{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KY6GKGWTTWYSTK6OGRCVOXFI45","short_pith_number":"pith:KY6GKGWT","canonical_record":{"source":{"id":"1206.4923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-21T16:04:32Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"e35c2176d4194627082e2e0eb1b7639e6f52e4d4b238e095d2ed710a2808dff2","abstract_canon_sha256":"986f533c682392f8bdffd42d6a7102741fe9f0edd672fe3bb9231090229fff01"},"schema_version":"1.0"},"canonical_sha256":"563c651ad39db129abce3445575ca8e75a84182930a07cae8bb4ccab41376db9","source":{"kind":"arxiv","id":"1206.4923","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4923","created_at":"2026-05-18T03:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4923v1","created_at":"2026-05-18T03:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4923","created_at":"2026-05-18T03:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"KY6GKGWTTWYS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KY6GKGWTTWYSTK6O","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KY6GKGWT","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KY6GKGWTTWYSTK6OGRCVOXFI45","target":"record","payload":{"canonical_record":{"source":{"id":"1206.4923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-21T16:04:32Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"e35c2176d4194627082e2e0eb1b7639e6f52e4d4b238e095d2ed710a2808dff2","abstract_canon_sha256":"986f533c682392f8bdffd42d6a7102741fe9f0edd672fe3bb9231090229fff01"},"schema_version":"1.0"},"canonical_sha256":"563c651ad39db129abce3445575ca8e75a84182930a07cae8bb4ccab41376db9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:53.911002Z","signature_b64":"+fhsSFFhy5Xt8BHBErZBeARAhID+WZMMtLnUZ89asxphK7mhj886Q+nXiD3ZuIea964fcpm5prnxHjQmUwnvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"563c651ad39db129abce3445575ca8e75a84182930a07cae8bb4ccab41376db9","last_reissued_at":"2026-05-18T03:52:53.910247Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:53.910247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.4923","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":"2026-05-18T03:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tkCnBkxDh+ot5ymZ8uPdrogbfPgS8TEFFfaNiZH3rHakdC3bKkUi14HecDmmUJ8jUuJ+ExTDMO9CregvBM78Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:54:35.477152Z"},"content_sha256":"4a283fda59cb4e076fb1b0a72e926035de9f97579754498ac452c6d00b2b97c1","schema_version":"1.0","event_id":"sha256:4a283fda59cb4e076fb1b0a72e926035de9f97579754498ac452c6d00b2b97c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KY6GKGWTTWYSTK6OGRCVOXFI45","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CM Stability of Projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Sean Timothy Paul","submitted_at":"2012-06-21T16:04:32Z","abstract_excerpt":"We develop the connection between equivariant completions of algebraic homogeneous spaces of reductive groups and lower bounds for the Mabuchi energy of a polarized manifold over the space of Bergman metrics. We provide a new definition of Tian's CM Polarization and discuss its properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4923","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":"2026-05-18T03:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C99hl5pvG0i7qMmWPYprDNFCPi6MXPj/wu1rL4b3SnPeQnVbIEQkG50W2BnEJkcTKQQIZzOoCqnRk3fCjahgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:54:35.477583Z"},"content_sha256":"38106826dae3eed8248648e50d50483671e17af16f5651ce43cf7c32fed0b36f","schema_version":"1.0","event_id":"sha256:38106826dae3eed8248648e50d50483671e17af16f5651ce43cf7c32fed0b36f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KY6GKGWTTWYSTK6OGRCVOXFI45/bundle.json","state_url":"https://pith.science/pith/KY6GKGWTTWYSTK6OGRCVOXFI45/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KY6GKGWTTWYSTK6OGRCVOXFI45/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":"2026-05-27T00:54:35Z","links":{"resolver":"https://pith.science/pith/KY6GKGWTTWYSTK6OGRCVOXFI45","bundle":"https://pith.science/pith/KY6GKGWTTWYSTK6OGRCVOXFI45/bundle.json","state":"https://pith.science/pith/KY6GKGWTTWYSTK6OGRCVOXFI45/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KY6GKGWTTWYSTK6OGRCVOXFI45/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KY6GKGWTTWYSTK6OGRCVOXFI45","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":"986f533c682392f8bdffd42d6a7102741fe9f0edd672fe3bb9231090229fff01","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-21T16:04:32Z","title_canon_sha256":"e35c2176d4194627082e2e0eb1b7639e6f52e4d4b238e095d2ed710a2808dff2"},"schema_version":"1.0","source":{"id":"1206.4923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4923","created_at":"2026-05-18T03:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4923v1","created_at":"2026-05-18T03:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4923","created_at":"2026-05-18T03:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"KY6GKGWTTWYS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KY6GKGWTTWYSTK6O","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KY6GKGWT","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:38106826dae3eed8248648e50d50483671e17af16f5651ce43cf7c32fed0b36f","target":"graph","created_at":"2026-05-18T03:52:53Z","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 develop the connection between equivariant completions of algebraic homogeneous spaces of reductive groups and lower bounds for the Mabuchi energy of a polarized manifold over the space of Bergman metrics. We provide a new definition of Tian's CM Polarization and discuss its properties.","authors_text":"Sean Timothy Paul","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-21T16:04:32Z","title":"CM Stability of Projective varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4923","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":"sha256:4a283fda59cb4e076fb1b0a72e926035de9f97579754498ac452c6d00b2b97c1","target":"record","created_at":"2026-05-18T03:52:53Z","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":"986f533c682392f8bdffd42d6a7102741fe9f0edd672fe3bb9231090229fff01","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-21T16:04:32Z","title_canon_sha256":"e35c2176d4194627082e2e0eb1b7639e6f52e4d4b238e095d2ed710a2808dff2"},"schema_version":"1.0","source":{"id":"1206.4923","kind":"arxiv","version":1}},"canonical_sha256":"563c651ad39db129abce3445575ca8e75a84182930a07cae8bb4ccab41376db9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"563c651ad39db129abce3445575ca8e75a84182930a07cae8bb4ccab41376db9","first_computed_at":"2026-05-18T03:52:53.910247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:53.910247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+fhsSFFhy5Xt8BHBErZBeARAhID+WZMMtLnUZ89asxphK7mhj886Q+nXiD3ZuIea964fcpm5prnxHjQmUwnvAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:53.911002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.4923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a283fda59cb4e076fb1b0a72e926035de9f97579754498ac452c6d00b2b97c1","sha256:38106826dae3eed8248648e50d50483671e17af16f5651ce43cf7c32fed0b36f"],"state_sha256":"e9fe5b0d1b553093048c6226953894cc52157e2436c09584359646e78cfb6d8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+rv55g/XAjspdjPMvDSXCkA8qDOPUUwmqhFkr5FpQsXBSy5Yn9lRebnLW0u/9ru02F4QAjcmabk49bKtcCD5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:54:35.483927Z","bundle_sha256":"b971773e2b544a6b8b4a52422b9c03c7554ee7de82939b0e72412bb8ee553f84"}}