{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:GJY2BFHANMXIW5OOJFJNRPIGXS","short_pith_number":"pith:GJY2BFHA","canonical_record":{"source":{"id":"1008.4010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-24T11:04:19Z","cross_cats_sorted":[],"title_canon_sha256":"5ec828d982e4541655dd4c0ff2ffa91492f2c7ad851fd744057061763442edbe","abstract_canon_sha256":"f5469fa3e046e26382c6da98d0ae22a358ab83659fe63b9891f6089854bdedd4"},"schema_version":"1.0"},"canonical_sha256":"3271a094e06b2e8b75ce4952d8bd06bcaa7ab01ff28bf82de07f89dbaa9783af","source":{"kind":"arxiv","id":"1008.4010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4010","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4010v1","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4010","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"pith_short_12","alias_value":"GJY2BFHANMXI","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GJY2BFHANMXIW5OO","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GJY2BFHA","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:GJY2BFHANMXIW5OOJFJNRPIGXS","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-24T11:04:19Z","cross_cats_sorted":[],"title_canon_sha256":"5ec828d982e4541655dd4c0ff2ffa91492f2c7ad851fd744057061763442edbe","abstract_canon_sha256":"f5469fa3e046e26382c6da98d0ae22a358ab83659fe63b9891f6089854bdedd4"},"schema_version":"1.0"},"canonical_sha256":"3271a094e06b2e8b75ce4952d8bd06bcaa7ab01ff28bf82de07f89dbaa9783af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:43.397201Z","signature_b64":"WCTnRpe8NKBz6MTgWYodqxRm54mtSmsUgqPBLy+b60i5BL/Al0vDiMyT/HcM0TlJ8KwTSHRI/sj4O/ATOUKUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3271a094e06b2e8b75ce4952d8bd06bcaa7ab01ff28bf82de07f89dbaa9783af","last_reissued_at":"2026-05-18T02:05:43.396698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:43.396698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4010","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":"2026-05-18T02:05:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"69bIHR118jheQMNoGv3vHqElPm1dDcFHGrOjCKYX/uk3C2gztctEG2asgfntqv5iSkvw5DGH6KyqK+CyFqYbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T16:56:32.693178Z"},"content_sha256":"7e65aeb90e056c5863dad1d51b70efe9a89407dd783073f3722485bfce156212","schema_version":"1.0","event_id":"sha256:7e65aeb90e056c5863dad1d51b70efe9a89407dd783073f3722485bfce156212"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:GJY2BFHANMXIW5OOJFJNRPIGXS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exhausting domains of the symmetrized bidisc","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Peter Pflug, Wlodzimierz Zwonek","submitted_at":"2010-08-24T11:04:19Z","abstract_excerpt":"We show that the symmetrized bidisc may be exhausted by strongly linearly convex domains. It shows in particular the existence of a strongly linearly convex domain that cannot be exhausted by domains biholomorphic to convex ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4010","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":"2026-05-18T02:05:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NTgkrbWrhQBoEDCsyct5jZQ2D0fioHV7ieqCNB+rPKQnCrkI+UeobYVmRx94/zxgVYce0O9Ly1/AvzOiVJB5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T16:56:32.693905Z"},"content_sha256":"1075177b9e5c643c63757f44c18cf6ee5d9651a04c80abc9874bfc35c7acdd1a","schema_version":"1.0","event_id":"sha256:1075177b9e5c643c63757f44c18cf6ee5d9651a04c80abc9874bfc35c7acdd1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJY2BFHANMXIW5OOJFJNRPIGXS/bundle.json","state_url":"https://pith.science/pith/GJY2BFHANMXIW5OOJFJNRPIGXS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJY2BFHANMXIW5OOJFJNRPIGXS/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":"2026-06-11T16:56:32Z","links":{"resolver":"https://pith.science/pith/GJY2BFHANMXIW5OOJFJNRPIGXS","bundle":"https://pith.science/pith/GJY2BFHANMXIW5OOJFJNRPIGXS/bundle.json","state":"https://pith.science/pith/GJY2BFHANMXIW5OOJFJNRPIGXS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJY2BFHANMXIW5OOJFJNRPIGXS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GJY2BFHANMXIW5OOJFJNRPIGXS","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":"f5469fa3e046e26382c6da98d0ae22a358ab83659fe63b9891f6089854bdedd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-24T11:04:19Z","title_canon_sha256":"5ec828d982e4541655dd4c0ff2ffa91492f2c7ad851fd744057061763442edbe"},"schema_version":"1.0","source":{"id":"1008.4010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4010","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4010v1","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4010","created_at":"2026-05-18T02:05:43Z"},{"alias_kind":"pith_short_12","alias_value":"GJY2BFHANMXI","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GJY2BFHANMXIW5OO","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GJY2BFHA","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:1075177b9e5c643c63757f44c18cf6ee5d9651a04c80abc9874bfc35c7acdd1a","target":"graph","created_at":"2026-05-18T02:05:43Z","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 show that the symmetrized bidisc may be exhausted by strongly linearly convex domains. It shows in particular the existence of a strongly linearly convex domain that cannot be exhausted by domains biholomorphic to convex ones.","authors_text":"Peter Pflug, Wlodzimierz Zwonek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-24T11:04:19Z","title":"Exhausting domains of the symmetrized bidisc"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4010","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":"sha256:7e65aeb90e056c5863dad1d51b70efe9a89407dd783073f3722485bfce156212","target":"record","created_at":"2026-05-18T02:05:43Z","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":"f5469fa3e046e26382c6da98d0ae22a358ab83659fe63b9891f6089854bdedd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-24T11:04:19Z","title_canon_sha256":"5ec828d982e4541655dd4c0ff2ffa91492f2c7ad851fd744057061763442edbe"},"schema_version":"1.0","source":{"id":"1008.4010","kind":"arxiv","version":1}},"canonical_sha256":"3271a094e06b2e8b75ce4952d8bd06bcaa7ab01ff28bf82de07f89dbaa9783af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3271a094e06b2e8b75ce4952d8bd06bcaa7ab01ff28bf82de07f89dbaa9783af","first_computed_at":"2026-05-18T02:05:43.396698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:43.396698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WCTnRpe8NKBz6MTgWYodqxRm54mtSmsUgqPBLy+b60i5BL/Al0vDiMyT/HcM0TlJ8KwTSHRI/sj4O/ATOUKUDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:43.397201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e65aeb90e056c5863dad1d51b70efe9a89407dd783073f3722485bfce156212","sha256:1075177b9e5c643c63757f44c18cf6ee5d9651a04c80abc9874bfc35c7acdd1a"],"state_sha256":"4b87d01ae2a4ebab41951ff45d8bc4283e79789b9249f30788e9143ac8e156cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lhd90xxVQgRPp4Kt2a8K9rkHM0qz61is99byR6Hwqd6YHnesjXjG8LyFTwfHG8haEAp1SHB/B6qlei+AslvmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T16:56:32.697406Z","bundle_sha256":"cd81a859c49961504b411771605a112d964f2ea0cf53926072edcb9946b61f32"}}