{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ZXE6ZG7B7WYIBDYVG5HTLBYEH7","short_pith_number":"pith:ZXE6ZG7B","canonical_record":{"source":{"id":"1411.6936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T17:35:59Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"948de86faef40f77dfd6667b1f9caf5bff166ac89739fb5e8ecb62f3f1e7003a","abstract_canon_sha256":"584c972c238f10292de9b9141ebfac7e46cc1f148dfe83821e1b20a499027235"},"schema_version":"1.0"},"canonical_sha256":"cdc9ec9be1fdb0808f15374f3587043ff910766c474ead56bb60190ccc3ab5d9","source":{"kind":"arxiv","id":"1411.6936","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6936","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6936v1","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6936","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZXE6ZG7B7WYI","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZXE6ZG7B7WYIBDYV","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZXE6ZG7B","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ZXE6ZG7B7WYIBDYVG5HTLBYEH7","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T17:35:59Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"948de86faef40f77dfd6667b1f9caf5bff166ac89739fb5e8ecb62f3f1e7003a","abstract_canon_sha256":"584c972c238f10292de9b9141ebfac7e46cc1f148dfe83821e1b20a499027235"},"schema_version":"1.0"},"canonical_sha256":"cdc9ec9be1fdb0808f15374f3587043ff910766c474ead56bb60190ccc3ab5d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:46.917014Z","signature_b64":"/3kY618/dDm6BrO3LCNhu7IEXvDA5Dakxwz5dQIOvT5U9zmqBujRkTDZ/V7mGpVeCQLObGIuR1azVcSendjIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdc9ec9be1fdb0808f15374f3587043ff910766c474ead56bb60190ccc3ab5d9","last_reissued_at":"2026-05-18T02:32:46.916398Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:46.916398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6936","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":"2026-05-18T02:32:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dV+NBFv2ustajFCu7ZfkHymSHWHavFnWEy4LL7/5ima4lHEcY4ZkVdWof4hnDLQ9tR3O8COgFq3Zj1e4ZQQtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T02:26:17.426703Z"},"content_sha256":"5f508ea137db25c0392f4e7c87fde5627fee75bd0c4dada65a614c7346d19daf","schema_version":"1.0","event_id":"sha256:5f508ea137db25c0392f4e7c87fde5627fee75bd0c4dada65a614c7346d19daf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ZXE6ZG7B7WYIBDYVG5HTLBYEH7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"La th\\'eorie de l'homotopie des 2-cat\\'egories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Jonathan Chiche","submitted_at":"2014-11-25T17:35:59Z","abstract_excerpt":"On d\\'eveloppe une th\\'eorie de l'homotopie des 2-cat\\'egories analogue \\`a la th\\'eorie de l'homotopie des cat\\'egories d\\'evelopp\\'ee par Grothendieck dans \"\\`A la poursuite des champs\". Il s'agit de la th\\`ese de doctorat de l'auteur.\n  We develop a homotopy theory of 2-categories analogous to Grothendieck's homotopy theory of categories developed in \"Pursuing Stacks.\" This is the author's PhD thesis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6936","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":"2026-05-18T02:32:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3iVzOQeXg2f0tXEo5Opi0kjLx8t3gNONPf5YmEQ87mahdx/07PGUbKsEI0AGoxKECitergy7WqxxZ9BLLLirAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T02:26:17.427223Z"},"content_sha256":"2980a027995da930b3f6a7ee570b029973d5e9eaa6257a10a0b23c06883c9c64","schema_version":"1.0","event_id":"sha256:2980a027995da930b3f6a7ee570b029973d5e9eaa6257a10a0b23c06883c9c64"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZXE6ZG7B7WYIBDYVG5HTLBYEH7/bundle.json","state_url":"https://pith.science/pith/ZXE6ZG7B7WYIBDYVG5HTLBYEH7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZXE6ZG7B7WYIBDYVG5HTLBYEH7/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":"2026-08-13T02:26:17Z","links":{"resolver":"https://pith.science/pith/ZXE6ZG7B7WYIBDYVG5HTLBYEH7","bundle":"https://pith.science/pith/ZXE6ZG7B7WYIBDYVG5HTLBYEH7/bundle.json","state":"https://pith.science/pith/ZXE6ZG7B7WYIBDYVG5HTLBYEH7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZXE6ZG7B7WYIBDYVG5HTLBYEH7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZXE6ZG7B7WYIBDYVG5HTLBYEH7","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":"584c972c238f10292de9b9141ebfac7e46cc1f148dfe83821e1b20a499027235","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T17:35:59Z","title_canon_sha256":"948de86faef40f77dfd6667b1f9caf5bff166ac89739fb5e8ecb62f3f1e7003a"},"schema_version":"1.0","source":{"id":"1411.6936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6936","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6936v1","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6936","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZXE6ZG7B7WYI","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZXE6ZG7B7WYIBDYV","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZXE6ZG7B","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:2980a027995da930b3f6a7ee570b029973d5e9eaa6257a10a0b23c06883c9c64","target":"graph","created_at":"2026-05-18T02:32:46Z","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":"On d\\'eveloppe une th\\'eorie de l'homotopie des 2-cat\\'egories analogue \\`a la th\\'eorie de l'homotopie des cat\\'egories d\\'evelopp\\'ee par Grothendieck dans \"\\`A la poursuite des champs\". Il s'agit de la th\\`ese de doctorat de l'auteur.\n  We develop a homotopy theory of 2-categories analogous to Grothendieck's homotopy theory of categories developed in \"Pursuing Stacks.\" This is the author's PhD thesis.","authors_text":"Jonathan Chiche","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T17:35:59Z","title":"La th\\'eorie de l'homotopie des 2-cat\\'egories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6936","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":"sha256:5f508ea137db25c0392f4e7c87fde5627fee75bd0c4dada65a614c7346d19daf","target":"record","created_at":"2026-05-18T02:32:46Z","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":"584c972c238f10292de9b9141ebfac7e46cc1f148dfe83821e1b20a499027235","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T17:35:59Z","title_canon_sha256":"948de86faef40f77dfd6667b1f9caf5bff166ac89739fb5e8ecb62f3f1e7003a"},"schema_version":"1.0","source":{"id":"1411.6936","kind":"arxiv","version":1}},"canonical_sha256":"cdc9ec9be1fdb0808f15374f3587043ff910766c474ead56bb60190ccc3ab5d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdc9ec9be1fdb0808f15374f3587043ff910766c474ead56bb60190ccc3ab5d9","first_computed_at":"2026-05-18T02:32:46.916398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:46.916398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/3kY618/dDm6BrO3LCNhu7IEXvDA5Dakxwz5dQIOvT5U9zmqBujRkTDZ/V7mGpVeCQLObGIuR1azVcSendjIAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:46.917014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f508ea137db25c0392f4e7c87fde5627fee75bd0c4dada65a614c7346d19daf","sha256:2980a027995da930b3f6a7ee570b029973d5e9eaa6257a10a0b23c06883c9c64"],"state_sha256":"2a84158580e27308b5db6c2b550dc754d74b78cb40574b82af1753785d538104"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3nFCHkRqRjVn8F2gwuTRODonjj6hAAVbciEk8y5hn+NTXZfhrW7/5gy5qIPE/8I2cggL1VShtFLZPKFB2lkcDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T02:26:17.431836Z","bundle_sha256":"462a36195d13f9b48298cd6dfcc56daca8beaa7935258aa7ee620b7046016cb6"}}