{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:RZ32FXOSH4KHN5UZPT6NKWP2OI","short_pith_number":"pith:RZ32FXOS","canonical_record":{"source":{"id":"math/9509220","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"1995-09-12T00:00:00Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"b9148aa1a5988daa303c9777f320fce68977a5daf4877e8bcd7adcb1faf0dd74","abstract_canon_sha256":"7c931b4ac742e998b2dcd19787c332bd46513ba55d197b0a770246b55c541237"},"schema_version":"1.0"},"canonical_sha256":"8e77a2ddd23f1476f6997cfcd559fa7213dc04ca84560c9e33d7e98f163b5004","source":{"kind":"arxiv","id":"math/9509220","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9509220","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"arxiv_version","alias_value":"math/9509220v1","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9509220","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"pith_short_12","alias_value":"RZ32FXOSH4KH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"RZ32FXOSH4KHN5UZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"RZ32FXOS","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:RZ32FXOSH4KHN5UZPT6NKWP2OI","target":"record","payload":{"canonical_record":{"source":{"id":"math/9509220","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"1995-09-12T00:00:00Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"b9148aa1a5988daa303c9777f320fce68977a5daf4877e8bcd7adcb1faf0dd74","abstract_canon_sha256":"7c931b4ac742e998b2dcd19787c332bd46513ba55d197b0a770246b55c541237"},"schema_version":"1.0"},"canonical_sha256":"8e77a2ddd23f1476f6997cfcd559fa7213dc04ca84560c9e33d7e98f163b5004","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:48.297811Z","signature_b64":"ZUdZgpQ976USM27hmRJ2HlV3NYDdZQBoFrctOcMarMnvwrPluIlp14Ab3xcs3XXyQcp63v9jrozDWhV+DGYoCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e77a2ddd23f1476f6997cfcd559fa7213dc04ca84560c9e33d7e98f163b5004","last_reissued_at":"2026-05-18T01:05:48.297388Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:48.297388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9509220","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":"2026-05-18T01:05:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aPzprIQpnMdtgby+osbw6+eTSGDOZPkdcZV9Gjh09wDl1w+ys9Ys1sqmRzhjRYC1iMXnbfyma+WdIUyayuRiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:27:37.547196Z"},"content_sha256":"7dc5ad667fd689f4635b4c8c4930bb6185b15d22c3b5cb10f108838db98ff67d","schema_version":"1.0","event_id":"sha256:7dc5ad667fd689f4635b4c8c4930bb6185b15d22c3b5cb10f108838db98ff67d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:RZ32FXOSH4KHN5UZPT6NKWP2OI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry via Spherical Reflection and Spanning Drops in a Wedge","license":"","headline":"","cross_cats":["math.MG"],"primary_cat":"math.DG","authors_text":"John McCuan","submitted_at":"1995-09-12T00:00:00Z","abstract_excerpt":"We consider embedded ring-type surfaces (that is, compact, connected, orientable surfaces with two boundary components and Euler-Poincar\\'{e} characteristic zero) in ${\\bold R}^3$ of constant mean curvature which meet planes $\\Pi_1$ and $\\Pi_2$ in constant contact angles $\\gamma_1$ and $\\gamma_2$ and bound, together with those planes, an open set in ${\\bold R}^3$. If the planes are parallel, then it is known that any contact angles may be realized by infinitely many such surfaces given explicitly in terms of elliptic integrals. If $\\Pi_1$ meets $\\Pi_2$ in an angle $\\alpha$ and if $\\gamma_1+\\ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9509220","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":"2026-05-18T01:05:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NjMTtib3zzIIgZnCRIkQMcoQsiclNMQ+IISqpkvSPTlyOyPNi8nNqKt611IciBCuTsvey6yeTJxExUI2PSz2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:27:37.547572Z"},"content_sha256":"4dcecbc173ba5dca84f10c77e0027b4bf9da9e4a10b50f67aef13337983dbf6e","schema_version":"1.0","event_id":"sha256:4dcecbc173ba5dca84f10c77e0027b4bf9da9e4a10b50f67aef13337983dbf6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RZ32FXOSH4KHN5UZPT6NKWP2OI/bundle.json","state_url":"https://pith.science/pith/RZ32FXOSH4KHN5UZPT6NKWP2OI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RZ32FXOSH4KHN5UZPT6NKWP2OI/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":"2026-07-03T10:27:37Z","links":{"resolver":"https://pith.science/pith/RZ32FXOSH4KHN5UZPT6NKWP2OI","bundle":"https://pith.science/pith/RZ32FXOSH4KHN5UZPT6NKWP2OI/bundle.json","state":"https://pith.science/pith/RZ32FXOSH4KHN5UZPT6NKWP2OI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RZ32FXOSH4KHN5UZPT6NKWP2OI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:RZ32FXOSH4KHN5UZPT6NKWP2OI","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":"7c931b4ac742e998b2dcd19787c332bd46513ba55d197b0a770246b55c541237","cross_cats_sorted":["math.MG"],"license":"","primary_cat":"math.DG","submitted_at":"1995-09-12T00:00:00Z","title_canon_sha256":"b9148aa1a5988daa303c9777f320fce68977a5daf4877e8bcd7adcb1faf0dd74"},"schema_version":"1.0","source":{"id":"math/9509220","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9509220","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"arxiv_version","alias_value":"math/9509220v1","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9509220","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"pith_short_12","alias_value":"RZ32FXOSH4KH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"RZ32FXOSH4KHN5UZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"RZ32FXOS","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:4dcecbc173ba5dca84f10c77e0027b4bf9da9e4a10b50f67aef13337983dbf6e","target":"graph","created_at":"2026-05-18T01:05:48Z","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 consider embedded ring-type surfaces (that is, compact, connected, orientable surfaces with two boundary components and Euler-Poincar\\'{e} characteristic zero) in ${\\bold R}^3$ of constant mean curvature which meet planes $\\Pi_1$ and $\\Pi_2$ in constant contact angles $\\gamma_1$ and $\\gamma_2$ and bound, together with those planes, an open set in ${\\bold R}^3$. If the planes are parallel, then it is known that any contact angles may be realized by infinitely many such surfaces given explicitly in terms of elliptic integrals. If $\\Pi_1$ meets $\\Pi_2$ in an angle $\\alpha$ and if $\\gamma_1+\\ga","authors_text":"John McCuan","cross_cats":["math.MG"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"1995-09-12T00:00:00Z","title":"Symmetry via Spherical Reflection and Spanning Drops in a Wedge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9509220","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":"sha256:7dc5ad667fd689f4635b4c8c4930bb6185b15d22c3b5cb10f108838db98ff67d","target":"record","created_at":"2026-05-18T01:05:48Z","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":"7c931b4ac742e998b2dcd19787c332bd46513ba55d197b0a770246b55c541237","cross_cats_sorted":["math.MG"],"license":"","primary_cat":"math.DG","submitted_at":"1995-09-12T00:00:00Z","title_canon_sha256":"b9148aa1a5988daa303c9777f320fce68977a5daf4877e8bcd7adcb1faf0dd74"},"schema_version":"1.0","source":{"id":"math/9509220","kind":"arxiv","version":1}},"canonical_sha256":"8e77a2ddd23f1476f6997cfcd559fa7213dc04ca84560c9e33d7e98f163b5004","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e77a2ddd23f1476f6997cfcd559fa7213dc04ca84560c9e33d7e98f163b5004","first_computed_at":"2026-05-18T01:05:48.297388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:48.297388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZUdZgpQ976USM27hmRJ2HlV3NYDdZQBoFrctOcMarMnvwrPluIlp14Ab3xcs3XXyQcp63v9jrozDWhV+DGYoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:48.297811Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9509220","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7dc5ad667fd689f4635b4c8c4930bb6185b15d22c3b5cb10f108838db98ff67d","sha256:4dcecbc173ba5dca84f10c77e0027b4bf9da9e4a10b50f67aef13337983dbf6e"],"state_sha256":"1248cbd2aa1dfca5118553435acd453cc78f064d68aaa66729f9f47dbb3d7b3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e4d97IBj7WdXq27CR5nvet/2CCtpuTmw4caQMarR0UjMRw6rA/QEGLJS7be8lmOlHUCfZzyOZLbt2TG2KMPvBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T10:27:37.549493Z","bundle_sha256":"d782a64f7bbb605dd8b80aa73ed4520c42eb54cc5813b1a66e3e57d207cf5650"}}