{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3KCWHJD2W57VZE7RFRH4MCGFPO","short_pith_number":"pith:3KCWHJD2","canonical_record":{"source":{"id":"1403.2080","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-03-09T17:13:41Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c3c60ffbf25b74967b2f04389e17f8f4d4a5e9f8edd9e6daeac316968d126f08","abstract_canon_sha256":"6353fc30e099fdf47d636f5d0346533c3611dba76379a380b2e6a815635ffd0e"},"schema_version":"1.0"},"canonical_sha256":"da8563a47ab77f5c93f12c4fc608c57b8d2f162a8bb6e0c1a388927ed21362da","source":{"kind":"arxiv","id":"1403.2080","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2080","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2080v3","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2080","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"3KCWHJD2W57V","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3KCWHJD2W57VZE7R","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3KCWHJD2","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3KCWHJD2W57VZE7RFRH4MCGFPO","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2080","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-03-09T17:13:41Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c3c60ffbf25b74967b2f04389e17f8f4d4a5e9f8edd9e6daeac316968d126f08","abstract_canon_sha256":"6353fc30e099fdf47d636f5d0346533c3611dba76379a380b2e6a815635ffd0e"},"schema_version":"1.0"},"canonical_sha256":"da8563a47ab77f5c93f12c4fc608c57b8d2f162a8bb6e0c1a388927ed21362da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:22.610217Z","signature_b64":"EmHyqxRFpp4iSPcP6YJY3sWGXcb8t28N+h0v3u/8cREPVsFr2JZd10ZI5rNVDvHCAFfjOeLQuMrpD3tp0+jwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da8563a47ab77f5c93f12c4fc608c57b8d2f162a8bb6e0c1a388927ed21362da","last_reissued_at":"2026-05-18T02:46:22.609755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:22.609755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2080","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:46:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2a+rPtN89dk9Iu18ksjHNKG41M4FqWqnopnMbmib3XHdPin2dvACFOFG7oEBi3IUF4zMBkiVqT8JSgaFLNY2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:57:31.386385Z"},"content_sha256":"e206808bb7e629649f2eb602c3f40a5c2379672791627b7c2179a5f084a71e3e","schema_version":"1.0","event_id":"sha256:e206808bb7e629649f2eb602c3f40a5c2379672791627b7c2179a5f084a71e3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3KCWHJD2W57VZE7RFRH4MCGFPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Soccer-Ball Problem","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"gr-qc","authors_text":"Sabine Hossenfelder","submitted_at":"2014-03-09T17:13:41Z","abstract_excerpt":"The idea that Lorentz-symmetry in momentum space could be modified but still remain observer-independent has received quite some attention in the recent years. This modified Lorentz-symmetry, which has been argued to arise in Loop Quantum Gravity, is being used as a phenomenological model to test possibly observable effects of quantum gravity. The most pressing problem in these models is the treatment of multi-particle states, known as the 'soccer-ball problem'. This article briefly reviews the problem and the status of existing solution attempts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2080","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T02:46:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jRKULwoJLHDWxMkO+9hA9uToT65Uo8t6UhMJhE8zwudz5ThvNX6FwPyBXRX8oTMg8PRtxXJcFq9anGGt415pAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:57:31.387082Z"},"content_sha256":"c2882bad526b7e0697de661b2a531bde9b6e09b0507f05d4840fae7495517c99","schema_version":"1.0","event_id":"sha256:c2882bad526b7e0697de661b2a531bde9b6e09b0507f05d4840fae7495517c99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KCWHJD2W57VZE7RFRH4MCGFPO/bundle.json","state_url":"https://pith.science/pith/3KCWHJD2W57VZE7RFRH4MCGFPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KCWHJD2W57VZE7RFRH4MCGFPO/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":"2026-05-25T16:57:31Z","links":{"resolver":"https://pith.science/pith/3KCWHJD2W57VZE7RFRH4MCGFPO","bundle":"https://pith.science/pith/3KCWHJD2W57VZE7RFRH4MCGFPO/bundle.json","state":"https://pith.science/pith/3KCWHJD2W57VZE7RFRH4MCGFPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KCWHJD2W57VZE7RFRH4MCGFPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3KCWHJD2W57VZE7RFRH4MCGFPO","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":"6353fc30e099fdf47d636f5d0346533c3611dba76379a380b2e6a815635ffd0e","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-03-09T17:13:41Z","title_canon_sha256":"c3c60ffbf25b74967b2f04389e17f8f4d4a5e9f8edd9e6daeac316968d126f08"},"schema_version":"1.0","source":{"id":"1403.2080","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2080","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2080v3","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2080","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"3KCWHJD2W57V","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3KCWHJD2W57VZE7R","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3KCWHJD2","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:c2882bad526b7e0697de661b2a531bde9b6e09b0507f05d4840fae7495517c99","target":"graph","created_at":"2026-05-18T02:46:22Z","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":"The idea that Lorentz-symmetry in momentum space could be modified but still remain observer-independent has received quite some attention in the recent years. This modified Lorentz-symmetry, which has been argued to arise in Loop Quantum Gravity, is being used as a phenomenological model to test possibly observable effects of quantum gravity. The most pressing problem in these models is the treatment of multi-particle states, known as the 'soccer-ball problem'. This article briefly reviews the problem and the status of existing solution attempts.","authors_text":"Sabine Hossenfelder","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-03-09T17:13:41Z","title":"The Soccer-Ball Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2080","kind":"arxiv","version":3},"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:e206808bb7e629649f2eb602c3f40a5c2379672791627b7c2179a5f084a71e3e","target":"record","created_at":"2026-05-18T02:46:22Z","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":"6353fc30e099fdf47d636f5d0346533c3611dba76379a380b2e6a815635ffd0e","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-03-09T17:13:41Z","title_canon_sha256":"c3c60ffbf25b74967b2f04389e17f8f4d4a5e9f8edd9e6daeac316968d126f08"},"schema_version":"1.0","source":{"id":"1403.2080","kind":"arxiv","version":3}},"canonical_sha256":"da8563a47ab77f5c93f12c4fc608c57b8d2f162a8bb6e0c1a388927ed21362da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da8563a47ab77f5c93f12c4fc608c57b8d2f162a8bb6e0c1a388927ed21362da","first_computed_at":"2026-05-18T02:46:22.609755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:22.609755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EmHyqxRFpp4iSPcP6YJY3sWGXcb8t28N+h0v3u/8cREPVsFr2JZd10ZI5rNVDvHCAFfjOeLQuMrpD3tp0+jwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:22.610217Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2080","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e206808bb7e629649f2eb602c3f40a5c2379672791627b7c2179a5f084a71e3e","sha256:c2882bad526b7e0697de661b2a531bde9b6e09b0507f05d4840fae7495517c99"],"state_sha256":"72858f555869d0535818ccc8defc5b008a160d804914a061568cc711f262b733"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u3K8VJd/3lNKgF2PcT6Qguq3UmwP7aDgj7D4RUvroqQIWghn6/bxGWfXau47PpfFH+VW2KTgdM+hMHPrlteyDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:57:31.391125Z","bundle_sha256":"59141dd4404e898a39bf440266f33f2729f63812d9ade6f981ec4769aa66b843"}}