{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:R3AQ3BMC5WWNYQ7JCKULVXSA33","short_pith_number":"pith:R3AQ3BMC","canonical_record":{"source":{"id":"1408.6144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-26T15:08:11Z","cross_cats_sorted":["math.AG","math.DG"],"title_canon_sha256":"381b6dab1c326d6e6214f13dd16af2ff634358944a142a6bd95681525560415e","abstract_canon_sha256":"87e5135dd2768beb211fbcfa4d2b14a31d4c922204ef301cc2810b1fb4979964"},"schema_version":"1.0"},"canonical_sha256":"8ec10d8582edacdc43e912a8bade40dedde867118be6ac8783d98a5603370c18","source":{"kind":"arxiv","id":"1408.6144","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6144","created_at":"2026-05-18T02:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6144v1","created_at":"2026-05-18T02:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6144","created_at":"2026-05-18T02:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"R3AQ3BMC5WWN","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R3AQ3BMC5WWNYQ7J","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R3AQ3BMC","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:R3AQ3BMC5WWNYQ7JCKULVXSA33","target":"record","payload":{"canonical_record":{"source":{"id":"1408.6144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-26T15:08:11Z","cross_cats_sorted":["math.AG","math.DG"],"title_canon_sha256":"381b6dab1c326d6e6214f13dd16af2ff634358944a142a6bd95681525560415e","abstract_canon_sha256":"87e5135dd2768beb211fbcfa4d2b14a31d4c922204ef301cc2810b1fb4979964"},"schema_version":"1.0"},"canonical_sha256":"8ec10d8582edacdc43e912a8bade40dedde867118be6ac8783d98a5603370c18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:09.304054Z","signature_b64":"b0kejTE5ggGwDqTlzA9hXnT2sMoNawQivR4bF/aN8Iw3+QMm829ut5vlrW+jfP7ZT0/C0N4TnQq0fxqBBt7WBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ec10d8582edacdc43e912a8bade40dedde867118be6ac8783d98a5603370c18","last_reissued_at":"2026-05-18T02:44:09.303655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:09.303655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.6144","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":"2026-05-18T02:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UiML4rrzs8h4k4Enne467gFXxfzpYsOzT2o2S/fa5k1pdTiKnbA65o2xeinQ5LnsmQ9pOywghHdVuWaPRkTRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:53:27.433377Z"},"content_sha256":"5a3a93b5811f4203f5d481182c5b750f2aaa28bbe7eda693ae15b9b4074f9a02","schema_version":"1.0","event_id":"sha256:5a3a93b5811f4203f5d481182c5b750f2aaa28bbe7eda693ae15b9b4074f9a02"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:R3AQ3BMC5WWNYQ7JCKULVXSA33","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weighted interpolation from certain singular affine hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"math.CV","authors_text":"Vamsi Pingali","submitted_at":"2014-08-26T15:08:11Z","abstract_excerpt":"We prove that square integrable holomorphic functions (with respect to a plurisubharmonic weight) can be extended in a square integrable manner from certain singular hypersurfaces (which include uniformly flat, normal crossing divisors) to entire functions in affine space. This provides evidence for a conjecture regarding the positivity of the curvature of the weight under consideration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6144","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":"2026-05-18T02:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYCTxBbbOP89NB5q5BheGYR+AXn98C1UrQ6QOhzz+Z7UMkg/f9ZZDfWVKoJ+4BErRguJSc/tGJIPxHvzF2mdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:53:27.433717Z"},"content_sha256":"d870daabcde3ea510f6e9c84320d4c83af84bd9663d754fa782511dea9b6eb81","schema_version":"1.0","event_id":"sha256:d870daabcde3ea510f6e9c84320d4c83af84bd9663d754fa782511dea9b6eb81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R3AQ3BMC5WWNYQ7JCKULVXSA33/bundle.json","state_url":"https://pith.science/pith/R3AQ3BMC5WWNYQ7JCKULVXSA33/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R3AQ3BMC5WWNYQ7JCKULVXSA33/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":"2026-06-03T17:53:27Z","links":{"resolver":"https://pith.science/pith/R3AQ3BMC5WWNYQ7JCKULVXSA33","bundle":"https://pith.science/pith/R3AQ3BMC5WWNYQ7JCKULVXSA33/bundle.json","state":"https://pith.science/pith/R3AQ3BMC5WWNYQ7JCKULVXSA33/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R3AQ3BMC5WWNYQ7JCKULVXSA33/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:R3AQ3BMC5WWNYQ7JCKULVXSA33","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":"87e5135dd2768beb211fbcfa4d2b14a31d4c922204ef301cc2810b1fb4979964","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-26T15:08:11Z","title_canon_sha256":"381b6dab1c326d6e6214f13dd16af2ff634358944a142a6bd95681525560415e"},"schema_version":"1.0","source":{"id":"1408.6144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6144","created_at":"2026-05-18T02:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6144v1","created_at":"2026-05-18T02:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6144","created_at":"2026-05-18T02:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"R3AQ3BMC5WWN","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R3AQ3BMC5WWNYQ7J","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R3AQ3BMC","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:d870daabcde3ea510f6e9c84320d4c83af84bd9663d754fa782511dea9b6eb81","target":"graph","created_at":"2026-05-18T02:44:09Z","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 prove that square integrable holomorphic functions (with respect to a plurisubharmonic weight) can be extended in a square integrable manner from certain singular hypersurfaces (which include uniformly flat, normal crossing divisors) to entire functions in affine space. This provides evidence for a conjecture regarding the positivity of the curvature of the weight under consideration.","authors_text":"Vamsi Pingali","cross_cats":["math.AG","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-26T15:08:11Z","title":"Weighted interpolation from certain singular affine hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6144","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":"sha256:5a3a93b5811f4203f5d481182c5b750f2aaa28bbe7eda693ae15b9b4074f9a02","target":"record","created_at":"2026-05-18T02:44:09Z","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":"87e5135dd2768beb211fbcfa4d2b14a31d4c922204ef301cc2810b1fb4979964","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-26T15:08:11Z","title_canon_sha256":"381b6dab1c326d6e6214f13dd16af2ff634358944a142a6bd95681525560415e"},"schema_version":"1.0","source":{"id":"1408.6144","kind":"arxiv","version":1}},"canonical_sha256":"8ec10d8582edacdc43e912a8bade40dedde867118be6ac8783d98a5603370c18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ec10d8582edacdc43e912a8bade40dedde867118be6ac8783d98a5603370c18","first_computed_at":"2026-05-18T02:44:09.303655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:09.303655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b0kejTE5ggGwDqTlzA9hXnT2sMoNawQivR4bF/aN8Iw3+QMm829ut5vlrW+jfP7ZT0/C0N4TnQq0fxqBBt7WBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:09.304054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a3a93b5811f4203f5d481182c5b750f2aaa28bbe7eda693ae15b9b4074f9a02","sha256:d870daabcde3ea510f6e9c84320d4c83af84bd9663d754fa782511dea9b6eb81"],"state_sha256":"551595614948136f42937a90c960d0d6dee992d8a13ecc0ab1f4b261f17f4aa9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PjBSEWoJEzVqfC2W+yBsiDrjYXHEqvv9wlblucJ/TLv1cS3TcFgt0W6+Z9iuTa3uZb8UM4r7ne30ycWEdh5BCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:53:27.435665Z","bundle_sha256":"23e9a280b9d77d6520c8dddcb079431016511057f16503d983062da7b9d068c3"}}