{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NJAYYHNEN7JBRBPCHAQGK4T4DK","short_pith_number":"pith:NJAYYHNE","canonical_record":{"source":{"id":"2608.03604","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.CB","submitted_at":"2026-08-04T12:56:54Z","cross_cats_sorted":["math.DS","q-bio.QM"],"title_canon_sha256":"25983a31f605de6158bc834cca1a6f2675bd752b8a2d1cb44bd113ebbcba2af8","abstract_canon_sha256":"6845882457c6f004bd4684c6e7c5affbe29b201c6b7098cdd3fb8bd298d71840"},"schema_version":"1.0"},"canonical_sha256":"6a418c1da46fd21885e2382065727c1aa41e833a478dd3fe91d19a0d81cb65b0","source":{"kind":"arxiv","id":"2608.03604","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.03604","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"arxiv_version","alias_value":"2608.03604v1","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03604","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"pith_short_12","alias_value":"NJAYYHNEN7JB","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"pith_short_16","alias_value":"NJAYYHNEN7JBRBPC","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"pith_short_8","alias_value":"NJAYYHNE","created_at":"2026-08-05T01:36:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NJAYYHNEN7JBRBPCHAQGK4T4DK","target":"record","payload":{"canonical_record":{"source":{"id":"2608.03604","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.CB","submitted_at":"2026-08-04T12:56:54Z","cross_cats_sorted":["math.DS","q-bio.QM"],"title_canon_sha256":"25983a31f605de6158bc834cca1a6f2675bd752b8a2d1cb44bd113ebbcba2af8","abstract_canon_sha256":"6845882457c6f004bd4684c6e7c5affbe29b201c6b7098cdd3fb8bd298d71840"},"schema_version":"1.0"},"canonical_sha256":"6a418c1da46fd21885e2382065727c1aa41e833a478dd3fe91d19a0d81cb65b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-05T01:36:44.801724Z","signature_b64":"C3fVWzfAT5JSpSD4yvsdJOe2EIZjxIvJvvXJbLKAoxUizklAIQweA9dmkdrrmezc7S8nWKu1/DRNmn+Nx39QCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a418c1da46fd21885e2382065727c1aa41e833a478dd3fe91d19a0d81cb65b0","last_reissued_at":"2026-08-05T01:36:44.800362Z","signature_status":"signed_v1","first_computed_at":"2026-08-05T01:36:44.800362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.03604","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-05T01:36:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uLS1Qg9VAiN9yXoxQRyOF1MrihzIKDjb9FeuuumIf/qGIQ0W3SnWWPt4h2tCJhCBeMHEUS6S84UPG7kMjOyGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:33:48.458790Z"},"content_sha256":"889a393e98072d96351e120cf0b0e13aeb21f562aa0143cc04c71a2c3e907cc6","schema_version":"1.0","event_id":"sha256:889a393e98072d96351e120cf0b0e13aeb21f562aa0143cc04c71a2c3e907cc6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NJAYYHNEN7JBRBPCHAQGK4T4DK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Population Structures with Positive Feedback and Asymmetric Division","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS","q-bio.QM"],"primary_cat":"q-bio.CB","authors_text":"Brynley Needham, Camden Kilton, Gabriel Dooley, Graham Walther, Todd R. Young","submitted_at":"2026-08-04T12:56:54Z","abstract_excerpt":"In bioreactor experiments, budding yeast can manifest stable metabolic oscillations. In some instances these oscillations involve the cell cycle and are associated with a dynamical phenomenon called temporal clustering. Since yeast divide asymmetrically, mother cells may be able to divide sooner than the smaller daughter cells. We show that asymmetric division plus positive feedback can result in stable temporal clustering. In this scenario, the cells self-organize into $p$ clusters of mother cells and $q$ clusters of daughter cells, $p \\le q$. In simple numerical simulations of a population m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03604","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.03604/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-05T01:36:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kVqPZ7M+8AHRR3N9ArcSZNOd9qlpCxI0Q/TeliMO9DuvY9yHw31CFuQNeDDf/wj+QEhH1+1Q5qbp3iIlq6dECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:33:48.459728Z"},"content_sha256":"b9f28c0c3bd05b84b846f982f7aa4e07e28600564c0859e266b8fc8e8dc08da3","schema_version":"1.0","event_id":"sha256:b9f28c0c3bd05b84b846f982f7aa4e07e28600564c0859e266b8fc8e8dc08da3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NJAYYHNEN7JBRBPCHAQGK4T4DK/bundle.json","state_url":"https://pith.science/pith/NJAYYHNEN7JBRBPCHAQGK4T4DK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NJAYYHNEN7JBRBPCHAQGK4T4DK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-06T13:33:48Z","links":{"resolver":"https://pith.science/pith/NJAYYHNEN7JBRBPCHAQGK4T4DK","bundle":"https://pith.science/pith/NJAYYHNEN7JBRBPCHAQGK4T4DK/bundle.json","state":"https://pith.science/pith/NJAYYHNEN7JBRBPCHAQGK4T4DK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NJAYYHNEN7JBRBPCHAQGK4T4DK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NJAYYHNEN7JBRBPCHAQGK4T4DK","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":"6845882457c6f004bd4684c6e7c5affbe29b201c6b7098cdd3fb8bd298d71840","cross_cats_sorted":["math.DS","q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.CB","submitted_at":"2026-08-04T12:56:54Z","title_canon_sha256":"25983a31f605de6158bc834cca1a6f2675bd752b8a2d1cb44bd113ebbcba2af8"},"schema_version":"1.0","source":{"id":"2608.03604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.03604","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"arxiv_version","alias_value":"2608.03604v1","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03604","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"pith_short_12","alias_value":"NJAYYHNEN7JB","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"pith_short_16","alias_value":"NJAYYHNEN7JBRBPC","created_at":"2026-08-05T01:36:44Z"},{"alias_kind":"pith_short_8","alias_value":"NJAYYHNE","created_at":"2026-08-05T01:36:44Z"}],"graph_snapshots":[{"event_id":"sha256:b9f28c0c3bd05b84b846f982f7aa4e07e28600564c0859e266b8fc8e8dc08da3","target":"graph","created_at":"2026-08-05T01:36:44Z","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/2608.03604/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In bioreactor experiments, budding yeast can manifest stable metabolic oscillations. In some instances these oscillations involve the cell cycle and are associated with a dynamical phenomenon called temporal clustering. Since yeast divide asymmetrically, mother cells may be able to divide sooner than the smaller daughter cells. We show that asymmetric division plus positive feedback can result in stable temporal clustering. In this scenario, the cells self-organize into $p$ clusters of mother cells and $q$ clusters of daughter cells, $p \\le q$. In simple numerical simulations of a population m","authors_text":"Brynley Needham, Camden Kilton, Gabriel Dooley, Graham Walther, Todd R. Young","cross_cats":["math.DS","q-bio.QM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.CB","submitted_at":"2026-08-04T12:56:54Z","title":"Population Structures with Positive Feedback and Asymmetric Division"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03604","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":"sha256:889a393e98072d96351e120cf0b0e13aeb21f562aa0143cc04c71a2c3e907cc6","target":"record","created_at":"2026-08-05T01:36:44Z","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":"6845882457c6f004bd4684c6e7c5affbe29b201c6b7098cdd3fb8bd298d71840","cross_cats_sorted":["math.DS","q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.CB","submitted_at":"2026-08-04T12:56:54Z","title_canon_sha256":"25983a31f605de6158bc834cca1a6f2675bd752b8a2d1cb44bd113ebbcba2af8"},"schema_version":"1.0","source":{"id":"2608.03604","kind":"arxiv","version":1}},"canonical_sha256":"6a418c1da46fd21885e2382065727c1aa41e833a478dd3fe91d19a0d81cb65b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a418c1da46fd21885e2382065727c1aa41e833a478dd3fe91d19a0d81cb65b0","first_computed_at":"2026-08-05T01:36:44.800362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-05T01:36:44.800362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C3fVWzfAT5JSpSD4yvsdJOe2EIZjxIvJvvXJbLKAoxUizklAIQweA9dmkdrrmezc7S8nWKu1/DRNmn+Nx39QCw==","signature_status":"signed_v1","signed_at":"2026-08-05T01:36:44.801724Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.03604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:889a393e98072d96351e120cf0b0e13aeb21f562aa0143cc04c71a2c3e907cc6","sha256:b9f28c0c3bd05b84b846f982f7aa4e07e28600564c0859e266b8fc8e8dc08da3"],"state_sha256":"4c92062b8d3b916a8d9951b803aa13d5c67f8cde1828437d92ca3940375d8bb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2CLw+ZUq3voN5V22XcBVwiiNIlNuPO8fuWNObQ+50RbYPfMEjVQQztzZxOdZzLRnudkAYgQ3zg60dxghH/cAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T13:33:48.466438Z","bundle_sha256":"27cd40104084a26e72714cfdcc8f6f0e92ac598da44031808781092ab3c25f42"}}