{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:EEQYF5WJVEMDXZ2ZF2J6A4K7RB","short_pith_number":"pith:EEQYF5WJ","canonical_record":{"source":{"id":"1402.3842","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-16T21:26:52Z","cross_cats_sorted":[],"title_canon_sha256":"85e58862380c1b628ec6b233f3e9104221a0db6a46741cd255af286ac3308769","abstract_canon_sha256":"4ab668797192bc6993dda2e22269005017e4c79b9fa01ee726a1639731eb3e71"},"schema_version":"1.0"},"canonical_sha256":"212182f6c9a9183be7592e93e0715f886406be20a8b3c97debdf528eac7bd698","source":{"kind":"arxiv","id":"1402.3842","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3842","created_at":"2026-05-18T02:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3842v3","created_at":"2026-05-18T02:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3842","created_at":"2026-05-18T02:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"EEQYF5WJVEMD","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EEQYF5WJVEMDXZ2Z","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EEQYF5WJ","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:EEQYF5WJVEMDXZ2ZF2J6A4K7RB","target":"record","payload":{"canonical_record":{"source":{"id":"1402.3842","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-16T21:26:52Z","cross_cats_sorted":[],"title_canon_sha256":"85e58862380c1b628ec6b233f3e9104221a0db6a46741cd255af286ac3308769","abstract_canon_sha256":"4ab668797192bc6993dda2e22269005017e4c79b9fa01ee726a1639731eb3e71"},"schema_version":"1.0"},"canonical_sha256":"212182f6c9a9183be7592e93e0715f886406be20a8b3c97debdf528eac7bd698","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:24.817527Z","signature_b64":"q8SeXXn7T30QYhLcqP1qGfZg1T4t3tLoeHvGt0a5H9Eguz3xL7CpHl1ZbChTJVY2wgMHFRfU2oN5poXqnmfBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"212182f6c9a9183be7592e93e0715f886406be20a8b3c97debdf528eac7bd698","last_reissued_at":"2026-05-18T02:41:24.817098Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:24.817098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.3842","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kEO7+RWgzRzPI+nY9apUXNw9LvqEFeTObUf4I7qMZ7fb5Slnz8G29tWslUtmtdRppFSuh7eTB8mipJ/NgR5OBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:28:47.190451Z"},"content_sha256":"dbdb6855b64431e6354125000b1517426e1c3a69816b0716900623869b25bd18","schema_version":"1.0","event_id":"sha256:dbdb6855b64431e6354125000b1517426e1c3a69816b0716900623869b25bd18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:EEQYF5WJVEMDXZ2ZF2J6A4K7RB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two Examples of Unbalanced Wilf-Equivalence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alexander Burstein, Jay Pantone","submitted_at":"2014-02-16T21:26:52Z","abstract_excerpt":"We prove that the set of patterns {1324,3416725} is Wilf-equivalent to the pattern 1234 and that the set of patterns {2143,3142,246135} is Wilf-equivalent to the set of patterns {2413,3142}. These are the first known unbalanced Wilf-equivalences for classical patterns between finite sets of patterns."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3842","kind":"arxiv","version":3},"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":"2026-05-18T02:41:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CmbwlNwdF+gj69tj8Ck+UobZx2o251toixNAURH8DZk9X8FCTogVB2qvT8WSw0L1ybzdLLpi9fsJblp32TIBAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:28:47.191161Z"},"content_sha256":"c2a5b97b2708002cbb66708fce068d285a8fa8967d8d795172e3da456ac2d013","schema_version":"1.0","event_id":"sha256:c2a5b97b2708002cbb66708fce068d285a8fa8967d8d795172e3da456ac2d013"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EEQYF5WJVEMDXZ2ZF2J6A4K7RB/bundle.json","state_url":"https://pith.science/pith/EEQYF5WJVEMDXZ2ZF2J6A4K7RB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EEQYF5WJVEMDXZ2ZF2J6A4K7RB/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":"2026-06-07T16:28:47Z","links":{"resolver":"https://pith.science/pith/EEQYF5WJVEMDXZ2ZF2J6A4K7RB","bundle":"https://pith.science/pith/EEQYF5WJVEMDXZ2ZF2J6A4K7RB/bundle.json","state":"https://pith.science/pith/EEQYF5WJVEMDXZ2ZF2J6A4K7RB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EEQYF5WJVEMDXZ2ZF2J6A4K7RB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EEQYF5WJVEMDXZ2ZF2J6A4K7RB","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":"4ab668797192bc6993dda2e22269005017e4c79b9fa01ee726a1639731eb3e71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-16T21:26:52Z","title_canon_sha256":"85e58862380c1b628ec6b233f3e9104221a0db6a46741cd255af286ac3308769"},"schema_version":"1.0","source":{"id":"1402.3842","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3842","created_at":"2026-05-18T02:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3842v3","created_at":"2026-05-18T02:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3842","created_at":"2026-05-18T02:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"EEQYF5WJVEMD","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EEQYF5WJVEMDXZ2Z","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EEQYF5WJ","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:c2a5b97b2708002cbb66708fce068d285a8fa8967d8d795172e3da456ac2d013","target":"graph","created_at":"2026-05-18T02:41:24Z","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 prove that the set of patterns {1324,3416725} is Wilf-equivalent to the pattern 1234 and that the set of patterns {2143,3142,246135} is Wilf-equivalent to the set of patterns {2413,3142}. These are the first known unbalanced Wilf-equivalences for classical patterns between finite sets of patterns.","authors_text":"Alexander Burstein, Jay Pantone","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-16T21:26:52Z","title":"Two Examples of Unbalanced Wilf-Equivalence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3842","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:dbdb6855b64431e6354125000b1517426e1c3a69816b0716900623869b25bd18","target":"record","created_at":"2026-05-18T02:41:24Z","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":"4ab668797192bc6993dda2e22269005017e4c79b9fa01ee726a1639731eb3e71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-16T21:26:52Z","title_canon_sha256":"85e58862380c1b628ec6b233f3e9104221a0db6a46741cd255af286ac3308769"},"schema_version":"1.0","source":{"id":"1402.3842","kind":"arxiv","version":3}},"canonical_sha256":"212182f6c9a9183be7592e93e0715f886406be20a8b3c97debdf528eac7bd698","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"212182f6c9a9183be7592e93e0715f886406be20a8b3c97debdf528eac7bd698","first_computed_at":"2026-05-18T02:41:24.817098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:24.817098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q8SeXXn7T30QYhLcqP1qGfZg1T4t3tLoeHvGt0a5H9Eguz3xL7CpHl1ZbChTJVY2wgMHFRfU2oN5poXqnmfBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:24.817527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3842","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbdb6855b64431e6354125000b1517426e1c3a69816b0716900623869b25bd18","sha256:c2a5b97b2708002cbb66708fce068d285a8fa8967d8d795172e3da456ac2d013"],"state_sha256":"53018e7bca29c8e7241bc515a67374172a2c1b0dcdbe171777083083bf26bc6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iD97j4frrC/+RWihSKPY1GzrurNfFdwg7zBFaxrS9GxD4uso9wK0T17LTe+ab+gN37sVluIJ+rjgHwOiKE6cCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:28:47.195180Z","bundle_sha256":"3a14db5205999ba67756f82f6ac0d31b74521d71cfc398131b84d07925d6e042"}}