{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:47DXPOAEPOVMFFBFDCZNQCVUGS","short_pith_number":"pith:47DXPOAE","canonical_record":{"source":{"id":"1608.06279","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-08-21T10:00:59Z","cross_cats_sorted":[],"title_canon_sha256":"797b89537c2b2b75641f1ddcc99cf1d19ecacde12fa09f950357003713b23656","abstract_canon_sha256":"aecec60f74ed22098d778836d126b28954972cfb7cb96cc571ad5cb6f047f904"},"schema_version":"1.0"},"canonical_sha256":"e7c777b8047baac2942518b2d80ab434af0aae5b5eb960f9cdae24c440347e5a","source":{"kind":"arxiv","id":"1608.06279","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.06279","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"arxiv_version","alias_value":"1608.06279v2","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06279","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"pith_short_12","alias_value":"47DXPOAEPOVM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"47DXPOAEPOVMFFBF","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"47DXPOAE","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:47DXPOAEPOVMFFBFDCZNQCVUGS","target":"record","payload":{"canonical_record":{"source":{"id":"1608.06279","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-08-21T10:00:59Z","cross_cats_sorted":[],"title_canon_sha256":"797b89537c2b2b75641f1ddcc99cf1d19ecacde12fa09f950357003713b23656","abstract_canon_sha256":"aecec60f74ed22098d778836d126b28954972cfb7cb96cc571ad5cb6f047f904"},"schema_version":"1.0"},"canonical_sha256":"e7c777b8047baac2942518b2d80ab434af0aae5b5eb960f9cdae24c440347e5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:28.431934Z","signature_b64":"R7ST/ScGK+NuzTkfl3k4zrH34mNRa6l8i+eY4jPgxYEzkZjYQ30oMRBpeyTE3sFL82J2gy4w2Z/CPL/tloksCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7c777b8047baac2942518b2d80ab434af0aae5b5eb960f9cdae24c440347e5a","last_reissued_at":"2026-05-18T00:27:28.431262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:28.431262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.06279","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MgvZqgkd/E77LEpwsh6etmOQOWPnbhRoeft95wrdFyzeCxjTvmGMAGX3s0s7c6toHjEHUwwPPgbbtoLayqL2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:49:51.583046Z"},"content_sha256":"7d224f84209cc4bdd9d1e435883240b51e814e5bab67229012081bc2141b88a8","schema_version":"1.0","event_id":"sha256:7d224f84209cc4bdd9d1e435883240b51e814e5bab67229012081bc2141b88a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:47DXPOAEPOVMFFBFDCZNQCVUGS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A tight estimate for the waist of the ball","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Arseniy Akopyan, Roman Karasev","submitted_at":"2016-08-21T10:00:59Z","abstract_excerpt":"We answer a question of M. Gromov on the waist of the unit ball."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06279","kind":"arxiv","version":2},"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":"2026-05-18T00:27:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPH/HplAjNWEKlvon2xrIsSOq5+3Jhh3OFLmN7cY6Bd0eTn+LlWq/mHVZ3mPP5SCPES7hNZBQPk6TJDexwSDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:49:51.583680Z"},"content_sha256":"572481bcf6e651d41c1af08c66aeea523290e1596f0ca3bfd10a9c4a63f17a76","schema_version":"1.0","event_id":"sha256:572481bcf6e651d41c1af08c66aeea523290e1596f0ca3bfd10a9c4a63f17a76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/47DXPOAEPOVMFFBFDCZNQCVUGS/bundle.json","state_url":"https://pith.science/pith/47DXPOAEPOVMFFBFDCZNQCVUGS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/47DXPOAEPOVMFFBFDCZNQCVUGS/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":"2026-05-22T09:49:51Z","links":{"resolver":"https://pith.science/pith/47DXPOAEPOVMFFBFDCZNQCVUGS","bundle":"https://pith.science/pith/47DXPOAEPOVMFFBFDCZNQCVUGS/bundle.json","state":"https://pith.science/pith/47DXPOAEPOVMFFBFDCZNQCVUGS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/47DXPOAEPOVMFFBFDCZNQCVUGS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:47DXPOAEPOVMFFBFDCZNQCVUGS","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":"aecec60f74ed22098d778836d126b28954972cfb7cb96cc571ad5cb6f047f904","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-08-21T10:00:59Z","title_canon_sha256":"797b89537c2b2b75641f1ddcc99cf1d19ecacde12fa09f950357003713b23656"},"schema_version":"1.0","source":{"id":"1608.06279","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.06279","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"arxiv_version","alias_value":"1608.06279v2","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06279","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"pith_short_12","alias_value":"47DXPOAEPOVM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"47DXPOAEPOVMFFBF","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"47DXPOAE","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:572481bcf6e651d41c1af08c66aeea523290e1596f0ca3bfd10a9c4a63f17a76","target":"graph","created_at":"2026-05-18T00:27:28Z","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 answer a question of M. Gromov on the waist of the unit ball.","authors_text":"Arseniy Akopyan, Roman Karasev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-08-21T10:00:59Z","title":"A tight estimate for the waist of the ball"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06279","kind":"arxiv","version":2},"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":"sha256:7d224f84209cc4bdd9d1e435883240b51e814e5bab67229012081bc2141b88a8","target":"record","created_at":"2026-05-18T00:27:28Z","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":"aecec60f74ed22098d778836d126b28954972cfb7cb96cc571ad5cb6f047f904","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-08-21T10:00:59Z","title_canon_sha256":"797b89537c2b2b75641f1ddcc99cf1d19ecacde12fa09f950357003713b23656"},"schema_version":"1.0","source":{"id":"1608.06279","kind":"arxiv","version":2}},"canonical_sha256":"e7c777b8047baac2942518b2d80ab434af0aae5b5eb960f9cdae24c440347e5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7c777b8047baac2942518b2d80ab434af0aae5b5eb960f9cdae24c440347e5a","first_computed_at":"2026-05-18T00:27:28.431262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:28.431262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R7ST/ScGK+NuzTkfl3k4zrH34mNRa6l8i+eY4jPgxYEzkZjYQ30oMRBpeyTE3sFL82J2gy4w2Z/CPL/tloksCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:28.431934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.06279","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d224f84209cc4bdd9d1e435883240b51e814e5bab67229012081bc2141b88a8","sha256:572481bcf6e651d41c1af08c66aeea523290e1596f0ca3bfd10a9c4a63f17a76"],"state_sha256":"725f75cdffe0dea386bc512c641194561aefa1c07fb578339e99824c92ae0ccb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n1qVX/wq5ujEwE8WBRW4IwpWZrdHb0I9GpoXsWMPpK6feyQHFiVyt57pLHOEztUm3pqjAfmCaniWI8ABSTauBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T09:49:51.587849Z","bundle_sha256":"ad1b4372ae87486fd9390d15309d664f5a1f28fe82d34d927e1b669c8675bfab"}}