{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HSBHSJN4G4ZF2VFXGPPJQNJFS3","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":"c81b5f9a3c8475b9e91db23b90ce927cc6489f88f83525160ed62ee0667af611","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-18T19:00:06Z","title_canon_sha256":"75f718a815e376a8b9d60b4072963eba16ca0e440fbdf3eb4f721b93d509b90d"},"schema_version":"1.0","source":{"id":"1412.6001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6001","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6001v2","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6001","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"HSBHSJN4G4ZF","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HSBHSJN4G4ZF2VFX","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HSBHSJN4","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:94e904e1331d21938e6a274b0947a14dd077f373d969c1c7537ad5154545325f","target":"graph","created_at":"2026-05-18T01:35:56Z","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":"We present a technique for approximating generic normalization constants subject to constraints. The method is then applied to derive the exact asymptotics for the conditional normalization constant of constrained exponential random graphs.","authors_text":"Mei Yin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-18T19:00:06Z","title":"Large deviations and exact asymptotics for constrained exponential random graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6001","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":"sha256:7b629e77f58018dca792592f4dd6765678f559de3b4ba97cb4d7d2dde9f5681a","target":"record","created_at":"2026-05-18T01:35:56Z","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":"c81b5f9a3c8475b9e91db23b90ce927cc6489f88f83525160ed62ee0667af611","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-18T19:00:06Z","title_canon_sha256":"75f718a815e376a8b9d60b4072963eba16ca0e440fbdf3eb4f721b93d509b90d"},"schema_version":"1.0","source":{"id":"1412.6001","kind":"arxiv","version":2}},"canonical_sha256":"3c827925bc37325d54b733de98352596d869630fdbc589662b1a31569fd41f19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c827925bc37325d54b733de98352596d869630fdbc589662b1a31569fd41f19","first_computed_at":"2026-05-18T01:35:56.998026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:56.998026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qXZJ9Yt/KkdNo297IH26ji68eHUOAWHhe8iDW0wRCteXanZpPat6vLpDTlXYjgRILXw9T4AW3nTGhr3l3xjiDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:56.998549Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b629e77f58018dca792592f4dd6765678f559de3b4ba97cb4d7d2dde9f5681a","sha256:94e904e1331d21938e6a274b0947a14dd077f373d969c1c7537ad5154545325f"],"state_sha256":"c5c64364f50e0cfff0bdb8e23b700f7ba3bd61a3a3cc1f8524832bf58e4d0dda"}