{"as_of":"2026-08-19T22:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ced4462b7cd15f7176d54eef4afe028f23fdf0e37346486658933eb7da8e6536","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T16:16:24.366861Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T15:26:41.096697Z","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":"2026-08-05T15:26:41.398188Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"cited_work":{"arxiv_id":"2412.10556","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.10556","snapshot_observed_at":"2026-08-05T15:26:41.398188Z","title":"When is the chromatic quasisymmetric function symmetric?","venue":"math.CO","work_id":"26fd71fa-36be-43a9-8d9a-6ca354c8a7ef","year":2024},"citing_paper":{"arxiv_id":"2508.20200","last_updated":"2025-08-27T18:24:30Z","snapshot_observed_at":"2026-08-18T13:28:29.367436Z","submitted_at":"2025-08-27T18:24:30Z","title":"Chromatic quasisymmetric functions for signed graphs","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T15:26:41.096697Z"},"links":{"cited_paper":"/paper/2412.10556","citing_paper":"/paper/2508.20200"},"observation_digest":"sha256:bfb467b3541a72743d52c5f42fdfc5e25ba1d27025c3651533e5dde502499582","observation_id":"fb64a629-ca13-425b-9439-b397e4ac866a","resolution":{"observed_at":"2026-08-05T15:26:41.403854Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.10556/citation-record","integrity":"/paper/2412.10556/integrity","json":"/paper/2412.10556/citation-record.json","paper":"/paper/2412.10556"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.156948Z","title":"Chromatic symmetric functions from the modular law","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.156948Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:c82c1032df6bc3b725eea5553eeceaee3e098a037a98733081cdab2576ab2f3e","observation_id":"7a8a6871-e185-49e9-a283-42687a89d150","resolution":{"observed_at":"2026-08-11T16:16:24.156948Z","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":"2026-08-11T16:16:24.162337Z","title":"LLT polynomials, chromatic quasisymmetric func- tions and graphs with cycles","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.162337Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:7d0a26e82c0a89e50303d9b3cc89bd903d9ec86b3f2106570285e9ae998363a0","observation_id":"1ac44800-3a39-4d10-b054-6a94ad62f759","resolution":{"observed_at":"2026-08-11T16:16:24.162337Z","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":"2026-08-11T16:16:25.347327Z","title":"The chromatic symmetric function of a graph centred at a vertex","venue":null,"work_id":"36a1d19d-85eb-4f77-8de0-142ea864b941","year":2024},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.167884Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:791ee3e78306656dd1f36a0cac8079538758ba0c0ce162af8e5ced7c5491937a","observation_id":"c250be69-b06c-446b-bbd2-f8cfbbc9f565","resolution":{"observed_at":"2026-08-11T16:16:25.353015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00026-025-00762-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"Chromatic Quasisymmetric Functions of the Path Graph","venue":"Annals of Combinatorics","work_id":"10b6e388-ec3d-47bf-82d9-117dad101217","year":2025},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.177722Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:fc8c8099a394b770f1004dbcfa3596ebb89fbeb7ddc8869df4118d72d366834c","observation_id":"0037e48b-74cd-48e1-b92c-c0fd29392cd0","resolution":{"observed_at":"2026-08-11T16:16:24.619691Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:25.330012Z","title":"Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties","venue":null,"work_id":"095a9e42-46bd-4fdd-a655-a52e1f5316e3","year":2018},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.183986Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:082a71f154b7640248e0ed55b478691e153695bb265dc50690143e0d01689791","observation_id":"8bcf323e-e9bb-4751-856d-a1a46167c818","resolution":{"observed_at":"2026-08-11T16:16:25.335854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:25.312788Z","title":"Positivity of chromatic symmetric functions associated with Hessenberg functions of bounce number 3","venue":null,"work_id":"bf2ea725-3359-4296-a7c8-d3e30773c82b","year":2022},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.197017Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:e480ed6448899f60a6756d0dd6a264703ea064d84484bc9cd431017c69b511ca","observation_id":"65a1e95f-dea4-443b-8aa5-4f44c381a894","resolution":{"observed_at":"2026-08-11T16:16:25.318442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/18m1216201","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.587864Z","title":"On e-positivity and e-unimodality of chromatic quasi-symmetric functions","venue":null,"work_id":"2250b594-5ad1-4a3e-8690-b18322b5a143","year":2019},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.201724Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:1f090e497a651d0693653cc52b2e316368b357f0585711bbd906723cdfcfdcd9","observation_id":"f92d4e34-ec65-427a-82d2-7c390cdf9621","resolution":{"observed_at":"2026-08-11T16:16:24.592853Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:25.293998Z","title":"Chromatic symmetric func- tions of Dyck paths and q-rook theory","venue":null,"work_id":"88c29cf6-1172-48eb-ac38-ba0da8830bcc","year":2023},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.207323Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:1805a924cfff085954aed1ee5cff4fc61b13411cb062b7e4adcb0d30f14f42d6","observation_id":"c301b497-6070-4588-8d06-b3eb17311cef","resolution":{"observed_at":"2026-08-11T16:16:25.299907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.04885","last_updated":"2019-06-28T19:14:59Z","snapshot_observed_at":"2026-08-14T18:00:29.262904Z","submitted_at":"2018-11-12T18:04:43Z","title":"Triangular Ladders $P_{d,2}$ are $e$-positive","version":2},"cited_work":{"arxiv_id":"1811.04885","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.04885","snapshot_observed_at":"2026-08-11T16:16:25.001365Z","title":"Triangular Ladders $P_{d,2}$ are $e$-positive","venue":"math.CO","work_id":"2e82afd4-e442-4260-b0ef-e5f48c0f254f","year":2018},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.217985Z"},"links":{"cited_paper":"/paper/1811.04885","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:3b5f3696e47ef36644d010eb87c8b699f1829d1505e60a08306bab198b4a8e39","observation_id":"8c338eaf-cc0b-4233-bc42-7752dedea2f1","resolution":{"observed_at":"2026-08-11T16:16:25.007010Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/17m1144805","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.570177Z","title":"Lollipop and lariat symmetric func- tions","venue":null,"work_id":"7a95df1c-0e77-4bc2-8bcf-b1d043151855","year":2018},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.223594Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:adf77db677e36d73de45ac517868d6d26f00a4bc39a66ba10153e5d1487ef08d","observation_id":"ea352f4f-f3d0-4eab-8a5e-c7bda4cb8be1","resolution":{"observed_at":"2026-08-11T16:16:24.575146Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:24.229144Z","title":"A decomposition theorem for partially ordered sets","venue":null,"work_id":null,"year":1950},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.229144Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:ebf23feb43cdc0742172a6286f2aaa284bcb66a549c4df263dde24a613b3d082","observation_id":"fbf4207f-968a-4895-9e38-b391e2eaefa1","resolution":{"observed_at":"2026-08-11T16:16:24.229144Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.00454","last_updated":"2017-09-05T19:31:12Z","snapshot_observed_at":"2026-08-18T13:30:04.860910Z","submitted_at":"2017-09-01T19:38:42Z","title":"A directed graph generalization of chromatic quasisymmetric functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.00454","snapshot_observed_at":"2026-08-11T16:16:24.239458Z","title":"A directed graph generalization of chromatic quasisymmetric functions","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.239458Z"},"links":{"cited_paper":"/paper/1709.00454","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:b781082bad0755d7cbf905b76d1c635ad8d8509ebe7eb66ba18bfb4cf75c3c3f","observation_id":"08c3f79d-b5ac-4af2-a36e-d4632cf2d930","resolution":{"observed_at":"2026-08-11T16:16:24.239458Z","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":"10.4310/joc.2020.v11.n3.a1","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.541246Z","title":"On enumerators of Smirnov words by descents and cyclic descents","venue":null,"work_id":"ff5cf02a-43b7-4764-b715-1d595587bd9e","year":2020},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.245167Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:ecb72cb8f82380cd9a29119d8ff7f052f5df9beb27a2732ec63bab1d98645f7e","observation_id":"d7f40cf6-9bb1-429b-9165-e851dba9ca38","resolution":{"observed_at":"2026-08-11T16:16:24.547362Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:24.250393Z","title":"Classes of graphs withe-positive chromatic symmetric function","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.250393Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:2a196b4705081985272d0dbfdc6aece3d021f296e3bec8bf8fd92fc9bbe31483","observation_id":"cde8765d-cb6d-4c60-bfbf-e69e399a0481","resolution":{"observed_at":"2026-08-11T16:16:24.250393Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-11T16:16:25.271143Z","title":"Incomparability graphs of (3 + 1)-free posets are s-positive","venue":null,"work_id":"af8312b4-83ed-4e92-857a-16831cef59f5","year":1994},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.255180Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:5f902e3d382589f8d16ae1bfe263f4aa2f2a63831223e17b910126cfce7d9291","observation_id":"aec4d44c-49e9-466b-8f75-fcb5947ca488","resolution":{"observed_at":"2026-08-11T16:16:25.278621Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/a:1011258714032","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.510814Z","title":"A chromatic symmetric function in noncommuting variables","venue":null,"work_id":"05259873-b81b-4dbf-82c9-08d3e913fc9f","year":2001},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.259907Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:da30fb720e4d4f7f6a580480df7f80385582d29c56b713ab1cba6656dacba177","observation_id":"06855f40-d19a-40bf-8ae4-a37e79a82c39","resolution":{"observed_at":"2026-08-11T16:16:24.516227Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-11T16:16:24.264500Z","title":"Griffin et al","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.264500Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:30c35f2da13f50d782e8416e6af92763f547c03fdb9a04166ae0fc965c181468","observation_id":"291983d8-d231-45bf-aa66-b752f83a65e6","resolution":{"observed_at":"2026-08-11T16:16:24.264500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.8356","last_updated":"2020-07-28T17:30:28Z","snapshot_observed_at":"2026-08-18T13:23:57.851001Z","submitted_at":"2014-09-30T00:38:48Z","title":"Hopf Algebras in Combinatorics","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.8356","snapshot_observed_at":"2026-08-11T16:16:24.270849Z","title":"Hopf Algebras in Combinatorics","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.270849Z"},"links":{"cited_paper":"/paper/1409.8356","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:9221d3a48b67491563cec5bf39d2f9fee10c7d283006750d744b61a694c0b6bd","observation_id":"c6287a19-5e13-47fd-80f2-02eac829d96f","resolution":{"observed_at":"2026-08-11T16:16:24.270849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.2400","last_updated":"2013-06-11T01:46:18Z","snapshot_observed_at":"2026-08-15T00:14:31.412920Z","submitted_at":"2013-06-11T01:46:18Z","title":"A modular relation for the chromatic symmetric functions of (3+1)-free posets","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.2400","snapshot_observed_at":"2026-08-11T16:16:24.276540Z","title":"A modular relation for the chromatic symmetric functions of(3 + 1)- free posets","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.276540Z"},"links":{"cited_paper":"/paper/1306.2400","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:ecbc3f47cc0d864adaf006a22947cf872ba056b3da56ee0efef2e516abdc9299","observation_id":"2a89d945-c746-43d5-b801-8e7d1f39c959","resolution":{"observed_at":"2026-08-11T16:16:24.276540Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1601.05498","last_updated":"2016-01-21T03:13:54Z","snapshot_observed_at":"2026-08-14T22:13:47.284617Z","submitted_at":"2016-01-21T03:13:54Z","title":"A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1601.05498","snapshot_observed_at":"2026-08-11T16:16:24.282460Z","title":"A second proof of the Shareshian-Wachs conjecture, by way of a new Hopf algebra","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.282460Z"},"links":{"cited_paper":"/paper/1601.05498","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:ece798d0eb0f8e5ee8eee2fc3f29fd2dd503ba5b24b30501a8c004b280841cd5","observation_id":"785aed58-1933-4b4c-a0ad-11d5d3e3e326","resolution":{"observed_at":"2026-08-11T16:16:24.282460Z","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":"10.5802/alco.76","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.491953Z","title":"The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture","venue":null,"work_id":"d3e6680d-cabe-471e-988e-4190f934b2a3","year":2019},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.288256Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:bcfb9b2d03f80cab22d4dad5dfdef6bd98cb9052473461885cb7193ef6033a61","observation_id":"e13f7616-e910-4bde-acde-7c0bb4c5e3cd","resolution":{"observed_at":"2026-08-11T16:16:24.497774Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10440-009-9439-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-19T11:03:45.297681Z","title":"Explicit polynomial generators for the ring of quasisymmetric functions over the integers","venue":"Acta Applicandae Mathematicae","work_id":"7a8e3077-5d4d-46aa-a530-5c49428568f3","year":2010},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.293857Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:26e8c8a02554676d1acfb2297f7ab7568706e99d39727f75676e627c0e615e4a","observation_id":"02db554e-78b1-4aef-a395-5b7017b64505","resolution":{"observed_at":"2026-08-11T16:16:24.479372Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:25.252832Z","title":"A proof of the Stanley-Stembridge conjecture","venue":null,"work_id":"97e56a24-b8ff-4060-ae1b-271c4c0f343e","year":2024},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.299792Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:03a47821da3ed5b118afafc1a2c592ce0b3ed31f8e37fe2bb513e1856e9d5579","observation_id":"b2138a61-bbde-42d3-95ff-a9127fdb4c80","resolution":{"observed_at":"2026-08-11T16:16:25.257695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2019.11172","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.881542Z","title":"Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials","venue":null,"work_id":"22a79877-f690-45f5-aaa5-775375c3316a","year":2020},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.305562Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:f4b07c9017faf395619570657646f75873b4404038bf07db97bafa1f28dbbf04","observation_id":"1ae47015-9fb1-4cf4-a14b-b74a483186a8","resolution":{"observed_at":"2026-08-11T16:16:24.891567Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.aam.2007.01.003","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.455546Z","title":"P-partition products and fundamental quasi-symmetric function positivity","venue":null,"work_id":"3832a0df-fbb2-4269-aea9-7a189a01c65c","year":2008},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.310578Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:560aa1fe6124ff2d239dbf2ceae13cb36be5d0042bd9cc462563a3fb0f0505a6","observation_id":"a902d0b9-cca6-44b9-ab93-a92e7938921d","resolution":{"observed_at":"2026-08-11T16:16:24.461755Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.37236/9910","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.438583Z","title":"On the e-positivity of ( claw, 2K2)-free graphs","venue":null,"work_id":"8a76f782-83ac-4a5e-a3db-a9734621922c","year":2021},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.315915Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:00f762c664c43124111313b0b523270ebe98d06a962ec3f1d9f45f82d8dbb841","observation_id":"848bd521-3f66-4e47-a913-51a9aad6f910","resolution":{"observed_at":"2026-08-11T16:16:24.443489Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:25.236478Z","title":"personal communication","venue":null,"work_id":"d3d36da3-e2ea-4432-b7a3-3c8477ea6b8a","year":2023},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.320482Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:29a6c442d776c2466a531fabf20e3e6a3d562f04889361510f829ef2a022d53f","observation_id":"b05e4512-d72a-42d2-b024-772409d280e3","resolution":{"observed_at":"2026-08-11T16:16:25.241405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.07280","last_updated":"2024-04-20T19:41:38Z","snapshot_observed_at":"2026-08-16T14:01:58.132785Z","submitted_at":"2024-04-10T18:14:35Z","title":"The Stanley-Stembridge Conjecture for $\\bf 2 + 1 +1$-avoiding unit interval orders: a diagrammatic proof","version":2},"cited_work":{"arxiv_id":"2404.07280","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.07280","snapshot_observed_at":"2026-08-11T16:16:24.808710Z","title":"The Stanley-Stembridge Conjecture for $\\bf 2 + 1 +1$-avoiding unit interval orders: a diagrammatic proof","venue":"math.CO","work_id":"c72f0135-5a49-4e36-bc08-be9d837740d7","year":2024},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.325229Z"},"links":{"cited_paper":"/paper/2404.07280","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:50b6d1d7f7e2e6b2b7047ec05b9c237575730a3658547fa1f389c3c62ffd4271","observation_id":"bdf6eea4-11fb-4e17-ba2a-79764194bac7","resolution":{"observed_at":"2026-08-11T16:16:24.813745Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:25.219278Z","title":"SageMath, the Sage Mathematics Software System (Ver","venue":null,"work_id":"a57fdb73-c24f-4dac-9698-59fe0f4d8b3e","year":2021},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.329927Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:62532dd0201205c6c9e6515d4e798e26c1a21be3a2f60c14ff8394dcdd7cc5b4","observation_id":"71693854-fd06-4368-acc4-e23b69c9f453","resolution":{"observed_at":"2026-08-11T16:16:25.224654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:25.202169Z","title":"Chromatic quasisymmetric functions","venue":null,"work_id":"d2152858-3980-4bcb-b4a3-60386ecc5399","year":2016},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.334934Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:03102ab2137b16de2fe97b5b743d9ecfb3c785c8b5f93075e599ffda2fc2c191","observation_id":"cf9bac95-1483-428a-b17c-04a3408e63a1","resolution":{"observed_at":"2026-08-11T16:16:25.207347Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:24.340069Z","title":"A symmetric function generalization of the chromatic polynomial of a graph","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.340069Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:e46bddcdebc8621d186058a4b0f36c7a5b6a438712dbbf02e8cd63a207a09d2c","observation_id":"01a4eb8f-d3a3-47e1-ae6b-841bbc07704f","resolution":{"observed_at":"2026-08-11T16:16:24.340069Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-11T16:16:25.185831Z","title":null,"venue":null,"work_id":"27771e12-a8bb-46ce-b410-f745ab733374","year":2024},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.344507Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:7de9e9ac17d5b677fe3cb3c29adbcd0b13aa41e8db7b7891b3ddb6ab6d153205","observation_id":"11bd83cb-b481-4b27-bd57-63e4ca05f180","resolution":{"observed_at":"2026-08-11T16:16:25.190769Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0097-3165(93)90048-d","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.421118Z","title":"On immanants of Jacobi-Trudi matrices and permutations with restricted position","venue":null,"work_id":"343d7c49-0af1-46fb-8115-8a342e249bff","year":1993},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.349682Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:6879e0e2b9719fe3a788e96ebf595f1b34f17f6d0c57c93c763e7f8d1ddc3392","observation_id":"5c64ef4b-c663-4991-afe6-ed0593ff6df8","resolution":{"observed_at":"2026-08-11T16:16:24.426600Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.37236/12319","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T16:16:24.631332Z","title":"doi: 10.37236/12319","venue":null,"work_id":"2a4f891c-9970-41ea-be4f-2f2484df38e3","year":null},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.172749Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:b4e96ed2241d1440d86b7cb2237d7b80eee5517bdf1108d058391b1094de6fe5","observation_id":"914f2f21-cefc-4513-b31d-a0b60e7f9bef","resolution":{"observed_at":"2026-08-11T16:16:24.636341Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10801-022-01175-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-19T11:03:45.297681Z","title":"The e-positivity of two classes of cycle-chord graphs","venue":"Journal of Algebraic Combinatorics","work_id":"c91cbe69-32ac-4650-a982-9b8028fae63e","year":2023},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.361804Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:8d3de53657aaa559a450055613852f39c335f6e7e5e22c741bf90f0766fa08d4","observation_id":"32a3f94e-247b-444b-a032-b2c5ad2cdcd2","resolution":{"observed_at":"2026-08-11T16:16:24.409009Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:24.212678Z","title":"doi: 10.1016/j.ejc.2022.103595","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.212678Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:3a1461296d0647a69d680113b7feeb4f6413ae95f7d6912a2dee56149e146cc0","observation_id":"e3a1b6a5-07b4-4830-ae84-26779895197d","resolution":{"observed_at":"2026-08-11T16:16:24.212678Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.08020","last_updated":"2024-05-08T07:36:27Z","snapshot_observed_at":"2026-08-19T00:01:56.903714Z","submitted_at":"2023-11-14T09:25:58Z","title":"A signed $e$-expansion of the chromatic quasisymmetric function","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.08020","snapshot_observed_at":"2026-08-11T16:16:24.355648Z","title":"A signed e-expansion of the chromatic quasisymmetric function","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.355648Z"},"links":{"cited_paper":"/paper/2311.08020","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:b9469bb659e581effc00c57f049d53dba633ac0ad4eb8aefa7d8354f7da93a34","observation_id":"77daed99-e7ac-41ae-9817-13aaf70382a8","resolution":{"observed_at":"2026-08-11T16:16:24.355648Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.07567","last_updated":"2023-07-27T18:35:22Z","snapshot_observed_at":"2026-08-16T16:24:13.835865Z","submitted_at":"2022-10-14T06:46:26Z","title":"The $e$-positivity of the chromatic symmetric functions and the inverse Kostka matrix","version":2},"cited_work":{"arxiv_id":"2210.07567","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.07567","snapshot_observed_at":"2026-08-11T16:16:24.664956Z","title":"The $e$-positivity of the chromatic symmetric functions and the inverse Kostka matrix","venue":"math.CO","work_id":"e2298bbe-d15b-42da-9f0b-b6c423024fa9","year":2022},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.366861Z"},"links":{"cited_paper":"/paper/2210.07567","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:051477df270c4bc140e047b443d3e103f64af2242cc81f23a7a1410991608df2","observation_id":"4841cdc1-7fd3-4cf0-a920-725b10d0ebcb","resolution":{"observed_at":"2026-08-11T16:16:24.670480Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T16:16:24.190450Z","title":"doi: 10.1016/j.aim.2018.02.020","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":1001,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.190450Z"},"links":{"citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:84d1a6419143d31cd21fca45201fe5e6035f9a89ee4529d053fc11e94ac62e47","observation_id":"49ad2335-bc41-4687-89e2-8fe6c4ee6592","resolution":{"observed_at":"2026-08-11T16:16:24.190450Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":5,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":12,"verified_exact":13,"verified_fuzzy":8},"total_outbound_references":39},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2412.10556."}