{"as_of":"2026-08-19T20:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a4d355bb15e23f9b098beac4e2fb43c92b4872eb25d4aefb4dca2a1954c2b7a1","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:32:39.132692Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2509.02841/citation-record","integrity":"/paper/2509.02841/integrity","json":"/paper/2509.02841/citation-record.json","paper":"/paper/2509.02841"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:43.961486Z","title":"Marked graphs and the chromatic symmetric function","venue":null,"work_id":"60dd949b-35da-43cd-aebd-edafc844be95","year":1919},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.966014Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:4ae8f0c326d5d11c8146866aac786e6853704f7dc8fb4bed9f5260d30e6f38aa","observation_id":"2a226b4d-4d23-4eb3-aa45-3f1230cb8280","resolution":{"observed_at":"2026-08-05T11:32:44.036452Z","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":"2026-08-05T11:32:43.843838Z","title":"Martin, Jennifer D","venue":null,"work_id":"d5cfc15d-4511-43e3-81d5-b73098c85577","year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.970979Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:a377945c84fc4c241e4cd57d37116fc9d438aece81959581efedb57d14198c2e","observation_id":"17b809a9-87b8-490b-8be3-2c6b945bac17","resolution":{"observed_at":"2026-08-05T11:32:43.909732Z","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":"2026-08-05T11:32:43.703477Z","title":"Athanasiadis","venue":null,"work_id":"3421bdd1-2a50-430c-9bd2-240866ee13f5","year":2015},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.975552Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:5dfec3bd493c589ed57df3ebc34855a7e80ab371c9d124a1d90d8099faaa6106","observation_id":"0d365e2b-d23e-4400-86db-9d4048cd3c97","resolution":{"observed_at":"2026-08-05T11:32:43.785607Z","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":"2026-08-05T11:32:43.579335Z","title":"Noncommutative Schur functions for posets","venue":null,"work_id":"7445f413-24e4-43ae-b95b-fa35942c7490","year":2025},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.980422Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:5f9a4bae9c205adc9129a65f8f6faa7c27f87c4a1d8b74a5d328df1a8e322c1c","observation_id":"6fdc95ab-79dd-496e-81d6-14bfe369215b","resolution":{"observed_at":"2026-08-05T11:32:43.638895Z","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":"2026-08-05T11:32:43.462753Z","title":"Noncommutative Schur functions, switchboards, and Schur positivity","venue":null,"work_id":"f087dfee-dd37-4216-af2d-b35fcb10ee19","year":2017},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.984925Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:31f7302fe37c5149a8b3c870ebf8d0384e1fb77c9e653bff258589de74cea1ae","observation_id":"8ddcaff9-3f75-4ead-910a-75102a145a29","resolution":{"observed_at":"2026-08-05T11:32:43.517725Z","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":"2026-08-05T11:32:43.301212Z","title":null,"venue":null,"work_id":"11623692-fd86-487f-9c44-d6672f6f024b","year":2018},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.989603Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:2f36b9a3fd7f05988e47a24857c8c0fd5c77e494345d4741094ed437daa9998d","observation_id":"d38a5895-046f-4b28-a2b9-33e303b0a87d","resolution":{"observed_at":"2026-08-05T11:32:43.389445Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:43.180808Z","title":"A graph polynomial from chromatic symmetric functions","venue":null,"work_id":"3f865de9-90dc-42fd-880b-5ffcc58c97f9","year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.994786Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:2e86d04f45b76ec577ecc48fa599a43ffc12d552152202d9739c61c69724f2ff","observation_id":"99cf8684-4486-44f7-b6d4-f82d8918a205","resolution":{"observed_at":"2026-08-05T11:32:43.253039Z","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":"2026-08-05T11:32:43.038376Z","title":"Positivity of chromatic symmetric functions associated with Hessenberg functions of bounce number 3","venue":null,"work_id":"1fe976bc-2ed0-4df3-a86e-94c86930d59d","year":2022},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:38.999531Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:da6e5598ed57420c82331c348924cffe904a027653eae4dc06de46d98cb54ff3","observation_id":"160733a4-ec73-4ec1-ba41-ce8e0369e2f6","resolution":{"observed_at":"2026-08-05T11:32:43.106463Z","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":"2026-08-05T11:32:42.921122Z","title":"On e-positivity and e-unimodality of chromatic quasi-symmetric functions","venue":null,"work_id":"de8636af-802f-444c-9c0d-b08ad5453ac6","year":2019},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.004094Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:7b24460f706d5ea75887efc88e3e5f763d7612ea5fee13c8127b30c4a8c16061","observation_id":"83c15407-4781-46b7-9805-fe06f7c4f9a5","resolution":{"observed_at":"2026-08-05T11:32:42.969522Z","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":"2026-08-05T11:32:42.781819Z","title":"Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements","venue":null,"work_id":"71eb98af-2042-43a9-bca5-d9448c23fbbc","year":2016},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.008802Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:2f651fb71dde43cdab47e44cca0faa42eacec9bddab26a447a81e4aee81bbe1c","observation_id":"814a7b0f-6bb5-474a-953e-b32ab947452e","resolution":{"observed_at":"2026-08-05T11:32:42.860162Z","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":"2026-08-05T11:32:42.664652Z","title":"A new formula for Stanley’s chromatic symmetric function for unit interval graphs and e-positivity for triangular ladder graphs","venue":null,"work_id":"8401dcd2-4033-45c9-8802-b0c5faae7289","year":2020},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.013742Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:4d7b12cde355dfc558e6ce8e9f7eaee95db7be18b2eaa205dcb408ec0f61fd1e","observation_id":"b07e6093-ac2f-4fec-aa50-0942ff1efb3f","resolution":{"observed_at":"2026-08-05T11:32:42.713473Z","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":"2026-08-05T11:32:42.560579Z","title":"Lollipop and lariat symmetric functions","venue":null,"work_id":"6bb1cafa-4e09-496c-b631-4ffa6a4925ad","year":2018},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.018373Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:b7fde8cf5c4e6ed56e8e62432139feafbe05f5b430bec363ea9017fd64919b86","observation_id":"58ca3925-aa48-4901-a249-9e05a6feb0fd","resolution":{"observed_at":"2026-08-05T11:32:42.594701Z","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":"2026-08-05T11:32:42.433678Z","title":"Noncommutative Schur functions and their applications","venue":null,"work_id":"e81ceba1-8ff9-4642-b384-3e7c4862791a","year":1998},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.022615Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:f2ac2fd27ca5c250aec00a4589a07e057b64c2aaee2c94e59c1a503b4ab1b8ff","observation_id":"1ccef4dd-5b57-479c-ba19-626f93f4797b","resolution":{"observed_at":"2026-08-05T11:32:42.462312Z","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":"2026-08-05T11:32:42.277742Z","title":"Incomparability graphs of (3 + 1)-free posets ares-positive","venue":null,"work_id":"873c12d8-6005-4d32-a539-44ed0f798011","year":1996},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.026739Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:04fef29ccdeeb356a87338ab0eab2bc38996f2eb63cc3e6c829d64eaa84d5b21","observation_id":"57a798bf-9495-43b6-b5fd-6e633171ac77","resolution":{"observed_at":"2026-08-05T11:32:42.363015Z","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":"2026-08-05T11:32:42.112502Z","title":"Gebhard and Bruce E","venue":null,"work_id":"4281f63c-6f55-40d5-a450-0870d9ca971d","year":2001},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.030966Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:7f7450075473234c58d09d68e9e0225a127b646ec033455237baf1ff43324c4f","observation_id":"e0e01c8b-c166-435b-a59a-40fb75c9c273","resolution":{"observed_at":"2026-08-05T11:32:42.194606Z","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":"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":"2026-08-05T11:32:39.035556Z","title":"Griffin, Anton Mellit, Marino Romero, Kevin Weigl, and Joshua Jeishing Wen","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.035556Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:4b4981a55b09db9a1ce57dd8b9a2dc27cff00fced3c12dac505a04e4e22abbe3","observation_id":"85be47cd-fb04-4f2b-9017-f7f5460b565d","resolution":{"observed_at":"2026-08-05T11:32:39.035556Z","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":"2026-08-05T11:32:39.040323Z","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":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.040323Z"},"links":{"cited_paper":"/paper/1306.2400","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:a9db4aa8188f1e9c3ecf075185e61aa97832a7f398a348c5b8a4affd4af89154","observation_id":"dab132ed-5e87-416d-bc0f-10e20da263da","resolution":{"observed_at":"2026-08-05T11:32:39.040323Z","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":"1601.05498","doi":null,"metadata_source":"pith","pith_arxiv_id":"1601.05498","snapshot_observed_at":"2026-08-05T11:32:39.607788Z","title":"A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra","venue":"math.CO","work_id":"4c0fe0a1-fda4-4ca4-a24b-dda2f2cbcde8","year":2016},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.046069Z"},"links":{"cited_paper":"/paper/1601.05498","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:a5e58f7eb0f9233746aa514943f539434142ca3637eeed49dc90203de01005e1","observation_id":"638af9a0-d23d-411a-9f07-af12870f10e8","resolution":{"observed_at":"2026-08-05T11:32:39.666600Z","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":"2026-08-05T11:32:41.874752Z","title":"Hecke algebra characters and immanant conjectures","venue":null,"work_id":"c73b7839-ff0f-4eb0-87c5-f8ada08f6451","year":1993},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.051360Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:23eb02ff3a42bd09fb9de81d754976947b212476672b202b128b3a93af8e3094","observation_id":"8e2e0e20-fe2a-46f1-8597-ffea3ba0e29d","resolution":{"observed_at":"2026-08-05T11:32:41.994852Z","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":"2026-08-05T11:32:41.680121Z","title":null,"venue":null,"work_id":"d60dce48-2e5f-473b-bda1-ac140dc74861","year":2019},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.055955Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:da3dd734dfd23533208bae2f93c74b96996622d79809286ef63966b7e0cb44b8","observation_id":"066cd76e-d5bc-4f56-9197-fa86732f24b5","resolution":{"observed_at":"2026-08-05T11:32:41.756576Z","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":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:39.060251Z","title":"A proof of the Stanley–Stembridge conjecture","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.060251Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:f8c8333bf65863a570af472a711f95286b0d7369f08086b4a72580d3f529afad","observation_id":"4abceaf6-b4b0-49b7-bee5-f09a35f17116","resolution":{"observed_at":"2026-08-05T11:32:39.060251Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.09123","last_updated":"2025-04-12T08:17:45Z","snapshot_observed_at":"2026-08-16T12:41:49.792409Z","submitted_at":"2025-04-12T08:17:45Z","title":"Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law","version":1},"cited_work":{"arxiv_id":"2504.09123","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.09123","snapshot_observed_at":"2026-08-05T11:32:39.386939Z","title":"Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law","venue":"math.CO","work_id":"8ba01427-3985-42e0-95e6-6ac527bb2406","year":2025},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.064519Z"},"links":{"cited_paper":"/paper/2504.09123","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:5b5f2e2593bc054bbc75e8a49412efce3a89bb1fb12d7aae4e69251a498708c7","observation_id":"76d37bac-e4af-4d26-b937-8556af7357b9","resolution":{"observed_at":"2026-08-05T11:32:39.433869Z","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":"2026-08-05T11:32:41.512036Z","title":"Chromatic quasisymmetric functions and noncommutative P -symmetric functions","venue":null,"work_id":"fc6eb6a3-2820-4f0d-ba98-0a84ee50a029","year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.069476Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:9cc040962b62ec4aa52f680112c54c6a98f306d341530446158ff030b91dfe23","observation_id":"4d2bfc83-3dfa-43ed-9178-185f26aac517","resolution":{"observed_at":"2026-08-05T11:32:41.558344Z","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":"2410.12231","last_updated":"2024-10-17T05:59:04Z","snapshot_observed_at":"2026-08-16T13:08:56.959601Z","submitted_at":"2024-10-16T04:46:09Z","title":"A geometric realization of the chromatic symmetric function of a unit interval graph","version":2},"cited_work":{"arxiv_id":"2410.12231","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.12231","snapshot_observed_at":"2026-08-05T11:32:39.314821Z","title":"A geometric realization of the chromatic symmetric function of a unit interval graph","venue":"math.CO","work_id":"44d7db06-2410-4149-955c-0e67da94d657","year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.073783Z"},"links":{"cited_paper":"/paper/2410.12231","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:ce6c1175d815609db0e82680e51ee8e39dfcd4244ac97977b015605a1cefc7c6","observation_id":"c90344c9-7357-4145-bb1f-134f23b75d8c","resolution":{"observed_at":"2026-08-05T11:32:39.322054Z","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":"2301.00862","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:39.282084Z","title":"A geometric realization of Catalan functions","venue":null,"work_id":"b135b2e3-e4e7-4b80-a40b-3483de80287b","year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.078616Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:ecccc7205b4ad49201833cb59c54374616c891ed9d3ce2c4925bea4b05b40ff9","observation_id":"7fbc9840-7967-4232-ba52-ad72d10a021e","resolution":{"observed_at":"2026-08-05T11:32:39.293141Z","resolver_source":"raw_fallback","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":"2026-08-05T11:32:41.310270Z","title":"Robinson-Schensted correspondence for unit interval orders","venue":null,"work_id":"8fca46c1-b2e3-40b9-9bd9-f54e96c0e3c2","year":2021},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.083000Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:214acb35a0b0e1119f8a6e88db2af532f6b6c7be54b0325f49d85225218337f8","observation_id":"9630ee18-ad87-493c-b12e-71174cf8ac5f","resolution":{"observed_at":"2026-08-05T11:32:41.376751Z","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":"2026-08-05T11:32:41.162794Z","title":"Isomorphism of weighted trees and Stanley’s isomorphism conjecture for caterpillars","venue":null,"work_id":"f097a442-b626-492b-a255-9e966c2a8948","year":2019},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.087319Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:8ae223fa19d92aedd71fb2ad76858dd980f3f605d9da5cdb0c3f93f7367a5dd5","observation_id":"b1784dbb-4f04-4274-b3f4-d1f80c2f8f92","resolution":{"observed_at":"2026-08-05T11:32:41.227343Z","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":"2026-08-05T11:32:40.980859Z","title":"Matherne, Alejandro H","venue":null,"work_id":"db5da44d-40f0-4308-bccf-fe40fa91f189","year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.091795Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:efaeb99e387b183c9fd28319e258c2f111725cca245ef85b8eb6a5d694e4cfa5","observation_id":"5d22e78e-4949-4782-81b7-48adb871ed1b","resolution":{"observed_at":"2026-08-05T11:32:41.063512Z","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":"2026-08-05T11:32:40.797909Z","title":null,"venue":null,"work_id":"fb36bc44-649c-459f-b727-59af5c57c474","year":2016},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.096203Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:cdc6c86804df7e717da9e92ba1e2cbc1281a86f177e12c47189f37147871baa0","observation_id":"525d73b4-1d53-4fab-ba2d-3133e60808b3","resolution":{"observed_at":"2026-08-05T11:32:40.888488Z","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":{"arxiv_id":"2211.03953","last_updated":"2022-11-09T06:18:03Z","snapshot_observed_at":"2026-08-16T16:17:55.415433Z","submitted_at":"2022-11-08T01:59:10Z","title":"Cylindric $P$-Tableaux for (3+1)-Free Posets","version":2},"cited_work":{"arxiv_id":"2211.03953","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.03953","snapshot_observed_at":"2026-08-05T11:32:39.192695Z","title":"Cylindric $P$-Tableaux for (3+1)-Free Posets","venue":"math.CO","work_id":"c226844e-94e4-4e9c-b72d-b8b45312918b","year":2022},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.100498Z"},"links":{"cited_paper":"/paper/2211.03953","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:5fbed5fd60378c1a731cbcbbd3a86a649e37aee7fcb0d3062f34bfffac535f56","observation_id":"03a86ff4-ba99-40bc-a490-ed21697f4e84","resolution":{"observed_at":"2026-08-05T11:32:39.199354Z","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":"2026-08-05T11:32:40.616842Z","title":null,"venue":null,"work_id":"d5c2aa05-07f7-4ae7-bb97-fbf10c1c38f2","year":1995},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.105149Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:4479bd325f2e27ceb688194feb4e895b4d5b9371acb85bf4ea46d27e07f3f56a","observation_id":"e8c115d1-4767-47f6-a144-37c9e6c3bf01","resolution":{"observed_at":"2026-08-05T11:32:40.715831Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:40.424769Z","title":null,"venue":null,"work_id":"011319cf-a642-423d-acd2-d2a37efcf27e","year":1997},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.109603Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:fc9a4ac01821b918049c6001943fd9ac329b506c2cd0bf6735542bd583ac64da","observation_id":"2adf39b0-4ba4-45f3-8c81-501adaefbd1c","resolution":{"observed_at":"2026-08-05T11:32:40.509402Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:40.274086Z","title":null,"venue":null,"work_id":"2a0faebc-deb8-4d31-8444-c3bec8a77e8e","year":1998},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.114095Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:fa523eae47302806b30fa77a89a06387538f69f891e22d95b43983408c2f9d2d","observation_id":"0889727f-6ef7-4722-a3fb-8d5b5e21d819","resolution":{"observed_at":"2026-08-05T11:32:40.331925Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:40.133328Z","title":null,"venue":null,"work_id":"9f312e04-5b31-454e-a066-9d1d168371c4","year":1999},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.118419Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:d9f52640f8487f83f29714c9bb686ee741d5db451d713b3378481ca5338331a9","observation_id":"80bebd13-398b-4e2d-8e17-cce8b5bfaaa2","resolution":{"observed_at":"2026-08-05T11:32:40.195604Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:32:39.927160Z","title":"Stanley and John R","venue":null,"work_id":"e064c39f-0a25-42ac-82d7-d5d8c20ad8a0","year":1993},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.122654Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:f78025d6322fa430ff759bd801fb03d47ff05c9414121b1156e02cc15e27d834","observation_id":"db10634b-94f5-43e0-b8d8-c627ca5a8774","resolution":{"observed_at":"2026-08-05T11:32:40.024875Z","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":"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":"2311.08020","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.08020","snapshot_observed_at":"2026-08-05T11:32:39.168840Z","title":"A signed $e$-expansion of the chromatic quasisymmetric function","venue":"math.CO","work_id":"259693b3-d86a-42be-bd7c-1a0bc54e8a04","year":2023},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.127512Z"},"links":{"cited_paper":"/paper/2311.08020","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:faf9909ccb6eff4b7fe8228bbd8f4a40a309365768d6b95422cce61ed77bdc07","observation_id":"95abf204-9d07-4046-aa8b-c377ab2f3852","resolution":{"observed_at":"2026-08-05T11:32:39.176043Z","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":"2026-08-05T11:32:39.758141Z","title":"A class of trees determined by their chromatic symmetric functions","venue":null,"work_id":"795a0c82-9be2-4471-bbb2-2bca1f2a22a1","year":2024},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.132692Z"},"links":{"citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:3b42a61b3984dcbd46597df39ee91efec330969ef0affd1203e7743c60929b1c","observation_id":"748504a7-576c-4994-8ae1-11dd2046d933","resolution":{"observed_at":"2026-08-05T11:32:39.822451Z","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"}}],"paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":6,"verified_fuzzy":21},"total_outbound_references":37},"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 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2509.02841."}