{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FYQZ4IJ3CJAJR67PWRIVPTCO25","short_pith_number":"pith:FYQZ4IJ3","canonical_record":{"source":{"id":"1206.1342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-06T20:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"8eaeceeefd73385c8e8fddcf5bedfe6f5d9a161474bb43e0b2ae3052426ff1c2","abstract_canon_sha256":"6ba9154f5d21c73a00b78299ab4c127fbfa566ab5c504462a7e6f2368d8f8d56"},"schema_version":"1.0"},"canonical_sha256":"2e219e213b124098fbefb45157cc4ed750655a6e948299b9110173aca7730704","source":{"kind":"arxiv","id":"1206.1342","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.1342","created_at":"2026-05-18T03:54:05Z"},{"alias_kind":"arxiv_version","alias_value":"1206.1342v1","created_at":"2026-05-18T03:54:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1342","created_at":"2026-05-18T03:54:05Z"},{"alias_kind":"pith_short_12","alias_value":"FYQZ4IJ3CJAJ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FYQZ4IJ3CJAJR67P","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FYQZ4IJ3","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FYQZ4IJ3CJAJR67PWRIVPTCO25","target":"record","payload":{"canonical_record":{"source":{"id":"1206.1342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-06T20:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"8eaeceeefd73385c8e8fddcf5bedfe6f5d9a161474bb43e0b2ae3052426ff1c2","abstract_canon_sha256":"6ba9154f5d21c73a00b78299ab4c127fbfa566ab5c504462a7e6f2368d8f8d56"},"schema_version":"1.0"},"canonical_sha256":"2e219e213b124098fbefb45157cc4ed750655a6e948299b9110173aca7730704","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:05.414976Z","signature_b64":"5JYVFtX2fh9g5Y0sloJJnu9g5/etKLiirnIn7tw7OIQtV1xHnO5x1hLreDWigloFl7pvCnYw7aV3bJ6rjYGLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e219e213b124098fbefb45157cc4ed750655a6e948299b9110173aca7730704","last_reissued_at":"2026-05-18T03:54:05.414335Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:05.414335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.1342","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":"2026-05-18T03:54:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iF+tFMlyGr5baX93hSBlHlkTNHQ9mkp7bJwZaBSKT65PQCvezZ5pzB6PHGmlWA8J9mT4pMq4bUXfAd8YkmzzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:24:36.342491Z"},"content_sha256":"3be51b8b7d397cd49c8400602fca987902e3955c13fbd43d5f1f4261e42b5d24","schema_version":"1.0","event_id":"sha256:3be51b8b7d397cd49c8400602fca987902e3955c13fbd43d5f1f4261e42b5d24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FYQZ4IJ3CJAJR67PWRIVPTCO25","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equidistant hypersurfaces of the bidisk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Rosemonde Lareau-Dussault, Todd A. Drumm, Virginie Charette","submitted_at":"2012-06-06T20:17:42Z","abstract_excerpt":"The following are notes on the geometry of the bidisk. In particular, we examine the properties of equidistant surfaces in the bidisk."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1342","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":"2026-05-18T03:54:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5lGSDF0hramSnXw6rOtxvJopw3o1Mmc0TQjsXG8Xn8AOoQLOTCOjNolLi1HJp1rNYd0H7xtMZTmYWL8uOC6EDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:24:36.343211Z"},"content_sha256":"32e0363a0b19001187eea3d6ea5cc57321a491bb86c3683c7f9934365dc29fb4","schema_version":"1.0","event_id":"sha256:32e0363a0b19001187eea3d6ea5cc57321a491bb86c3683c7f9934365dc29fb4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FYQZ4IJ3CJAJR67PWRIVPTCO25/bundle.json","state_url":"https://pith.science/pith/FYQZ4IJ3CJAJR67PWRIVPTCO25/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FYQZ4IJ3CJAJR67PWRIVPTCO25/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":"2026-05-31T09:24:36Z","links":{"resolver":"https://pith.science/pith/FYQZ4IJ3CJAJR67PWRIVPTCO25","bundle":"https://pith.science/pith/FYQZ4IJ3CJAJR67PWRIVPTCO25/bundle.json","state":"https://pith.science/pith/FYQZ4IJ3CJAJR67PWRIVPTCO25/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FYQZ4IJ3CJAJR67PWRIVPTCO25/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FYQZ4IJ3CJAJR67PWRIVPTCO25","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":"6ba9154f5d21c73a00b78299ab4c127fbfa566ab5c504462a7e6f2368d8f8d56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-06T20:17:42Z","title_canon_sha256":"8eaeceeefd73385c8e8fddcf5bedfe6f5d9a161474bb43e0b2ae3052426ff1c2"},"schema_version":"1.0","source":{"id":"1206.1342","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.1342","created_at":"2026-05-18T03:54:05Z"},{"alias_kind":"arxiv_version","alias_value":"1206.1342v1","created_at":"2026-05-18T03:54:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1342","created_at":"2026-05-18T03:54:05Z"},{"alias_kind":"pith_short_12","alias_value":"FYQZ4IJ3CJAJ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FYQZ4IJ3CJAJR67P","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FYQZ4IJ3","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:32e0363a0b19001187eea3d6ea5cc57321a491bb86c3683c7f9934365dc29fb4","target":"graph","created_at":"2026-05-18T03:54:05Z","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":"The following are notes on the geometry of the bidisk. In particular, we examine the properties of equidistant surfaces in the bidisk.","authors_text":"Rosemonde Lareau-Dussault, Todd A. Drumm, Virginie Charette","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-06T20:17:42Z","title":"Equidistant hypersurfaces of the bidisk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1342","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":"sha256:3be51b8b7d397cd49c8400602fca987902e3955c13fbd43d5f1f4261e42b5d24","target":"record","created_at":"2026-05-18T03:54:05Z","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":"6ba9154f5d21c73a00b78299ab4c127fbfa566ab5c504462a7e6f2368d8f8d56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-06-06T20:17:42Z","title_canon_sha256":"8eaeceeefd73385c8e8fddcf5bedfe6f5d9a161474bb43e0b2ae3052426ff1c2"},"schema_version":"1.0","source":{"id":"1206.1342","kind":"arxiv","version":1}},"canonical_sha256":"2e219e213b124098fbefb45157cc4ed750655a6e948299b9110173aca7730704","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e219e213b124098fbefb45157cc4ed750655a6e948299b9110173aca7730704","first_computed_at":"2026-05-18T03:54:05.414335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:05.414335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5JYVFtX2fh9g5Y0sloJJnu9g5/etKLiirnIn7tw7OIQtV1xHnO5x1hLreDWigloFl7pvCnYw7aV3bJ6rjYGLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:05.414976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.1342","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3be51b8b7d397cd49c8400602fca987902e3955c13fbd43d5f1f4261e42b5d24","sha256:32e0363a0b19001187eea3d6ea5cc57321a491bb86c3683c7f9934365dc29fb4"],"state_sha256":"15440cd9fd32bc7c563634aadbd34d9b7067ed95e8563f6238db6d00a1fed4a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+UQK3EQH6f+zsQCaXpBMRZu6knbXjp96JHou4syjjY+lVNFe5QzH/vWHHU3HA17tJS+IQj2FgjoL9CvSgxfJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:24:36.347036Z","bundle_sha256":"f01169b78ecde094e4bc52e125a9883fb17d665b9d9a75d51f42fe89abe39277"}}