{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:4MG7L4DDXD5ACX5OZELBT7ZNRA","short_pith_number":"pith:4MG7L4DD","canonical_record":{"source":{"id":"2411.17298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T10:46:57Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"3976c34ec6a352dda82f58fd318fd7bb73c4db1f19b11f3678d56be2ed63173e","abstract_canon_sha256":"b4fce88071a80ab0e83aa7930219ab87eb8ccdbd780f1b7665e938f135044632"},"schema_version":"1.0"},"canonical_sha256":"e30df5f063b8fa015faec91619ff2d8805bb91a22f4cbbbd385e2ae03645b24c","source":{"kind":"arxiv","id":"2411.17298","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17298","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17298v1","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17298","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"pith_short_12","alias_value":"4MG7L4DDXD5A","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"pith_short_16","alias_value":"4MG7L4DDXD5ACX5O","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"pith_short_8","alias_value":"4MG7L4DD","created_at":"2026-07-05T09:40:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:4MG7L4DDXD5ACX5OZELBT7ZNRA","target":"record","payload":{"canonical_record":{"source":{"id":"2411.17298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T10:46:57Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"3976c34ec6a352dda82f58fd318fd7bb73c4db1f19b11f3678d56be2ed63173e","abstract_canon_sha256":"b4fce88071a80ab0e83aa7930219ab87eb8ccdbd780f1b7665e938f135044632"},"schema_version":"1.0"},"canonical_sha256":"e30df5f063b8fa015faec91619ff2d8805bb91a22f4cbbbd385e2ae03645b24c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:40:30.170375Z","signature_b64":"+/2Lqu8ffV2ja0IG5yoRKRtC1HtH1TdUcgAjdoW2sNKrYB66AoXWVLkhu62UNI6Y4M3sIwSE1uQmFQY6+iqYDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e30df5f063b8fa015faec91619ff2d8805bb91a22f4cbbbd385e2ae03645b24c","last_reissued_at":"2026-07-05T09:40:30.169875Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:40:30.169875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.17298","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":"2026-07-05T09:40:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hYqh+3wUCbzk+z9rN8p0F0PvlIGfDafKxYHeJRxylvr77gTCgBmz1bfWNPIeyUMnv4FmqlBSrMcrzrAwL68AAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T18:45:49.735208Z"},"content_sha256":"b51ee9fa8a53d02522448d148514c1dbabc05ac25778261ee6fcb19c6f0ef8ac","schema_version":"1.0","event_id":"sha256:b51ee9fa8a53d02522448d148514c1dbabc05ac25778261ee6fcb19c6f0ef8ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:4MG7L4DDXD5ACX5OZELBT7ZNRA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized $q$-dimensions of measures on nonautonomous fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Jun Jie Miao, Yifei Gu","submitted_at":"2024-11-26T10:46:57Z","abstract_excerpt":"In the paper, we study the generalized $q$-dimensions of measures supported by nonautonomous attractors, which are the generalization of classic Moran sets and attractors of iterated function systems.\n  First, we estimate the generalized $q$-dimensions of measures supported on nonautonomous attractors, and we provide dimension formulas for generalized $q$-dimensions of measures supported on nonautonomous similar attractor under certain separation conditions. Next, we investigate the generalized $q$-dimensions of measures supported on nonautonomous affine sets and obtain the upper bounds. Final"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17298","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/2411.17298/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":"2026-07-05T09:40:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bOWSUSBsBXCkqiaUxDeylRsMT3/9SLw31BHejznYoPZvIGShNy0pArOOpfFZHvJQ6eQ7aX/shp2VL+ZJkYyMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T18:45:49.736491Z"},"content_sha256":"4de4694fd0e2c53d5cfe48b6484d3ab0154ac83c76e48bdc5e4c94505be68d24","schema_version":"1.0","event_id":"sha256:4de4694fd0e2c53d5cfe48b6484d3ab0154ac83c76e48bdc5e4c94505be68d24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4MG7L4DDXD5ACX5OZELBT7ZNRA/bundle.json","state_url":"https://pith.science/pith/4MG7L4DDXD5ACX5OZELBT7ZNRA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4MG7L4DDXD5ACX5OZELBT7ZNRA/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":"2026-08-14T18:45:49Z","links":{"resolver":"https://pith.science/pith/4MG7L4DDXD5ACX5OZELBT7ZNRA","bundle":"https://pith.science/pith/4MG7L4DDXD5ACX5OZELBT7ZNRA/bundle.json","state":"https://pith.science/pith/4MG7L4DDXD5ACX5OZELBT7ZNRA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4MG7L4DDXD5ACX5OZELBT7ZNRA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4MG7L4DDXD5ACX5OZELBT7ZNRA","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":"b4fce88071a80ab0e83aa7930219ab87eb8ccdbd780f1b7665e938f135044632","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T10:46:57Z","title_canon_sha256":"3976c34ec6a352dda82f58fd318fd7bb73c4db1f19b11f3678d56be2ed63173e"},"schema_version":"1.0","source":{"id":"2411.17298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17298","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17298v1","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17298","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"pith_short_12","alias_value":"4MG7L4DDXD5A","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"pith_short_16","alias_value":"4MG7L4DDXD5ACX5O","created_at":"2026-07-05T09:40:30Z"},{"alias_kind":"pith_short_8","alias_value":"4MG7L4DD","created_at":"2026-07-05T09:40:30Z"}],"graph_snapshots":[{"event_id":"sha256:4de4694fd0e2c53d5cfe48b6484d3ab0154ac83c76e48bdc5e4c94505be68d24","target":"graph","created_at":"2026-07-05T09:40:30Z","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/2411.17298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the paper, we study the generalized $q$-dimensions of measures supported by nonautonomous attractors, which are the generalization of classic Moran sets and attractors of iterated function systems.\n  First, we estimate the generalized $q$-dimensions of measures supported on nonautonomous attractors, and we provide dimension formulas for generalized $q$-dimensions of measures supported on nonautonomous similar attractor under certain separation conditions. Next, we investigate the generalized $q$-dimensions of measures supported on nonautonomous affine sets and obtain the upper bounds. Final","authors_text":"Jun Jie Miao, Yifei Gu","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T10:46:57Z","title":"Generalized $q$-dimensions of measures on nonautonomous fractals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17298","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:b51ee9fa8a53d02522448d148514c1dbabc05ac25778261ee6fcb19c6f0ef8ac","target":"record","created_at":"2026-07-05T09:40:30Z","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":"b4fce88071a80ab0e83aa7930219ab87eb8ccdbd780f1b7665e938f135044632","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-26T10:46:57Z","title_canon_sha256":"3976c34ec6a352dda82f58fd318fd7bb73c4db1f19b11f3678d56be2ed63173e"},"schema_version":"1.0","source":{"id":"2411.17298","kind":"arxiv","version":1}},"canonical_sha256":"e30df5f063b8fa015faec91619ff2d8805bb91a22f4cbbbd385e2ae03645b24c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e30df5f063b8fa015faec91619ff2d8805bb91a22f4cbbbd385e2ae03645b24c","first_computed_at":"2026-07-05T09:40:30.169875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:40:30.169875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+/2Lqu8ffV2ja0IG5yoRKRtC1HtH1TdUcgAjdoW2sNKrYB66AoXWVLkhu62UNI6Y4M3sIwSE1uQmFQY6+iqYDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:40:30.170375Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b51ee9fa8a53d02522448d148514c1dbabc05ac25778261ee6fcb19c6f0ef8ac","sha256:4de4694fd0e2c53d5cfe48b6484d3ab0154ac83c76e48bdc5e4c94505be68d24"],"state_sha256":"a7e7f180a0df6f305c52b5fc45534d02c052fbf9864d72539b00f8c48fa2a6f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M4bbsTHQNxZyaVq8cKL0j9mnTv3QQOnF6/EQAsn9aK3L0FLDgW7OTXOsOgXVzCqO0DFvGxhj0oeqtQ5rcna1BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T18:45:49.744788Z","bundle_sha256":"7b11d1debdc2fe4657d2b11c6a9bcfb5f53fff49ce8a966281983c2e39578d69"}}