{"as_of":"2026-08-10T18:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:89651e6f3d7f083d2adf93fead1c052fce72330f41b8fca45a68cf19a0b40d78","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T10:27:41.491949Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2509.04172/citation-record","integrity":"/paper/2509.04172/integrity","json":"/paper/2509.04172/citation-record.json","paper":"/paper/2509.04172"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:27:41.958006Z","title":"Recursive formula for W elschinger invariants","venue":null,"work_id":"8dd26fc3-f483-47a2-9655-d63bc92dd928","year":2011},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.382316Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:2bbbf5bef2ea6cf84afbb6350ac44b54cb084c536d5dff06d8982fecf638a543","observation_id":"b3babd2c-cdaf-4a91-921d-8b83da0feb4d","resolution":{"observed_at":"2026-08-05T10:27:41.960929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.949554Z","title":"Stable maps and H urwitz schemes in mixed characteristics","venue":null,"work_id":"f4809d5b-26b5-435d-8ed9-9f9bd04e8296","year":2000},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.386582Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:380889b1ff4146dd853fe8210e372cbcdf370d9b0b917e03f8e2ef94287bd7d9","observation_id":"0c5c01c7-1631-484a-ae1b-e24ede26aa7e","resolution":{"observed_at":"2026-08-05T10:27:41.952613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.940919Z","title":"Gromov-- W itten invariants in algebraic geometry","venue":null,"work_id":"02aed2b0-29ff-485c-b065-8625b14a87fc","year":1997},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.390124Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:2b46f1842a9fcf78790fd8ff9d50097d41dfad528c32d202454aed485519072b","observation_id":"1bd0137f-fc51-4085-9655-6e8c5cdbb415","resolution":{"observed_at":"2026-08-05T10:27:41.944180Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.931872Z","title":"Pencils of quadrics and G romov- W itten- W elschinger invariants of C P ^3","venue":null,"work_id":"e14a12f5-3dd1-4880-9e06-02c37a95915e","year":2016},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.393482Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:24460832d39fee884f28f1109cd832ca70b4f13fc48c51e69d4b63b6f64ec3c9","observation_id":"de0ca02d-72e6-423d-93bd-27e5ecf733d3","resolution":{"observed_at":"2026-08-05T10:27:41.934945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.922952Z","title":"Rational curves on del pezzo surfaces in positive characteristic","venue":null,"work_id":"37ecc613-903c-4d63-a15e-a3fc7199c6bf","year":2023},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.397500Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:56cbe9791a294530f9dc782fd88b4ee575574fd511182c201792b5aa737517f6","observation_id":"fd0ef118-4145-4252-9946-ea90d8c6e8df","resolution":{"observed_at":"2026-08-05T10:27:41.926242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.914171Z","title":"Stacks of stable maps and G romov-- W itten invariants","venue":null,"work_id":"8c40bd02-6761-4529-bd70-68739d69e2d8","year":1996},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.400830Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:9ee95f0e64c72697d1669315942efd51bb4609a9139ee00f3b7ea890b85e2543","observation_id":"c65f9a73-695e-424a-87e3-5f89190c25b4","resolution":{"observed_at":"2026-08-05T10:27:41.917174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.905521Z","title":"okova geometry-topology conference, G\\","venue":null,"work_id":"74bfa023-5491-49dc-92d1-ab76129f83af","year":2008},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.404169Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:e008d8aafc23eda506ab81525394bee3440ca5cd2af628a6ac614a5d10b59211","observation_id":"39006c96-9a71-4b3e-bb44-dfa4242e83df","resolution":{"observed_at":"2026-08-05T10:27:41.908845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.896812Z","title":"Éléments de mathématique, 2,9: Algebre, Chapitre 9, Formes sesquilineares et formes quadratiques","venue":null,"work_id":"9e6e2aa4-7da8-40c9-a457-4901254f6f5d","year":1973},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.407453Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:56260d5370d34071041fc4e4f9ea92059a10f9e460a855fb295c9b1dca780fc1","observation_id":"fa561612-f3c8-4a1e-9a7e-da3e406564ec","resolution":{"observed_at":"2026-08-05T10:27:41.900007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.888046Z","title":"Surgery of real symplectic fourfolds and Welschinger invariants","venue":null,"work_id":"4780e409-2d03-4bd0-a821-9f593f85465c","year":2018},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.410531Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:ac5801f49a58606289c2ed300b5dd0a3587f2e3ad26e4eba08a593f403a78cd7","observation_id":"17592de2-63df-4dc4-9f74-e07a55055c14","resolution":{"observed_at":"2026-08-05T10:27:41.891464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.879095Z","title":"On the invariance of W elschinger invariants","venue":null,"work_id":"ceb07751-cf74-4aa8-9426-92ec26353ffc","year":2020},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.413637Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:737e91880e5ef148907b32b0525258906f31a384b29ec7b897cdd3c06771a51c","observation_id":"753e3489-ea35-45eb-baa9-e186c492c553","resolution":{"observed_at":"2026-08-05T10:27:41.882270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.17854","last_updated":"2025-06-21T23:12:29Z","snapshot_observed_at":"2026-08-06T23:21:09.826153Z","submitted_at":"2025-06-21T23:12:29Z","title":"A quadratic Abramovich-Bertram formula","version":1},"cited_work":{"arxiv_id":"2506.17854","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.17854","snapshot_observed_at":"2026-08-05T10:27:41.699197Z","title":"A quadratic Abramovich-Bertram formula","venue":"math.AG","work_id":"31b3e67e-91c7-49a7-ab24-d896283f15a5","year":2025},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.416550Z"},"links":{"cited_paper":"/paper/2506.17854","citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:244668ad5204cc9b47628e8a2453cfd8810d47581bd34ec75c1bbc6c670a32a3","observation_id":"853c3536-c796-4672-a44e-f901f7a75f68","resolution":{"observed_at":"2026-08-05T10:27:41.702856Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.869852Z","title":"WDVV -type relations for Welschinger invariants: applications","venue":null,"work_id":"1220b806-4e11-4b76-bb92-d9426d3ed1b7","year":2021},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.421659Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:770e48959894d66c6621a882dac12507e46eec2673ed4bdb19501ec9c2c67c42","observation_id":"e3d74e87-3053-4f70-a69b-de7adacfb1db","resolution":{"observed_at":"2026-08-05T10:27:41.873530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.860276Z","title":"Welschinger invariants of blow-ups of symplectic 4-manifolds","venue":null,"work_id":"8b05b044-b085-4d8a-be03-8ab03f14ff25","year":2018},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.424353Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:8f7dd721f9ae15ba89a734b5730373dc197bf978426c4c1431a8f400f926e880","observation_id":"b32d6f7d-3dbd-4d08-b17e-dbebba9f7e04","resolution":{"observed_at":"2026-08-05T10:27:41.864153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.850829Z","title":"Cohomological invariants in G alois cohomology , volume 28 of University Lecture Series","venue":null,"work_id":"5072f62c-9b1d-4548-9ee6-5db59d3fa225","year":2003},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.427540Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:384690f6911af0516da7503e5e79c06e26b4ec97e82141b19533ff03eaa9d9a7","observation_id":"5177ee3b-c75e-4ed3-81be-ebcd0d3374d6","resolution":{"observed_at":"2026-08-05T10:27:41.854293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.841483Z","title":"Revêtements étales et groupe fondamental","venue":null,"work_id":"1764751c-a5de-468f-ae14-c280ff01d870","year":2005},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.430395Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:bd3038f6598333f1968eb360645f74ae19d18f820c498433719d892296b301b0","observation_id":"65874638-53ac-442f-a9c7-10ebc2127171","resolution":{"observed_at":"2026-08-05T10:27:41.844725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.832002Z","title":null,"venue":null,"work_id":"379b761e-9e12-4f3b-a80c-897e5f555b8b","year":2012},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.433737Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:66edfcaf10c075bc21e7ce727e62b465f0596f60eeb00560e015bdbe1f96b85b","observation_id":"a8150ec8-beb4-4e14-81cd-b04ca7d00a56","resolution":{"observed_at":"2026-08-05T10:27:41.835174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.822135Z","title":"Quadratically enriched plane curve counting via tropical geometry","venue":null,"work_id":"445e4e6d-4662-4d08-993a-15fce6e22c98","year":2025},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.436434Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:0494f7e200e4992529effce40aeaf79880e06aca8f16d153568aa127878473c3","observation_id":"6f04ca44-d5c4-48d2-900e-9804d13b0087","resolution":{"observed_at":"2026-08-05T10:27:41.825994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.812901Z","title":null,"venue":null,"work_id":"323622d7-38f6-40c6-a733-1358afcfa182","year":2007},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.439139Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:1bddafdac6aee6e412b789005a57463b5f76c3cabc56f92f870b7a4e8ca5cb7b","observation_id":"ed0fbc4c-7837-407c-9f74-3fe0edfd21ff","resolution":{"observed_at":"2026-08-05T10:27:41.815859Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.803412Z","title":null,"venue":null,"work_id":"894fa65e-8d0b-4cab-9084-7a4201f0a656","year":2005},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.441831Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:a6ffa4013409e58e55cd4552c668a9314684f781b9b0ad85c0e67d8394e43e5d","observation_id":"37899b48-5a65-4a16-9c08-cb18d84871cb","resolution":{"observed_at":"2026-08-05T10:27:41.806497Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.444683Z","title":"Solomon, and Kirsten Wickelgren","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.444683Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:26c367ab9a3ffca0e6785892419a8ad5680a42ba2b21e6cc10272546212d10d4","observation_id":"3d8e2f59-1500-40da-a68e-accbbd44c7d3","resolution":{"observed_at":"2026-08-05T10:27:41.444683Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:27:41.447627Z","title":"Solomon, and Kirsten Wickelgren","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.447627Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:9e2977095b273e3a4dbd48204f332b3126139336a6e6e33c09b6f49588bdd687","observation_id":"e986079a-2718-4b6c-ac86-982796d6da85","resolution":{"observed_at":"2026-08-05T10:27:41.447627Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:27:41.450395Z","title":"Quadratic and H ermitian forms over rings , volume 294 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.450395Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:d11f6ce883c7d8ca1c833476a968e76299d115feb8492d5c30370e0822a3b855","observation_id":"e5e39e3d-84e7-4e50-8166-07b752fc99f6","resolution":{"observed_at":"2026-08-05T10:27:41.450395Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:27:41.453348Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.453348Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:f6a46352b11c8b1953c93586e4a6e5ae442f1b70c9d28f89a0bce1608c863651","observation_id":"997be4be-98b2-415f-a1ca-604ecc0e88f0","resolution":{"observed_at":"2026-08-05T10:27:41.453348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"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":"2026-08-05T10:27:41.456127Z","title":"Toward an algebraic theory of W elschinger invariants","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.456127Z"},"links":{"cited_paper":"/paper/1808.02238","citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:3fac2067336efd1b79a8af5075d421147f1b71dd5c1b118b37c913697f13dc50","observation_id":"a0232588-4ce2-45b1-b5f1-714b7a603ae9","resolution":{"observed_at":"2026-08-05T10:27:41.456127Z","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":"2026-08-05T10:27:41.783140Z","title":"Symmetric bilinear forms","venue":null,"work_id":"9908d81d-46e1-438f-a2de-ca5220f1d3b5","year":1973},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.459189Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:dab84613d40b7331ea36709fa11bb5cd3e1023f89f293598838c4b417136ba9d","observation_id":"cbb6098b-f389-462b-adbb-4efd792760ef","resolution":{"observed_at":"2026-08-05T10:27:41.786214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.09412","last_updated":"2026-02-24T09:10:50Z","snapshot_observed_at":"2026-08-08T17:00:21.065122Z","submitted_at":"2023-02-18T20:01:45Z","title":"Gromov-Witten and Welschinger invariants of del Pezzo varieties","version":3},"cited_work":{"arxiv_id":"2302.09412","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.09412","snapshot_observed_at":"2026-08-05T10:27:41.541709Z","title":"Gromov-Witten and Welschinger invariants of del Pezzo varieties","venue":"math.AG","work_id":"02f55bc7-cc74-4ad8-a35c-7ce52d90dd0e","year":2023},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.462029Z"},"links":{"cited_paper":"/paper/2302.09412","citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:1a133366f234b4f37cde38cf5aa761d004d12659b7f9edad4f72ad3aef654def","observation_id":"16be1b96-98f4-4128-851d-5530c4627004","resolution":{"observed_at":"2026-08-05T10:27:41.545242Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.774229Z","title":"A purity theorem for the witt group","venue":null,"work_id":"8d438545-a52b-44dd-8af3-630992b4de90","year":1999},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.465226Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:bb1db283834ecf551ef3013f6f8bcee644bfb5932030da97f44544f8719331d3","observation_id":"1a6c1d28-7bee-46b5-8939-cbcf9106fe9c","resolution":{"observed_at":"2026-08-05T10:27:41.777335Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.765442Z","title":"Power structures on the grothendieck--witt ring and the motivic euler characteristic","venue":null,"work_id":"6303e2ae-fd09-4e0f-ac5d-3edc01ae4d52","year":2025},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.468243Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:896e10925f5ca53fe166acf0b6dd5f8c2f5f45c40b256905f049ea91c3923695","observation_id":"2b324790-9167-4053-9c2f-80b7e5e1f286","resolution":{"observed_at":"2026-08-05T10:27:41.768712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.757134Z","title":"Pandharipande, J","venue":null,"work_id":"27487c1e-ffa5-47d4-9aae-fc5a15fe7b42","year":2008},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.471038Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:38d3d7a96154a7b375c1f95543d9848962dd80061d4d80d282195c42774198ad","observation_id":"1e1899f3-0155-447d-96d3-837b5cf80415","resolution":{"observed_at":"2026-08-05T10:27:41.760089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0606429","last_updated":"2006-06-18T15:03:43Z","snapshot_observed_at":"2026-08-08T11:55:04.188351Z","submitted_at":"2006-06-18T15:03:43Z","title":"Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions","version":1},"cited_work":{"arxiv_id":"math/0606429","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0606429","snapshot_observed_at":"2026-08-05T10:27:41.526831Z","title":"Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions","venue":"math.SG","work_id":"e2e25f61-a3d5-4723-8588-c2565617d5e2","year":2006},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.473702Z"},"links":{"cited_paper":"/paper/math/0606429","citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:d9d7cf711e5ae5c77c9b044d882e34314b2f3b6d70e7e633e6fd5db63dbbed87","observation_id":"760161d6-32ac-4517-9a2a-3107f8c79a5a","resolution":{"observed_at":"2026-08-05T10:27:41.532215Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.747715Z","title":"Stacks project","venue":null,"work_id":"24f4e67c-2831-4a35-87a9-f1addeba4f31","year":2025},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.476795Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:c7a06cb10e2b4cf733cb06a2da879c4c020d5a663ab139a6758d3cc8a891f37e","observation_id":"03b13587-e296-460b-8fb1-460f50a920b1","resolution":{"observed_at":"2026-08-05T10:27:41.750829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0509121","last_updated":"2007-09-17T09:13:58Z","snapshot_observed_at":"2026-07-07T05:51:09.898814Z","submitted_at":"2005-09-06T14:29:26Z","title":"Enumerative invariants of stongly semipositive real symplectic six-manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0509121","snapshot_observed_at":"2026-08-05T10:27:41.480178Z","title":"Enumerative invariants of stongly semipositive real symplectic six-manifolds","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.480178Z"},"links":{"cited_paper":"/paper/math/0509121","citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:c34c6436d5f6b4f63e7184163b40455ab65face93243fe75ed007dd2ea15e64a","observation_id":"820be604-ccad-4fd7-823f-536127a81d2d","resolution":{"observed_at":"2026-08-05T10:27:41.480178Z","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":"2026-08-05T10:27:41.738348Z","title":"Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry","venue":null,"work_id":"9e9f274f-62a0-4b01-ba78-8cafdc713a6a","year":2005},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.483185Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:13a01e0af5f6722725f1e74ff43034a799e2b986312539a5f7ea5c681c072745","observation_id":"4c6d8ec3-53f2-4f8f-b068-a984de90535e","resolution":{"observed_at":"2026-08-05T10:27:41.741998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.728956Z","title":"Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants","venue":null,"work_id":"6517bd36-3c1f-467b-a3a4-125c06bb2d83","year":2005},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.486244Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:7fd3e9b97e46765bb89272ad9fbc2c99259dd9c1b40003bb49c37a6b7a48208b","observation_id":"2b1bdbf1-d1d6-47fd-ae9f-52f67d7dfe91","resolution":{"observed_at":"2026-08-05T10:27:41.732474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.719339Z","title":"Invariant count of holomorphic disks in the cotangent bundles of the two-sphere and real projective plane","venue":null,"work_id":"a0c6ce1b-493b-49c2-8c6a-d3e62bcd3478","year":2007},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.489024Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:ff0d3cfb991de2b48088e6975cee38df42279712c0a1d7ce634a95275e073606","observation_id":"85d0a168-2c4c-4a3d-845a-2a98e088dc51","resolution":{"observed_at":"2026-08-05T10:27:41.722496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-05T10:27:41.709710Z","title":"Open Gromov - Witten invariants in dimension four","venue":null,"work_id":"0ca8e6b6-8652-452c-87e6-4d362cdd9bfe","year":2015},"citing_paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-05T10:27:41.491949Z"},"links":{"citing_paper":"/paper/2509.04172"},"observation_digest":"sha256:042f2e1c3d195f8f38d5a4bc3ed3dfcd70df65395b8c1c3d5f2a0b9d3ecd5eaa","observation_id":"ab90795f-455e-4ad8-8cf1-f82428ce6ae2","resolution":{"observed_at":"2026-08-05T10:27:41.713125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.04172","last_updated":"2025-09-04T12:45:44Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-10T01:43:12.436397Z","submitted_at":"2025-09-04T12:45:44Z","title":"Welschinger--Witt invariants"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":3,"verified_fuzzy":24},"total_outbound_references":36},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2509.04172."}