{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:LDEKH4XPZHH4IFP3HFWXJIAWSN","short_pith_number":"pith:LDEKH4XP","canonical_record":{"source":{"id":"1009.5518","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-09-28T10:18:58Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"91fcc19846c235468c8501c6d8595ec6bc9d5e87364ac35400eaa4f613c44a60","abstract_canon_sha256":"73e2a4af7958b88b3c382e706a17085f77a76953d76ef16e1a6b846dc410f412"},"schema_version":"1.0"},"canonical_sha256":"58c8a3f2efc9cfc415fb396d74a016935a862427e85eac82826fd0dfc66d247d","source":{"kind":"arxiv","id":"1009.5518","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5518","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5518v3","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5518","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"pith_short_12","alias_value":"LDEKH4XPZHH4","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LDEKH4XPZHH4IFP3","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LDEKH4XP","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:LDEKH4XPZHH4IFP3HFWXJIAWSN","target":"record","payload":{"canonical_record":{"source":{"id":"1009.5518","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-09-28T10:18:58Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"91fcc19846c235468c8501c6d8595ec6bc9d5e87364ac35400eaa4f613c44a60","abstract_canon_sha256":"73e2a4af7958b88b3c382e706a17085f77a76953d76ef16e1a6b846dc410f412"},"schema_version":"1.0"},"canonical_sha256":"58c8a3f2efc9cfc415fb396d74a016935a862427e85eac82826fd0dfc66d247d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:44.785592Z","signature_b64":"qaYT6s/WsIupKoLhAjDMV2xzqb05nsHquZHmbYZ1gkCQDgUCj0AB2WKfs6A75mBVk30p0xmbXVrtGtBnsdptAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58c8a3f2efc9cfc415fb396d74a016935a862427e85eac82826fd0dfc66d247d","last_reissued_at":"2026-05-18T04:08:44.784970Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:44.784970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.5518","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":"2026-05-18T04:08:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wpt+wzLeCoN3G3YwBW5Tcpo0DVN9O35UZ5Y0Xs45WyYBcujyolzQVbkgk/oSArAAW9YY2TUwtga9JTjm1u8/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:37:56.931632Z"},"content_sha256":"77f011789979b249b6091b65741b31552dedff3dd12619f38547c3cdcffca39f","schema_version":"1.0","event_id":"sha256:77f011789979b249b6091b65741b31552dedff3dd12619f38547c3cdcffca39f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:LDEKH4XPZHH4IFP3HFWXJIAWSN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.CO","authors_text":"Matthias Aschenbrenner","submitted_at":"2010-09-28T10:18:58Z","abstract_excerpt":"A proof for a conjecture by Shadrin and Zvonkine, relating the entries of a matrix arising in the study of Hurwitz numbers to a certain sequence of rational numbers, is given. The main tools used are iteration matrices of formal power series and their (matrix) logarithms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5518","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":"2026-05-18T04:08:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6hCaXyX/ecGnvmtntOrSCuGMs3kZ4ljizDvidCqSA+e1jfj/9gttfdaLQ2ZwU9BSIVHGlXGGaNALnm8t5Q4pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:37:56.931979Z"},"content_sha256":"29419c41aae7b56d5714ad75647b8123d52d491a81a8edd2b4ea917d109322ab","schema_version":"1.0","event_id":"sha256:29419c41aae7b56d5714ad75647b8123d52d491a81a8edd2b4ea917d109322ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LDEKH4XPZHH4IFP3HFWXJIAWSN/bundle.json","state_url":"https://pith.science/pith/LDEKH4XPZHH4IFP3HFWXJIAWSN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LDEKH4XPZHH4IFP3HFWXJIAWSN/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":"2026-06-08T22:37:56Z","links":{"resolver":"https://pith.science/pith/LDEKH4XPZHH4IFP3HFWXJIAWSN","bundle":"https://pith.science/pith/LDEKH4XPZHH4IFP3HFWXJIAWSN/bundle.json","state":"https://pith.science/pith/LDEKH4XPZHH4IFP3HFWXJIAWSN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LDEKH4XPZHH4IFP3HFWXJIAWSN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LDEKH4XPZHH4IFP3HFWXJIAWSN","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":"73e2a4af7958b88b3c382e706a17085f77a76953d76ef16e1a6b846dc410f412","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-09-28T10:18:58Z","title_canon_sha256":"91fcc19846c235468c8501c6d8595ec6bc9d5e87364ac35400eaa4f613c44a60"},"schema_version":"1.0","source":{"id":"1009.5518","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5518","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5518v3","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5518","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"pith_short_12","alias_value":"LDEKH4XPZHH4","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LDEKH4XPZHH4IFP3","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LDEKH4XP","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:29419c41aae7b56d5714ad75647b8123d52d491a81a8edd2b4ea917d109322ab","target":"graph","created_at":"2026-05-18T04:08:44Z","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 proof for a conjecture by Shadrin and Zvonkine, relating the entries of a matrix arising in the study of Hurwitz numbers to a certain sequence of rational numbers, is given. The main tools used are iteration matrices of formal power series and their (matrix) logarithms.","authors_text":"Matthias Aschenbrenner","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-09-28T10:18:58Z","title":"Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5518","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":"sha256:77f011789979b249b6091b65741b31552dedff3dd12619f38547c3cdcffca39f","target":"record","created_at":"2026-05-18T04:08:44Z","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":"73e2a4af7958b88b3c382e706a17085f77a76953d76ef16e1a6b846dc410f412","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-09-28T10:18:58Z","title_canon_sha256":"91fcc19846c235468c8501c6d8595ec6bc9d5e87364ac35400eaa4f613c44a60"},"schema_version":"1.0","source":{"id":"1009.5518","kind":"arxiv","version":3}},"canonical_sha256":"58c8a3f2efc9cfc415fb396d74a016935a862427e85eac82826fd0dfc66d247d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58c8a3f2efc9cfc415fb396d74a016935a862427e85eac82826fd0dfc66d247d","first_computed_at":"2026-05-18T04:08:44.784970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:44.784970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qaYT6s/WsIupKoLhAjDMV2xzqb05nsHquZHmbYZ1gkCQDgUCj0AB2WKfs6A75mBVk30p0xmbXVrtGtBnsdptAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:44.785592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5518","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77f011789979b249b6091b65741b31552dedff3dd12619f38547c3cdcffca39f","sha256:29419c41aae7b56d5714ad75647b8123d52d491a81a8edd2b4ea917d109322ab"],"state_sha256":"866f18afb051d18cec93a84f1a24fb3d8ed16a999c7185fca234e92f5cdff4db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d+TNvK5ZfN8PzJEvrxcjLCIxRI29YgjGJZ7Z4NBNSO+8ryI3JSSnvYnzwFFNmVP95ddNLFnUDLiT2OJ4RXh9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T22:37:56.933902Z","bundle_sha256":"40be52f630e151ab8c6f99a62cda881656f2a89217c0df16a6f7408384440969"}}