{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CLDWGPZ6AFC64HMG74FPSQPUZU","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":"e653c79c9d1d986aa0ffc6dc6ac17fef5c917da759146b795cd35a3a99360ac0","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-06-25T14:19:19Z","title_canon_sha256":"ee9c602ad73c20c48ac40aa5ab640296f134b92c53d8929fc6072bd9cc4ab7c6"},"schema_version":"1.0","source":{"id":"2606.28418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28418","created_at":"2026-06-30T00:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28418v1","created_at":"2026-06-30T00:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28418","created_at":"2026-06-30T00:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"CLDWGPZ6AFC6","created_at":"2026-06-30T00:15:13Z"},{"alias_kind":"pith_short_16","alias_value":"CLDWGPZ6AFC64HMG","created_at":"2026-06-30T00:15:13Z"},{"alias_kind":"pith_short_8","alias_value":"CLDWGPZ6","created_at":"2026-06-30T00:15:13Z"}],"graph_snapshots":[{"event_id":"sha256:b81e8a15e1302c36049b2b6918d1d5abc562c7ae54cc679294cd580713545636","target":"graph","created_at":"2026-06-30T00:15:13Z","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/2606.28418/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we interpret developmental growth as a metabolic energy allocation problem and link the von Bertalanffy growth model to metabolic energy investments into the growth channel. Using a framework that specifies how metabolic energy is allocated among baseline maintenance, growth, and other processes, we analyse the resulting growth allocation patterns and derive direct relationships between key scaling exponents: the mass-growth exponent, the length-based exponent, the metabolic scaling exponent, and the geometric exponent, which describes the mass-length relationship. These exponent","authors_text":"Hana Krakovsk\\'a, Klaus Stiefel, Rudolf Hanel","cross_cats":["physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-06-25T14:19:19Z","title":"Metabolic scaling, von Bertalanffy growth and an exponent equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28418","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":"sha256:1bb634f3738a15c3b2455f7c6210e23f6ade88abdd8f2f9fc84e714d9cfd49c3","target":"record","created_at":"2026-06-30T00:15:13Z","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":"e653c79c9d1d986aa0ffc6dc6ac17fef5c917da759146b795cd35a3a99360ac0","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-06-25T14:19:19Z","title_canon_sha256":"ee9c602ad73c20c48ac40aa5ab640296f134b92c53d8929fc6072bd9cc4ab7c6"},"schema_version":"1.0","source":{"id":"2606.28418","kind":"arxiv","version":1}},"canonical_sha256":"12c7633f3e0145ee1d86ff0af941f4cd02c657a8c9614af0a0e977dd193b8ac5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12c7633f3e0145ee1d86ff0af941f4cd02c657a8c9614af0a0e977dd193b8ac5","first_computed_at":"2026-06-30T00:15:13.498935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T00:15:13.498935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3l7ZnqcweGzpFwTghgR4uKqiKckKb7v4B5nsix0kKS0ORiVT+NFS316nMbqYuUM3yss/STnGsUZ/Qq4UBvsiAg==","signature_status":"signed_v1","signed_at":"2026-06-30T00:15:13.499333Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.28418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bb634f3738a15c3b2455f7c6210e23f6ade88abdd8f2f9fc84e714d9cfd49c3","sha256:b81e8a15e1302c36049b2b6918d1d5abc562c7ae54cc679294cd580713545636"],"state_sha256":"75d33e3ed6d1b683cfdb01e13dbea7b6c3e88aedd4ae57f050be3ee533fc8903"}