{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TUNA7MY5H4ZGVMIJI4AKDGZ36D","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":"3bb66fe33e8889d22a59a7bcfd2a408488e91f4fec6b153e33f84bae849ee839","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-16T21:23:34Z","title_canon_sha256":"54be5c00333ac5243e5d0245cbd3d6bd64eeee67e232175fb57e57eab5dd651e"},"schema_version":"1.0","source":{"id":"1409.4808","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4808","created_at":"2026-05-18T00:45:27Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4808v2","created_at":"2026-05-18T00:45:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4808","created_at":"2026-05-18T00:45:27Z"},{"alias_kind":"pith_short_12","alias_value":"TUNA7MY5H4ZG","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TUNA7MY5H4ZGVMIJ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TUNA7MY5","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:fc3ad3335ce793393b832f870f477c0507d37486d946c4a5948126e1c1b917fb","target":"graph","created_at":"2026-05-18T00:45:27Z","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":"Let $K$ be a complete, algebraically closed, non-Archimedean valued field, and let $\\phi\\in K(z)$ with $\\textrm{deg}(\\phi) \\geq 2$. In this paper we consider the family of functions $\\textrm{ordRes}_{\\phi^n}(x)$, which measure the resultant of $\\phi^n$ at points $x$ in $\\textbf{P}^1_{\\textrm{K}}$, the Berkovich projective line, and show that they converge locally uniformly to the diagonal values of the Arakelov-Green's function $g_{\\mu_{\\phi}}(x,x)$ attached to the canonical measure of $\\phi$. Following this, we are able to prove an equidistribution result for Rumely's crucial measures $\\nu_{\\","authors_text":"Kenneth Jacobs","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-16T21:23:34Z","title":"An Equidistribution Result For Dynamical Systems on the Berkovich Projective Line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4808","kind":"arxiv","version":2},"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":"sha256:0eccfdb714d7d711389f93747fabcece99c3dc86ba7ee30547f14aff34fff542","target":"record","created_at":"2026-05-18T00:45:27Z","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":"3bb66fe33e8889d22a59a7bcfd2a408488e91f4fec6b153e33f84bae849ee839","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-16T21:23:34Z","title_canon_sha256":"54be5c00333ac5243e5d0245cbd3d6bd64eeee67e232175fb57e57eab5dd651e"},"schema_version":"1.0","source":{"id":"1409.4808","kind":"arxiv","version":2}},"canonical_sha256":"9d1a0fb31d3f326ab1094700a19b3bf0d869edf0d382b7bed4137266985a5d73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d1a0fb31d3f326ab1094700a19b3bf0d869edf0d382b7bed4137266985a5d73","first_computed_at":"2026-05-18T00:45:27.125807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:27.125807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OtEk80SoFZqWs3/8eIst7SlLqTCHgcnmAxom5wxtAuYz/0MTRc26rlzusktRn1mPKbRlafxYQcgMNY5Iw/arAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:27.126403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.4808","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0eccfdb714d7d711389f93747fabcece99c3dc86ba7ee30547f14aff34fff542","sha256:fc3ad3335ce793393b832f870f477c0507d37486d946c4a5948126e1c1b917fb"],"state_sha256":"fc227b4f2b7e38f558180068c029302a6318b9c24a33cef0311e478510467cee"}