{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:DWQELHU23VFXURZ6HXAAUNMISC","short_pith_number":"pith:DWQELHU2","canonical_record":{"source":{"id":"math/9605222","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"1996-05-17T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"6a8c3b56ca92ee244727effe58f5a60f75acc1df7abc026cb1101e50d8d9c0ab","abstract_canon_sha256":"b1f93127ba0ad7e6df4393ea4374a78bcb5465edfd6fe682f3ae1dc15095dfac"},"schema_version":"1.0"},"canonical_sha256":"1da0459e9add4b7a473e3dc00a358890871d53f93f5562f67aec29c2608c3f6d","source":{"kind":"arxiv","id":"math/9605222","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9605222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9605222v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9605222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"DWQELHU23VFX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"DWQELHU23VFXURZ6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"DWQELHU2","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:DWQELHU23VFXURZ6HXAAUNMISC","target":"record","payload":{"canonical_record":{"source":{"id":"math/9605222","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"1996-05-17T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"6a8c3b56ca92ee244727effe58f5a60f75acc1df7abc026cb1101e50d8d9c0ab","abstract_canon_sha256":"b1f93127ba0ad7e6df4393ea4374a78bcb5465edfd6fe682f3ae1dc15095dfac"},"schema_version":"1.0"},"canonical_sha256":"1da0459e9add4b7a473e3dc00a358890871d53f93f5562f67aec29c2608c3f6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:47.422153Z","signature_b64":"5f6Oxp8tzTS1Y0tsCDN5SuYV7mlah1x33stoVSCwtai0UdK6ol/e0uf7CArKpO0M0hUWxY7lQTrDhXlHznznAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1da0459e9add4b7a473e3dc00a358890871d53f93f5562f67aec29c2608c3f6d","last_reissued_at":"2026-05-18T01:05:47.421532Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:47.421532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9605222","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KvCXRl03jX/oIxTUyYXqMdISJHHXWlOlmxOzELX6NuQNSi64g8TPK6MdzSIvmG9Zd7Y7rZ+w6XBRP1KMBLHtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:45:05.398195Z"},"content_sha256":"0948aa5492306620369b6e6bb8e394aa7b3b2f4b259ca3c7beb6b3b2fc3ba3b4","schema_version":"1.0","event_id":"sha256:0948aa5492306620369b6e6bb8e394aa7b3b2f4b259ca3c7beb6b3b2fc3ba3b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:DWQELHU23VFXURZ6HXAAUNMISC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Singly Periodic Genus-One Helicoid","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"David Hoffman, Fusheng Wei, Hermann Karcher","submitted_at":"1996-05-17T00:00:00Z","abstract_excerpt":"We prove the existence of a complete, embedded, singly periodic minimal surface, whose quotient by vertical translations has genus one and two ends. The existence of this surface was announced in our paper in {\\it Bulletin of the AMS}, 29(1):77--84, 1993. Its ends in the quotient are asymptotic to one full turn of the helicoid, and, like the helicoid, it contains a vertical line. Modulo vertical translations, it has two parallel horizontal lines crossing the vertical axis. The nontrivial symmetries of the surface, modulo vertical translations, consist of: $180^\\circ$ rotation about the vertica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9605222","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fr/j6Qh5WL5iV4YOiYloljF5H7xd8AYffTTvc0ZGTSA9w8bu6gEjLVrQFUFnY1B0qgTuXGwOGueJh5rO+TYECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:45:05.398746Z"},"content_sha256":"b417cf96ae4a4e3132afa0df99dcad1cf2d062701356c40ed39d6ba1c3166850","schema_version":"1.0","event_id":"sha256:b417cf96ae4a4e3132afa0df99dcad1cf2d062701356c40ed39d6ba1c3166850"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DWQELHU23VFXURZ6HXAAUNMISC/bundle.json","state_url":"https://pith.science/pith/DWQELHU23VFXURZ6HXAAUNMISC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DWQELHU23VFXURZ6HXAAUNMISC/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":"2026-06-05T05:45:05Z","links":{"resolver":"https://pith.science/pith/DWQELHU23VFXURZ6HXAAUNMISC","bundle":"https://pith.science/pith/DWQELHU23VFXURZ6HXAAUNMISC/bundle.json","state":"https://pith.science/pith/DWQELHU23VFXURZ6HXAAUNMISC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DWQELHU23VFXURZ6HXAAUNMISC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:DWQELHU23VFXURZ6HXAAUNMISC","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":"b1f93127ba0ad7e6df4393ea4374a78bcb5465edfd6fe682f3ae1dc15095dfac","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"1996-05-17T00:00:00Z","title_canon_sha256":"6a8c3b56ca92ee244727effe58f5a60f75acc1df7abc026cb1101e50d8d9c0ab"},"schema_version":"1.0","source":{"id":"math/9605222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9605222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9605222v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9605222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"DWQELHU23VFX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"DWQELHU23VFXURZ6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"DWQELHU2","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:b417cf96ae4a4e3132afa0df99dcad1cf2d062701356c40ed39d6ba1c3166850","target":"graph","created_at":"2026-05-18T01:05:47Z","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":"We prove the existence of a complete, embedded, singly periodic minimal surface, whose quotient by vertical translations has genus one and two ends. The existence of this surface was announced in our paper in {\\it Bulletin of the AMS}, 29(1):77--84, 1993. Its ends in the quotient are asymptotic to one full turn of the helicoid, and, like the helicoid, it contains a vertical line. Modulo vertical translations, it has two parallel horizontal lines crossing the vertical axis. The nontrivial symmetries of the surface, modulo vertical translations, consist of: $180^\\circ$ rotation about the vertica","authors_text":"David Hoffman, Fusheng Wei, Hermann Karcher","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"1996-05-17T00:00:00Z","title":"The Singly Periodic Genus-One Helicoid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9605222","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":"sha256:0948aa5492306620369b6e6bb8e394aa7b3b2f4b259ca3c7beb6b3b2fc3ba3b4","target":"record","created_at":"2026-05-18T01:05:47Z","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":"b1f93127ba0ad7e6df4393ea4374a78bcb5465edfd6fe682f3ae1dc15095dfac","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"1996-05-17T00:00:00Z","title_canon_sha256":"6a8c3b56ca92ee244727effe58f5a60f75acc1df7abc026cb1101e50d8d9c0ab"},"schema_version":"1.0","source":{"id":"math/9605222","kind":"arxiv","version":1}},"canonical_sha256":"1da0459e9add4b7a473e3dc00a358890871d53f93f5562f67aec29c2608c3f6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1da0459e9add4b7a473e3dc00a358890871d53f93f5562f67aec29c2608c3f6d","first_computed_at":"2026-05-18T01:05:47.421532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:47.421532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5f6Oxp8tzTS1Y0tsCDN5SuYV7mlah1x33stoVSCwtai0UdK6ol/e0uf7CArKpO0M0hUWxY7lQTrDhXlHznznAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:47.422153Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9605222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0948aa5492306620369b6e6bb8e394aa7b3b2f4b259ca3c7beb6b3b2fc3ba3b4","sha256:b417cf96ae4a4e3132afa0df99dcad1cf2d062701356c40ed39d6ba1c3166850"],"state_sha256":"754f32cadc071eeab8735e3b43ed416f38c913fa005712635c5db2a6627b2e23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S++dLVWgVnI86Tw1cvZU5BFYssZaXimSS7pTbQyDBTIfloiFYzmuvz8r47tj0jnQUkh94evnSX7DVBW1lDrJDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T05:45:05.401438Z","bundle_sha256":"ce79cf0669e72e983ea4737dd0d2d8f558b17539547497b460be36d72b8ca2e4"}}