{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EXJFABGTMD7U6V6VA5G2IVQR5R","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":"46016593076e67e9700a8e773c24763cbd2b93d337a17719da1bc8a207aa9f1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2026-02-09T03:08:08Z","title_canon_sha256":"64429526cc15aaec4d9fe6943abb0f523ae4570593059afd8ccc83f98ff695f3"},"schema_version":"1.0","source":{"id":"2602.08231","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.08231","created_at":"2026-05-26T02:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"2602.08231v2","created_at":"2026-05-26T02:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.08231","created_at":"2026-05-26T02:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"EXJFABGTMD7U","created_at":"2026-05-26T02:04:05Z"},{"alias_kind":"pith_short_16","alias_value":"EXJFABGTMD7U6V6V","created_at":"2026-05-26T02:04:05Z"},{"alias_kind":"pith_short_8","alias_value":"EXJFABGT","created_at":"2026-05-26T02:04:05Z"}],"graph_snapshots":[{"event_id":"sha256:3d31189c497a2e84fd0efb764cb102c51ebc36a171b7cd0f4f8248564562f1da","target":"graph","created_at":"2026-05-26T02:04:05Z","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/2602.08231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We partially update Grossman's 2005 survey of patterns in mathematical research using a sample of 401 profiles from MathSciNet. The mathematical landscape has changed substantially: single-paper authors have reduced from $43$ \\% to $32.42$ \\%, collaboration has intensified, and the giant component of the co-authorship network has grown denser, with median Erd\\H{o}s number dropping from $5$ to $4$. The data reveal the profession as markedly more collaborative, particularly among younger generations, although the tail of high productivity has also grown more extreme.","authors_text":"Octavio A. Agust\\'in-Aquino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2026-02-09T03:08:08Z","title":"Some Patterns of Research in Mathematics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.08231","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:e0b606e4833f9f3285c17ddb6b3278c138b2fa53bff30beed2a315ab4c414fb5","target":"record","created_at":"2026-05-26T02:04:05Z","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":"46016593076e67e9700a8e773c24763cbd2b93d337a17719da1bc8a207aa9f1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2026-02-09T03:08:08Z","title_canon_sha256":"64429526cc15aaec4d9fe6943abb0f523ae4570593059afd8ccc83f98ff695f3"},"schema_version":"1.0","source":{"id":"2602.08231","kind":"arxiv","version":2}},"canonical_sha256":"25d25004d360ff4f57d5074da45611ec443cddaf35c3c11891c9923ac40d4ac1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25d25004d360ff4f57d5074da45611ec443cddaf35c3c11891c9923ac40d4ac1","first_computed_at":"2026-05-26T02:04:05.574411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:05.574411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aW+lbCHooHiUF7AnkjnbfuJVOXkg6w9KIoOH+rVCXNgH2qLg0AP9ypd1U20IcW303mV6SHzkn7dT8xOUSB2jBQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:05.575412Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.08231","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0b606e4833f9f3285c17ddb6b3278c138b2fa53bff30beed2a315ab4c414fb5","sha256:3d31189c497a2e84fd0efb764cb102c51ebc36a171b7cd0f4f8248564562f1da"],"state_sha256":"9ee0e304998dd7341ad9cfc8295b9e08bab84f6fc97b1f70643895bed1c144ad"}