{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WDA3OV7P5DSPOD4HNGFXCWGP2D","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":"aec8fdace3f2905f8d02fe1ce74ac0b90cc61f33daeb817f3dcd5f8cee671bca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-11T11:51:58Z","title_canon_sha256":"cef5943ddf282508a601b1267e67d67f49ecf4927b566d996bdb5220eef6d59d"},"schema_version":"1.0","source":{"id":"1907.05125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.05125","created_at":"2026-05-17T23:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1907.05125v1","created_at":"2026-05-17T23:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05125","created_at":"2026-05-17T23:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"WDA3OV7P5DSP","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WDA3OV7P5DSPOD4H","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WDA3OV7P","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:1bf689faea06fa85d57ebdeef8b55afe22d409fecbd5c901d41c5d3c4affdf0b","target":"graph","created_at":"2026-05-17T23:40:53Z","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 define a divisorial motivic zeta function for stable curves with marked points which agrees with Kapranov's motivic zeta function when the curve is smooth and unmarked. We show that this zeta function is rational, and give a formula in terms of the dual graph of the curve.","authors_text":"Madeline Brandt, Martin Ulirsch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-11T11:51:58Z","title":"Divisorial motivic zeta functions for marked stable curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05125","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":"sha256:96abd2e1118e562f499ce37130e1a9ee58d6a04be64850af145dc1f9641a0a2e","target":"record","created_at":"2026-05-17T23:40:53Z","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":"aec8fdace3f2905f8d02fe1ce74ac0b90cc61f33daeb817f3dcd5f8cee671bca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-11T11:51:58Z","title_canon_sha256":"cef5943ddf282508a601b1267e67d67f49ecf4927b566d996bdb5220eef6d59d"},"schema_version":"1.0","source":{"id":"1907.05125","kind":"arxiv","version":1}},"canonical_sha256":"b0c1b757efe8e4f70f87698b7158cfd0ee052cec9dfb4e1d567c89e1d15f2507","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0c1b757efe8e4f70f87698b7158cfd0ee052cec9dfb4e1d567c89e1d15f2507","first_computed_at":"2026-05-17T23:40:53.895139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:53.895139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5cGm12KbQV4Pr0EV/23WpCWB49qy9vcmzOsA1TCWG3CQbs7fXzhlZl4ettXNU9dVTDcchXsBjiQqgN/SJpElAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:53.895890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.05125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96abd2e1118e562f499ce37130e1a9ee58d6a04be64850af145dc1f9641a0a2e","sha256:1bf689faea06fa85d57ebdeef8b55afe22d409fecbd5c901d41c5d3c4affdf0b"],"state_sha256":"83fd4ce43657b12c400782fed29d7dfb42d3053b55edf3f3a5993a76087369fe"}