{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6ZS52YHBVWPV456JM2QU2WRZBC","short_pith_number":"pith:6ZS52YHB","canonical_record":{"source":{"id":"1404.0309","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-04-01T16:49:47Z","cross_cats_sorted":[],"title_canon_sha256":"11588c3f6f1e42fb0d876469dff77e93e4d590233607194d9dd8f2fffd77b9c9","abstract_canon_sha256":"aed5311b3d7827bbcc14dfef57c2e2f01858f2742e0df2d398df57c9591e0195"},"schema_version":"1.0"},"canonical_sha256":"f665dd60e1ad9f5e77c966a14d5a3908a19e6bb85b3638e5bf17c0824ec7e8ab","source":{"kind":"arxiv","id":"1404.0309","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0309","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0309v5","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0309","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"pith_short_12","alias_value":"6ZS52YHBVWPV","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6ZS52YHBVWPV456J","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6ZS52YHB","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6ZS52YHBVWPV456JM2QU2WRZBC","target":"record","payload":{"canonical_record":{"source":{"id":"1404.0309","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-04-01T16:49:47Z","cross_cats_sorted":[],"title_canon_sha256":"11588c3f6f1e42fb0d876469dff77e93e4d590233607194d9dd8f2fffd77b9c9","abstract_canon_sha256":"aed5311b3d7827bbcc14dfef57c2e2f01858f2742e0df2d398df57c9591e0195"},"schema_version":"1.0"},"canonical_sha256":"f665dd60e1ad9f5e77c966a14d5a3908a19e6bb85b3638e5bf17c0824ec7e8ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:47.972673Z","signature_b64":"4N2bd4fMvTRKYai+9tcBko2FW3bHph+yKA6LZ1zrGX8mVmSIOTmzHy+in49PgGPPYizLCJ6MgkVHyZJwRV6SBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f665dd60e1ad9f5e77c966a14d5a3908a19e6bb85b3638e5bf17c0824ec7e8ab","last_reissued_at":"2026-05-18T02:28:47.972290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:47.972290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.0309","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:28:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rrVUkgArNT6sh+mCcCPbjK1z1iXTiUJ5sLmdyEu6onnH70uzhFQaISqcd6vYr0e8iki9L9l1xhFHRTa6g+2aCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:49:39.706082Z"},"content_sha256":"6aaeb0f6b425a1664600b556c1ba83c47b988b5124a6ab5bc990ef439035afc5","schema_version":"1.0","event_id":"sha256:6aaeb0f6b425a1664600b556c1ba83c47b988b5124a6ab5bc990ef439035afc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6ZS52YHBVWPV456JM2QU2WRZBC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the linearity of origin-preserving automorphisms of quasi-circular domains in $\\mathbb C^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Atsushi Yamamori","submitted_at":"2014-04-01T16:49:47Z","abstract_excerpt":"A theorem due to Cartan asserts that every origin-preserving automorphism of bounded circular domains with respect to the origin is linear. In the present paper, by employing the theory of Bergman's representative domain, we prove that under certain circumstances Cartan's assertion remains true for quasi-circular domains in $\\mathbb C^n$. Our main result is applied to obtain some simple criterions for the case $n=3$ and to prove that Braun-Kaup-Upmeier's theorem remains true for our class of quasi-circular domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0309","kind":"arxiv","version":5},"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":"2026-05-18T02:28:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bJ+6ETwIQ3Fn6xzTZQ8w4vFNt5H1dJ0blGQoDPq74yWE1x+hJvOizY3eq4PNDz0Jw6Uq6efo2hZITRfKPB9sCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:49:39.706444Z"},"content_sha256":"feebd75798d3cc13f25e2588f5fec6b4a0887322975ae506e321e97813f78afd","schema_version":"1.0","event_id":"sha256:feebd75798d3cc13f25e2588f5fec6b4a0887322975ae506e321e97813f78afd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ZS52YHBVWPV456JM2QU2WRZBC/bundle.json","state_url":"https://pith.science/pith/6ZS52YHBVWPV456JM2QU2WRZBC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ZS52YHBVWPV456JM2QU2WRZBC/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":"2026-06-04T13:49:39Z","links":{"resolver":"https://pith.science/pith/6ZS52YHBVWPV456JM2QU2WRZBC","bundle":"https://pith.science/pith/6ZS52YHBVWPV456JM2QU2WRZBC/bundle.json","state":"https://pith.science/pith/6ZS52YHBVWPV456JM2QU2WRZBC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ZS52YHBVWPV456JM2QU2WRZBC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6ZS52YHBVWPV456JM2QU2WRZBC","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":"aed5311b3d7827bbcc14dfef57c2e2f01858f2742e0df2d398df57c9591e0195","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-04-01T16:49:47Z","title_canon_sha256":"11588c3f6f1e42fb0d876469dff77e93e4d590233607194d9dd8f2fffd77b9c9"},"schema_version":"1.0","source":{"id":"1404.0309","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0309","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0309v5","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0309","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"pith_short_12","alias_value":"6ZS52YHBVWPV","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6ZS52YHBVWPV456J","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6ZS52YHB","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:feebd75798d3cc13f25e2588f5fec6b4a0887322975ae506e321e97813f78afd","target":"graph","created_at":"2026-05-18T02:28:47Z","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":"A theorem due to Cartan asserts that every origin-preserving automorphism of bounded circular domains with respect to the origin is linear. In the present paper, by employing the theory of Bergman's representative domain, we prove that under certain circumstances Cartan's assertion remains true for quasi-circular domains in $\\mathbb C^n$. Our main result is applied to obtain some simple criterions for the case $n=3$ and to prove that Braun-Kaup-Upmeier's theorem remains true for our class of quasi-circular domains.","authors_text":"Atsushi Yamamori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-04-01T16:49:47Z","title":"On the linearity of origin-preserving automorphisms of quasi-circular domains in $\\mathbb C^n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0309","kind":"arxiv","version":5},"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":"sha256:6aaeb0f6b425a1664600b556c1ba83c47b988b5124a6ab5bc990ef439035afc5","target":"record","created_at":"2026-05-18T02:28:47Z","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":"aed5311b3d7827bbcc14dfef57c2e2f01858f2742e0df2d398df57c9591e0195","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-04-01T16:49:47Z","title_canon_sha256":"11588c3f6f1e42fb0d876469dff77e93e4d590233607194d9dd8f2fffd77b9c9"},"schema_version":"1.0","source":{"id":"1404.0309","kind":"arxiv","version":5}},"canonical_sha256":"f665dd60e1ad9f5e77c966a14d5a3908a19e6bb85b3638e5bf17c0824ec7e8ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f665dd60e1ad9f5e77c966a14d5a3908a19e6bb85b3638e5bf17c0824ec7e8ab","first_computed_at":"2026-05-18T02:28:47.972290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:47.972290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4N2bd4fMvTRKYai+9tcBko2FW3bHph+yKA6LZ1zrGX8mVmSIOTmzHy+in49PgGPPYizLCJ6MgkVHyZJwRV6SBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:47.972673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0309","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6aaeb0f6b425a1664600b556c1ba83c47b988b5124a6ab5bc990ef439035afc5","sha256:feebd75798d3cc13f25e2588f5fec6b4a0887322975ae506e321e97813f78afd"],"state_sha256":"644224c41a5f43eeb4eaf871cb32c2e8b3a4cda5ed07e912eb364ff98e476070"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2lW1kgMXaCMUyQlmuBENYI2uQaqp8KJ036GQuECPeOsC+INbdGDWozqdZ4PdzlF0FYfFiHtcUTEcgqBvjAb5AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T13:49:39.708522Z","bundle_sha256":"4335182e40df0c0f1a83e7bac792fd7e9f2d993d8ef9e22a8efa37d6e029b6ff"}}