{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7LCMUAGWOZIBB3VP37RBSH22AV","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":"ec76e46373fdda5d3cc05e44c0a01c24bba5aa85c1314088661afd825d27da54","cross_cats_sorted":["hep-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-18T18:00:00Z","title_canon_sha256":"d1fad0081cf33e0f502b9c3a64ad6660b0c5ecd8787b78d9818b1f1bae2f7555"},"schema_version":"1.0","source":{"id":"1704.05456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05456","created_at":"2026-05-18T00:38:55Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05456v1","created_at":"2026-05-18T00:38:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05456","created_at":"2026-05-18T00:38:55Z"},{"alias_kind":"pith_short_12","alias_value":"7LCMUAGWOZIB","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7LCMUAGWOZIBB3VP","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7LCMUAGW","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:c804e606c448d0e7fceec78e2a91e8ec980e0dc9c6d3dfcf1f19391624d559a7","target":"graph","created_at":"2026-05-18T00:38:55Z","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"},"paper":{"abstract_excerpt":"We introduce a broad class of fractal jet observables that recursively probe the collective properties of hadrons produced in jet fragmentation. To describe these collinear-unsafe observables, we generalize the formalism of fragmentation functions, which are important objects in QCD for calculating cross sections involving identified final-state hadrons. Fragmentation functions are fundamentally nonperturbative, but have a calculable renormalization group evolution. Unlike ordinary fragmentation functions, generalized fragmentation functions exhibit nonlinear evolution, since fractal observabl","authors_text":"Benjamin T. Elder, Jesse Thaler, Kevin Zhou, Massimiliano Procura, Wouter J. Waalewijn","cross_cats":["hep-ex"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-18T18:00:00Z","title":"Generalized Fragmentation Functions for Fractal Jet Observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05456","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:fb04356b6fd6a043db541764317422bc871a79e549d0979dfcc70bd433ef2515","target":"record","created_at":"2026-05-18T00:38:55Z","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":"ec76e46373fdda5d3cc05e44c0a01c24bba5aa85c1314088661afd825d27da54","cross_cats_sorted":["hep-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-18T18:00:00Z","title_canon_sha256":"d1fad0081cf33e0f502b9c3a64ad6660b0c5ecd8787b78d9818b1f1bae2f7555"},"schema_version":"1.0","source":{"id":"1704.05456","kind":"arxiv","version":1}},"canonical_sha256":"fac4ca00d6765010eeafdfe2191f5a057dee52b634af6cc524176f1c2e08f543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fac4ca00d6765010eeafdfe2191f5a057dee52b634af6cc524176f1c2e08f543","first_computed_at":"2026-05-18T00:38:55.402129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:55.402129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vR85WaOONBEvDZdHvTY0L9QnAl+hWRBAirzzlxV460Yl2JfN+SLK1Q49Pyu8MIQPomkSRH+f7JxdlZD/g6XcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:55.402605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb04356b6fd6a043db541764317422bc871a79e549d0979dfcc70bd433ef2515","sha256:c804e606c448d0e7fceec78e2a91e8ec980e0dc9c6d3dfcf1f19391624d559a7"],"state_sha256":"7c5a861e85f9aff0585f64cffb7bcf800aef879f5f853d91ec924304e63ab698"}