","id":"1710.04107","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04107","created_at":"2026-05-18T00:33:04Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04107v1","created_at":"2026-05-18T00:33:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04107","created_at":"2026-05-18T00:33:04Z"},{"alias_kind":"pith_short_12","alias_value":"L36ILVGRHRX3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L36ILVGRHRX3MRD4","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L36ILVGR","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L36ILVGRHRX3MRD4JNHOT2V6EX","target":"record","payload":{"canonical_record":{"source":{"id":"1710.04107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-11T15:18:24Z","cross_cats_sorted":[],"title_canon_sha256":"a0aef311542acd3d6add5487778573c7e9e69863e239c0c7f6186588cb0456bd","abstract_canon_sha256":"8044f2a063d409eeeda4591530418e392c5493b104072e829674a2387574d619"},"schema_version":"1.0"},"canonical_sha256":"5efc85d4d13c6fb6447c4b4ee9eabe25c1d90a97e5fc9c57f3559e0bb57cacc6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:04.976301Z","signature_b64":"e8wtMqlFYj1R/5wlsX0mfdbW71Uibz7+CsLKEB/iIpb5+NRqdxqhwi9peAxmkG8hmtsBpQNVGAQPUA7gZgWlDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5efc85d4d13c6fb6447c4b4ee9eabe25c1d90a97e5fc9c57f3559e0bb57cacc6","last_reissued_at":"2026-05-18T00:33:04.975553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:04.975553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.04107","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":"2026-05-18T00:33:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L4uI2R2GIxMk5MCS7h9MBEr1sPY5J2ffNmAaNBa0Jc2h/PLNyfp5dI/cCVrkCT48k2/5Um4XXHt08fdyV1i6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T23:11:13.591472Z"},"content_sha256":"b1bce3f76d6bfd8b4214d5d12a0d36357d3d5c96fd08c6a7cfb027ff9aad3b63","schema_version":"1.0","event_id":"sha256:b1bce3f76d6bfd8b4214d5d12a0d36357d3d5c96fd08c6a7cfb027ff9aad3b63"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L36ILVGRHRX3MRD4JNHOT2V6EX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wilf-collapse in permutation classes having two basis elements of size three","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jinge Li, Michael Albert","submitted_at":"2017-10-11T15:18:24Z","abstract_excerpt":"We consider permutation classes having two basis elements of size three and one further basis element. We completely classify the possible enumeration sequences of such classes and demonstrate that there are far fewer of them than might be expected in principle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04107","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":"2026-05-18T00:33:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a3JK0kp2sHbwFMKJ8kB5JnMDhQK6mkYFC2s3R3l3RxTiS8oJqpKOc2AZPNpPeFXWWWBXTWj1ZMpN7Sn6KfqoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T23:11:13.592195Z"},"content_sha256":"ff0a1f499276f8d98509e09336e20eacaf4a7045893b15e91797143efd9b06eb","schema_version":"1.0","event_id":"sha256:ff0a1f499276f8d98509e09336e20eacaf4a7045893b15e91797143efd9b06eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L36ILVGRHRX3MRD4JNHOT2V6EX/bundle.json","state_url":"https://pith.science/pith/L36ILVGRHRX3MRD4JNHOT2V6EX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L36ILVGRHRX3MRD4JNHOT2V6EX/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":"2026-06-09T23:11:13Z","links":{"resolver":"https://pith.science/pith/L36ILVGRHRX3MRD4JNHOT2V6EX","bundle":"https://pith.science/pith/L36ILVGRHRX3MRD4JNHOT2V6EX/bundle.json","state":"https://pith.science/pith/L36ILVGRHRX3MRD4JNHOT2V6EX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L36ILVGRHRX3MRD4JNHOT2V6EX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L36ILVGRHRX3MRD4JNHOT2V6EX","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":"8044f2a063d409eeeda4591530418e392c5493b104072e829674a2387574d619","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-11T15:18:24Z","title_canon_sha256":"a0aef311542acd3d6add5487778573c7e9e69863e239c0c7f6186588cb0456bd"},"schema_version":"1.0","source":{"id":"1710.04107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04107","created_at":"2026-05-18T00:33:04Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04107v1","created_at":"2026-05-18T00:33:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04107","created_at":"2026-05-18T00:33:04Z"},{"alias_kind":"pith_short_12","alias_value":"L36ILVGRHRX3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L36ILVGRHRX3MRD4","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L36ILVGR","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:ff0a1f499276f8d98509e09336e20eacaf4a7045893b15e91797143efd9b06eb","target":"graph","created_at":"2026-05-18T00:33:04Z","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":"We consider permutation classes having two basis elements of size three and one further basis element. We completely classify the possible enumeration sequences of such classes and demonstrate that there are far fewer of them than might be expected in principle.","authors_text":"Jinge Li, Michael Albert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-11T15:18:24Z","title":"Wilf-collapse in permutation classes having two basis elements of size three"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04107","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:b1bce3f76d6bfd8b4214d5d12a0d36357d3d5c96fd08c6a7cfb027ff9aad3b63","target":"record","created_at":"2026-05-18T00:33:04Z","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":"8044f2a063d409eeeda4591530418e392c5493b104072e829674a2387574d619","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-11T15:18:24Z","title_canon_sha256":"a0aef311542acd3d6add5487778573c7e9e69863e239c0c7f6186588cb0456bd"},"schema_version":"1.0","source":{"id":"1710.04107","kind":"arxiv","version":1}},"canonical_sha256":"5efc85d4d13c6fb6447c4b4ee9eabe25c1d90a97e5fc9c57f3559e0bb57cacc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5efc85d4d13c6fb6447c4b4ee9eabe25c1d90a97e5fc9c57f3559e0bb57cacc6","first_computed_at":"2026-05-18T00:33:04.975553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:04.975553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e8wtMqlFYj1R/5wlsX0mfdbW71Uibz7+CsLKEB/iIpb5+NRqdxqhwi9peAxmkG8hmtsBpQNVGAQPUA7gZgWlDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:04.976301Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1bce3f76d6bfd8b4214d5d12a0d36357d3d5c96fd08c6a7cfb027ff9aad3b63","sha256:ff0a1f499276f8d98509e09336e20eacaf4a7045893b15e91797143efd9b06eb"],"state_sha256":"3a4b713586c9e6181028fd8de6feff9decc063f3cde4b3b04370638f0a65b242"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lrigty+j2plUhFegkLoAPQgOXBPRp4YudOVSbPyAPWbcXuYh1mFhSEUJ0vEG4Wrmchc83goCdDRQXiTZAsToAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T23:11:13.597058Z","bundle_sha256":"70e3d05fc2ed6c48a8d924e7c167152612d6e294c13dbc898bc95748fdc082f1"}}