{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5CY3RY6J73IMHC7ZGEJYQDPHHS","short_pith_number":"pith:5CY3RY6J","canonical_record":{"source":{"id":"1311.3488","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-11-14T12:45:04Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"737085349dc8367f187de01a7dfd9443132af26a502406d300d012cefa4ef705","abstract_canon_sha256":"f63e016dc03a5c429727bf93ce1a2b440a0c2c9f8abf1eca1273ee78345b7ba6"},"schema_version":"1.0"},"canonical_sha256":"e8b1b8e3c9fed0c38bf93113880de73ca938c8377981226d7de6828c5f8f6056","source":{"kind":"arxiv","id":"1311.3488","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3488","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3488v1","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3488","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"pith_short_12","alias_value":"5CY3RY6J73IM","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5CY3RY6J73IMHC7Z","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5CY3RY6J","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5CY3RY6J73IMHC7ZGEJYQDPHHS","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3488","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-11-14T12:45:04Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"737085349dc8367f187de01a7dfd9443132af26a502406d300d012cefa4ef705","abstract_canon_sha256":"f63e016dc03a5c429727bf93ce1a2b440a0c2c9f8abf1eca1273ee78345b7ba6"},"schema_version":"1.0"},"canonical_sha256":"e8b1b8e3c9fed0c38bf93113880de73ca938c8377981226d7de6828c5f8f6056","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:11.348089Z","signature_b64":"H58zBDUab5o/u7PPtXtXgsxSScDrr7BBUwlAxc2ohYP7vAwt1tz+3P6lfpgC+RLTKZjR8AG8by0+samRrHeNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8b1b8e3c9fed0c38bf93113880de73ca938c8377981226d7de6828c5f8f6056","last_reissued_at":"2026-05-18T03:07:11.347570Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:11.347570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3488","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":"2026-05-18T03:07:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pELwZx79oR+KbugQV/0WTuF6BAWc2mubZhA/AkMsp2QjAo8iA6sdd7UugLpbma1eeG/blgkuef63TTs5AP/sCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:29:11.178259Z"},"content_sha256":"dd020f66140b99c6204f36c86a910b12eb9aa78b87aab6fe931bf07006452cee","schema_version":"1.0","event_id":"sha256:dd020f66140b99c6204f36c86a910b12eb9aa78b87aab6fe931bf07006452cee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5CY3RY6J73IMHC7ZGEJYQDPHHS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic characterization of quasi-isometric spaces via the Higson compactification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.MG","authors_text":"Alberto Candel, Jes\\'us A. \\'Alvarez L\\'opez","submitted_at":"2013-11-14T12:45:04Z","abstract_excerpt":"The purpose of this article is to characterize the quasi-isometry type of a proper metric space via the Banach algebra of Higson functions on it."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3488","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":"2026-05-18T03:07:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ja1IiCcjuWWdSpm7hep6Z0TFRSV2YLZps4Yvf8gQw8RAlyy8yel1D18jBb2ZBllgcrbeJagwE6VNa0Eep6SKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:29:11.178619Z"},"content_sha256":"636e8cf4d035eac52892d9009e86735c1de8c938dfdf9c953c8535694639c2ef","schema_version":"1.0","event_id":"sha256:636e8cf4d035eac52892d9009e86735c1de8c938dfdf9c953c8535694639c2ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CY3RY6J73IMHC7ZGEJYQDPHHS/bundle.json","state_url":"https://pith.science/pith/5CY3RY6J73IMHC7ZGEJYQDPHHS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CY3RY6J73IMHC7ZGEJYQDPHHS/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":"2026-07-01T16:29:11Z","links":{"resolver":"https://pith.science/pith/5CY3RY6J73IMHC7ZGEJYQDPHHS","bundle":"https://pith.science/pith/5CY3RY6J73IMHC7ZGEJYQDPHHS/bundle.json","state":"https://pith.science/pith/5CY3RY6J73IMHC7ZGEJYQDPHHS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CY3RY6J73IMHC7ZGEJYQDPHHS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5CY3RY6J73IMHC7ZGEJYQDPHHS","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":"f63e016dc03a5c429727bf93ce1a2b440a0c2c9f8abf1eca1273ee78345b7ba6","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-11-14T12:45:04Z","title_canon_sha256":"737085349dc8367f187de01a7dfd9443132af26a502406d300d012cefa4ef705"},"schema_version":"1.0","source":{"id":"1311.3488","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3488","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3488v1","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3488","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"pith_short_12","alias_value":"5CY3RY6J73IM","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5CY3RY6J73IMHC7Z","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5CY3RY6J","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:636e8cf4d035eac52892d9009e86735c1de8c938dfdf9c953c8535694639c2ef","target":"graph","created_at":"2026-05-18T03:07:11Z","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 purpose of this article is to characterize the quasi-isometry type of a proper metric space via the Banach algebra of Higson functions on it.","authors_text":"Alberto Candel, Jes\\'us A. \\'Alvarez L\\'opez","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-11-14T12:45:04Z","title":"Algebraic characterization of quasi-isometric spaces via the Higson compactification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3488","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:dd020f66140b99c6204f36c86a910b12eb9aa78b87aab6fe931bf07006452cee","target":"record","created_at":"2026-05-18T03:07:11Z","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":"f63e016dc03a5c429727bf93ce1a2b440a0c2c9f8abf1eca1273ee78345b7ba6","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-11-14T12:45:04Z","title_canon_sha256":"737085349dc8367f187de01a7dfd9443132af26a502406d300d012cefa4ef705"},"schema_version":"1.0","source":{"id":"1311.3488","kind":"arxiv","version":1}},"canonical_sha256":"e8b1b8e3c9fed0c38bf93113880de73ca938c8377981226d7de6828c5f8f6056","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8b1b8e3c9fed0c38bf93113880de73ca938c8377981226d7de6828c5f8f6056","first_computed_at":"2026-05-18T03:07:11.347570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:11.347570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H58zBDUab5o/u7PPtXtXgsxSScDrr7BBUwlAxc2ohYP7vAwt1tz+3P6lfpgC+RLTKZjR8AG8by0+samRrHeNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:11.348089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3488","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd020f66140b99c6204f36c86a910b12eb9aa78b87aab6fe931bf07006452cee","sha256:636e8cf4d035eac52892d9009e86735c1de8c938dfdf9c953c8535694639c2ef"],"state_sha256":"dfe19551488bc9b8559231ad82cab25eba680c85145b5a0ffcd98626c0a41a86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Be9cjXUKrIpkk95o9aavI7+m9+FczrXJncnCvdONZex2KCsxLOcKx8lXphgVFxUggMpdiaXh2EPSwnItoRoRDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T16:29:11.180572Z","bundle_sha256":"37c30d5257b2dbd0f473a1d2e6974c2ddee9a24247cf1fdebc096da42c2fb59a"}}