{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7HWWZHJLL36BII4CZGX73PJWMT","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":"ee099dd8a3375550567478abfc18d5f75dc20fb88a1608a0ef0fe426489c91a2","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2026-07-30T22:19:32Z","title_canon_sha256":"c46d5994794db1504205eefb7f3d0f91c9aeceb2d3e696a2fc0a6b015aa5dfa2"},"schema_version":"1.0","source":{"id":"2607.28867","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.28867","created_at":"2026-08-03T01:17:14Z"},{"alias_kind":"arxiv_version","alias_value":"2607.28867v1","created_at":"2026-08-03T01:17:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.28867","created_at":"2026-08-03T01:17:14Z"},{"alias_kind":"pith_short_12","alias_value":"7HWWZHJLL36B","created_at":"2026-08-03T01:17:14Z"},{"alias_kind":"pith_short_16","alias_value":"7HWWZHJLL36BII4C","created_at":"2026-08-03T01:17:14Z"},{"alias_kind":"pith_short_8","alias_value":"7HWWZHJL","created_at":"2026-08-03T01:17:14Z"}],"graph_snapshots":[{"event_id":"sha256:4505e158f83fdb7837069963cfb8906d10324ef364077be6832f9cbf1d0ebb77","target":"graph","created_at":"2026-08-03T01:17:14Z","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/2607.28867/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A population of oscillators typically synchronizes because coupling pulls their phases together. Here we consider malthusian oscillators whose coupling is demographic: oscillators are born and die at rates determined by their phases, generating an effective coupling without any phase velocity interaction. We find this coupling can synchronize a population, select a collective frequency, and produce a nongeneric fourth-root onset of coherence. These collective dynamics admit an exact reduction: a population with $m$ frequency classes reduces to $3m$ ordinary differential equations. This is the ","authors_text":"K. P. O'Keeffe","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2026-07-30T22:19:32Z","title":"Synchrony by Birth and Death"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.28867","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:eb2c6c2be39ae0e1420a77a8a96399d9fa000fffafdd374e9922394285fc8e4b","target":"record","created_at":"2026-08-03T01:17:14Z","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":"ee099dd8a3375550567478abfc18d5f75dc20fb88a1608a0ef0fe426489c91a2","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2026-07-30T22:19:32Z","title_canon_sha256":"c46d5994794db1504205eefb7f3d0f91c9aeceb2d3e696a2fc0a6b015aa5dfa2"},"schema_version":"1.0","source":{"id":"2607.28867","kind":"arxiv","version":1}},"canonical_sha256":"f9ed6c9d2b5efc142382c9affdbd3664d8d78deec10fd1b27defe7276340d54a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9ed6c9d2b5efc142382c9affdbd3664d8d78deec10fd1b27defe7276340d54a","first_computed_at":"2026-08-03T01:17:14.512268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:17:14.512268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1u97lb4ugJkJx8yPSNUR15u1AlujSDvUXxGnZaBnVEaGHT6KUBAkhB27w2Qy7zMg9Vvp/us+4tPuA5dcqGFxAQ==","signature_status":"signed_v1","signed_at":"2026-08-03T01:17:14.513732Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.28867","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb2c6c2be39ae0e1420a77a8a96399d9fa000fffafdd374e9922394285fc8e4b","sha256:4505e158f83fdb7837069963cfb8906d10324ef364077be6832f9cbf1d0ebb77"],"state_sha256":"8641c1b0c0adaf54898e698af9ebdc5322966a7c66bf6e36f014660eda14d17f"}