{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:KO2UWED37NYORXMBCKO7XJLCLZ","short_pith_number":"pith:KO2UWED3","canonical_record":{"source":{"id":"math/0107188","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CT","submitted_at":"2001-07-25T23:05:53Z","cross_cats_sorted":["math.AG","math.AT","math.QA"],"title_canon_sha256":"a313846192c855c3c4f4415e0dbf14d331a296847207863ecca95f0f358dc7df","abstract_canon_sha256":"94d5481d7b99c337aaf70c54290d15bb70482ee49e7adbeedc387ddb4a709f12"},"schema_version":"1.0"},"canonical_sha256":"53b54b107bfb70e8dd81129dfba5625e6cd817d57cc66120e2cea33c81801580","source":{"kind":"arxiv","id":"math/0107188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0107188","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"math/0107188v1","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0107188","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"KO2UWED37NYO","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"pith_short_16","alias_value":"KO2UWED37NYORXMB","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"pith_short_8","alias_value":"KO2UWED3","created_at":"2026-07-04T17:21:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:KO2UWED37NYORXMBCKO7XJLCLZ","target":"record","payload":{"canonical_record":{"source":{"id":"math/0107188","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CT","submitted_at":"2001-07-25T23:05:53Z","cross_cats_sorted":["math.AG","math.AT","math.QA"],"title_canon_sha256":"a313846192c855c3c4f4415e0dbf14d331a296847207863ecca95f0f358dc7df","abstract_canon_sha256":"94d5481d7b99c337aaf70c54290d15bb70482ee49e7adbeedc387ddb4a709f12"},"schema_version":"1.0"},"canonical_sha256":"53b54b107bfb70e8dd81129dfba5625e6cd817d57cc66120e2cea33c81801580","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:21:16.823775Z","signature_b64":"jgvWWfQ5LVRJPbIlJs9BYFcUvMyB+0/KU6hZz5XNVhxPo6D8269LU3kKLQU1LYFkhQIbUO+8UqetTyEzbn3MBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53b54b107bfb70e8dd81129dfba5625e6cd817d57cc66120e2cea33c81801580","last_reissued_at":"2026-07-04T17:21:16.823275Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:21:16.823275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0107188","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":"2026-07-04T17:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bhMS1niF92NVYr+ZWBKjYotU8qkRDKmpU42zWo1Zmtb8AABxRBmUdJ7j475uwHGxWraNu68B2FdqMwahfmRBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:36:58.836217Z"},"content_sha256":"cb5012ad6d535eac8783ba663737c06c268b6c6d6e0aa309898995d48369032f","schema_version":"1.0","event_id":"sha256:cb5012ad6d535eac8783ba663737c06c268b6c6d6e0aa309898995d48369032f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:KO2UWED37NYORXMBCKO7XJLCLZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Survey of Definitions of n-Category","license":"","headline":"","cross_cats":["math.AG","math.AT","math.QA"],"primary_cat":"math.CT","authors_text":"Tom Leinster","submitted_at":"2001-07-25T23:05:53Z","abstract_excerpt":"Many people have proposed definitions of `weak n-category'. Ten of them are presented here. Each definition is given in two pages, with a further two pages on what happens when n = 0, 1, or 2. The definitions can be read independently. Chatty bibliography follows."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0107188","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/math/0107188/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":"2026-07-04T17:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MjY3hCwSdKoVN4oRxGyij+j+xxy1t5tqW0GMDkYAAssXtdmncxyO9KHxln2M/g7N1f+Pdw1Amk2hvtnLOo97BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:36:58.836586Z"},"content_sha256":"ecda2bb9a7147492dab29b86ce6989dc61e9558bfe8519b3ca436e04af6eb1a0","schema_version":"1.0","event_id":"sha256:ecda2bb9a7147492dab29b86ce6989dc61e9558bfe8519b3ca436e04af6eb1a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KO2UWED37NYORXMBCKO7XJLCLZ/bundle.json","state_url":"https://pith.science/pith/KO2UWED37NYORXMBCKO7XJLCLZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KO2UWED37NYORXMBCKO7XJLCLZ/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":"2026-08-04T02:36:58Z","links":{"resolver":"https://pith.science/pith/KO2UWED37NYORXMBCKO7XJLCLZ","bundle":"https://pith.science/pith/KO2UWED37NYORXMBCKO7XJLCLZ/bundle.json","state":"https://pith.science/pith/KO2UWED37NYORXMBCKO7XJLCLZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KO2UWED37NYORXMBCKO7XJLCLZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:KO2UWED37NYORXMBCKO7XJLCLZ","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":"94d5481d7b99c337aaf70c54290d15bb70482ee49e7adbeedc387ddb4a709f12","cross_cats_sorted":["math.AG","math.AT","math.QA"],"license":"","primary_cat":"math.CT","submitted_at":"2001-07-25T23:05:53Z","title_canon_sha256":"a313846192c855c3c4f4415e0dbf14d331a296847207863ecca95f0f358dc7df"},"schema_version":"1.0","source":{"id":"math/0107188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0107188","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"math/0107188v1","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0107188","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"KO2UWED37NYO","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"pith_short_16","alias_value":"KO2UWED37NYORXMB","created_at":"2026-07-04T17:21:16Z"},{"alias_kind":"pith_short_8","alias_value":"KO2UWED3","created_at":"2026-07-04T17:21:16Z"}],"graph_snapshots":[{"event_id":"sha256:ecda2bb9a7147492dab29b86ce6989dc61e9558bfe8519b3ca436e04af6eb1a0","target":"graph","created_at":"2026-07-04T17:21:16Z","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/math/0107188/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many people have proposed definitions of `weak n-category'. Ten of them are presented here. Each definition is given in two pages, with a further two pages on what happens when n = 0, 1, or 2. The definitions can be read independently. Chatty bibliography follows.","authors_text":"Tom Leinster","cross_cats":["math.AG","math.AT","math.QA"],"headline":"","license":"","primary_cat":"math.CT","submitted_at":"2001-07-25T23:05:53Z","title":"A Survey of Definitions of n-Category"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0107188","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:cb5012ad6d535eac8783ba663737c06c268b6c6d6e0aa309898995d48369032f","target":"record","created_at":"2026-07-04T17:21:16Z","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":"94d5481d7b99c337aaf70c54290d15bb70482ee49e7adbeedc387ddb4a709f12","cross_cats_sorted":["math.AG","math.AT","math.QA"],"license":"","primary_cat":"math.CT","submitted_at":"2001-07-25T23:05:53Z","title_canon_sha256":"a313846192c855c3c4f4415e0dbf14d331a296847207863ecca95f0f358dc7df"},"schema_version":"1.0","source":{"id":"math/0107188","kind":"arxiv","version":1}},"canonical_sha256":"53b54b107bfb70e8dd81129dfba5625e6cd817d57cc66120e2cea33c81801580","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53b54b107bfb70e8dd81129dfba5625e6cd817d57cc66120e2cea33c81801580","first_computed_at":"2026-07-04T17:21:16.823275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:21:16.823275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jgvWWfQ5LVRJPbIlJs9BYFcUvMyB+0/KU6hZz5XNVhxPo6D8269LU3kKLQU1LYFkhQIbUO+8UqetTyEzbn3MBg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:21:16.823775Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0107188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb5012ad6d535eac8783ba663737c06c268b6c6d6e0aa309898995d48369032f","sha256:ecda2bb9a7147492dab29b86ce6989dc61e9558bfe8519b3ca436e04af6eb1a0"],"state_sha256":"3887169df54626126a8930d240091e4778b426283dc4f011736afbbace74957a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yD7w59/FsIpdnVr8ODyFO3LHgFNt4bc20y+ihZ0fsnhB8gfRFC066IFcW6BM0YnJkeZNHBJX4ElcnrVR9qmMDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T02:36:58.839280Z","bundle_sha256":"712edd73b0d4ccfe9cdfe7fc2304386000655453590a14b396d5591937245450"}}