{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SMELZ76BLIAFWOI43CJ3HSWZZE","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":"00fd8827bcf3cb6355f2dbdb7dd7aa2195d6698c3022926276bb453a0bb2d288","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-02-25T12:49:35Z","title_canon_sha256":"f5e0c1eebe5bd5f86be40c71feb42e05f3f1d7a9b2ba164abff04ae4af1b69cf"},"schema_version":"1.0","source":{"id":"1602.07912","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07912","created_at":"2026-05-18T00:49:34Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07912v3","created_at":"2026-05-18T00:49:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07912","created_at":"2026-05-18T00:49:34Z"},{"alias_kind":"pith_short_12","alias_value":"SMELZ76BLIAF","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMELZ76BLIAFWOI4","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMELZ76B","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:79448d41134140b138a68cec17df258b2c6fd6695c6c4c33d0392b14d9643da9","target":"graph","created_at":"2026-05-18T00:49:34Z","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 establish Parseval type identities and surprising new inequalities for Hilbert-Schmidt frames. Our results generalize and improve the remarkable results which have been obtained by Balan et al. and G{\\u{a}}vru{\\c{t}}a.","authors_text":"Anirudha Poria","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-02-25T12:49:35Z","title":"Some Identities and Inequalities for Hilbert-Schmidt Frames"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07912","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":"sha256:21890de89ce372bc887cb7488c080b3fe5d570bc3161c02133d5a46dec8f7d98","target":"record","created_at":"2026-05-18T00:49:34Z","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":"00fd8827bcf3cb6355f2dbdb7dd7aa2195d6698c3022926276bb453a0bb2d288","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-02-25T12:49:35Z","title_canon_sha256":"f5e0c1eebe5bd5f86be40c71feb42e05f3f1d7a9b2ba164abff04ae4af1b69cf"},"schema_version":"1.0","source":{"id":"1602.07912","kind":"arxiv","version":3}},"canonical_sha256":"9308bcffc15a005b391cd893b3cad9c913c083ca92124e612119ca63243e2fd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9308bcffc15a005b391cd893b3cad9c913c083ca92124e612119ca63243e2fd8","first_computed_at":"2026-05-18T00:49:34.710858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:34.710858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w/v/qtblQLNmriemP9Fh42OWyHS4R/Sys2bzdI3k1MiQ8qPcAEydhjVq/GwuEnhsJTtlbbexHOcKn7PJe+XyCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:34.711370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07912","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21890de89ce372bc887cb7488c080b3fe5d570bc3161c02133d5a46dec8f7d98","sha256:79448d41134140b138a68cec17df258b2c6fd6695c6c4c33d0392b14d9643da9"],"state_sha256":"9994fbba799b38433052796151158abacdd8d3ed973032ecc41d730afef57c99"}