{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4EEK4C4WVM3TSCJHOCV44GC2W6","short_pith_number":"pith:4EEK4C4W","canonical_record":{"source":{"id":"1710.07207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-10-19T15:56:52Z","cross_cats_sorted":["math.GT","math.MG"],"title_canon_sha256":"cc7d2459d8590811a269f61f4b3620f869ff03eec6d2b5821b6da5263b81057f","abstract_canon_sha256":"7ec63d619a59618f41b92188fefa19fe432cccfc7523db0a8f69d524f56bfd59"},"schema_version":"1.0"},"canonical_sha256":"e108ae0b96ab3739092770abce185ab7bbecc67c3fef7ecf2b3def0f71228d5b","source":{"kind":"arxiv","id":"1710.07207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07207","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07207v2","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07207","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"4EEK4C4WVM3T","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4EEK4C4WVM3TSCJH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4EEK4C4W","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4EEK4C4WVM3TSCJHOCV44GC2W6","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-10-19T15:56:52Z","cross_cats_sorted":["math.GT","math.MG"],"title_canon_sha256":"cc7d2459d8590811a269f61f4b3620f869ff03eec6d2b5821b6da5263b81057f","abstract_canon_sha256":"7ec63d619a59618f41b92188fefa19fe432cccfc7523db0a8f69d524f56bfd59"},"schema_version":"1.0"},"canonical_sha256":"e108ae0b96ab3739092770abce185ab7bbecc67c3fef7ecf2b3def0f71228d5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:19.549753Z","signature_b64":"/WcKwnG9Jwdsd2pvQXnas6X56prOvQy8TX7FEA9wCEBXa+RrP38XEEiwLpq7VZe9BxdsvaB9xg9MJ9c00onrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e108ae0b96ab3739092770abce185ab7bbecc67c3fef7ecf2b3def0f71228d5b","last_reissued_at":"2026-05-18T00:09:19.549235Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:19.549235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07207","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GIXu9biUd+I2GCOrAw7+EbW3CTyjr5VYlzqIE7djBAuM3DNDESwUNgrL82a8DRbXnCVsQ+nl6JHih28oN0r2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:08:47.612061Z"},"content_sha256":"6c3c6aa1e947f62cdf8bed4e8f2161ec5d6fd067fd25c84c71393e2d8c815df7","schema_version":"1.0","event_id":"sha256:6c3c6aa1e947f62cdf8bed4e8f2161ec5d6fd067fd25c84c71393e2d8c815df7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4EEK4C4WVM3TSCJHOCV44GC2W6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental groups as limits of discrete fundamental groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.MG"],"primary_cat":"math.GN","authors_text":"Federico Vigolo","submitted_at":"2017-10-19T15:56:52Z","abstract_excerpt":"In this note we investigate to what extent the fundamental group of a metric space can be described as the inverse limit of its discrete fundamental groups. We show that some mild conditions suffice to imply the existence of an isomorphism and we provide a list of counterexamples to possible weakenings of these hypotheses."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07207","kind":"arxiv","version":2},"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":"2026-05-18T00:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"339JXN+GQxWnWgT1TycYD8yLrihN7nDcUKGPE+afLea3ziicqWg3099OlAFpXKdQki6UFVnXHVpaUQAX7XVYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:08:47.612433Z"},"content_sha256":"959ec3f94a05c9ed6d960ecacd266f83dabd21153e3c11027a441f0e875b2806","schema_version":"1.0","event_id":"sha256:959ec3f94a05c9ed6d960ecacd266f83dabd21153e3c11027a441f0e875b2806"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EEK4C4WVM3TSCJHOCV44GC2W6/bundle.json","state_url":"https://pith.science/pith/4EEK4C4WVM3TSCJHOCV44GC2W6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EEK4C4WVM3TSCJHOCV44GC2W6/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":"2026-06-23T10:08:47Z","links":{"resolver":"https://pith.science/pith/4EEK4C4WVM3TSCJHOCV44GC2W6","bundle":"https://pith.science/pith/4EEK4C4WVM3TSCJHOCV44GC2W6/bundle.json","state":"https://pith.science/pith/4EEK4C4WVM3TSCJHOCV44GC2W6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EEK4C4WVM3TSCJHOCV44GC2W6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4EEK4C4WVM3TSCJHOCV44GC2W6","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":"7ec63d619a59618f41b92188fefa19fe432cccfc7523db0a8f69d524f56bfd59","cross_cats_sorted":["math.GT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-10-19T15:56:52Z","title_canon_sha256":"cc7d2459d8590811a269f61f4b3620f869ff03eec6d2b5821b6da5263b81057f"},"schema_version":"1.0","source":{"id":"1710.07207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07207","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07207v2","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07207","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"4EEK4C4WVM3T","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4EEK4C4WVM3TSCJH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4EEK4C4W","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:959ec3f94a05c9ed6d960ecacd266f83dabd21153e3c11027a441f0e875b2806","target":"graph","created_at":"2026-05-18T00:09:19Z","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":"In this note we investigate to what extent the fundamental group of a metric space can be described as the inverse limit of its discrete fundamental groups. We show that some mild conditions suffice to imply the existence of an isomorphism and we provide a list of counterexamples to possible weakenings of these hypotheses.","authors_text":"Federico Vigolo","cross_cats":["math.GT","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-10-19T15:56:52Z","title":"Fundamental groups as limits of discrete fundamental groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07207","kind":"arxiv","version":2},"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":"sha256:6c3c6aa1e947f62cdf8bed4e8f2161ec5d6fd067fd25c84c71393e2d8c815df7","target":"record","created_at":"2026-05-18T00:09:19Z","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":"7ec63d619a59618f41b92188fefa19fe432cccfc7523db0a8f69d524f56bfd59","cross_cats_sorted":["math.GT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-10-19T15:56:52Z","title_canon_sha256":"cc7d2459d8590811a269f61f4b3620f869ff03eec6d2b5821b6da5263b81057f"},"schema_version":"1.0","source":{"id":"1710.07207","kind":"arxiv","version":2}},"canonical_sha256":"e108ae0b96ab3739092770abce185ab7bbecc67c3fef7ecf2b3def0f71228d5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e108ae0b96ab3739092770abce185ab7bbecc67c3fef7ecf2b3def0f71228d5b","first_computed_at":"2026-05-18T00:09:19.549235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:19.549235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/WcKwnG9Jwdsd2pvQXnas6X56prOvQy8TX7FEA9wCEBXa+RrP38XEEiwLpq7VZe9BxdsvaB9xg9MJ9c00onrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:19.549753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c3c6aa1e947f62cdf8bed4e8f2161ec5d6fd067fd25c84c71393e2d8c815df7","sha256:959ec3f94a05c9ed6d960ecacd266f83dabd21153e3c11027a441f0e875b2806"],"state_sha256":"4d963ce7767dacb11f9861178315c638bff72dca8cc45915d4ce7976393d2450"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLzxpho5dIiQQB4OMKM9v7Ya9K1t44DolVsFzbhb6WE/n/7bWJ+ksw0wCHbKsvUoXrrmXBuAmXcEOPYhHv5RBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T10:08:47.614356Z","bundle_sha256":"6cd2aaf7cee2f752d321349c191c09e77e4700fc9b8e78cd85a084b626c620ed"}}