{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:25JY4CXWPO5K7VWZNKFV7GU3TA","short_pith_number":"pith:25JY4CXW","canonical_record":{"source":{"id":"2211.09225","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2022-11-16T21:32:08Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"1713ffb9457efe17ddaf4dd43da802834036aeaff84d2e349bf4e82af975754d","abstract_canon_sha256":"ddb3c0efc5455900edd78b02646c0de0c72ddd257168e9f44b98d274d90c2e38"},"schema_version":"1.0"},"canonical_sha256":"d7538e0af67bbaafd6d96a8b5f9a9b9823c9463699b69f4c708b276609c14ce5","source":{"kind":"arxiv","id":"2211.09225","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.09225","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2211.09225v2","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.09225","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"25JY4CXWPO5K","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"25JY4CXWPO5K7VWZ","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"25JY4CXW","created_at":"2026-07-05T07:46:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:25JY4CXWPO5K7VWZNKFV7GU3TA","target":"record","payload":{"canonical_record":{"source":{"id":"2211.09225","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2022-11-16T21:32:08Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"1713ffb9457efe17ddaf4dd43da802834036aeaff84d2e349bf4e82af975754d","abstract_canon_sha256":"ddb3c0efc5455900edd78b02646c0de0c72ddd257168e9f44b98d274d90c2e38"},"schema_version":"1.0"},"canonical_sha256":"d7538e0af67bbaafd6d96a8b5f9a9b9823c9463699b69f4c708b276609c14ce5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:46:59.785158Z","signature_b64":"uPhmjVzv7sAXFDGucjF+DkoGsnkns7sQDQYo5+MpphneeZ0a3pc5XRgmHu0vMskOqx9ryOQUfsblTYtTwUBpDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7538e0af67bbaafd6d96a8b5f9a9b9823c9463699b69f4c708b276609c14ce5","last_reissued_at":"2026-07-05T07:46:59.784755Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:46:59.784755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.09225","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":"2026-07-05T07:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a16OxdYR2qCnr6sZUKm+uTjR9ITcrdTE11zk6N324wXTXTTrqf9fpEOIK4Zi7WpnhM1UjvNT5IfUgCYYYGWHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T01:54:52.433835Z"},"content_sha256":"63f9372864f0b2174d86164fc93dc656c5b6a4bf45fa4272f85f3c9e719349bc","schema_version":"1.0","event_id":"sha256:63f9372864f0b2174d86164fc93dc656c5b6a4bf45fa4272f85f3c9e719349bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:25JY4CXWPO5K7VWZNKFV7GU3TA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.SG","authors_text":"Ben Wormleighton, Julian Chaidez","submitted_at":"2022-11-16T21:32:08Z","abstract_excerpt":"We develop new methods of both constructing and obstructing symplectic embeddings into non-toric rational surfaces using the theory of Newton-Okoukov bodies. Applications include sharp embedding results for concave toric domains into non-toric rational surfaces, and new cases of non-existence for infinite staircases in the non-toric setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.09225","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.09225/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":"2026-07-05T07:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JV29dahxm6owMhvri41JBry7IvummGkdGd+NfXTSOt2wyeA4EkrRe7Q9A8zF24PY8unxVt5hxP4UTdDbnp/LCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T01:54:52.434394Z"},"content_sha256":"446b0546a217aab222ae415a6d4f2ef663aae64139858dc717d3b16ebadde84b","schema_version":"1.0","event_id":"sha256:446b0546a217aab222ae415a6d4f2ef663aae64139858dc717d3b16ebadde84b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25JY4CXWPO5K7VWZNKFV7GU3TA/bundle.json","state_url":"https://pith.science/pith/25JY4CXWPO5K7VWZNKFV7GU3TA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25JY4CXWPO5K7VWZNKFV7GU3TA/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":"2026-08-21T01:54:52Z","links":{"resolver":"https://pith.science/pith/25JY4CXWPO5K7VWZNKFV7GU3TA","bundle":"https://pith.science/pith/25JY4CXWPO5K7VWZNKFV7GU3TA/bundle.json","state":"https://pith.science/pith/25JY4CXWPO5K7VWZNKFV7GU3TA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25JY4CXWPO5K7VWZNKFV7GU3TA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:25JY4CXWPO5K7VWZNKFV7GU3TA","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":"ddb3c0efc5455900edd78b02646c0de0c72ddd257168e9f44b98d274d90c2e38","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2022-11-16T21:32:08Z","title_canon_sha256":"1713ffb9457efe17ddaf4dd43da802834036aeaff84d2e349bf4e82af975754d"},"schema_version":"1.0","source":{"id":"2211.09225","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.09225","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2211.09225v2","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.09225","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"25JY4CXWPO5K","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"25JY4CXWPO5K7VWZ","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"25JY4CXW","created_at":"2026-07-05T07:46:59Z"}],"graph_snapshots":[{"event_id":"sha256:446b0546a217aab222ae415a6d4f2ef663aae64139858dc717d3b16ebadde84b","target":"graph","created_at":"2026-07-05T07:46:59Z","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/2211.09225/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop new methods of both constructing and obstructing symplectic embeddings into non-toric rational surfaces using the theory of Newton-Okoukov bodies. Applications include sharp embedding results for concave toric domains into non-toric rational surfaces, and new cases of non-existence for infinite staircases in the non-toric setting.","authors_text":"Ben Wormleighton, Julian Chaidez","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2022-11-16T21:32:08Z","title":"Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.09225","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":"sha256:63f9372864f0b2174d86164fc93dc656c5b6a4bf45fa4272f85f3c9e719349bc","target":"record","created_at":"2026-07-05T07:46:59Z","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":"ddb3c0efc5455900edd78b02646c0de0c72ddd257168e9f44b98d274d90c2e38","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2022-11-16T21:32:08Z","title_canon_sha256":"1713ffb9457efe17ddaf4dd43da802834036aeaff84d2e349bf4e82af975754d"},"schema_version":"1.0","source":{"id":"2211.09225","kind":"arxiv","version":2}},"canonical_sha256":"d7538e0af67bbaafd6d96a8b5f9a9b9823c9463699b69f4c708b276609c14ce5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7538e0af67bbaafd6d96a8b5f9a9b9823c9463699b69f4c708b276609c14ce5","first_computed_at":"2026-07-05T07:46:59.784755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:46:59.784755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uPhmjVzv7sAXFDGucjF+DkoGsnkns7sQDQYo5+MpphneeZ0a3pc5XRgmHu0vMskOqx9ryOQUfsblTYtTwUBpDg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:46:59.785158Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.09225","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63f9372864f0b2174d86164fc93dc656c5b6a4bf45fa4272f85f3c9e719349bc","sha256:446b0546a217aab222ae415a6d4f2ef663aae64139858dc717d3b16ebadde84b"],"state_sha256":"9606200b3889fb100d5a6c9082e592aaf8824be8181b5a8310f75fcc440fc05f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qY1NeoKbI96BkKpMThln9ZshNQYLtm+7e8Mm14Ao+CSifq9Zqa2d8Uyp/H306VtkjD/92ba9lwXjJWVtsVM8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T01:54:52.439153Z","bundle_sha256":"f80f6e8fbaf5cb164b89de6ba21dfd210c8fd7fc047449544c00d2c7430fcbb9"}}