{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:TVXXJ2M5QQWP535FSTTF2WNMBP","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":"297f3fe6d2c1179efb45ce5ec3e2e8ccfa78b192f7b7cb10e8f671d93608273e","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-11-09T20:37:35Z","title_canon_sha256":"1ada1ca479f577ec6a52d7c265ec6acc919f0bddfb5de5b35b8da51556176d27"},"schema_version":"1.0","source":{"id":"quant-ph/0611099","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0611099","created_at":"2026-05-18T01:37:53Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0611099v2","created_at":"2026-05-18T01:37:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0611099","created_at":"2026-05-18T01:37:53Z"},{"alias_kind":"pith_short_12","alias_value":"TVXXJ2M5QQWP","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"TVXXJ2M5QQWP535F","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"TVXXJ2M5","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:844c7908ad15249c7e2cfb6668a6266e7d17704b3ec1a5bcaf5df0d17246700b","target":"graph","created_at":"2026-05-18T01:37:53Z","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":"This paper explains how a popular, commercially-available software package for solving partial-differential-equations (PDEs), as based on the finite-element method (FEM), can be configured to calculate, efficiently, the frequencies and fields of the whispering-gallery (WG) modes of axisymmetric dielectric resonators. The approach is traceable; it exploits the PDE-solver's ability to accept the definition of solutions to Maxwell's equations in so-called `weak form'. Associated expressions and methods for estimating a WG mode's volume, filling factor(s) and, in the case of closed(open) resonator","authors_text":"Mark Oxborrow","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-11-09T20:37:35Z","title":"Traceable 2D finite-element simulation of the whispering-gallery modes of axisymmetric electromagnetic resonators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0611099","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:fcd680262e3055b888c2311e168e57f63d0ef0b8f4650fb8228c85edfdd75e4d","target":"record","created_at":"2026-05-18T01:37:53Z","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":"297f3fe6d2c1179efb45ce5ec3e2e8ccfa78b192f7b7cb10e8f671d93608273e","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-11-09T20:37:35Z","title_canon_sha256":"1ada1ca479f577ec6a52d7c265ec6acc919f0bddfb5de5b35b8da51556176d27"},"schema_version":"1.0","source":{"id":"quant-ph/0611099","kind":"arxiv","version":2}},"canonical_sha256":"9d6f74e99d842cfeefa594e65d59ac0bdbdd04d83fdbfb61a60f29f86e2c1de8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d6f74e99d842cfeefa594e65d59ac0bdbdd04d83fdbfb61a60f29f86e2c1de8","first_computed_at":"2026-05-18T01:37:53.901995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:53.901995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9kGtVAoRb453gppkPY3zg59ZAhEudDTJIvx/WT5ZjvDwV+NqhyLioSI/arpNc4rOuWNb9gV51FK5KqJCam7+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:53.902520Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0611099","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcd680262e3055b888c2311e168e57f63d0ef0b8f4650fb8228c85edfdd75e4d","sha256:844c7908ad15249c7e2cfb6668a6266e7d17704b3ec1a5bcaf5df0d17246700b"],"state_sha256":"363faf7f95607e6f0286e1c7125e1ff81fb0172f31b2541430133641b12c6d37"}