{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EWZ6C7364JLLRPP6PI2OVHEZR3","short_pith_number":"pith:EWZ6C736","canonical_record":{"source":{"id":"2606.23924","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-22T20:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"cf03a2eacd5512e8f7c398270bd2dc3674bcf82dabf16b11ab4da1e560080704","abstract_canon_sha256":"89bf099f8c18e1fb368b5128d6947d37c83a09a67a1f81909b48964255b9caa3"},"schema_version":"1.0"},"canonical_sha256":"25b3e17f7ee256b8bdfe7a34ea9c998ef83b58e1e1ac115797c3e0adbd8d8c0e","source":{"kind":"arxiv","id":"2606.23924","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.23924","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.23924v1","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23924","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"pith_short_12","alias_value":"EWZ6C7364JLL","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"pith_short_16","alias_value":"EWZ6C7364JLLRPP6","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"pith_short_8","alias_value":"EWZ6C736","created_at":"2026-06-24T00:14:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EWZ6C7364JLLRPP6PI2OVHEZR3","target":"record","payload":{"canonical_record":{"source":{"id":"2606.23924","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-22T20:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"cf03a2eacd5512e8f7c398270bd2dc3674bcf82dabf16b11ab4da1e560080704","abstract_canon_sha256":"89bf099f8c18e1fb368b5128d6947d37c83a09a67a1f81909b48964255b9caa3"},"schema_version":"1.0"},"canonical_sha256":"25b3e17f7ee256b8bdfe7a34ea9c998ef83b58e1e1ac115797c3e0adbd8d8c0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T00:14:30.280335Z","signature_b64":"cLjqI1xD+2jh320rZ1QnLB8t+FJkkZgrC4gruChimnsZOroZFQW2JJN8G+x/tOf0l8N+IBjXxCWyUmzNOgxDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25b3e17f7ee256b8bdfe7a34ea9c998ef83b58e1e1ac115797c3e0adbd8d8c0e","last_reissued_at":"2026-06-24T00:14:30.279961Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T00:14:30.279961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.23924","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":"2026-06-24T00:14:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGnpUmhw96BvYsJN0B7jNds0I+CkNvFmvoxxgB9g9XYd1EcA0NcVbfH61VILmh6FHwuRYWo6EXoACQKfbGuABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:01:19.049971Z"},"content_sha256":"8382b8e64b6d15e5909e8c74d8aaaa273e7b4efd967e713dde68010e6d043d8b","schema_version":"1.0","event_id":"sha256:8382b8e64b6d15e5909e8c74d8aaaa273e7b4efd967e713dde68010e6d043d8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EWZ6C7364JLLRPP6PI2OVHEZR3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Event isotropy in perturbative QCD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Daniele Atzori, Gregory Soyez, Matteo Cacciari, Simone Marzani","submitted_at":"2026-06-22T20:36:04Z","abstract_excerpt":"It has recently been proposed that collider events can be equipped with a metric, the Energy Mover's Distance (EMD), which allows one to rephrase multiple aspects of collider physics in a geometric language. Further, the EMD can be exploited to define new observables. In this context, event isotropy quantifies the resemblance of an event to a uniform energy distribution. We present the first theoretical study of event isotropy within the framework of perturbative QCD. In particular, we first obtain the isotropy distribution in $e^+e^-$ collisions semi-analytically at $O(\\alpha_s)$ (leading-ord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23924","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/2606.23924/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":"2026-06-24T00:14:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5n/ADRLsFZikcnLzk6E06qO36RITtJezPTTdXFgI7Z1e88CchmDqAXiQl29Cxe5OHX6yQP796Uc0zreI4+tBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:01:19.050367Z"},"content_sha256":"dda9c3c17101128ff21b7be2d9d460d7f09a0434bdbbe404528262c98b73cda2","schema_version":"1.0","event_id":"sha256:dda9c3c17101128ff21b7be2d9d460d7f09a0434bdbbe404528262c98b73cda2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EWZ6C7364JLLRPP6PI2OVHEZR3/bundle.json","state_url":"https://pith.science/pith/EWZ6C7364JLLRPP6PI2OVHEZR3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EWZ6C7364JLLRPP6PI2OVHEZR3/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":"2026-06-27T20:01:19Z","links":{"resolver":"https://pith.science/pith/EWZ6C7364JLLRPP6PI2OVHEZR3","bundle":"https://pith.science/pith/EWZ6C7364JLLRPP6PI2OVHEZR3/bundle.json","state":"https://pith.science/pith/EWZ6C7364JLLRPP6PI2OVHEZR3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EWZ6C7364JLLRPP6PI2OVHEZR3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EWZ6C7364JLLRPP6PI2OVHEZR3","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":"89bf099f8c18e1fb368b5128d6947d37c83a09a67a1f81909b48964255b9caa3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-22T20:36:04Z","title_canon_sha256":"cf03a2eacd5512e8f7c398270bd2dc3674bcf82dabf16b11ab4da1e560080704"},"schema_version":"1.0","source":{"id":"2606.23924","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.23924","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.23924v1","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23924","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"pith_short_12","alias_value":"EWZ6C7364JLL","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"pith_short_16","alias_value":"EWZ6C7364JLLRPP6","created_at":"2026-06-24T00:14:30Z"},{"alias_kind":"pith_short_8","alias_value":"EWZ6C736","created_at":"2026-06-24T00:14:30Z"}],"graph_snapshots":[{"event_id":"sha256:dda9c3c17101128ff21b7be2d9d460d7f09a0434bdbbe404528262c98b73cda2","target":"graph","created_at":"2026-06-24T00:14:30Z","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/2606.23924/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It has recently been proposed that collider events can be equipped with a metric, the Energy Mover's Distance (EMD), which allows one to rephrase multiple aspects of collider physics in a geometric language. Further, the EMD can be exploited to define new observables. In this context, event isotropy quantifies the resemblance of an event to a uniform energy distribution. We present the first theoretical study of event isotropy within the framework of perturbative QCD. In particular, we first obtain the isotropy distribution in $e^+e^-$ collisions semi-analytically at $O(\\alpha_s)$ (leading-ord","authors_text":"Daniele Atzori, Gregory Soyez, Matteo Cacciari, Simone Marzani","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-22T20:36:04Z","title":"Event isotropy in perturbative QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23924","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":"sha256:8382b8e64b6d15e5909e8c74d8aaaa273e7b4efd967e713dde68010e6d043d8b","target":"record","created_at":"2026-06-24T00:14:30Z","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":"89bf099f8c18e1fb368b5128d6947d37c83a09a67a1f81909b48964255b9caa3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-22T20:36:04Z","title_canon_sha256":"cf03a2eacd5512e8f7c398270bd2dc3674bcf82dabf16b11ab4da1e560080704"},"schema_version":"1.0","source":{"id":"2606.23924","kind":"arxiv","version":1}},"canonical_sha256":"25b3e17f7ee256b8bdfe7a34ea9c998ef83b58e1e1ac115797c3e0adbd8d8c0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25b3e17f7ee256b8bdfe7a34ea9c998ef83b58e1e1ac115797c3e0adbd8d8c0e","first_computed_at":"2026-06-24T00:14:30.279961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T00:14:30.279961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cLjqI1xD+2jh320rZ1QnLB8t+FJkkZgrC4gruChimnsZOroZFQW2JJN8G+x/tOf0l8N+IBjXxCWyUmzNOgxDCg==","signature_status":"signed_v1","signed_at":"2026-06-24T00:14:30.280335Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.23924","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8382b8e64b6d15e5909e8c74d8aaaa273e7b4efd967e713dde68010e6d043d8b","sha256:dda9c3c17101128ff21b7be2d9d460d7f09a0434bdbbe404528262c98b73cda2"],"state_sha256":"2343b035d45acb806d7fc7e82e13d8fe2caa1e04581b955e0739cf7ac746b61d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f00iwBdNBDxAYTMQ14lJUSYS9JNfGjo3JU9j0Xnn/eJ5fMBIc0sX5u5xn4YiWBrEahuQvIA4WecfwY+5fCgaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T20:01:19.052779Z","bundle_sha256":"19e8d2dba4c8b6c157e243a1ea24b4c2e322afde675dd586f7dab33636d0e29e"}}