{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:4KBHFMLJ7KRXUVX2FFSI4ISLXN","short_pith_number":"pith:4KBHFMLJ","canonical_record":{"source":{"id":"2411.10567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-15T20:30:08Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"06ac121bc30703800630fe7b9909c9e5e5d0119072fbf425b59f3ff769be0176","abstract_canon_sha256":"31883221e9013f5bdfe9f2fb5623b9dc98a7d272498ca3f8bb97c99aa0441fd3"},"schema_version":"1.0"},"canonical_sha256":"e28272b169faa37a56fa29648e224bbb54b8cf0b8f7f93508b98300452ad50c2","source":{"kind":"arxiv","id":"2411.10567","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10567","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10567v1","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10567","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"pith_short_12","alias_value":"4KBHFMLJ7KRX","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"pith_short_16","alias_value":"4KBHFMLJ7KRXUVX2","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"pith_short_8","alias_value":"4KBHFMLJ","created_at":"2026-07-05T09:36:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:4KBHFMLJ7KRXUVX2FFSI4ISLXN","target":"record","payload":{"canonical_record":{"source":{"id":"2411.10567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-15T20:30:08Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"06ac121bc30703800630fe7b9909c9e5e5d0119072fbf425b59f3ff769be0176","abstract_canon_sha256":"31883221e9013f5bdfe9f2fb5623b9dc98a7d272498ca3f8bb97c99aa0441fd3"},"schema_version":"1.0"},"canonical_sha256":"e28272b169faa37a56fa29648e224bbb54b8cf0b8f7f93508b98300452ad50c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:36:18.602250Z","signature_b64":"ZhLs2xjNGUXyixKKuUPGR6VBh8wAJ9aWW+Btn+w2XGhRV2awC+VY7bAaCg62BO7ZYY0nS+UBZ8Ll0UxctoyOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e28272b169faa37a56fa29648e224bbb54b8cf0b8f7f93508b98300452ad50c2","last_reissued_at":"2026-07-05T09:36:18.601823Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:36:18.601823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.10567","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":"2026-07-05T09:36:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NiobzTJbmnUn4aQAgtj3OoQZp2P/jzuu5KCZCwkYUFY4gTSun6Rr2bFCF/Ne8TCGz9QBYDdZjwe5QRM8WK6UCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:16:13.604761Z"},"content_sha256":"f1907aa5eed8209bb2fae88022836c5054f839529b1b91620c540ac3062079e0","schema_version":"1.0","event_id":"sha256:f1907aa5eed8209bb2fae88022836c5054f839529b1b91620c540ac3062079e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:4KBHFMLJ7KRXUVX2FFSI4ISLXN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Teor\\'ia de homotop\\'ia usando conjuntos simpliciales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Ang\\'elica Osorno, Manuel Rivera, Mathilda Campillo","submitted_at":"2024-11-15T20:30:08Z","abstract_excerpt":"These lecture notes (in Spanish) are based on a mini-course given by A. Osorno and M. Rivera at the First Colombian Geometry and Topology Meeting that took place at the Universidad Nacional de Colombia in July 2024 in Bogota. They are intended to be a guide for a first encounter with homotopy theory and simplicial methods - emphasizing intuition and important statements - accessible to students with basic knowledge of point set topology.\n  Estas notas surgieron como parte de un mini-curso dictado por A. Osorno y M. Rivera en el primer Encuentro Colombiano de Geometr\\'ia y Topolog\\'ia (ECOGyT) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10567","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.10567/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:36:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VfinclFiwTyKjADmcq6KNq5tTPI681Nua+7YX9hzqfokZHg4f+3qVP3rMhkW1cE7QGrGCUGTb9Q+MvMTBgOHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T04:16:13.605268Z"},"content_sha256":"e84cf5fb7ad00509cd1d3f833058302282b9e48c1aa2f8e5a838130d0fd9ee96","schema_version":"1.0","event_id":"sha256:e84cf5fb7ad00509cd1d3f833058302282b9e48c1aa2f8e5a838130d0fd9ee96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4KBHFMLJ7KRXUVX2FFSI4ISLXN/bundle.json","state_url":"https://pith.science/pith/4KBHFMLJ7KRXUVX2FFSI4ISLXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4KBHFMLJ7KRXUVX2FFSI4ISLXN/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":"2026-08-23T04:16:13Z","links":{"resolver":"https://pith.science/pith/4KBHFMLJ7KRXUVX2FFSI4ISLXN","bundle":"https://pith.science/pith/4KBHFMLJ7KRXUVX2FFSI4ISLXN/bundle.json","state":"https://pith.science/pith/4KBHFMLJ7KRXUVX2FFSI4ISLXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4KBHFMLJ7KRXUVX2FFSI4ISLXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4KBHFMLJ7KRXUVX2FFSI4ISLXN","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":"31883221e9013f5bdfe9f2fb5623b9dc98a7d272498ca3f8bb97c99aa0441fd3","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-15T20:30:08Z","title_canon_sha256":"06ac121bc30703800630fe7b9909c9e5e5d0119072fbf425b59f3ff769be0176"},"schema_version":"1.0","source":{"id":"2411.10567","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10567","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10567v1","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10567","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"pith_short_12","alias_value":"4KBHFMLJ7KRX","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"pith_short_16","alias_value":"4KBHFMLJ7KRXUVX2","created_at":"2026-07-05T09:36:18Z"},{"alias_kind":"pith_short_8","alias_value":"4KBHFMLJ","created_at":"2026-07-05T09:36:18Z"}],"graph_snapshots":[{"event_id":"sha256:e84cf5fb7ad00509cd1d3f833058302282b9e48c1aa2f8e5a838130d0fd9ee96","target":"graph","created_at":"2026-07-05T09:36:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.10567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"These lecture notes (in Spanish) are based on a mini-course given by A. Osorno and M. Rivera at the First Colombian Geometry and Topology Meeting that took place at the Universidad Nacional de Colombia in July 2024 in Bogota. They are intended to be a guide for a first encounter with homotopy theory and simplicial methods - emphasizing intuition and important statements - accessible to students with basic knowledge of point set topology.\n  Estas notas surgieron como parte de un mini-curso dictado por A. Osorno y M. Rivera en el primer Encuentro Colombiano de Geometr\\'ia y Topolog\\'ia (ECOGyT) ","authors_text":"Ang\\'elica Osorno, Manuel Rivera, Mathilda Campillo","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-15T20:30:08Z","title":"Teor\\'ia de homotop\\'ia usando conjuntos simpliciales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10567","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:f1907aa5eed8209bb2fae88022836c5054f839529b1b91620c540ac3062079e0","target":"record","created_at":"2026-07-05T09:36:18Z","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":"31883221e9013f5bdfe9f2fb5623b9dc98a7d272498ca3f8bb97c99aa0441fd3","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-15T20:30:08Z","title_canon_sha256":"06ac121bc30703800630fe7b9909c9e5e5d0119072fbf425b59f3ff769be0176"},"schema_version":"1.0","source":{"id":"2411.10567","kind":"arxiv","version":1}},"canonical_sha256":"e28272b169faa37a56fa29648e224bbb54b8cf0b8f7f93508b98300452ad50c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e28272b169faa37a56fa29648e224bbb54b8cf0b8f7f93508b98300452ad50c2","first_computed_at":"2026-07-05T09:36:18.601823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:18.601823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZhLs2xjNGUXyixKKuUPGR6VBh8wAJ9aWW+Btn+w2XGhRV2awC+VY7bAaCg62BO7ZYY0nS+UBZ8Ll0UxctoyOCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:18.602250Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.10567","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1907aa5eed8209bb2fae88022836c5054f839529b1b91620c540ac3062079e0","sha256:e84cf5fb7ad00509cd1d3f833058302282b9e48c1aa2f8e5a838130d0fd9ee96"],"state_sha256":"45414a172c8ca48d31eb92a390ef2db2dbd4e4837a226c170be71f9dfe9adecc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"snis+vdn2LeLy6pkUCD4kbZRr//T8Z+2h7/lIQecFcpdMGMYYWzs4J9qn8T9yT3lHrsLNDqklqV6wXG+TlhWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T04:16:13.610118Z","bundle_sha256":"e5c0b1b28e81f335b42ff7c29abfb7ad59799997c9a4d76d096e8b6bf977d243"}}