{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UI2DNFJC7R6FI6IT4AB5N62RUU","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":"0b1551068ee96c3d8426fcdfb9fc3e6d1b50497b3c85c01fc6573081535c9131","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-08T19:24:40Z","title_canon_sha256":"0cb8af32794681674018d03d0c4c00e9f884a932c8f4e2cc4c3e138f14cc5bf8"},"schema_version":"1.0","source":{"id":"1009.1611","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1611","created_at":"2026-05-18T01:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1611v2","created_at":"2026-05-18T01:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1611","created_at":"2026-05-18T01:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"UI2DNFJC7R6F","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UI2DNFJC7R6FI6IT","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UI2DNFJC","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:3556be2625081958f8ac04efa680feac41feee89e7970afbe7638eb63bf83ad8","target":"graph","created_at":"2026-05-18T01:30:15Z","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 propose a computation of real motivic zeta functions for real polynomial functions, using Newton polyhedron. As a consequence we show that the weights are blow-Nash invariants of convenient weighted homogeneous polynomials in three variables.","authors_text":"Goulwen Fichou (IRMAR), Toshizumi Fukui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-08T19:24:40Z","title":"Motivic invariant of real polynomial functions and Newton polyhedron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1611","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:b78eb68e153a86a5b589cca9437501f50337dbed42cfb5df992a6309cf6d8f5a","target":"record","created_at":"2026-05-18T01:30:15Z","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":"0b1551068ee96c3d8426fcdfb9fc3e6d1b50497b3c85c01fc6573081535c9131","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-08T19:24:40Z","title_canon_sha256":"0cb8af32794681674018d03d0c4c00e9f884a932c8f4e2cc4c3e138f14cc5bf8"},"schema_version":"1.0","source":{"id":"1009.1611","kind":"arxiv","version":2}},"canonical_sha256":"a234369522fc7c547913e003d6fb51a52d7d35bdd82b49fb13ccfcfba4649edf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a234369522fc7c547913e003d6fb51a52d7d35bdd82b49fb13ccfcfba4649edf","first_computed_at":"2026-05-18T01:30:15.957509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:15.957509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yJ8liLZkNqIo0tTN4D3FgxLd2LDhe3wGaG1C9MKK2lM1QW/gKMhMUDsIzwGkH9K3BW2InRqGOhtg93AOJWe4Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:15.958042Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1611","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b78eb68e153a86a5b589cca9437501f50337dbed42cfb5df992a6309cf6d8f5a","sha256:3556be2625081958f8ac04efa680feac41feee89e7970afbe7638eb63bf83ad8"],"state_sha256":"abac8a5301282b801f2c34197a2b2d20a3db15a7fd86f1618f5d267a2e9f2937"}