{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XHHNVKNWJMQOYLW76APNNOHQ2K","short_pith_number":"pith:XHHNVKNW","canonical_record":{"source":{"id":"1508.02862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-08-12T09:34:03Z","cross_cats_sorted":[],"title_canon_sha256":"c4597821403d2aeb59577b46e1762c6abb405ca9df9b3a0f6c33c800ef8927c7","abstract_canon_sha256":"5688f12868aa5fc25c21ef3115aed1d5b860ea85749286b9b668e0251e2adf68"},"schema_version":"1.0"},"canonical_sha256":"b9cedaa9b64b20ec2edff01ed6b8f0d29174f7fc9ed675609b6008445db7347a","source":{"kind":"arxiv","id":"1508.02862","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02862","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02862v1","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02862","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"pith_short_12","alias_value":"XHHNVKNWJMQO","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XHHNVKNWJMQOYLW7","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XHHNVKNW","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XHHNVKNWJMQOYLW76APNNOHQ2K","target":"record","payload":{"canonical_record":{"source":{"id":"1508.02862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-08-12T09:34:03Z","cross_cats_sorted":[],"title_canon_sha256":"c4597821403d2aeb59577b46e1762c6abb405ca9df9b3a0f6c33c800ef8927c7","abstract_canon_sha256":"5688f12868aa5fc25c21ef3115aed1d5b860ea85749286b9b668e0251e2adf68"},"schema_version":"1.0"},"canonical_sha256":"b9cedaa9b64b20ec2edff01ed6b8f0d29174f7fc9ed675609b6008445db7347a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:47.369562Z","signature_b64":"pV8Rdyrhu7yw9VO4FRcq6REzDOPPteEs7vVNda60NCUlQHaWPJCdOj8LLJ/QwbwqcS524lPl0vh4t+ayDByZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9cedaa9b64b20ec2edff01ed6b8f0d29174f7fc9ed675609b6008445db7347a","last_reissued_at":"2026-05-18T00:27:47.369023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:47.369023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.02862","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":"2026-05-18T00:27:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IW4krLJGBkNfudeJQruHHSlPde5iV/kyPKqL1pJeK3sITd5dxRcsm+EHJNhS3+YpUprAssfVgLeXulyNgzCYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:51:29.166980Z"},"content_sha256":"39d5a6306358fbd9dc7c8cc5ab54728d4cf36677fb111ade00e322899dc1d509","schema_version":"1.0","event_id":"sha256:39d5a6306358fbd9dc7c8cc5ab54728d4cf36677fb111ade00e322899dc1d509"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XHHNVKNWJMQOYLW76APNNOHQ2K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Gromov width of homogeneous Kaehler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Andrea Loi, Fabio Zuddas","submitted_at":"2015-08-12T09:34:03Z","abstract_excerpt":"We compute the Gromov width of homogeneous Kaehler manifolds with second Betti number equal to one. Our result is based on the recent preprint [4] and on the upper bound of the Gromov width for such manifolds obtained in [6]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02862","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":""},"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":"2026-05-18T00:27:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b7ICtW30SOjarTN+/CiDtV9eEsVan30CQcKhWW0s34g9ESKrQuEqCf+ek+SfEmNtcXWwNnYYSQWa3+ORPZmQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:51:29.167361Z"},"content_sha256":"07b7eb8b9818e9f45296ea1b8f714a5e2dc6496450668515a8a2c92597b9595f","schema_version":"1.0","event_id":"sha256:07b7eb8b9818e9f45296ea1b8f714a5e2dc6496450668515a8a2c92597b9595f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XHHNVKNWJMQOYLW76APNNOHQ2K/bundle.json","state_url":"https://pith.science/pith/XHHNVKNWJMQOYLW76APNNOHQ2K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XHHNVKNWJMQOYLW76APNNOHQ2K/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":"2026-06-20T23:51:29Z","links":{"resolver":"https://pith.science/pith/XHHNVKNWJMQOYLW76APNNOHQ2K","bundle":"https://pith.science/pith/XHHNVKNWJMQOYLW76APNNOHQ2K/bundle.json","state":"https://pith.science/pith/XHHNVKNWJMQOYLW76APNNOHQ2K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XHHNVKNWJMQOYLW76APNNOHQ2K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XHHNVKNWJMQOYLW76APNNOHQ2K","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":"5688f12868aa5fc25c21ef3115aed1d5b860ea85749286b9b668e0251e2adf68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-08-12T09:34:03Z","title_canon_sha256":"c4597821403d2aeb59577b46e1762c6abb405ca9df9b3a0f6c33c800ef8927c7"},"schema_version":"1.0","source":{"id":"1508.02862","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02862","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02862v1","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02862","created_at":"2026-05-18T00:27:47Z"},{"alias_kind":"pith_short_12","alias_value":"XHHNVKNWJMQO","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XHHNVKNWJMQOYLW7","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XHHNVKNW","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:07b7eb8b9818e9f45296ea1b8f714a5e2dc6496450668515a8a2c92597b9595f","target":"graph","created_at":"2026-05-18T00:27:47Z","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 compute the Gromov width of homogeneous Kaehler manifolds with second Betti number equal to one. Our result is based on the recent preprint [4] and on the upper bound of the Gromov width for such manifolds obtained in [6].","authors_text":"Andrea Loi, Fabio Zuddas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-08-12T09:34:03Z","title":"On the Gromov width of homogeneous Kaehler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02862","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":"sha256:39d5a6306358fbd9dc7c8cc5ab54728d4cf36677fb111ade00e322899dc1d509","target":"record","created_at":"2026-05-18T00:27:47Z","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":"5688f12868aa5fc25c21ef3115aed1d5b860ea85749286b9b668e0251e2adf68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-08-12T09:34:03Z","title_canon_sha256":"c4597821403d2aeb59577b46e1762c6abb405ca9df9b3a0f6c33c800ef8927c7"},"schema_version":"1.0","source":{"id":"1508.02862","kind":"arxiv","version":1}},"canonical_sha256":"b9cedaa9b64b20ec2edff01ed6b8f0d29174f7fc9ed675609b6008445db7347a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9cedaa9b64b20ec2edff01ed6b8f0d29174f7fc9ed675609b6008445db7347a","first_computed_at":"2026-05-18T00:27:47.369023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:47.369023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pV8Rdyrhu7yw9VO4FRcq6REzDOPPteEs7vVNda60NCUlQHaWPJCdOj8LLJ/QwbwqcS524lPl0vh4t+ayDByZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:47.369562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02862","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39d5a6306358fbd9dc7c8cc5ab54728d4cf36677fb111ade00e322899dc1d509","sha256:07b7eb8b9818e9f45296ea1b8f714a5e2dc6496450668515a8a2c92597b9595f"],"state_sha256":"cfe0b244891e09da4dc2bec2ffb417256f191ca57bed397610d570efbbdca10d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMZ1k+n/hRdNNMwzl7RTdVOTgsugXhyZvMVDDFFCpZe4W98zU3GZ6/0j01yjoNLBD5XINnivNKHDlo4Dxwc4Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:51:29.169388Z","bundle_sha256":"b1d75a0d51599b8acc1979a3b4507ca57f8154c3719cd7f9e5b2176d39101832"}}