{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AASBW7JG2CD3OWTD326MXXD3AQ","short_pith_number":"pith:AASBW7JG","canonical_record":{"source":{"id":"1806.11247","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-29T02:05:18Z","cross_cats_sorted":[],"title_canon_sha256":"8e4f5a66177af39ac6ac1e4cdf5aaeb25f672c1fb9ef54238d8f97a095968427","abstract_canon_sha256":"528a76c4730ba97beaf00e851a197e0da577173e70209d6cb162c97a85ea5a9f"},"schema_version":"1.0"},"canonical_sha256":"00241b7d26d087b75a63debccbdc7b04117a0bff15edcbc57111ae41acf76490","source":{"kind":"arxiv","id":"1806.11247","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.11247","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1806.11247v2","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.11247","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"AASBW7JG2CD3","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"pith_short_16","alias_value":"AASBW7JG2CD3OWTD","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"pith_short_8","alias_value":"AASBW7JG","created_at":"2026-07-05T03:35:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AASBW7JG2CD3OWTD326MXXD3AQ","target":"record","payload":{"canonical_record":{"source":{"id":"1806.11247","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-29T02:05:18Z","cross_cats_sorted":[],"title_canon_sha256":"8e4f5a66177af39ac6ac1e4cdf5aaeb25f672c1fb9ef54238d8f97a095968427","abstract_canon_sha256":"528a76c4730ba97beaf00e851a197e0da577173e70209d6cb162c97a85ea5a9f"},"schema_version":"1.0"},"canonical_sha256":"00241b7d26d087b75a63debccbdc7b04117a0bff15edcbc57111ae41acf76490","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:35:56.828019Z","signature_b64":"v6B6gf1LMET4eKBacYTP0lvO8uGuuesb2m0yODj9ipXqb7nr+hyLu5/t3Co0HA5KneoTrh4HDdeAEIBa0Ql4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00241b7d26d087b75a63debccbdc7b04117a0bff15edcbc57111ae41acf76490","last_reissued_at":"2026-07-05T03:35:56.827629Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:35:56.827629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.11247","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":"2026-07-05T03:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TU5I8V0K2a1cetuYya0L4OFMkNiNJtH+wOaro2HHGsRHyIKREvKCFe8Q0vmMmzdVucSSR9r8B09KlG1OjJAaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:12:01.323385Z"},"content_sha256":"6767283f0761e378476400bce3a54bad9cae478ed4ce67c03e9c64087f1ed05f","schema_version":"1.0","event_id":"sha256:6767283f0761e378476400bce3a54bad9cae478ed4ce67c03e9c64087f1ed05f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AASBW7JG2CD3OWTD326MXXD3AQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic tangent cones of admissible Hermitian-Yang-Mills connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Song Sun, Xuemiao Chen","submitted_at":"2018-06-29T02:05:18Z","abstract_excerpt":"In this paper we study the analytic tangent cones of admissible Hermitian-Yang-Mills connections near a homogeneous singularity of a reflexive sheaf, and relate it to the Harder-Narasimhan-Seshadri filtration. We also give an algebro-geometric characterization of the bubbling set. This strengthens our previous result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.11247","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/1806.11247/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":"2026-07-05T03:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hrRNCPg7hGzt6EQXYhz4PVwhcWNvbaNbQdQ+S4DuqQLHxlAVaVDjnltxmL+ptiVmGCsdvX75fCVZ9jUFbq9aAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:12:01.323756Z"},"content_sha256":"30efd8ddf5d7ff9f6bdaffe44e86f8b98e4525330b4fea7de44495b6f3a516b1","schema_version":"1.0","event_id":"sha256:30efd8ddf5d7ff9f6bdaffe44e86f8b98e4525330b4fea7de44495b6f3a516b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AASBW7JG2CD3OWTD326MXXD3AQ/bundle.json","state_url":"https://pith.science/pith/AASBW7JG2CD3OWTD326MXXD3AQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AASBW7JG2CD3OWTD326MXXD3AQ/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":"2026-07-07T12:12:01Z","links":{"resolver":"https://pith.science/pith/AASBW7JG2CD3OWTD326MXXD3AQ","bundle":"https://pith.science/pith/AASBW7JG2CD3OWTD326MXXD3AQ/bundle.json","state":"https://pith.science/pith/AASBW7JG2CD3OWTD326MXXD3AQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AASBW7JG2CD3OWTD326MXXD3AQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AASBW7JG2CD3OWTD326MXXD3AQ","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":"528a76c4730ba97beaf00e851a197e0da577173e70209d6cb162c97a85ea5a9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-29T02:05:18Z","title_canon_sha256":"8e4f5a66177af39ac6ac1e4cdf5aaeb25f672c1fb9ef54238d8f97a095968427"},"schema_version":"1.0","source":{"id":"1806.11247","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.11247","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1806.11247v2","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.11247","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"AASBW7JG2CD3","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"pith_short_16","alias_value":"AASBW7JG2CD3OWTD","created_at":"2026-07-05T03:35:56Z"},{"alias_kind":"pith_short_8","alias_value":"AASBW7JG","created_at":"2026-07-05T03:35:56Z"}],"graph_snapshots":[{"event_id":"sha256:30efd8ddf5d7ff9f6bdaffe44e86f8b98e4525330b4fea7de44495b6f3a516b1","target":"graph","created_at":"2026-07-05T03:35:56Z","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/1806.11247/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we study the analytic tangent cones of admissible Hermitian-Yang-Mills connections near a homogeneous singularity of a reflexive sheaf, and relate it to the Harder-Narasimhan-Seshadri filtration. We also give an algebro-geometric characterization of the bubbling set. This strengthens our previous result.","authors_text":"Song Sun, Xuemiao Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-29T02:05:18Z","title":"Analytic tangent cones of admissible Hermitian-Yang-Mills connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.11247","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":"sha256:6767283f0761e378476400bce3a54bad9cae478ed4ce67c03e9c64087f1ed05f","target":"record","created_at":"2026-07-05T03:35:56Z","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":"528a76c4730ba97beaf00e851a197e0da577173e70209d6cb162c97a85ea5a9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-06-29T02:05:18Z","title_canon_sha256":"8e4f5a66177af39ac6ac1e4cdf5aaeb25f672c1fb9ef54238d8f97a095968427"},"schema_version":"1.0","source":{"id":"1806.11247","kind":"arxiv","version":2}},"canonical_sha256":"00241b7d26d087b75a63debccbdc7b04117a0bff15edcbc57111ae41acf76490","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00241b7d26d087b75a63debccbdc7b04117a0bff15edcbc57111ae41acf76490","first_computed_at":"2026-07-05T03:35:56.827629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:35:56.827629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v6B6gf1LMET4eKBacYTP0lvO8uGuuesb2m0yODj9ipXqb7nr+hyLu5/t3Co0HA5KneoTrh4HDdeAEIBa0Ql4CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:35:56.828019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.11247","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6767283f0761e378476400bce3a54bad9cae478ed4ce67c03e9c64087f1ed05f","sha256:30efd8ddf5d7ff9f6bdaffe44e86f8b98e4525330b4fea7de44495b6f3a516b1"],"state_sha256":"9e77f0c4fc08a8cb3b3de41ecc447f87572c0eb510f69f6abeeb805f701b3a17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bJZw4ObgMh2omYPOs0nH/QqByQdN2/7vl2xup4baj/984MQvyqC0+6BTWQZjGOYyTtJzo1cfkzBedDUPdMATBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:12:01.325792Z","bundle_sha256":"48746c430afa31314e1149b3329485a233c718df60b255ab4f8aa1f31d253987"}}