{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:KQNSAVRSFZH3K5K4C4MX3QYF37","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":"480a9c57bf0e2538e8ccab329539217c43807d7c146ffabb1f77d5c614cad081","cross_cats_sorted":[],"license":"","primary_cat":"q-bio.QM","submitted_at":"2007-06-08T16:52:48Z","title_canon_sha256":"0343d295b2fef9d7c7f9375ea2a2acafb70a6dc5465d6e2edaf3d63f5acda807"},"schema_version":"1.0","source":{"id":"0706.1198","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.1198","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"arxiv_version","alias_value":"0706.1198v1","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.1198","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"pith_short_12","alias_value":"KQNSAVRSFZH3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KQNSAVRSFZH3K5K4","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KQNSAVRS","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:4a4d2b627f197395eef78397c51bf638bdc5bbeb8300fb0575688f8f1a9aadce","target":"graph","created_at":"2026-05-18T03:42:56Z","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":"It is basic question in biology and other fields to identify the char- acteristic properties that on one hand are shared by structures from a particular realm, like gene regulation, protein-protein interaction or neu- ral networks or foodwebs, and that on the other hand distinguish them from other structures. We introduce and apply a general method, based on the spectrum of the normalized graph Laplacian, that yields repre- sentations, the spectral plots, that allow us to find and visualize such properties systematically. We present such visualizations for a wide range of biological networks a","authors_text":"Anirban Banerjee, J\\\"urgen Jost","cross_cats":[],"headline":"","license":"","primary_cat":"q-bio.QM","submitted_at":"2007-06-08T16:52:48Z","title":"Spectral plots and the representation and interpretation of biological data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.1198","kind":"arxiv","version":1},"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:c1f71f20678a711ffb8a49220643edb2b100bd22a98b31666f1e2cf5394ff36f","target":"record","created_at":"2026-05-18T03:42:56Z","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":"480a9c57bf0e2538e8ccab329539217c43807d7c146ffabb1f77d5c614cad081","cross_cats_sorted":[],"license":"","primary_cat":"q-bio.QM","submitted_at":"2007-06-08T16:52:48Z","title_canon_sha256":"0343d295b2fef9d7c7f9375ea2a2acafb70a6dc5465d6e2edaf3d63f5acda807"},"schema_version":"1.0","source":{"id":"0706.1198","kind":"arxiv","version":1}},"canonical_sha256":"541b2056322e4fb5755c17197dc305dfc6858b10428350fca97c3985468f54b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"541b2056322e4fb5755c17197dc305dfc6858b10428350fca97c3985468f54b4","first_computed_at":"2026-05-18T03:42:56.075102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:56.075102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kUrMHOTc3jX6T8Gv8bX30QWmwpvwYcQ7bk+HiZ8tAa1YPPzkhXhH9ZMe9Cehx+iYZBcwRn73WFIZ1892GBG+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:56.075798Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.1198","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1f71f20678a711ffb8a49220643edb2b100bd22a98b31666f1e2cf5394ff36f","sha256:4a4d2b627f197395eef78397c51bf638bdc5bbeb8300fb0575688f8f1a9aadce"],"state_sha256":"adb6f66eb33ab9e328361837bf7b013858ca903ae8afe8730e4475599f2e9a72"}