{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RBIO2KSPV37JSIK7E5GJWRSGTI","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":"d5b29d3703b34a0f748833099244c4505dec9dff3f94b3138c11acd04d0feaf9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2023-10-23T08:24:33Z","title_canon_sha256":"1e7167016de5b213be91c773fe6d6f3ebe41b09073e867120f139f4bc2e31eb7"},"schema_version":"1.0","source":{"id":"2310.14683","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.14683","created_at":"2026-07-05T08:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"2310.14683v2","created_at":"2026-07-05T08:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.14683","created_at":"2026-07-05T08:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"RBIO2KSPV37J","created_at":"2026-07-05T08:02:22Z"},{"alias_kind":"pith_short_16","alias_value":"RBIO2KSPV37JSIK7","created_at":"2026-07-05T08:02:22Z"},{"alias_kind":"pith_short_8","alias_value":"RBIO2KSP","created_at":"2026-07-05T08:02:22Z"}],"graph_snapshots":[{"event_id":"sha256:e0418ce0e31c9672fb95c683fa0da62f85d630577dafa93061c5745b9fe442ac","target":"graph","created_at":"2026-07-05T08:02:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.14683/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the short note, we describe a sampling construction that yields a sequence of graphons converging to a prescribed limit graphon in 1-norm. This convergence is stronger than the convergence in the cut norm, usually used to study graphon sequences. The note also contains errata of the previous version of the note.","authors_text":"Feng Ji, Wee Peng Tay, Xingchao Jian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2023-10-23T08:24:33Z","title":"A sampling construction of graphon 1-norm convergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.14683","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:aec815ee8d61272944714af031d8f9e3952f690907827a58520d498389925fa4","target":"record","created_at":"2026-07-05T08:02:22Z","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":"d5b29d3703b34a0f748833099244c4505dec9dff3f94b3138c11acd04d0feaf9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2023-10-23T08:24:33Z","title_canon_sha256":"1e7167016de5b213be91c773fe6d6f3ebe41b09073e867120f139f4bc2e31eb7"},"schema_version":"1.0","source":{"id":"2310.14683","kind":"arxiv","version":2}},"canonical_sha256":"8850ed2a4faefe99215f274c9b46469a3e52c1ff5cb8247dc119058acfd9dacf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8850ed2a4faefe99215f274c9b46469a3e52c1ff5cb8247dc119058acfd9dacf","first_computed_at":"2026-07-05T08:02:22.281632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:02:22.281632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zPq0O9RT+8HvM0Bnpsg9Z3QpGXEAofnvuqM8SohLfqFJij5kTRbe7Bx8rMXRECkPZAzAJfXMrWifUW3lxQ5dBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:02:22.282108Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.14683","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aec815ee8d61272944714af031d8f9e3952f690907827a58520d498389925fa4","sha256:e0418ce0e31c9672fb95c683fa0da62f85d630577dafa93061c5745b9fe442ac"],"state_sha256":"0366718f6adf35ff3dfe08cc5109990ba19c7bb2d4255e2c08055850c6a9c5a1"}