{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GU5UCFKZ5D7TZZE3MH3VSUTHZB","short_pith_number":"pith:GU5UCFKZ","canonical_record":{"source":{"id":"1910.13504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-10-29T19:59:46Z","cross_cats_sorted":[],"title_canon_sha256":"c73919e9d1efe33283c154de7b00a5eea49bf5383200a0f6df2b68a8fb43c110","abstract_canon_sha256":"591a65a291ed959b3590c614574b2a7552a9233b5a1408710311f5361416da18"},"schema_version":"1.0"},"canonical_sha256":"353b411559e8ff3ce49b61f7595267c867ec6fe50f624c194f492bd3ad4ac36d","source":{"kind":"arxiv","id":"1910.13504","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.13504","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1910.13504v1","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.13504","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"GU5UCFKZ5D7T","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"pith_short_16","alias_value":"GU5UCFKZ5D7TZZE3","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"pith_short_8","alias_value":"GU5UCFKZ","created_at":"2026-07-05T00:15:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GU5UCFKZ5D7TZZE3MH3VSUTHZB","target":"record","payload":{"canonical_record":{"source":{"id":"1910.13504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-10-29T19:59:46Z","cross_cats_sorted":[],"title_canon_sha256":"c73919e9d1efe33283c154de7b00a5eea49bf5383200a0f6df2b68a8fb43c110","abstract_canon_sha256":"591a65a291ed959b3590c614574b2a7552a9233b5a1408710311f5361416da18"},"schema_version":"1.0"},"canonical_sha256":"353b411559e8ff3ce49b61f7595267c867ec6fe50f624c194f492bd3ad4ac36d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:15:52.739256Z","signature_b64":"vzcfwbUkeHZ1i+qa6exkndbhex5ia0C5aaK4vnA7/jPLzYUjWqRFzqhs6yqk3noSb0vJBHOzRs3VNIY5gVB6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"353b411559e8ff3ce49b61f7595267c867ec6fe50f624c194f492bd3ad4ac36d","last_reissued_at":"2026-07-05T00:15:52.738858Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:15:52.738858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.13504","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":"2026-07-05T00:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uYRtWrouL2bIhpkAD3q8vRX86l47VwIREtc4iLoV/tfIrtFZC07wFWceqpFaAucwcknzNdbhmgJhFB+KvztBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:05:38.816649Z"},"content_sha256":"e5324da1b79edfbe7a725f73824a473d767f675cb9e66b273849d034e88ee168","schema_version":"1.0","event_id":"sha256:e5324da1b79edfbe7a725f73824a473d767f675cb9e66b273849d034e88ee168"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GU5UCFKZ5D7TZZE3MH3VSUTHZB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An NIP structure which does not interpret an infinite group but whose Shelah expansion interprets an infinite field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Erik Walsberg","submitted_at":"2019-10-29T19:59:46Z","abstract_excerpt":"We describe one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.13504","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/1910.13504/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":"2026-07-05T00:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wiXYzZn0+41QrWhqAkn0J+4kaUUcZWxUA7djmEDCOpnPG3mmCQqI1EirvEgF+LPzB+x+LI4R2werfDEyiAU5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:05:38.817133Z"},"content_sha256":"25def8d1fd2c989f4e09d12f28216bfdc02c3d164e658866f58bfc9f136d530d","schema_version":"1.0","event_id":"sha256:25def8d1fd2c989f4e09d12f28216bfdc02c3d164e658866f58bfc9f136d530d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GU5UCFKZ5D7TZZE3MH3VSUTHZB/bundle.json","state_url":"https://pith.science/pith/GU5UCFKZ5D7TZZE3MH3VSUTHZB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GU5UCFKZ5D7TZZE3MH3VSUTHZB/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":"2026-08-10T07:05:38Z","links":{"resolver":"https://pith.science/pith/GU5UCFKZ5D7TZZE3MH3VSUTHZB","bundle":"https://pith.science/pith/GU5UCFKZ5D7TZZE3MH3VSUTHZB/bundle.json","state":"https://pith.science/pith/GU5UCFKZ5D7TZZE3MH3VSUTHZB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GU5UCFKZ5D7TZZE3MH3VSUTHZB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GU5UCFKZ5D7TZZE3MH3VSUTHZB","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":"591a65a291ed959b3590c614574b2a7552a9233b5a1408710311f5361416da18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-10-29T19:59:46Z","title_canon_sha256":"c73919e9d1efe33283c154de7b00a5eea49bf5383200a0f6df2b68a8fb43c110"},"schema_version":"1.0","source":{"id":"1910.13504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.13504","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1910.13504v1","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.13504","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"GU5UCFKZ5D7T","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"pith_short_16","alias_value":"GU5UCFKZ5D7TZZE3","created_at":"2026-07-05T00:15:52Z"},{"alias_kind":"pith_short_8","alias_value":"GU5UCFKZ","created_at":"2026-07-05T00:15:52Z"}],"graph_snapshots":[{"event_id":"sha256:25def8d1fd2c989f4e09d12f28216bfdc02c3d164e658866f58bfc9f136d530d","target":"graph","created_at":"2026-07-05T00:15:52Z","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/1910.13504/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe one.","authors_text":"Erik Walsberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-10-29T19:59:46Z","title":"An NIP structure which does not interpret an infinite group but whose Shelah expansion interprets an infinite field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.13504","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:e5324da1b79edfbe7a725f73824a473d767f675cb9e66b273849d034e88ee168","target":"record","created_at":"2026-07-05T00:15:52Z","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":"591a65a291ed959b3590c614574b2a7552a9233b5a1408710311f5361416da18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-10-29T19:59:46Z","title_canon_sha256":"c73919e9d1efe33283c154de7b00a5eea49bf5383200a0f6df2b68a8fb43c110"},"schema_version":"1.0","source":{"id":"1910.13504","kind":"arxiv","version":1}},"canonical_sha256":"353b411559e8ff3ce49b61f7595267c867ec6fe50f624c194f492bd3ad4ac36d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"353b411559e8ff3ce49b61f7595267c867ec6fe50f624c194f492bd3ad4ac36d","first_computed_at":"2026-07-05T00:15:52.738858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:15:52.738858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vzcfwbUkeHZ1i+qa6exkndbhex5ia0C5aaK4vnA7/jPLzYUjWqRFzqhs6yqk3noSb0vJBHOzRs3VNIY5gVB6Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:15:52.739256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.13504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5324da1b79edfbe7a725f73824a473d767f675cb9e66b273849d034e88ee168","sha256:25def8d1fd2c989f4e09d12f28216bfdc02c3d164e658866f58bfc9f136d530d"],"state_sha256":"fbcd675f7d588ff2bdc0962ad41c67c4dde0e1457ff5a317a910ee0ce1c59bb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"op7eYvjoDSgv5+9Kjbff3GJNuQl0FVY+73ZnBftL0KlaPD9cnt4xRHSvftKwGTVx13zjU+vd7uQDw327kl3kDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T07:05:38.820655Z","bundle_sha256":"469da7db960154ec2f6270de1e99dcbc4eec7f985cdfe822d02539863448b1d5"}}