{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F6NE6VO4ETBWDR7LA33S73K6XZ","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":"05c2f26df17e408629af67b1ad30cd76b3065d2c654eb998d1f433710324d386","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2026-07-29T09:09:13Z","title_canon_sha256":"4b99f55a79809ff5524fed1fac4cb84a2a8af8d41e98e105e43f1b85df82acaf"},"schema_version":"1.0","source":{"id":"2607.26648","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26648","created_at":"2026-07-30T01:21:46Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26648v1","created_at":"2026-07-30T01:21:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26648","created_at":"2026-07-30T01:21:46Z"},{"alias_kind":"pith_short_12","alias_value":"F6NE6VO4ETBW","created_at":"2026-07-30T01:21:46Z"},{"alias_kind":"pith_short_16","alias_value":"F6NE6VO4ETBWDR7L","created_at":"2026-07-30T01:21:46Z"},{"alias_kind":"pith_short_8","alias_value":"F6NE6VO4","created_at":"2026-07-30T01:21:46Z"}],"graph_snapshots":[{"event_id":"sha256:d5f63d106dd9fc15897e6f74eaf510fa8c585d08f242c3b91fbaaa3b15af00aa","target":"graph","created_at":"2026-07-30T01:21:46Z","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/2607.26648/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Spiking neural networks (SNNs) are promoted as an energy-efficient substrate because sparse, event-driven activity replaces dense multiply-accumulates with cheap accumulates. We argue the energy dividend of sparsity is not a property of SNNs but of the task. Holding architecture fixed and swapping only the hidden unit (continuous vs. leaky-integrate-and-fire), plus a two-sided target-firing-rate probe, we measure how far activity can be pushed down before quality breaks. Low-load feed-forward perception sparsifies to 5% firing at no accuracy cost; a recurrent language model cannot go below ~50","authors_text":"Zeyu Wang","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2026-07-29T09:09:13Z","title":"The Sparsity Ceiling: Where Spiking Networks Can and Cannot Trade Activity for Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26648","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":"sha256:90b812f377c331e28933e9ee4a2819a41544b60c03a8f204b49b7e1a9f97e283","target":"record","created_at":"2026-07-30T01:21:46Z","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":"05c2f26df17e408629af67b1ad30cd76b3065d2c654eb998d1f433710324d386","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2026-07-29T09:09:13Z","title_canon_sha256":"4b99f55a79809ff5524fed1fac4cb84a2a8af8d41e98e105e43f1b85df82acaf"},"schema_version":"1.0","source":{"id":"2607.26648","kind":"arxiv","version":1}},"canonical_sha256":"2f9a4f55dc24c361c7eb06f72fed5ebe7a10b3bd92fcf2ab7bddd956c30f6110","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f9a4f55dc24c361c7eb06f72fed5ebe7a10b3bd92fcf2ab7bddd956c30f6110","first_computed_at":"2026-07-30T01:21:46.904380Z","kind":"pith_receipt","last_reissued_at":"2026-07-30T01:21:46.904380Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.26648","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90b812f377c331e28933e9ee4a2819a41544b60c03a8f204b49b7e1a9f97e283","sha256:d5f63d106dd9fc15897e6f74eaf510fa8c585d08f242c3b91fbaaa3b15af00aa"],"state_sha256":"db84a5feec3830cb360fde0ce1f978fbbe2e87437c2c7ee8955802ed6fd94ba9"}