{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UVLTSDE6D5I3IONL46QK3QVPMX","short_pith_number":"pith:UVLTSDE6","canonical_record":{"source":{"id":"1601.00488","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-01-04T13:08:58Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"d44c4d26f5e3bd30c0be6b4ff6c24554b8481449c42efed0a010a4e8acd8defc","abstract_canon_sha256":"4fd76b51bbcaaeca465771142c4bd0c8689bc48410378febffea966980f4449d"},"schema_version":"1.0"},"canonical_sha256":"a557390c9e1f51b439abe7a0adc2af65c325290cc45290c507d18b8bde9266cf","source":{"kind":"arxiv","id":"1601.00488","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00488","created_at":"2026-05-18T01:23:27Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00488v1","created_at":"2026-05-18T01:23:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00488","created_at":"2026-05-18T01:23:27Z"},{"alias_kind":"pith_short_12","alias_value":"UVLTSDE6D5I3","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UVLTSDE6D5I3IONL","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UVLTSDE6","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UVLTSDE6D5I3IONL46QK3QVPMX","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00488","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-01-04T13:08:58Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"d44c4d26f5e3bd30c0be6b4ff6c24554b8481449c42efed0a010a4e8acd8defc","abstract_canon_sha256":"4fd76b51bbcaaeca465771142c4bd0c8689bc48410378febffea966980f4449d"},"schema_version":"1.0"},"canonical_sha256":"a557390c9e1f51b439abe7a0adc2af65c325290cc45290c507d18b8bde9266cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:27.276738Z","signature_b64":"1nYyA7KbNoyzFNcO5DnUEXsPyigQVLA4a1lTENmA3MBu75fmSfoosRGqq2bSY4CQdM1KUDQ33N+UzZVgCjVyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a557390c9e1f51b439abe7a0adc2af65c325290cc45290c507d18b8bde9266cf","last_reissued_at":"2026-05-18T01:23:27.276269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:27.276269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00488","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":"2026-05-18T01:23:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2uCUpDSJr5CUHQXUN4outMLkzWSB0l0t7ZdkQS0hzdJw48CP/kIbQ5GHMdaoSSB2f6uenMjGRpInDDHdpJ8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:20:33.913522Z"},"content_sha256":"25464785b0f596bd00d4a20bac4544973be9487616c959c2c004a1fb2ac9846a","schema_version":"1.0","event_id":"sha256:25464785b0f596bd00d4a20bac4544973be9487616c959c2c004a1fb2ac9846a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UVLTSDE6D5I3IONL46QK3QVPMX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non Standard Analysis as a Functor, as Local, as Iterated","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.LO","authors_text":"Eliahu Levy","submitted_at":"2016-01-04T13:08:58Z","abstract_excerpt":"This note has several aims. Firstly, it portrays a non-standard analysis as a functor, namely a functor * that maps any set A to the set *A of its non-standard elements. That functor, from the category of sets to itself, is postulated to be an equivalence on the full subcategory of finite sets onto itself and to preserve finite projective limits (equivalently, to preserve finite products and equalizers). Secondly, \"Local\" non-standard analysis is introduced as a structure which I call lim-rim, in particular exact lim-rims. The interplay between these, and ultrafilters and ultrapowers, and also"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00488","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":"2026-05-18T01:23:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"brSo0Ex+xLTg+mjABjzsbzd5F9JdtDwXvX1iMUexrO2AypQcAUeEsca0USHEz3bWPG5vvUS2t1jXbRSAlnGDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:20:33.914158Z"},"content_sha256":"1d1212636f62344b30ddf4ad30ac768455bef146218257186c2f8ff3bcc0c717","schema_version":"1.0","event_id":"sha256:1d1212636f62344b30ddf4ad30ac768455bef146218257186c2f8ff3bcc0c717"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UVLTSDE6D5I3IONL46QK3QVPMX/bundle.json","state_url":"https://pith.science/pith/UVLTSDE6D5I3IONL46QK3QVPMX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UVLTSDE6D5I3IONL46QK3QVPMX/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":"2026-05-27T20:20:33Z","links":{"resolver":"https://pith.science/pith/UVLTSDE6D5I3IONL46QK3QVPMX","bundle":"https://pith.science/pith/UVLTSDE6D5I3IONL46QK3QVPMX/bundle.json","state":"https://pith.science/pith/UVLTSDE6D5I3IONL46QK3QVPMX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UVLTSDE6D5I3IONL46QK3QVPMX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UVLTSDE6D5I3IONL46QK3QVPMX","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":"4fd76b51bbcaaeca465771142c4bd0c8689bc48410378febffea966980f4449d","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-01-04T13:08:58Z","title_canon_sha256":"d44c4d26f5e3bd30c0be6b4ff6c24554b8481449c42efed0a010a4e8acd8defc"},"schema_version":"1.0","source":{"id":"1601.00488","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00488","created_at":"2026-05-18T01:23:27Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00488v1","created_at":"2026-05-18T01:23:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00488","created_at":"2026-05-18T01:23:27Z"},{"alias_kind":"pith_short_12","alias_value":"UVLTSDE6D5I3","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UVLTSDE6D5I3IONL","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UVLTSDE6","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:1d1212636f62344b30ddf4ad30ac768455bef146218257186c2f8ff3bcc0c717","target":"graph","created_at":"2026-05-18T01:23:27Z","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":"This note has several aims. Firstly, it portrays a non-standard analysis as a functor, namely a functor * that maps any set A to the set *A of its non-standard elements. That functor, from the category of sets to itself, is postulated to be an equivalence on the full subcategory of finite sets onto itself and to preserve finite projective limits (equivalently, to preserve finite products and equalizers). Secondly, \"Local\" non-standard analysis is introduced as a structure which I call lim-rim, in particular exact lim-rims. The interplay between these, and ultrafilters and ultrapowers, and also","authors_text":"Eliahu Levy","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-01-04T13:08:58Z","title":"Non Standard Analysis as a Functor, as Local, as Iterated"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00488","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":"sha256:25464785b0f596bd00d4a20bac4544973be9487616c959c2c004a1fb2ac9846a","target":"record","created_at":"2026-05-18T01:23:27Z","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":"4fd76b51bbcaaeca465771142c4bd0c8689bc48410378febffea966980f4449d","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-01-04T13:08:58Z","title_canon_sha256":"d44c4d26f5e3bd30c0be6b4ff6c24554b8481449c42efed0a010a4e8acd8defc"},"schema_version":"1.0","source":{"id":"1601.00488","kind":"arxiv","version":1}},"canonical_sha256":"a557390c9e1f51b439abe7a0adc2af65c325290cc45290c507d18b8bde9266cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a557390c9e1f51b439abe7a0adc2af65c325290cc45290c507d18b8bde9266cf","first_computed_at":"2026-05-18T01:23:27.276269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:27.276269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1nYyA7KbNoyzFNcO5DnUEXsPyigQVLA4a1lTENmA3MBu75fmSfoosRGqq2bSY4CQdM1KUDQ33N+UzZVgCjVyDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:27.276738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00488","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25464785b0f596bd00d4a20bac4544973be9487616c959c2c004a1fb2ac9846a","sha256:1d1212636f62344b30ddf4ad30ac768455bef146218257186c2f8ff3bcc0c717"],"state_sha256":"a426e87bbc89750cc4dadab2f57011cb034530758b290903d4bbce015166b66f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTtdqtlxLbjPN27zDIHl/QdaYwC+FftJGxgzyR+lM0NAPNosQuntsrQ757S0Uan8+kuhH5KhevHO1uLublIEDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:20:33.917260Z","bundle_sha256":"cc64e407e4b62ea9a43e95eb53f7de6e42050395aa4a1cb2e88eb3f7c22f20b6"}}