{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:U3QKWP6ZZ7NVMOI2OMEQZWRONR","short_pith_number":"pith:U3QKWP6Z","canonical_record":{"source":{"id":"1702.02595","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T19:45:14Z","cross_cats_sorted":[],"title_canon_sha256":"3a8a5d53ecb580d1b35f5cc38d6ac4546766ffd437bd092fb38ea2d73e726bc9","abstract_canon_sha256":"e45f1f9dde0c6dd12a45da761ddfbe348fa97abca49908cf89a192bbe931947c"},"schema_version":"1.0"},"canonical_sha256":"a6e0ab3fd9cfdb56391a73090cda2e6c5f7a14b9636d5315c215992193a24632","source":{"kind":"arxiv","id":"1702.02595","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02595","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02595v4","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02595","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"U3QKWP6ZZ7NV","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"pith_short_16","alias_value":"U3QKWP6ZZ7NVMOI2","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"pith_short_8","alias_value":"U3QKWP6Z","created_at":"2026-07-05T04:07:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:U3QKWP6ZZ7NVMOI2OMEQZWRONR","target":"record","payload":{"canonical_record":{"source":{"id":"1702.02595","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T19:45:14Z","cross_cats_sorted":[],"title_canon_sha256":"3a8a5d53ecb580d1b35f5cc38d6ac4546766ffd437bd092fb38ea2d73e726bc9","abstract_canon_sha256":"e45f1f9dde0c6dd12a45da761ddfbe348fa97abca49908cf89a192bbe931947c"},"schema_version":"1.0"},"canonical_sha256":"a6e0ab3fd9cfdb56391a73090cda2e6c5f7a14b9636d5315c215992193a24632","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:07:34.776428Z","signature_b64":"+JxluUfSbgD2DxNjW6wK8RYprYEm0sGqbmgvEdTTowy3r8wxVMAXsjwTHzXFdPrHfsxXJv++4r+2yHCjmigBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6e0ab3fd9cfdb56391a73090cda2e6c5f7a14b9636d5315c215992193a24632","last_reissued_at":"2026-07-05T04:07:34.775985Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:07:34.775985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.02595","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KUrCNb+1DXqrc0WnN/xYUSuhzDUFBfa5b7mLw9LHj22KGdUinzo+OfmoohlfvyzWc2We5/XUW70oasrwhfr+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T01:49:59.913024Z"},"content_sha256":"4dd12910abec1a22ee01ee2c9c3fea29b4ab853838a6468dd3d7a607c7c7f760","schema_version":"1.0","event_id":"sha256:4dd12910abec1a22ee01ee2c9c3fea29b4ab853838a6468dd3d7a607c7c7f760"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:U3QKWP6ZZ7NVMOI2OMEQZWRONR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Localities I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alex Gonzalez, Andy Chermak","submitted_at":"2017-02-08T19:45:14Z","abstract_excerpt":"This is part I of a three-part series of papers, whose aim is to develop a theory of discrete localities. These generalize the p-local compact groups of Broto, Levi, and Oliver."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02595","kind":"arxiv","version":4},"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/1702.02595/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":"2026-07-05T04:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d5TiganvuhxvlSNkwbXZZrEiZNhfb1apj4FG4gtVY3M8qS5LwlFB49iY7J+I98kVCAC1ifaxe3JzLhyvwlBaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T01:49:59.913505Z"},"content_sha256":"e727758aee72ae3855dca4fb551f889e2e053ce1f2610afd319ffa74a7061e91","schema_version":"1.0","event_id":"sha256:e727758aee72ae3855dca4fb551f889e2e053ce1f2610afd319ffa74a7061e91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U3QKWP6ZZ7NVMOI2OMEQZWRONR/bundle.json","state_url":"https://pith.science/pith/U3QKWP6ZZ7NVMOI2OMEQZWRONR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U3QKWP6ZZ7NVMOI2OMEQZWRONR/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":"2026-08-10T01:49:59Z","links":{"resolver":"https://pith.science/pith/U3QKWP6ZZ7NVMOI2OMEQZWRONR","bundle":"https://pith.science/pith/U3QKWP6ZZ7NVMOI2OMEQZWRONR/bundle.json","state":"https://pith.science/pith/U3QKWP6ZZ7NVMOI2OMEQZWRONR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U3QKWP6ZZ7NVMOI2OMEQZWRONR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U3QKWP6ZZ7NVMOI2OMEQZWRONR","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":"e45f1f9dde0c6dd12a45da761ddfbe348fa97abca49908cf89a192bbe931947c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T19:45:14Z","title_canon_sha256":"3a8a5d53ecb580d1b35f5cc38d6ac4546766ffd437bd092fb38ea2d73e726bc9"},"schema_version":"1.0","source":{"id":"1702.02595","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02595","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02595v4","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02595","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"U3QKWP6ZZ7NV","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"pith_short_16","alias_value":"U3QKWP6ZZ7NVMOI2","created_at":"2026-07-05T04:07:34Z"},{"alias_kind":"pith_short_8","alias_value":"U3QKWP6Z","created_at":"2026-07-05T04:07:34Z"}],"graph_snapshots":[{"event_id":"sha256:e727758aee72ae3855dca4fb551f889e2e053ce1f2610afd319ffa74a7061e91","target":"graph","created_at":"2026-07-05T04:07:34Z","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/1702.02595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is part I of a three-part series of papers, whose aim is to develop a theory of discrete localities. These generalize the p-local compact groups of Broto, Levi, and Oliver.","authors_text":"Alex Gonzalez, Andy Chermak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T19:45:14Z","title":"Discrete Localities I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02595","kind":"arxiv","version":4},"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":"sha256:4dd12910abec1a22ee01ee2c9c3fea29b4ab853838a6468dd3d7a607c7c7f760","target":"record","created_at":"2026-07-05T04:07:34Z","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":"e45f1f9dde0c6dd12a45da761ddfbe348fa97abca49908cf89a192bbe931947c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T19:45:14Z","title_canon_sha256":"3a8a5d53ecb580d1b35f5cc38d6ac4546766ffd437bd092fb38ea2d73e726bc9"},"schema_version":"1.0","source":{"id":"1702.02595","kind":"arxiv","version":4}},"canonical_sha256":"a6e0ab3fd9cfdb56391a73090cda2e6c5f7a14b9636d5315c215992193a24632","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6e0ab3fd9cfdb56391a73090cda2e6c5f7a14b9636d5315c215992193a24632","first_computed_at":"2026-07-05T04:07:34.775985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:07:34.775985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+JxluUfSbgD2DxNjW6wK8RYprYEm0sGqbmgvEdTTowy3r8wxVMAXsjwTHzXFdPrHfsxXJv++4r+2yHCjmigBAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:07:34.776428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02595","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dd12910abec1a22ee01ee2c9c3fea29b4ab853838a6468dd3d7a607c7c7f760","sha256:e727758aee72ae3855dca4fb551f889e2e053ce1f2610afd319ffa74a7061e91"],"state_sha256":"61fdb2656cef80c7abe808939b33d82f270784ae20a3d2a80b30f8c2170d1061"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2RMlWEiSoUO3HLKpkyVM4UobV/sYWunXBuQxHv0fvyiqyIAgRu9Oj/+q2LQBgBNE2lpOibhfXbiWuXUoRMKiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T01:49:59.918505Z","bundle_sha256":"ea9dd8b48b8ffaf9773e8d44c8b5fa4b5032494c31f62c613f41fa475ecf3d7d"}}