{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7ORI3O56GP2GQYT7JRVTANYEIP","short_pith_number":"pith:7ORI3O56","canonical_record":{"source":{"id":"1107.0595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-07-04T11:15:09Z","cross_cats_sorted":["math.AG","math.DG"],"title_canon_sha256":"4e54849cd8ae8e9bb7bd537f61cf44b432eadda6ca2ad2fbff871fc7e95f375f","abstract_canon_sha256":"6b4cedebaa43f4fca3ff9c8fd731dd2298448121c47f14039d5270a3103ad485"},"schema_version":"1.0"},"canonical_sha256":"fba28dbbbe33f468627f4c6b30370443e5c1634085f643a17f6c670f326dd979","source":{"kind":"arxiv","id":"1107.0595","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0595","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0595v1","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0595","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"7ORI3O56GP2G","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7ORI3O56GP2GQYT7","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7ORI3O56","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7ORI3O56GP2GQYT7JRVTANYEIP","target":"record","payload":{"canonical_record":{"source":{"id":"1107.0595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-07-04T11:15:09Z","cross_cats_sorted":["math.AG","math.DG"],"title_canon_sha256":"4e54849cd8ae8e9bb7bd537f61cf44b432eadda6ca2ad2fbff871fc7e95f375f","abstract_canon_sha256":"6b4cedebaa43f4fca3ff9c8fd731dd2298448121c47f14039d5270a3103ad485"},"schema_version":"1.0"},"canonical_sha256":"fba28dbbbe33f468627f4c6b30370443e5c1634085f643a17f6c670f326dd979","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:35.560094Z","signature_b64":"3AJvnykbRF4EsPa+dh8+sPrGSBpspQ0r2L6qJFT1wPvFa4AdNp2fDay5riP18EjjXodKuN7cDE1+soMl7zCmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fba28dbbbe33f468627f4c6b30370443e5c1634085f643a17f6c670f326dd979","last_reissued_at":"2026-05-18T04:18:35.559557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:35.559557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.0595","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":"2026-05-18T04:18:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GWwyIks+GVx5ePwbfXB8bVG4MxF9T+f5c7d1umoys6SG5Fi3lZcXKtVYYfNefFimsFIlkgT4q+i821+yViK4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:51:22.435053Z"},"content_sha256":"a4d1f90831d5612d638d9981ce269aad9c65ec89c89bdf982325a7d198048ba4","schema_version":"1.0","event_id":"sha256:a4d1f90831d5612d638d9981ce269aad9c65ec89c89bdf982325a7d198048ba4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7ORI3O56GP2GQYT7JRVTANYEIP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An invitation to web geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"math.CV","authors_text":"Jorge Vit\\'orio Pereira, Luc Pirio","submitted_at":"2011-07-04T11:15:09Z","abstract_excerpt":"This book was intended to serve as supporting material for a mini-course on web geometry delivered at the 27th Brazilian Mathematical Colloquium which took place at IMPA in the last week of July 2009."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0595","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":"2026-05-18T04:18:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YBtK01M2zvNk0bqlqmheroO2H9uRDDXJ4iWUDoJeLOcVMMNKiPEr3k2UE8mBPkaC5NoTxLVJd0MjLKIE+NX2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:51:22.435731Z"},"content_sha256":"d6c05600d079736ea8ffeec5ff4b2e307ad786a1908f73d24a6c3a970463b63a","schema_version":"1.0","event_id":"sha256:d6c05600d079736ea8ffeec5ff4b2e307ad786a1908f73d24a6c3a970463b63a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7ORI3O56GP2GQYT7JRVTANYEIP/bundle.json","state_url":"https://pith.science/pith/7ORI3O56GP2GQYT7JRVTANYEIP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7ORI3O56GP2GQYT7JRVTANYEIP/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":"2026-06-05T03:51:22Z","links":{"resolver":"https://pith.science/pith/7ORI3O56GP2GQYT7JRVTANYEIP","bundle":"https://pith.science/pith/7ORI3O56GP2GQYT7JRVTANYEIP/bundle.json","state":"https://pith.science/pith/7ORI3O56GP2GQYT7JRVTANYEIP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7ORI3O56GP2GQYT7JRVTANYEIP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7ORI3O56GP2GQYT7JRVTANYEIP","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":"6b4cedebaa43f4fca3ff9c8fd731dd2298448121c47f14039d5270a3103ad485","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-07-04T11:15:09Z","title_canon_sha256":"4e54849cd8ae8e9bb7bd537f61cf44b432eadda6ca2ad2fbff871fc7e95f375f"},"schema_version":"1.0","source":{"id":"1107.0595","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0595","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0595v1","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0595","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"7ORI3O56GP2G","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7ORI3O56GP2GQYT7","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7ORI3O56","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:d6c05600d079736ea8ffeec5ff4b2e307ad786a1908f73d24a6c3a970463b63a","target":"graph","created_at":"2026-05-18T04:18:35Z","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":"This book was intended to serve as supporting material for a mini-course on web geometry delivered at the 27th Brazilian Mathematical Colloquium which took place at IMPA in the last week of July 2009.","authors_text":"Jorge Vit\\'orio Pereira, Luc Pirio","cross_cats":["math.AG","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-07-04T11:15:09Z","title":"An invitation to web geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0595","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:a4d1f90831d5612d638d9981ce269aad9c65ec89c89bdf982325a7d198048ba4","target":"record","created_at":"2026-05-18T04:18:35Z","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":"6b4cedebaa43f4fca3ff9c8fd731dd2298448121c47f14039d5270a3103ad485","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-07-04T11:15:09Z","title_canon_sha256":"4e54849cd8ae8e9bb7bd537f61cf44b432eadda6ca2ad2fbff871fc7e95f375f"},"schema_version":"1.0","source":{"id":"1107.0595","kind":"arxiv","version":1}},"canonical_sha256":"fba28dbbbe33f468627f4c6b30370443e5c1634085f643a17f6c670f326dd979","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fba28dbbbe33f468627f4c6b30370443e5c1634085f643a17f6c670f326dd979","first_computed_at":"2026-05-18T04:18:35.559557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:35.559557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3AJvnykbRF4EsPa+dh8+sPrGSBpspQ0r2L6qJFT1wPvFa4AdNp2fDay5riP18EjjXodKuN7cDE1+soMl7zCmDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:35.560094Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0595","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4d1f90831d5612d638d9981ce269aad9c65ec89c89bdf982325a7d198048ba4","sha256:d6c05600d079736ea8ffeec5ff4b2e307ad786a1908f73d24a6c3a970463b63a"],"state_sha256":"09130ecb007b599373bdab4e305aff5d1bdcbda05769226cec611f3042ab0ea9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UNw4pxjDq7ssaY8+BciH2B3aNTsY09i3mdl31qdOfwWqKVIViovXS1Z4UCvN0X2WO+jbe+gFs9zC2IdQcs6+AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T03:51:22.439074Z","bundle_sha256":"b23c1d0144ba7844df9650b525c46d1f33e271a4ea31b4da2582fa1f422d73fb"}}