{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:73334CXOZL3VKMNHXJP4L26NV6","short_pith_number":"pith:73334CXO","canonical_record":{"source":{"id":"1206.3439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-06-15T12:18:07Z","cross_cats_sorted":[],"title_canon_sha256":"db292f1a2afc69cfe89534fbfb689ba83fa784ad86f0c3aacc041e65cbc975de","abstract_canon_sha256":"1e54b2ddf0e4d35097620200061a0e0aca2c38fb33addac05fff343ad35fbe30"},"schema_version":"1.0"},"canonical_sha256":"fef7be0aeecaf75531a7ba5fc5ebcdaf967e9350939bddac391bce03500d359e","source":{"kind":"arxiv","id":"1206.3439","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3439","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3439v1","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3439","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"pith_short_12","alias_value":"73334CXOZL3V","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"73334CXOZL3VKMNH","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"73334CXO","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:73334CXOZL3VKMNHXJP4L26NV6","target":"record","payload":{"canonical_record":{"source":{"id":"1206.3439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-06-15T12:18:07Z","cross_cats_sorted":[],"title_canon_sha256":"db292f1a2afc69cfe89534fbfb689ba83fa784ad86f0c3aacc041e65cbc975de","abstract_canon_sha256":"1e54b2ddf0e4d35097620200061a0e0aca2c38fb33addac05fff343ad35fbe30"},"schema_version":"1.0"},"canonical_sha256":"fef7be0aeecaf75531a7ba5fc5ebcdaf967e9350939bddac391bce03500d359e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:30.293161Z","signature_b64":"oCmdNdm8Y7depsRMStMdtN1bQQeo8ohtcclW5UjmRUGOGGWQCSDrDKbtr5xf0EkBA3EQKbrv0RWyXem+BQqMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fef7be0aeecaf75531a7ba5fc5ebcdaf967e9350939bddac391bce03500d359e","last_reissued_at":"2026-05-18T03:53:30.292494Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:30.292494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.3439","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":"2026-05-18T03:53:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AMk67AS5NLnkGIImKwhRnBFa18AiJto2KeJ3UIOGCx75bblbh65tSa3G8x0FGVC6PtX7K1zJxdks2v9zMTeJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T03:22:02.074523Z"},"content_sha256":"7d0c7a8a6400ef4075184a85f6ec1f0e2fb2eeecbd559ef746501fdcefc3d1af","schema_version":"1.0","event_id":"sha256:7d0c7a8a6400ef4075184a85f6ec1f0e2fb2eeecbd559ef746501fdcefc3d1af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:73334CXOZL3VKMNHXJP4L26NV6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pure morphisms are effective for modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Bachuki Mesablishvili","submitted_at":"2012-06-15T12:18:07Z","abstract_excerpt":"Yet another proof of the result asserting that a morphism of commutative rings is an effective descent morphism for modules if and only if it is pure is given. Moreover, it is shown that this result cannot be derived from Moerdijk's descent criterion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3439","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":"2026-05-18T03:53:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nkw0MbGLzUP6PbqnMI44c9rKylLNBNIfnglCZmxtcwrhw7nJGFwkW8yjg7QpBoiRT/vatgaCEFYRq3WC7ncHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T03:22:02.074860Z"},"content_sha256":"edb96a72e8899b46db3d7945e5a970649dcb37b9489be6093f97902ce6af9604","schema_version":"1.0","event_id":"sha256:edb96a72e8899b46db3d7945e5a970649dcb37b9489be6093f97902ce6af9604"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73334CXOZL3VKMNHXJP4L26NV6/bundle.json","state_url":"https://pith.science/pith/73334CXOZL3VKMNHXJP4L26NV6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73334CXOZL3VKMNHXJP4L26NV6/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":"2026-06-22T03:22:02Z","links":{"resolver":"https://pith.science/pith/73334CXOZL3VKMNHXJP4L26NV6","bundle":"https://pith.science/pith/73334CXOZL3VKMNHXJP4L26NV6/bundle.json","state":"https://pith.science/pith/73334CXOZL3VKMNHXJP4L26NV6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73334CXOZL3VKMNHXJP4L26NV6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:73334CXOZL3VKMNHXJP4L26NV6","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":"1e54b2ddf0e4d35097620200061a0e0aca2c38fb33addac05fff343ad35fbe30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-06-15T12:18:07Z","title_canon_sha256":"db292f1a2afc69cfe89534fbfb689ba83fa784ad86f0c3aacc041e65cbc975de"},"schema_version":"1.0","source":{"id":"1206.3439","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3439","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3439v1","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3439","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"pith_short_12","alias_value":"73334CXOZL3V","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"73334CXOZL3VKMNH","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"73334CXO","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:edb96a72e8899b46db3d7945e5a970649dcb37b9489be6093f97902ce6af9604","target":"graph","created_at":"2026-05-18T03:53:30Z","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":"Yet another proof of the result asserting that a morphism of commutative rings is an effective descent morphism for modules if and only if it is pure is given. Moreover, it is shown that this result cannot be derived from Moerdijk's descent criterion.","authors_text":"Bachuki Mesablishvili","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-06-15T12:18:07Z","title":"Pure morphisms are effective for modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3439","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":"sha256:7d0c7a8a6400ef4075184a85f6ec1f0e2fb2eeecbd559ef746501fdcefc3d1af","target":"record","created_at":"2026-05-18T03:53:30Z","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":"1e54b2ddf0e4d35097620200061a0e0aca2c38fb33addac05fff343ad35fbe30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-06-15T12:18:07Z","title_canon_sha256":"db292f1a2afc69cfe89534fbfb689ba83fa784ad86f0c3aacc041e65cbc975de"},"schema_version":"1.0","source":{"id":"1206.3439","kind":"arxiv","version":1}},"canonical_sha256":"fef7be0aeecaf75531a7ba5fc5ebcdaf967e9350939bddac391bce03500d359e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fef7be0aeecaf75531a7ba5fc5ebcdaf967e9350939bddac391bce03500d359e","first_computed_at":"2026-05-18T03:53:30.292494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:30.292494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oCmdNdm8Y7depsRMStMdtN1bQQeo8ohtcclW5UjmRUGOGGWQCSDrDKbtr5xf0EkBA3EQKbrv0RWyXem+BQqMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:30.293161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.3439","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d0c7a8a6400ef4075184a85f6ec1f0e2fb2eeecbd559ef746501fdcefc3d1af","sha256:edb96a72e8899b46db3d7945e5a970649dcb37b9489be6093f97902ce6af9604"],"state_sha256":"9e7923fe59015a4442d7a55279b25b0e7984ec598a604bc1289a344659769f7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ikA4g7zK99JSCjxIwWB57XoJG+T/64kR6cDXh8Dhgi+FN5tHo+ILDsX6WoMztKwE5gimGeTqb1lSSqNcx1BBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T03:22:02.076762Z","bundle_sha256":"00678ceb470ef844351b6472764f57e3a2315cebe1a354f76d9930a382f667eb"}}