{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SOWO7UQN46F22VO7P4FDXKE22D","short_pith_number":"pith:SOWO7UQN","canonical_record":{"source":{"id":"1602.08999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-29T15:16:07Z","cross_cats_sorted":[],"title_canon_sha256":"93158eaa73ef177bce1943c9ce71cf8414627afdb20bc38d9fa31c5542f97f77","abstract_canon_sha256":"651177ffaa0df7b6e0a748cc404262bf5a353affa35b96285d4dab76c025756f"},"schema_version":"1.0"},"canonical_sha256":"93acefd20de78bad55df7f0a3ba89ad0d9da89a63b81f37f00e8334f4cbf3b7d","source":{"kind":"arxiv","id":"1602.08999","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08999","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08999v1","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08999","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"SOWO7UQN46F2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SOWO7UQN46F22VO7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SOWO7UQN","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SOWO7UQN46F22VO7P4FDXKE22D","target":"record","payload":{"canonical_record":{"source":{"id":"1602.08999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-29T15:16:07Z","cross_cats_sorted":[],"title_canon_sha256":"93158eaa73ef177bce1943c9ce71cf8414627afdb20bc38d9fa31c5542f97f77","abstract_canon_sha256":"651177ffaa0df7b6e0a748cc404262bf5a353affa35b96285d4dab76c025756f"},"schema_version":"1.0"},"canonical_sha256":"93acefd20de78bad55df7f0a3ba89ad0d9da89a63b81f37f00e8334f4cbf3b7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:51.510114Z","signature_b64":"FEuzpELsmyDjV41NgioV808lhVYK9KuXbHmS3C/2F/GrlKWzv9jWYSmgEH3keHiNnypmd0lG6RhfTonMWobQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93acefd20de78bad55df7f0a3ba89ad0d9da89a63b81f37f00e8334f4cbf3b7d","last_reissued_at":"2026-05-18T01:19:51.509646Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:51.509646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.08999","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":"2026-05-18T01:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k2qYqFrSUpF4Xsif/cbaDAR5SxErV3st5LZ2X7JOxzwx4m1TgunA1JrXBjJHmLZRhVsXZG4kQoDaQWXMV+IvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:42:33.031271Z"},"content_sha256":"bf63db2527a111bed89c5d671ea78536a7647bcd2c8ebd130c112132c549db12","schema_version":"1.0","event_id":"sha256:bf63db2527a111bed89c5d671ea78536a7647bcd2c8ebd130c112132c549db12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SOWO7UQN46F22VO7P4FDXKE22D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simsun permutations, simsun successions and simsun patterns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Shi-Mei Ma, Yeong-Nan Yeh","submitted_at":"2016-02-29T15:16:07Z","abstract_excerpt":"In this paper, we introduce the definitions of simsun succession, simsun cycle succession and simsun pattern. In particular, the ordinary simsun permutations are permutations avoiding simsun pattern 321. We study the descent and peak statistics on permutations avoiding simsun successions. We give a combinatorial interpretation of the q-Eulerian polynomials introduced by Brenti (J. Combin. Theory Ser. A 91 (2000), 137-170). We also present a bijection between permutations avoiding simsun pattern 132 and set partitions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08999","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":"2026-05-18T01:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uwve4u4BKghJh1bSUfsVJo+pYm8DGSwyj4IyBcK6C8OQ/Z0VDRejHhy864pQDxwAU0UtxyeKHUrMup2AX2lGCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:42:33.031624Z"},"content_sha256":"ae7c861c1c03dc0ed319463c011d72c2f07a77bddf2f29612fb807711b0c3a1e","schema_version":"1.0","event_id":"sha256:ae7c861c1c03dc0ed319463c011d72c2f07a77bddf2f29612fb807711b0c3a1e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SOWO7UQN46F22VO7P4FDXKE22D/bundle.json","state_url":"https://pith.science/pith/SOWO7UQN46F22VO7P4FDXKE22D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SOWO7UQN46F22VO7P4FDXKE22D/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":"2026-06-01T18:42:33Z","links":{"resolver":"https://pith.science/pith/SOWO7UQN46F22VO7P4FDXKE22D","bundle":"https://pith.science/pith/SOWO7UQN46F22VO7P4FDXKE22D/bundle.json","state":"https://pith.science/pith/SOWO7UQN46F22VO7P4FDXKE22D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SOWO7UQN46F22VO7P4FDXKE22D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SOWO7UQN46F22VO7P4FDXKE22D","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":"651177ffaa0df7b6e0a748cc404262bf5a353affa35b96285d4dab76c025756f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-29T15:16:07Z","title_canon_sha256":"93158eaa73ef177bce1943c9ce71cf8414627afdb20bc38d9fa31c5542f97f77"},"schema_version":"1.0","source":{"id":"1602.08999","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08999","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08999v1","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08999","created_at":"2026-05-18T01:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"SOWO7UQN46F2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SOWO7UQN46F22VO7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SOWO7UQN","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:ae7c861c1c03dc0ed319463c011d72c2f07a77bddf2f29612fb807711b0c3a1e","target":"graph","created_at":"2026-05-18T01:19:51Z","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 paper, we introduce the definitions of simsun succession, simsun cycle succession and simsun pattern. In particular, the ordinary simsun permutations are permutations avoiding simsun pattern 321. We study the descent and peak statistics on permutations avoiding simsun successions. We give a combinatorial interpretation of the q-Eulerian polynomials introduced by Brenti (J. Combin. Theory Ser. A 91 (2000), 137-170). We also present a bijection between permutations avoiding simsun pattern 132 and set partitions.","authors_text":"Shi-Mei Ma, Yeong-Nan Yeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-29T15:16:07Z","title":"Simsun permutations, simsun successions and simsun patterns"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08999","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:bf63db2527a111bed89c5d671ea78536a7647bcd2c8ebd130c112132c549db12","target":"record","created_at":"2026-05-18T01:19:51Z","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":"651177ffaa0df7b6e0a748cc404262bf5a353affa35b96285d4dab76c025756f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-29T15:16:07Z","title_canon_sha256":"93158eaa73ef177bce1943c9ce71cf8414627afdb20bc38d9fa31c5542f97f77"},"schema_version":"1.0","source":{"id":"1602.08999","kind":"arxiv","version":1}},"canonical_sha256":"93acefd20de78bad55df7f0a3ba89ad0d9da89a63b81f37f00e8334f4cbf3b7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93acefd20de78bad55df7f0a3ba89ad0d9da89a63b81f37f00e8334f4cbf3b7d","first_computed_at":"2026-05-18T01:19:51.509646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:51.509646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FEuzpELsmyDjV41NgioV808lhVYK9KuXbHmS3C/2F/GrlKWzv9jWYSmgEH3keHiNnypmd0lG6RhfTonMWobQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:51.510114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08999","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf63db2527a111bed89c5d671ea78536a7647bcd2c8ebd130c112132c549db12","sha256:ae7c861c1c03dc0ed319463c011d72c2f07a77bddf2f29612fb807711b0c3a1e"],"state_sha256":"4bbd21608f390b5c4575b7ef73a087b580725e696447260bf715786ca00504fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NdiSakm0fULOEyBrDnIYRE4mVPOnMtymF7zHHeACjbaOxXD7QibsUSd0W9eRn7yDI9Io9hp4kICSzduriuwWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:42:33.033569Z","bundle_sha256":"c414bda294c6134f63df39ee1206bf8e3624d296b98f4a7acda8ee3038dfba3b"}}