{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WHH3YZMG3XBEJKVUOYXGFSLZ2I","short_pith_number":"pith:WHH3YZMG","canonical_record":{"source":{"id":"1003.5621","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.MG","submitted_at":"2010-03-29T17:41:55Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"aff298ffa19916b8a3ed64f9848904543736ab5b1a96ca31e85270d348523838","abstract_canon_sha256":"589b9ab57fc725d58d82693845cc581ccad0910a7cc8859bc086ecd962085977"},"schema_version":"1.0"},"canonical_sha256":"b1cfbc6586ddc244aab4762e62c979d20c3b4dd464bf8fa2e6bc3b08fd3da865","source":{"kind":"arxiv","id":"1003.5621","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5621","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5621v3","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5621","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"pith_short_12","alias_value":"WHH3YZMG3XBE","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"WHH3YZMG3XBEJKVU","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"WHH3YZMG","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WHH3YZMG3XBEJKVUOYXGFSLZ2I","target":"record","payload":{"canonical_record":{"source":{"id":"1003.5621","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.MG","submitted_at":"2010-03-29T17:41:55Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"aff298ffa19916b8a3ed64f9848904543736ab5b1a96ca31e85270d348523838","abstract_canon_sha256":"589b9ab57fc725d58d82693845cc581ccad0910a7cc8859bc086ecd962085977"},"schema_version":"1.0"},"canonical_sha256":"b1cfbc6586ddc244aab4762e62c979d20c3b4dd464bf8fa2e6bc3b08fd3da865","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:56.547386Z","signature_b64":"M7NwdzZpVTeox4ZGlFBVNv4AxWTdas/f4syEcB+DM/NY9ylJjghm8QLN8ksZXSgGJqbEgF4RVKsptl3UjPoSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1cfbc6586ddc244aab4762e62c979d20c3b4dd464bf8fa2e6bc3b08fd3da865","last_reissued_at":"2026-05-17T23:56:56.546507Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:56.546507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.5621","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/5HIww3VFY+k4SJRVFOlLk/psEeOZCEegqQmGtiTKjFU+Gjg3Ka8uKVTc/1KuUbWxZcWKmrM0mBVtmmc+vYLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:33:38.285204Z"},"content_sha256":"c2d6f0f97707dc4a44168a01762f34d98e2ecc5afe9ec3c5121a8df8d833ffff","schema_version":"1.0","event_id":"sha256:c2d6f0f97707dc4a44168a01762f34d98e2ecc5afe9ec3c5121a8df8d833ffff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WHH3YZMG3XBEJKVUOYXGFSLZ2I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intrinsic isometries in Euclidean space","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.MG","authors_text":"Anton Petrunin","submitted_at":"2010-03-29T17:41:55Z","abstract_excerpt":"I consider compact metric spaces which admit intrinsic isometries to Euclidean d-space. The main result roughly states that the class of these spaces coincides with class of inverse limits of Euclidean d-polyhedra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5621","kind":"arxiv","version":3},"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":"2026-05-17T23:56:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XE8AodFZbsbQnBvEZ2l+FRAtEKgDDW1h8AiDidS3JgDdQ3zWZuikmgIWvzNTKbaLh1j3YTHgC+ucuBbHt10YBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:33:38.285571Z"},"content_sha256":"d856fc1c53a16f1bd5e5b9c5c97b9b67e41ce75f90d5c4838ce3d0c201abf1e6","schema_version":"1.0","event_id":"sha256:d856fc1c53a16f1bd5e5b9c5c97b9b67e41ce75f90d5c4838ce3d0c201abf1e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WHH3YZMG3XBEJKVUOYXGFSLZ2I/bundle.json","state_url":"https://pith.science/pith/WHH3YZMG3XBEJKVUOYXGFSLZ2I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WHH3YZMG3XBEJKVUOYXGFSLZ2I/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":"2026-06-22T15:33:38Z","links":{"resolver":"https://pith.science/pith/WHH3YZMG3XBEJKVUOYXGFSLZ2I","bundle":"https://pith.science/pith/WHH3YZMG3XBEJKVUOYXGFSLZ2I/bundle.json","state":"https://pith.science/pith/WHH3YZMG3XBEJKVUOYXGFSLZ2I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WHH3YZMG3XBEJKVUOYXGFSLZ2I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WHH3YZMG3XBEJKVUOYXGFSLZ2I","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":"589b9ab57fc725d58d82693845cc581ccad0910a7cc8859bc086ecd962085977","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.MG","submitted_at":"2010-03-29T17:41:55Z","title_canon_sha256":"aff298ffa19916b8a3ed64f9848904543736ab5b1a96ca31e85270d348523838"},"schema_version":"1.0","source":{"id":"1003.5621","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5621","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5621v3","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5621","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"pith_short_12","alias_value":"WHH3YZMG3XBE","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"WHH3YZMG3XBEJKVU","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"WHH3YZMG","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:d856fc1c53a16f1bd5e5b9c5c97b9b67e41ce75f90d5c4838ce3d0c201abf1e6","target":"graph","created_at":"2026-05-17T23:56:56Z","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":"I consider compact metric spaces which admit intrinsic isometries to Euclidean d-space. The main result roughly states that the class of these spaces coincides with class of inverse limits of Euclidean d-polyhedra.","authors_text":"Anton Petrunin","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.MG","submitted_at":"2010-03-29T17:41:55Z","title":"Intrinsic isometries in Euclidean space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5621","kind":"arxiv","version":3},"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:c2d6f0f97707dc4a44168a01762f34d98e2ecc5afe9ec3c5121a8df8d833ffff","target":"record","created_at":"2026-05-17T23:56:56Z","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":"589b9ab57fc725d58d82693845cc581ccad0910a7cc8859bc086ecd962085977","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.MG","submitted_at":"2010-03-29T17:41:55Z","title_canon_sha256":"aff298ffa19916b8a3ed64f9848904543736ab5b1a96ca31e85270d348523838"},"schema_version":"1.0","source":{"id":"1003.5621","kind":"arxiv","version":3}},"canonical_sha256":"b1cfbc6586ddc244aab4762e62c979d20c3b4dd464bf8fa2e6bc3b08fd3da865","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1cfbc6586ddc244aab4762e62c979d20c3b4dd464bf8fa2e6bc3b08fd3da865","first_computed_at":"2026-05-17T23:56:56.546507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:56.546507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M7NwdzZpVTeox4ZGlFBVNv4AxWTdas/f4syEcB+DM/NY9ylJjghm8QLN8ksZXSgGJqbEgF4RVKsptl3UjPoSAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:56.547386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5621","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2d6f0f97707dc4a44168a01762f34d98e2ecc5afe9ec3c5121a8df8d833ffff","sha256:d856fc1c53a16f1bd5e5b9c5c97b9b67e41ce75f90d5c4838ce3d0c201abf1e6"],"state_sha256":"f048a211504da57b0e4f87bc4572e1097c8f07d5abbfdff58d79b45f3054fa20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLPC3Io70AHrELrp8JaGIg/bzStDEc2TKSAGXPDdniyYBmrAagMpiedEKO/xsZDdrGsWRmq4PkXH+NVLpsfoAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:33:38.287550Z","bundle_sha256":"36177775a519fb2209aff6180647432b3194b0eff8d066975d49ea4ff7e8703b"}}