{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BO32DTCARXP3Y64537G5ERO4OD","short_pith_number":"pith:BO32DTCA","canonical_record":{"source":{"id":"1304.6862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-04-25T10:27:29Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"31a5f33b488b4a5f50e316c79dd4678c69a4ad7bb7713102842622570ef99277","abstract_canon_sha256":"26a2426c7eefd2864093f03af3cdb03ec52051e6b5e93c32b785f45cea87344d"},"schema_version":"1.0"},"canonical_sha256":"0bb7a1cc408ddfbc7b9ddfcdd245dc70da556a1ed2fc3cecce927f2a9e4edffb","source":{"kind":"arxiv","id":"1304.6862","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6862","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6862v1","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6862","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"pith_short_12","alias_value":"BO32DTCARXP3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BO32DTCARXP3Y645","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BO32DTCA","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BO32DTCARXP3Y64537G5ERO4OD","target":"record","payload":{"canonical_record":{"source":{"id":"1304.6862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-04-25T10:27:29Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"31a5f33b488b4a5f50e316c79dd4678c69a4ad7bb7713102842622570ef99277","abstract_canon_sha256":"26a2426c7eefd2864093f03af3cdb03ec52051e6b5e93c32b785f45cea87344d"},"schema_version":"1.0"},"canonical_sha256":"0bb7a1cc408ddfbc7b9ddfcdd245dc70da556a1ed2fc3cecce927f2a9e4edffb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:10.940411Z","signature_b64":"VBcADuL8eJUrMf4e0thHvc6CFxlmF8PN9NvAfSOZhFbphdmSCmeFl5lJnTdKa+RZUQupknve+Q82MI2U7GV/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bb7a1cc408ddfbc7b9ddfcdd245dc70da556a1ed2fc3cecce927f2a9e4edffb","last_reissued_at":"2026-05-18T03:27:10.939807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:10.939807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.6862","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":"2026-05-18T03:27:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+5Q5w1MZgkcNQ/vjb89YS3NU103/MGApuW5q6WHFloxjYi+m/VZpHYbYEjrSCWI+F28aDeNiXlH6+i9mFmMQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:24:36.147381Z"},"content_sha256":"c11c675e567c7c6ccfa170317564722fee1d82617bd0e91f91e1c3bcf3e017ec","schema_version":"1.0","event_id":"sha256:c11c675e567c7c6ccfa170317564722fee1d82617bd0e91f91e1c3bcf3e017ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BO32DTCARXP3Y64537G5ERO4OD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exponentiable approach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.GN","authors_text":"Dirk Hofmann, Gavin J. Seal","submitted_at":"2013-04-25T10:27:29Z","abstract_excerpt":"In this note we present a characterisation of exponentiable approach spaces in terms of ultrafilter convergence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6862","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":"2026-05-18T03:27:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twFeLVl8LeKMkHMFoF7lGxanUAph/Q6Nqlxwz/vu+Ovs5X69UiFhC1a6asdTs4unpKMP3GpmoX1P7dDMCcJ3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:24:36.147955Z"},"content_sha256":"95b6b56f011234057f674160ea23985c6f2f70bb7b44f9067139092146ccd969","schema_version":"1.0","event_id":"sha256:95b6b56f011234057f674160ea23985c6f2f70bb7b44f9067139092146ccd969"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BO32DTCARXP3Y64537G5ERO4OD/bundle.json","state_url":"https://pith.science/pith/BO32DTCARXP3Y64537G5ERO4OD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BO32DTCARXP3Y64537G5ERO4OD/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":"2026-05-27T00:24:36Z","links":{"resolver":"https://pith.science/pith/BO32DTCARXP3Y64537G5ERO4OD","bundle":"https://pith.science/pith/BO32DTCARXP3Y64537G5ERO4OD/bundle.json","state":"https://pith.science/pith/BO32DTCARXP3Y64537G5ERO4OD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BO32DTCARXP3Y64537G5ERO4OD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BO32DTCARXP3Y64537G5ERO4OD","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":"26a2426c7eefd2864093f03af3cdb03ec52051e6b5e93c32b785f45cea87344d","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-04-25T10:27:29Z","title_canon_sha256":"31a5f33b488b4a5f50e316c79dd4678c69a4ad7bb7713102842622570ef99277"},"schema_version":"1.0","source":{"id":"1304.6862","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6862","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6862v1","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6862","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"pith_short_12","alias_value":"BO32DTCARXP3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BO32DTCARXP3Y645","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BO32DTCA","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:95b6b56f011234057f674160ea23985c6f2f70bb7b44f9067139092146ccd969","target":"graph","created_at":"2026-05-18T03:27:10Z","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 present a characterisation of exponentiable approach spaces in terms of ultrafilter convergence.","authors_text":"Dirk Hofmann, Gavin J. Seal","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-04-25T10:27:29Z","title":"Exponentiable approach spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6862","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:c11c675e567c7c6ccfa170317564722fee1d82617bd0e91f91e1c3bcf3e017ec","target":"record","created_at":"2026-05-18T03:27:10Z","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":"26a2426c7eefd2864093f03af3cdb03ec52051e6b5e93c32b785f45cea87344d","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2013-04-25T10:27:29Z","title_canon_sha256":"31a5f33b488b4a5f50e316c79dd4678c69a4ad7bb7713102842622570ef99277"},"schema_version":"1.0","source":{"id":"1304.6862","kind":"arxiv","version":1}},"canonical_sha256":"0bb7a1cc408ddfbc7b9ddfcdd245dc70da556a1ed2fc3cecce927f2a9e4edffb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bb7a1cc408ddfbc7b9ddfcdd245dc70da556a1ed2fc3cecce927f2a9e4edffb","first_computed_at":"2026-05-18T03:27:10.939807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:10.939807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VBcADuL8eJUrMf4e0thHvc6CFxlmF8PN9NvAfSOZhFbphdmSCmeFl5lJnTdKa+RZUQupknve+Q82MI2U7GV/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:10.940411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6862","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c11c675e567c7c6ccfa170317564722fee1d82617bd0e91f91e1c3bcf3e017ec","sha256:95b6b56f011234057f674160ea23985c6f2f70bb7b44f9067139092146ccd969"],"state_sha256":"995bab66d9411d1179c8470f7b24770d932dc9c1c43a92c9f8b68a1d5fb3bc55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vu1t67eU9kuEJPS7L1ab1kX21VBfoxjZ7rWF2KUtL/c2xpZxGnUxBrFfGs1UrnF7L/RNrn1E+1MixWahCxx9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:24:36.150724Z","bundle_sha256":"17d63dddd6e3684b048641b1b71a80598901d487bb8991264e35c414b4703010"}}