{"as_of":"2026-08-11T09:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1229110ee32489f2c4b56845c49a1597397c6270f64b58ac21afa17405e81443","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T11:47:42.534546Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T11:36:24.450687Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-03T07:57:44.512522Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"cited_work":{"arxiv_id":"2502.02569","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.02569","snapshot_observed_at":"2026-07-03T07:57:44.512522Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","venue":"math.AG","work_id":"264e1e40-41df-4895-a55e-ed8856d61931","year":2025},"citing_paper":{"arxiv_id":"2605.09107","last_updated":"2026-05-09T18:31:29Z","snapshot_observed_at":"2026-07-06T23:21:16.454273Z","submitted_at":"2026-05-09T18:31:29Z","title":"Merge-position invariance in quadratically enriched tropical floor diagrams","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-12T02:00:07.977624Z"},"links":{"cited_paper":"/paper/2502.02569","citing_paper":"/paper/2605.09107"},"observation_digest":"sha256:b6221a64985a0806dc11c7f08faae02ea48e8f3e6da5dcd71e50a23d672e615a","observation_id":"11244388-2b25-45ba-a4c0-7333cc7b3882","resolution":{"observed_at":"2026-07-01T02:17:15.494223Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"cited_work":{"arxiv_id":"2502.02569","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.02569","snapshot_observed_at":"2026-07-03T07:57:44.512522Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","venue":"math.AG","work_id":"264e1e40-41df-4895-a55e-ed8856d61931","year":2025},"citing_paper":{"arxiv_id":"2606.10830","last_updated":"2026-06-09T13:17:28Z","snapshot_observed_at":"2026-08-07T23:52:51.025808Z","submitted_at":"2026-06-09T13:17:28Z","title":"PCMI lecture notes: Motivic explorations in enumerative geometry","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-27T11:36:24.450687Z"},"links":{"cited_paper":"/paper/2502.02569","citing_paper":"/paper/2606.10830"},"observation_digest":"sha256:cd86d3526513e0e7aed7f5b8b21ef8692c93cbc6596fa393d180f40e713c9d82","observation_id":"00779f0d-338e-4c28-bf22-40a157eaaa43","resolution":{"observed_at":"2026-07-03T07:57:44.513841Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.02569/citation-record","integrity":"/paper/2502.02569/integrity","json":"/paper/2502.02569/citation-record.json","paper":"/paper/2502.02569"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.499206Z","title":"u lya Arg\\","venue":null,"work_id":"57462f13-c383-40df-9cdb-4efd3d70c4e3","year":2022},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.414931Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:2cb303ec8cac5febf68509eabd426eae5e69964f2e3afc63e428592eeb0f9114","observation_id":"df6e2c7e-7b61-4379-84c0-5fdb3c2e7415","resolution":{"observed_at":"2026-08-09T11:47:43.501676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.492052Z","title":"Stable logarithmic maps to D eligne- F altings pairs II","venue":null,"work_id":"eaa773e6-1264-465e-b8cf-883e8689cb61","year":2014},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.418690Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:70dce4d600566b3bee076a2923040adb065ad778c443105030819b214fb97f59","observation_id":"fdbcb9ec-b5f3-4a4e-854c-25d2dd13cb29","resolution":{"observed_at":"2026-08-09T11:47:43.495027Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0709.3705","last_updated":"2009-01-20T11:31:08Z","snapshot_observed_at":"2026-07-06T01:30:40.387519Z","submitted_at":"2007-09-24T08:16:12Z","title":"First Steps in Tropical Intersection Theory","version":3},"cited_work":{"arxiv_id":"0709.3705","doi":null,"metadata_source":"pith","pith_arxiv_id":"0709.3705","snapshot_observed_at":"2026-08-09T11:47:43.300621Z","title":"First Steps in Tropical Intersection Theory","venue":"math.AG","work_id":"93414bd7-3e02-40a6-b864-6343fe10f978","year":2007},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.422860Z"},"links":{"cited_paper":"/paper/0709.3705","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:e310bc78914bf9c9ff542e5da46ffb096c48d177ed68ea9fd6b854c4312fcc4d","observation_id":"005d1324-6b0a-4cb9-9df8-532024f1143e","resolution":{"observed_at":"2026-08-09T11:47:43.303356Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.485707Z","title":"Billera, Susan P","venue":null,"work_id":"0e501843-d282-4178-aaaf-93182c1ca94f","year":2001},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.427792Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:9a46154d14b238000ac91a36ce785027f1e78df913d55e212ec942c2d075e1bf","observation_id":"853e8287-d512-484d-a3d2-ca4b49def107","resolution":{"observed_at":"2026-08-09T11:47:43.487876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.479590Z","title":"Polynomiality properties of tropical refined invariants","venue":null,"work_id":"c49d7416-e4c6-4168-9cad-3c25d971e62a","year":2022},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.431862Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:cfb409c7a1cde09215f41073e0e5b8fcc76599451e4e351be4b3c21e1cf85c95","observation_id":"c526deae-912e-49b3-8dad-3c32e43a1af2","resolution":{"observed_at":"2026-08-09T11:47:43.481794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0812.3354","last_updated":"2019-07-01T09:51:22Z","snapshot_observed_at":"2026-07-06T01:47:38.115391Z","submitted_at":"2008-12-17T17:45:10Z","title":"Floor decompositions of tropical curves : the planar case","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0812.3354","snapshot_observed_at":"2026-08-09T11:47:42.434882Z","title":"Floor decompositions of tropical curves: the planar case","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.434882Z"},"links":{"cited_paper":"/paper/0812.3354","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:14d492e26945390d981f712f6dcc2e22b579b116c0d0d744e537efe3af23534a","observation_id":"39e87c66-a7c7-471c-ab58-677e21ad6a82","resolution":{"observed_at":"2026-08-09T11:47:42.434882Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.473102Z","title":"Floor diagrams relative to a conic, and GW - W invariants of del P ezzo surfaces","venue":null,"work_id":"8c34fbe4-2d53-44f7-8ee1-af3b22a0c9af","year":2015},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.437633Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:7de7397ba4ef5131eb3e30b93c4c91d2bb762a97d0bf887aceb8d99d49eb0042","observation_id":"fe7b83ca-4dba-497a-87ba-c01125ebb555","resolution":{"observed_at":"2026-08-09T11:47:43.475624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.465872Z","title":"A bit of tropical geometry","venue":null,"work_id":"3fbf46b4-2362-47a1-a445-8b98a1553a0d","year":2014},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.440313Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:3186932fa267ef17150fdbc83f21a2c2353c58a6ca7c11cb9b48535a8e413226","observation_id":"a9498448-5667-463f-a0d4-634c6042b83d","resolution":{"observed_at":"2026-08-09T11:47:43.468539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.458857Z","title":"Tropical and Logarithmic Methods in Enumerative Geometry , volume 52 of Oberwolfach Seminars","venue":null,"work_id":"5acad134-de01-4e9b-a3ac-faec2d2af229","year":2023},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.443117Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:3a74910723f6542fd575f5d80029fcdfbd9891a24bd6b24e244e4a66091764c7","observation_id":"10bc037e-d46d-4cc5-a1ee-10f77881a147","resolution":{"observed_at":"2026-08-09T11:47:43.461454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0004134","last_updated":"2000-04-20T19:59:21Z","snapshot_observed_at":"2026-07-07T05:22:49.944242Z","submitted_at":"2000-04-20T19:59:21Z","title":"Topological properties of real algebraic varieties: du c\\^ot\\'e de chez Rokhlin","version":1},"cited_work":{"arxiv_id":"math/0004134","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0004134","snapshot_observed_at":"2026-08-09T11:47:43.285006Z","title":"Topological properties of real algebraic varieties: du c\\^ot\\'e de chez Rokhlin","venue":"math.AG","work_id":"bb39c69f-7a97-42c0-9c9e-a573694371f6","year":2000},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.445788Z"},"links":{"cited_paper":"/paper/math/0004134","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:d1fc3cdad44692259a443f7af6d01005ff6c4b0a5d6d6e9b2da66c51d1ba75ab","observation_id":"f13e7756-d6f9-4147-ba52-b7aa7aff4c55","resolution":{"observed_at":"2026-08-09T11:47:43.287891Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0906.3828","last_updated":"2010-01-18T03:45:57Z","snapshot_observed_at":"2026-07-06T01:57:46.186756Z","submitted_at":"2009-06-20T20:43:26Z","title":"Labeled floor diagrams for plane curves","version":4},"cited_work":{"arxiv_id":"0906.3828","doi":null,"metadata_source":"pith","pith_arxiv_id":"0906.3828","snapshot_observed_at":"2026-08-09T11:47:43.275914Z","title":"Labeled floor diagrams for plane curves","venue":"math.AG","work_id":"5bf5cff2-1b9b-433b-ba66-405025764a91","year":2009},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.448953Z"},"links":{"cited_paper":"/paper/0906.3828","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:218f136df36dc1d586b1268fb2031bed59a935d84b9b3e5a19cd103f2621f705","observation_id":"f2f090af-85b2-4e70-bb7f-3539f73713cc","resolution":{"observed_at":"2026-08-09T11:47:43.278825Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0708.2268","last_updated":"2009-11-30T17:52:37Z","snapshot_observed_at":"2026-07-06T01:29:47.793956Z","submitted_at":"2007-08-16T19:00:58Z","title":"Tropical fans and the moduli spaces of tropical curves","version":2},"cited_work":{"arxiv_id":"0708.2268","doi":null,"metadata_source":"pith","pith_arxiv_id":"0708.2268","snapshot_observed_at":"2026-08-09T11:47:43.266452Z","title":"Tropical fans and the moduli spaces of tropical curves","venue":"math.AG","work_id":"a082835e-d39d-411e-a8ae-267794fcb8d4","year":2007},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.452451Z"},"links":{"cited_paper":"/paper/0708.2268","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:45f100dfcc1d4d0fc0bdb229da6025a8ce6ff43a0d538487737711b93eab1541","observation_id":"6ef3f404-20cd-47ff-9949-f13a8a75a7d5","resolution":{"observed_at":"2026-08-09T11:47:43.269262Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.257484Z","title":"Kontsevich's formula and the WDVV equations in tropical geometry","venue":null,"work_id":"1c30ed9b-fc67-494a-b4b9-659d969ef59f","year":2008},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.456501Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:6952c37766288775b864f5db8100c46b4168b47a1b07abdf94435706e2073acd","observation_id":"73a0a09a-b4a8-4bc0-9c9d-7f2d0af535e7","resolution":{"observed_at":"2026-08-09T11:47:43.260025Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.451854Z","title":"Cohomological invariants in Galois cohomology , volume 28 of Univ","venue":null,"work_id":"51e0e578-bcf2-445e-b303-82b4ef36e497","year":2003},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.459325Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:9be5d9ba0930af24ed641f12ad2c3cb06c3998fadb28dc721ca26f6b13745344","observation_id":"1dc16b0a-7fab-4e77-9a46-f565692a8660","resolution":{"observed_at":"2026-08-09T11:47:43.454604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.444682Z","title":"Correspondence theorems via tropicalizations of moduli spaces","venue":null,"work_id":"8df92faf-d5cf-48a9-8d1e-245273fd9479","year":2016},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.462152Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:b7e44d940da177ff83b414de9eeae0276ee12e7eba10e5298c79661d356b5935","observation_id":"4ce02fb3-351e-4d76-bfb6-cc7360200f4d","resolution":{"observed_at":"2026-08-09T11:47:43.447377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.437662Z","title":"Logarithmic G romov- W itten invariants","venue":null,"work_id":"92be8cdf-3466-404f-9a61-cb48ff96b2db","year":2013},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.465174Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:8ab54988d680d0e44508d3c6ccd7eeea6a9a5cee666737875a905ef28efdcbfa","observation_id":"12feea34-09f1-464f-8215-3a2141bd2f50","resolution":{"observed_at":"2026-08-09T11:47:43.440396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.430338Z","title":"Welschinger invariant and enumeration of real rational curves","venue":null,"work_id":"dbf22ce5-af8a-43fe-a0ee-eb0b8fc97edb","year":2003},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.467729Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:d0bdd46df5433006f5884bfa907d30e26b6f2c9dff83cb83ff82a0eee9cc82e6","observation_id":"f77e75e1-ea83-46d4-83fa-156cfb015ad7","resolution":{"observed_at":"2026-08-09T11:47:43.433062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.423320Z","title":null,"venue":null,"work_id":"b75594a0-c748-4358-a63e-67107281a00d","year":2004},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.469863Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:65cb2c3ac6bb69b7ffc8d7e9bdd42fa2f6889a2406fea48c5bd281d4000b77c2","observation_id":"f527bd95-3ae5-41ee-8987-f9fe7b924702","resolution":{"observed_at":"2026-08-09T11:47:43.425926Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.416174Z","title":"A C aporaso- H arris type formula for W elschinger invariants of real toric del P ezzo surfaces","venue":null,"work_id":"f4183e81-0845-4133-8ec5-fd4ddb09873a","year":2009},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.471807Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:f07abaf762b9a722b0c1a7cdbea642e6236f8e339d37290318db4fd98f2aa866","observation_id":"b10f2a3b-9c8b-4cb0-a91b-16d978d1601e","resolution":{"observed_at":"2026-08-09T11:47:43.418929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.409039Z","title":"Tropical algebraic geometry , volume 35 of Oberwolfach Seminars","venue":null,"work_id":"973c0ae2-7485-4b84-b177-05262ce5c186","year":2009},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.474493Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:10fbacdb4ed9402f1743ef354dc27db42ade54179a743c872442143a13b765ef","observation_id":"500d6afa-0f92-4078-a17f-75a3d41e3db1","resolution":{"observed_at":"2026-08-09T11:47:43.411754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17681","last_updated":"2025-02-04T18:41:41Z","snapshot_observed_at":"2026-07-06T17:51:02.529047Z","submitted_at":"2024-03-26T13:12:35Z","title":"A Wall Crossing Formula for Motivic Enumerative Invariants","version":3},"cited_work":{"arxiv_id":"2403.17681","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.17681","snapshot_observed_at":"2026-08-09T11:47:43.052966Z","title":"A Wall Crossing Formula for Motivic Enumerative Invariants","venue":"math.AG","work_id":"c55364dd-77d6-4504-a099-ecd8827d3aa4","year":2024},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.477069Z"},"links":{"cited_paper":"/paper/2403.17681","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:fb8e99161c1255fc6ddb533109a0e5e8ebda67b19bb53eee74940bfce2aa6ed6","observation_id":"e4b7fbd1-c426-4cfd-8955-7e48bcd4a506","resolution":{"observed_at":"2026-08-09T11:47:43.056077Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.12586","last_updated":"2024-09-23T17:13:38Z","snapshot_observed_at":"2026-07-06T16:22:09.775204Z","submitted_at":"2023-09-22T02:28:22Z","title":"Arithmetic Counts of Tropical Plane Curves and Their Properties","version":2},"cited_work":{"arxiv_id":"2309.12586","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.12586","snapshot_observed_at":"2026-08-09T11:47:43.042973Z","title":"Arithmetic Counts of Tropical Plane Curves and Their Properties","venue":"math.AG","work_id":"081902f1-451a-431c-b36a-b806aaeb16e7","year":2023},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.481113Z"},"links":{"cited_paper":"/paper/2309.12586","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:ec92029e1d86fec3716ae2da4718b7d94c920a6d4bb1230457129976046bb86b","observation_id":"8d6c5f6f-70ec-413e-bd61-bfcbac19ea18","resolution":{"observed_at":"2026-08-09T11:47:43.046047Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.00240","last_updated":"2024-09-26T14:42:54Z","snapshot_observed_at":"2026-08-11T01:23:15.742779Z","submitted_at":"2022-07-30T14:51:22Z","title":"Quadratically Enriched Tropical Intersections","version":2},"cited_work":{"arxiv_id":"2208.00240","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.00240","snapshot_observed_at":"2026-08-09T11:47:43.032601Z","title":"Quadratically Enriched Tropical Intersections","venue":"math.AG","work_id":"c9706a6b-51e2-446c-aff7-f3b542ab4781","year":2022},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.484527Z"},"links":{"cited_paper":"/paper/2208.00240","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:6538ac7a81914989afc8fd82bccfefffec5542f108e4fff5bb30a505a75dff64","observation_id":"84afb8fd-5baf-4032-b8b5-a32687a890fb","resolution":{"observed_at":"2026-08-09T11:47:43.035964Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.11706","last_updated":"2024-04-13T02:24:30Z","snapshot_observed_at":"2026-08-11T01:23:15.396183Z","submitted_at":"2023-09-21T01:08:48Z","title":"A Quadratically Enriched Correspondence Theorem","version":2},"cited_work":{"arxiv_id":"2309.11706","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.11706","snapshot_observed_at":"2026-08-09T11:47:43.022020Z","title":"A Quadratically Enriched Correspondence Theorem","venue":"math.AG","work_id":"f829d2bb-d59d-4e04-aeb4-34c2b525f0eb","year":2023},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.487482Z"},"links":{"cited_paper":"/paper/2309.11706","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:104bb9a9832942916328cfeeea99f675566ef162e5b972a23569a4fed65b17b2","observation_id":"bbc8a31b-e126-4603-ab32-03f673109127","resolution":{"observed_at":"2026-08-09T11:47:43.025108Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.402204Z","title":"Solomon, and Kirsten Wickelgren","venue":null,"work_id":"2b0f795d-da52-4b08-9279-eefc90bfd660","year":2023},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.491381Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:8a14748ac872aca6b408143a3ae9e3fcb472f2657c6ba23b43fffe9d7f55a11a","observation_id":"aabc718f-b31f-4099-beaf-203b63dfd5db","resolution":{"observed_at":"2026-08-09T11:47:43.404743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.394857Z","title":"Solomon, and Kirsten Wickelgren","venue":null,"work_id":"503a7645-63a8-415e-a327-92d6142da3d9","year":2023},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.494090Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:ea3568c66195ca3da5259a2927ac530574253c597ea384058cff64023b604b14","observation_id":"66407405-21c6-4234-8060-bd9ff96282f0","resolution":{"observed_at":"2026-08-09T11:47:43.397523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.388082Z","title":"Gromov-Witten classes, quantum cohomology and enumerative geometry","venue":null,"work_id":"f28a0620-7f31-4a3a-93b0-b6483706fee7","year":1994},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.497713Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:836d8b053d785c482f0ca6df7e68b6f80a0eb750c4fdbff7f7f2138a1203cae7","observation_id":"4dcbbdc6-759b-40bb-a156-4c6dcee21698","resolution":{"observed_at":"2026-08-09T11:47:43.390672Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.02238","last_updated":"2018-08-07T07:27:54Z","snapshot_observed_at":"2026-08-06T05:16:41.356917Z","submitted_at":"2018-08-07T07:27:54Z","title":"Toward an algebraic theory of Welschinger invariants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.02238","snapshot_observed_at":"2026-08-09T11:47:42.500309Z","title":"Toward an algebraic theory of Welschinger invariants","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.500309Z"},"links":{"cited_paper":"/paper/1808.02238","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:50ef452dc5cebad37fe7050e86001e09a71cd423d7214acf825f85bcfb552684","observation_id":"0abc73dd-b3b4-40d9-95fd-8ebcfc53c0be","resolution":{"observed_at":"2026-08-09T11:47:42.500309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.381056Z","title":"The enumeration of plane tropical curves","venue":null,"work_id":"e97cb975-e1c2-4e80-b78b-9ff267dfaf4b","year":2006},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.503054Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:55997b8f1f1e4fd3767ea34a9bda344574fff5891e163bd1b114a2048e40a185","observation_id":"30171388-48bb-40c2-b2be-70606c374e0f","resolution":{"observed_at":"2026-08-09T11:47:43.383648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.373555Z","title":"Enumerative tropical geometry in R ^2","venue":null,"work_id":"96c7cc1a-d23e-4d23-8a99-7a286208562d","year":2005},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.505545Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:9becc05ae309306211e41f719c646b535850aae9659d353d2bf7c813df155469","observation_id":"99f81e58-8360-4484-82a0-06122afd14b7","resolution":{"observed_at":"2026-08-09T11:47:43.376088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.366206Z","title":"Bitangents to plane quartics via tropical geometry: rationality, A ^1 -enumeration, and real signed count","venue":null,"work_id":"bd359def-aae0-43d3-8f43-8016ac1ef0c3","year":2023},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.508041Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:0909d8d0abfcf3e2a0a1f97301c6fbb50dd5c2042c992fa39e97fdfc290bcb7c","observation_id":"cd852ea6-ae46-4c6e-abaa-3721e594c515","resolution":{"observed_at":"2026-08-09T11:47:43.368966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.358786Z","title":"Descendant log G romov- W itten invariants for toric varieties and tropical curves","venue":null,"work_id":"19710306-54f2-4980-abac-a957f47c97f6","year":2020},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.510404Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:63f0548461ead6148165a88711d124fcbd5e0061aabdd3fac824fd5a59d52677","observation_id":"6e1be6a1-9dd3-4520-a833-f32e4adbd333","resolution":{"observed_at":"2026-08-09T11:47:43.361596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.004198Z","title":"Toric degenerations of toric varieties and tropical curves","venue":null,"work_id":"b6ba264f-9d9b-46a7-96e6-20491f30f536","year":2006},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.513015Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:81773ff1b3590e2cbdc7c0d7b0a561a4ed22d9c1dfc5766b05df89af0afc2fd4","observation_id":"a073fc1f-c2e6-405b-a069-506f7c95fd9a","resolution":{"observed_at":"2026-08-09T11:47:43.007309Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.03366","last_updated":"2025-02-21T14:43:23Z","snapshot_observed_at":"2026-08-09T10:31:26.694815Z","submitted_at":"2023-09-06T21:17:36Z","title":"Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic","version":3},"cited_work":{"arxiv_id":"2309.03366","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.03366","snapshot_observed_at":"2026-08-09T11:47:42.859592Z","title":"Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic","venue":"math.NT","work_id":"5ebae784-4792-42d0-a5b3-aefca3117702","year":2023},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.515706Z"},"links":{"cited_paper":"/paper/2309.03366","citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:3ecc838de47f2ba96c97e357e5d0b490131a2bb7c18630d9a094dd337603fa23","observation_id":"c2c7dc55-805b-42c9-a9be-eb9882e4c174","resolution":{"observed_at":"2026-08-09T11:47:42.862831Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.350569Z","title":"Skeletons of stable maps I : rational curves in toric varieties","venue":null,"work_id":"a0853fd3-2bcf-43b6-a91d-e7da2da0c948","year":2017},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.518332Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:1c62275b8d44afb274b0219cc482004fb1b19b229a6e9ee6ffb035692add75f6","observation_id":"000bceb0-7cf5-49c1-b108-c8e69440c468","resolution":{"observed_at":"2026-08-09T11:47:43.353744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.342591Z","title":"First steps in tropical geometry","venue":null,"work_id":"13a8287e-09cd-4ad5-b403-85fc0c6ebbaf","year":2005},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.520940Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:1aa42bff0ecb1d4333edbbab262a527921d3389e0960d87cd9845e3a44e5df8a","observation_id":"6b12ca39-0a13-46c3-9cb7-43ef1e09d546","resolution":{"observed_at":"2026-08-09T11:47:43.345465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:42.848265Z","title":"A tropical approach to enumerative geometry","venue":null,"work_id":"8e8e2f87-b0ca-4a22-87ab-950fe799e84e","year":2005},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.522906Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:7b2c447bf26c1fad667b71943b817f3aea0c71d113804744ebc1d05835f95e2c","observation_id":"58c29180-6671-45b5-837c-2316aaa0a7f0","resolution":{"observed_at":"2026-08-09T11:47:42.851279Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"mathag/0406099","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:42.673022Z","title":"A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces","venue":null,"work_id":"12f3fd5c-961a-4aad-b3d9-37d1c49e68c5","year":2006},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.524809Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:d0cb948c4ff4e22f19187198c2023d6320fb1006ea6449b1a39de3b75bd5a493","observation_id":"9c76fc84-6834-4e99-ae27-aa8f3e799b9a","resolution":{"observed_at":"2026-08-09T11:47:42.679170Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.334880Z","title":"The tropical Grassmannian","venue":null,"work_id":"265df9e3-9977-4447-9074-e6f129789b61","year":2004},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.526698Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:708bd290c02ca407e201b3418c75d2ac9cabc58dc6a3e9d3e725d12a99d29d14","observation_id":"8d1fa0b9-46d5-40f8-87df-b755c8ddcd89","resolution":{"observed_at":"2026-08-09T11:47:43.337815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.327400Z","title":"Tropical geometry and correspondence theorems via toric stacks","venue":null,"work_id":"b5601167-a6c3-4bef-9222-74a17dbe7b64","year":2012},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.528562Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:8e934a4c77f949c5d75d877641038236a149b02b316430703aeaa45f58a777ce","observation_id":"eb70d6ce-3f46-43cb-8438-d08aa031bc21","resolution":{"observed_at":"2026-08-09T11:47:43.330169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.319961Z","title":null,"venue":null,"work_id":"d0af3066-b71d-49e1-a52d-f0d47e9247eb","year":1989},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.530496Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:366bfa829ad62b35e07e42ae2463ae7d335efbd72e6b672d0fd21e3b7f070af9","observation_id":"bbaf22e9-72ec-4b5c-be7c-0b0309ec9b86","resolution":{"observed_at":"2026-08-09T11:47:43.322584Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:43.312266Z","title":"Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry","venue":null,"work_id":"35caa96f-e255-4d82-8519-ab9a9cac0682","year":2003},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.532487Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:c47a0833c40945330dd8c1cc44163ea7fd4f97144470d87d83dd1fea2977931c","observation_id":"1d90049f-c925-474f-b3ed-23aefc58c1eb","resolution":{"observed_at":"2026-08-09T11:47:43.315055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:47:42.534546Z","title":"Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry","version":4},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-09T11:47:42.534546Z"},"links":{"citing_paper":"/paper/2502.02569"},"observation_digest":"sha256:1458d2fe767758fa79625a839cac5cabae473f129b3cc832500d8b3a6799abae","observation_id":"6eec5b23-a2ff-4b96-8c29-27f955ba2ab8","resolution":{"observed_at":"2026-08-09T11:47:42.534546Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2502.02569","last_updated":"2026-06-30T12:54:21Z","latest_version":4,"primary_category":"math.AG","snapshot_observed_at":"2026-08-09T11:40:21.409331Z","submitted_at":"2025-02-04T18:44:57Z","title":"Quadratically Enriched Plane Curve Counting via Tropical Geometry"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":13,"verified_fuzzy":25},"total_outbound_references":43},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2502.02569."}