{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CBUA5R7SK74N3GBVTE3SONYHHQ","short_pith_number":"pith:CBUA5R7S","canonical_record":{"source":{"id":"1210.6071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-22T21:16:23Z","cross_cats_sorted":[],"title_canon_sha256":"1311b01c0e754388d16e2f9a85fd4f1b3da3d0cc7aafa6f9f79c7e1098087a69","abstract_canon_sha256":"35936629fb230eb8a6312a87fa2940242d2710f2cd06f118486f870b43c03873"},"schema_version":"1.0"},"canonical_sha256":"10680ec7f257f8dd983599372737073c1ba2b66a2d3d61d3f4f8d66805eedab7","source":{"kind":"arxiv","id":"1210.6071","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6071","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6071v2","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6071","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"CBUA5R7SK74N","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CBUA5R7SK74N3GBV","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CBUA5R7S","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CBUA5R7SK74N3GBVTE3SONYHHQ","target":"record","payload":{"canonical_record":{"source":{"id":"1210.6071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-22T21:16:23Z","cross_cats_sorted":[],"title_canon_sha256":"1311b01c0e754388d16e2f9a85fd4f1b3da3d0cc7aafa6f9f79c7e1098087a69","abstract_canon_sha256":"35936629fb230eb8a6312a87fa2940242d2710f2cd06f118486f870b43c03873"},"schema_version":"1.0"},"canonical_sha256":"10680ec7f257f8dd983599372737073c1ba2b66a2d3d61d3f4f8d66805eedab7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:02.425990Z","signature_b64":"JZQbOtkCIvWL98kFiw574plovEwwOQsVhhwVyAAjgV4E/7mubL4n5SrzOqT8qkoP20JAVYMJB7EisyDNqz8zDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10680ec7f257f8dd983599372737073c1ba2b66a2d3d61d3f4f8d66805eedab7","last_reissued_at":"2026-05-18T03:30:02.425212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:02.425212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.6071","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":"2026-05-18T03:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xf+LGjv/WcFI9MY6IrC8alMma49FkFV9YE6JBcIBbScPG13ro7B3zeI/nuaDZ5uIydkX8Q/BvMOkNMA0zWO5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T06:29:46.097671Z"},"content_sha256":"c90e21be5552d17e4247458256d77e9ae7bf7c277a3aea954b0e780bf3ca075f","schema_version":"1.0","event_id":"sha256:c90e21be5552d17e4247458256d77e9ae7bf7c277a3aea954b0e780bf3ca075f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CBUA5R7SK74N3GBVTE3SONYHHQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Life and Work of S. Helgason","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"G. Olafsson, R. J. Stanton","submitted_at":"2012-10-22T21:16:23Z","abstract_excerpt":"This article is a contribution to a Festschrift for S. Helgason. After a biographical sketch, we survey some of his research on several topics in geometric and harmonic analysis during his long and influential career. While not an exhaustive presentation of all facets of his research, for those topics covered we include reference to the current status of these areas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6071","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":""},"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":"2026-05-18T03:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"moq+wzMy2O6jLDCllEXIvpTczaixOK3JEBoXC/OGZnPdSRfc4rTjZ8iKURP6x15MQSPvBrbhHh+XkY330yE0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T06:29:46.098018Z"},"content_sha256":"78a2cf41551f20fb56a4c3c7ae98cdc35160ebdcebc1b53c84fef508e845b057","schema_version":"1.0","event_id":"sha256:78a2cf41551f20fb56a4c3c7ae98cdc35160ebdcebc1b53c84fef508e845b057"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CBUA5R7SK74N3GBVTE3SONYHHQ/bundle.json","state_url":"https://pith.science/pith/CBUA5R7SK74N3GBVTE3SONYHHQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CBUA5R7SK74N3GBVTE3SONYHHQ/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":"2026-07-02T06:29:46Z","links":{"resolver":"https://pith.science/pith/CBUA5R7SK74N3GBVTE3SONYHHQ","bundle":"https://pith.science/pith/CBUA5R7SK74N3GBVTE3SONYHHQ/bundle.json","state":"https://pith.science/pith/CBUA5R7SK74N3GBVTE3SONYHHQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CBUA5R7SK74N3GBVTE3SONYHHQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CBUA5R7SK74N3GBVTE3SONYHHQ","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":"35936629fb230eb8a6312a87fa2940242d2710f2cd06f118486f870b43c03873","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-22T21:16:23Z","title_canon_sha256":"1311b01c0e754388d16e2f9a85fd4f1b3da3d0cc7aafa6f9f79c7e1098087a69"},"schema_version":"1.0","source":{"id":"1210.6071","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6071","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6071v2","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6071","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"CBUA5R7SK74N","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CBUA5R7SK74N3GBV","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CBUA5R7S","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:78a2cf41551f20fb56a4c3c7ae98cdc35160ebdcebc1b53c84fef508e845b057","target":"graph","created_at":"2026-05-18T03:30:02Z","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":"This article is a contribution to a Festschrift for S. Helgason. After a biographical sketch, we survey some of his research on several topics in geometric and harmonic analysis during his long and influential career. While not an exhaustive presentation of all facets of his research, for those topics covered we include reference to the current status of these areas.","authors_text":"G. Olafsson, R. J. Stanton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-22T21:16:23Z","title":"On the Life and Work of S. Helgason"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6071","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:c90e21be5552d17e4247458256d77e9ae7bf7c277a3aea954b0e780bf3ca075f","target":"record","created_at":"2026-05-18T03:30:02Z","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":"35936629fb230eb8a6312a87fa2940242d2710f2cd06f118486f870b43c03873","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-22T21:16:23Z","title_canon_sha256":"1311b01c0e754388d16e2f9a85fd4f1b3da3d0cc7aafa6f9f79c7e1098087a69"},"schema_version":"1.0","source":{"id":"1210.6071","kind":"arxiv","version":2}},"canonical_sha256":"10680ec7f257f8dd983599372737073c1ba2b66a2d3d61d3f4f8d66805eedab7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10680ec7f257f8dd983599372737073c1ba2b66a2d3d61d3f4f8d66805eedab7","first_computed_at":"2026-05-18T03:30:02.425212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:02.425212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JZQbOtkCIvWL98kFiw574plovEwwOQsVhhwVyAAjgV4E/7mubL4n5SrzOqT8qkoP20JAVYMJB7EisyDNqz8zDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:02.425990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6071","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c90e21be5552d17e4247458256d77e9ae7bf7c277a3aea954b0e780bf3ca075f","sha256:78a2cf41551f20fb56a4c3c7ae98cdc35160ebdcebc1b53c84fef508e845b057"],"state_sha256":"fd30a8f8653f4b4100cfe12a10b23192d72b973390f399fb6948da909436eb78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gt1CzgiTN8GG18NRvzQNlwFdesh4ctWutAiRsvpTnWMeuaaAhmUUNYjDX2rG7Jtc6mtWChNDCH8i3budLO8YBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T06:29:46.099935Z","bundle_sha256":"9f79c5723a204e01fe485965fd40d64fd911acec9f1dea93d9c1311138a1d82e"}}