{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:TT7N5AYQFEL3B3CJJCI463QWKC","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":"19ae71100d17b227bc0026248d63a11e907a3a8f83ec68d6528f6ed467e0702e","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"1998-11-01T00:00:00Z","title_canon_sha256":"af8dd152c30edb9c571b6933e6145621570e877616abe6aa84ef9b9b0466074c"},"schema_version":"1.0","source":{"id":"math/9811182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9811182","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"arxiv_version","alias_value":"math/9811182v1","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9811182","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"pith_short_12","alias_value":"TT7N5AYQFEL3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"TT7N5AYQFEL3B3CJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"TT7N5AYQ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:43281b2e0b205d61260c762e2f9de5364504e8fde99670c3a33785ed43139765","target":"graph","created_at":"2026-05-18T01:05:33Z","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":"Consider the exterior M of a hyperbolic knot lying in a closed, connected, orientable 3-manifold. Culler and Shalen defined norm on H_1(dM;R) using the SL(2,C) character variety of pi_1(M). The Culler-Shalen norm encodes many topological properties of M; in particular it provides information about Dehn fillings of M. Their construction may be applied to arbitrary curves in the SL_2(C)-character variety of a connected, compact, orientable, irreducible 3-manifold whose boundary is a torus, though in this generality one can only guarantee that it will define a seminorm.\n  The first half of this p","authors_text":"Steven Boyer, Xingru Zhang","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"1998-11-01T00:00:00Z","title":"On Culler-Shalen seminorms and Dehn filling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9811182","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":"sha256:88c6ed0a78617810a4daadf764814e859c66a503a66782d49eb7c6dd72b22c95","target":"record","created_at":"2026-05-18T01:05:33Z","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":"19ae71100d17b227bc0026248d63a11e907a3a8f83ec68d6528f6ed467e0702e","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"1998-11-01T00:00:00Z","title_canon_sha256":"af8dd152c30edb9c571b6933e6145621570e877616abe6aa84ef9b9b0466074c"},"schema_version":"1.0","source":{"id":"math/9811182","kind":"arxiv","version":1}},"canonical_sha256":"9cfede83102917b0ec494891cf6e1650b1be6cbebdeca19983df14fc6efbbee6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9cfede83102917b0ec494891cf6e1650b1be6cbebdeca19983df14fc6efbbee6","first_computed_at":"2026-05-18T01:05:33.503714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:33.503714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YGTO4WHp8bwyi77fxr5/J8cO75kECjc8MjCCLeliBdR2gHx0FBLa9rCy6xLfiHUg+3x+eRwjzkwDZHxavqC6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:33.504301Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9811182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88c6ed0a78617810a4daadf764814e859c66a503a66782d49eb7c6dd72b22c95","sha256:43281b2e0b205d61260c762e2f9de5364504e8fde99670c3a33785ed43139765"],"state_sha256":"656cada8ac4cd7f67ca3685948381155391e6a4564472272993761ef428e4175"}