{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:VWIR4SSS7HDTUHW5LTBO5BQTJD","short_pith_number":"pith:VWIR4SSS","canonical_record":{"source":{"id":"2304.12602","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-04-25T06:21:30Z","cross_cats_sorted":["cs.LG","math.AG","math.CO"],"title_canon_sha256":"3b89e52d795f197a79635408f04990d14467c68bbf9ffa4bf6c2f8cd5c775fb7","abstract_canon_sha256":"718b9a77bd764bf9cfa574e2283c606e0b5b8007cac99794e67b77cd908c39fc"},"schema_version":"1.0"},"canonical_sha256":"ad911e4a52f9c73a1edd5cc2ee861348d9d1951ec28c8e20eede8199671b5c46","source":{"kind":"arxiv","id":"2304.12602","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.12602","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"2304.12602v2","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.12602","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"VWIR4SSS7HDT","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"pith_short_16","alias_value":"VWIR4SSS7HDTUHW5","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"pith_short_8","alias_value":"VWIR4SSS","created_at":"2026-07-05T06:14:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:VWIR4SSS7HDTUHW5LTBO5BQTJD","target":"record","payload":{"canonical_record":{"source":{"id":"2304.12602","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-04-25T06:21:30Z","cross_cats_sorted":["cs.LG","math.AG","math.CO"],"title_canon_sha256":"3b89e52d795f197a79635408f04990d14467c68bbf9ffa4bf6c2f8cd5c775fb7","abstract_canon_sha256":"718b9a77bd764bf9cfa574e2283c606e0b5b8007cac99794e67b77cd908c39fc"},"schema_version":"1.0"},"canonical_sha256":"ad911e4a52f9c73a1edd5cc2ee861348d9d1951ec28c8e20eede8199671b5c46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:14:09.733089Z","signature_b64":"nCFqk726sn1bL3XsMZ7L7L8TS8tS7qqf3OPiFEGDI64fymMXGnRruDT5k+nOsB/G01vyJAqiWv/NnZnS/puDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad911e4a52f9c73a1edd5cc2ee861348d9d1951ec28c8e20eede8199671b5c46","last_reissued_at":"2026-07-05T06:14:09.732629Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:14:09.732629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.12602","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6PVLYAR7gw2irqHbYZJq11A0g0mdN4m8A5xl//Bu5kJ5m4+NAKrXDvFoXdfqgebgsnfRwnmaAMsfotfivNiNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:20:54.184683Z"},"content_sha256":"08cee12f415101618cc5a976b6122825ac3f8d2d04f63bf77041def66cc9ee87","schema_version":"1.0","event_id":"sha256:08cee12f415101618cc5a976b6122825ac3f8d2d04f63bf77041def66cc9ee87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:VWIR4SSS7HDTUHW5LTBO5BQTJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Is deep learning a useful tool for the pure mathematician?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.AG","math.CO"],"primary_cat":"math.RT","authors_text":"Geordie Williamson","submitted_at":"2023-04-25T06:21:30Z","abstract_excerpt":"A personal and informal account of what a pure mathematician might expect when using tools from deep learning in their research."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.12602","kind":"arxiv","version":2},"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/2304.12602/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":"2026-07-05T06:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p2RSKrgT4yf4XfYm18EJbP9SJJN66VEa0BynvrygJ24iRU474JE3zHBwTSLhc274mQKM6AgkDUz8TBy1dHFBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:20:54.185627Z"},"content_sha256":"9b85f912cd632923f024eac69079fe0487281a1592033f715170d786197d02b7","schema_version":"1.0","event_id":"sha256:9b85f912cd632923f024eac69079fe0487281a1592033f715170d786197d02b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWIR4SSS7HDTUHW5LTBO5BQTJD/bundle.json","state_url":"https://pith.science/pith/VWIR4SSS7HDTUHW5LTBO5BQTJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWIR4SSS7HDTUHW5LTBO5BQTJD/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":"2026-08-09T02:20:54Z","links":{"resolver":"https://pith.science/pith/VWIR4SSS7HDTUHW5LTBO5BQTJD","bundle":"https://pith.science/pith/VWIR4SSS7HDTUHW5LTBO5BQTJD/bundle.json","state":"https://pith.science/pith/VWIR4SSS7HDTUHW5LTBO5BQTJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWIR4SSS7HDTUHW5LTBO5BQTJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:VWIR4SSS7HDTUHW5LTBO5BQTJD","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":"718b9a77bd764bf9cfa574e2283c606e0b5b8007cac99794e67b77cd908c39fc","cross_cats_sorted":["cs.LG","math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-04-25T06:21:30Z","title_canon_sha256":"3b89e52d795f197a79635408f04990d14467c68bbf9ffa4bf6c2f8cd5c775fb7"},"schema_version":"1.0","source":{"id":"2304.12602","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.12602","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"2304.12602v2","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.12602","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"VWIR4SSS7HDT","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"pith_short_16","alias_value":"VWIR4SSS7HDTUHW5","created_at":"2026-07-05T06:14:09Z"},{"alias_kind":"pith_short_8","alias_value":"VWIR4SSS","created_at":"2026-07-05T06:14:09Z"}],"graph_snapshots":[{"event_id":"sha256:9b85f912cd632923f024eac69079fe0487281a1592033f715170d786197d02b7","target":"graph","created_at":"2026-07-05T06:14:09Z","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/2304.12602/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A personal and informal account of what a pure mathematician might expect when using tools from deep learning in their research.","authors_text":"Geordie Williamson","cross_cats":["cs.LG","math.AG","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-04-25T06:21:30Z","title":"Is deep learning a useful tool for the pure mathematician?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.12602","kind":"arxiv","version":2},"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":"sha256:08cee12f415101618cc5a976b6122825ac3f8d2d04f63bf77041def66cc9ee87","target":"record","created_at":"2026-07-05T06:14:09Z","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":"718b9a77bd764bf9cfa574e2283c606e0b5b8007cac99794e67b77cd908c39fc","cross_cats_sorted":["cs.LG","math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-04-25T06:21:30Z","title_canon_sha256":"3b89e52d795f197a79635408f04990d14467c68bbf9ffa4bf6c2f8cd5c775fb7"},"schema_version":"1.0","source":{"id":"2304.12602","kind":"arxiv","version":2}},"canonical_sha256":"ad911e4a52f9c73a1edd5cc2ee861348d9d1951ec28c8e20eede8199671b5c46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad911e4a52f9c73a1edd5cc2ee861348d9d1951ec28c8e20eede8199671b5c46","first_computed_at":"2026-07-05T06:14:09.732629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:14:09.732629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nCFqk726sn1bL3XsMZ7L7L8TS8tS7qqf3OPiFEGDI64fymMXGnRruDT5k+nOsB/G01vyJAqiWv/NnZnS/puDAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:14:09.733089Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.12602","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08cee12f415101618cc5a976b6122825ac3f8d2d04f63bf77041def66cc9ee87","sha256:9b85f912cd632923f024eac69079fe0487281a1592033f715170d786197d02b7"],"state_sha256":"a4fce0194cfb96d0643bb6f213a10f7d343236bc7a70716c8d51a9004349394c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6QgrMkKrSn9Rd4dBG84AGsJ2WuXoIjzXL10tFrhGCz/HRgn7dR3FZmd21t7Ap0kl/DOKsvjOGkiYoXjFI9+PBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T02:20:54.192244Z","bundle_sha256":"f9bb2eee32ac47c5f9f5f4ddc329b2c6b89e29a5f4c10e3e84d23a0795068d34"}}