{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4YDZTSNRWSDT3LO7KZPM7CVMPL","short_pith_number":"pith:4YDZTSNR","canonical_record":{"source":{"id":"1702.06897","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-21T16:52:28Z","cross_cats_sorted":["math.CO","math.GN"],"title_canon_sha256":"3988e3cfeeda5e46133032273fe4e38efda983b8c9e9a881d78a08960a145175","abstract_canon_sha256":"52796b813d32c66afe31df8568fac828b8d834f3d18f2449568dea5be7764eb9"},"schema_version":"1.0"},"canonical_sha256":"e60799c9b1b4873daddf565ecf8aac7adfc8b72ef1ad2fc819a0639f307465b1","source":{"kind":"arxiv","id":"1702.06897","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06897","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06897v4","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06897","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"4YDZTSNRWSDT","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4YDZTSNRWSDT3LO7","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4YDZTSNR","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4YDZTSNRWSDT3LO7KZPM7CVMPL","target":"record","payload":{"canonical_record":{"source":{"id":"1702.06897","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-21T16:52:28Z","cross_cats_sorted":["math.CO","math.GN"],"title_canon_sha256":"3988e3cfeeda5e46133032273fe4e38efda983b8c9e9a881d78a08960a145175","abstract_canon_sha256":"52796b813d32c66afe31df8568fac828b8d834f3d18f2449568dea5be7764eb9"},"schema_version":"1.0"},"canonical_sha256":"e60799c9b1b4873daddf565ecf8aac7adfc8b72ef1ad2fc819a0639f307465b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:39.888606Z","signature_b64":"Y0pQvPSK6Wcpgp296k9vpxFwT96oZV07q3JdEKxTnxs3tnB8478kphjcnboJnz9e+f8HHAFj0WJlY2rBabhlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e60799c9b1b4873daddf565ecf8aac7adfc8b72ef1ad2fc819a0639f307465b1","last_reissued_at":"2026-05-18T00:02:39.887947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:39.887947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.06897","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uNTCZvjK3zYG8UqRYlQ3Nu72MjV1N+IUu4fuMJWs6mtsHCi8rEeOYf7Moi0SgLEsf7BR9q3au03z1V2Q+hNuCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T04:35:57.470847Z"},"content_sha256":"3270ab531d8d608e22c4e4870cca48b6fd2583e53f3bde192b706527bfc913fd","schema_version":"1.0","event_id":"sha256:3270ab531d8d608e22c4e4870cca48b6fd2583e53f3bde192b706527bfc913fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4YDZTSNRWSDT3LO7KZPM7CVMPL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rigidity of powers and Kosniowski's conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.GN"],"primary_cat":"math.AT","authors_text":"Oleg R. Musin, Zhi L\\\"u","submitted_at":"2017-02-21T16:52:28Z","abstract_excerpt":"In this paper we state a problem on rigidity of powers, which has a strong topological background for the rigid Hirzebruch genera and Kosniowski's conjecture of unitary circle actions. However, our statement of this problem is elementary enough and does not require any knowledge of algebraic topology. We shall give a solution of this problem for some particular cases. As a consequence, we obtain that Kosniowski's conjecture holds in the case of dimension less than 11 or equal to 14."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06897","kind":"arxiv","version":4},"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":"2026-05-18T00:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ckhdrxpGaxaYzcbEJGRbpj7W1dGXSWzjS8UuBy0tHhfzqDFdExZ9z/ZCX3K9i0nQ7gF0yV+MMgU8XkvjEHd+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T04:35:57.471631Z"},"content_sha256":"8f086545d930c6206cf64771c8f64c2819cc200a7d4672950deb710989fac8f2","schema_version":"1.0","event_id":"sha256:8f086545d930c6206cf64771c8f64c2819cc200a7d4672950deb710989fac8f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4YDZTSNRWSDT3LO7KZPM7CVMPL/bundle.json","state_url":"https://pith.science/pith/4YDZTSNRWSDT3LO7KZPM7CVMPL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4YDZTSNRWSDT3LO7KZPM7CVMPL/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":"2026-05-20T04:35:57Z","links":{"resolver":"https://pith.science/pith/4YDZTSNRWSDT3LO7KZPM7CVMPL","bundle":"https://pith.science/pith/4YDZTSNRWSDT3LO7KZPM7CVMPL/bundle.json","state":"https://pith.science/pith/4YDZTSNRWSDT3LO7KZPM7CVMPL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4YDZTSNRWSDT3LO7KZPM7CVMPL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4YDZTSNRWSDT3LO7KZPM7CVMPL","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":"52796b813d32c66afe31df8568fac828b8d834f3d18f2449568dea5be7764eb9","cross_cats_sorted":["math.CO","math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-21T16:52:28Z","title_canon_sha256":"3988e3cfeeda5e46133032273fe4e38efda983b8c9e9a881d78a08960a145175"},"schema_version":"1.0","source":{"id":"1702.06897","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06897","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06897v4","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06897","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"4YDZTSNRWSDT","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4YDZTSNRWSDT3LO7","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4YDZTSNR","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:8f086545d930c6206cf64771c8f64c2819cc200a7d4672950deb710989fac8f2","target":"graph","created_at":"2026-05-18T00:02:39Z","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 state a problem on rigidity of powers, which has a strong topological background for the rigid Hirzebruch genera and Kosniowski's conjecture of unitary circle actions. However, our statement of this problem is elementary enough and does not require any knowledge of algebraic topology. We shall give a solution of this problem for some particular cases. As a consequence, we obtain that Kosniowski's conjecture holds in the case of dimension less than 11 or equal to 14.","authors_text":"Oleg R. Musin, Zhi L\\\"u","cross_cats":["math.CO","math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-21T16:52:28Z","title":"Rigidity of powers and Kosniowski's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06897","kind":"arxiv","version":4},"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":"sha256:3270ab531d8d608e22c4e4870cca48b6fd2583e53f3bde192b706527bfc913fd","target":"record","created_at":"2026-05-18T00:02:39Z","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":"52796b813d32c66afe31df8568fac828b8d834f3d18f2449568dea5be7764eb9","cross_cats_sorted":["math.CO","math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-21T16:52:28Z","title_canon_sha256":"3988e3cfeeda5e46133032273fe4e38efda983b8c9e9a881d78a08960a145175"},"schema_version":"1.0","source":{"id":"1702.06897","kind":"arxiv","version":4}},"canonical_sha256":"e60799c9b1b4873daddf565ecf8aac7adfc8b72ef1ad2fc819a0639f307465b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e60799c9b1b4873daddf565ecf8aac7adfc8b72ef1ad2fc819a0639f307465b1","first_computed_at":"2026-05-18T00:02:39.887947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:39.887947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y0pQvPSK6Wcpgp296k9vpxFwT96oZV07q3JdEKxTnxs3tnB8478kphjcnboJnz9e+f8HHAFj0WJlY2rBabhlDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:39.888606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06897","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3270ab531d8d608e22c4e4870cca48b6fd2583e53f3bde192b706527bfc913fd","sha256:8f086545d930c6206cf64771c8f64c2819cc200a7d4672950deb710989fac8f2"],"state_sha256":"2b38c4a8550bf6332128cd619753b4b2dd3d8411478c4497c2d709b7b142001d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2+5b1731U4K+BOvBSP2Tm6xMtuCufKaUwSFDe6OIYH62hJrKomJkIM/WrFwGX/JKueAty/x7P8jD1f50VxM9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T04:35:57.476054Z","bundle_sha256":"02e6f6a98447f6f5b25794f734f9f92f1e781586f50229a4ff4d1415c6da5fa7"}}