{"as_of":"2026-08-09T05:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3640f870d92f0d3620bd7ab9d7b5e0e0ad79f6104574707ff962d61b1837cc9f","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T01:39:32.826763Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2607.22767/citation-record","integrity":"/paper/2607.22767/integrity","json":"/paper/2607.22767/citation-record.json","paper":"/paper/2607.22767"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf00383170","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Order","work_id":"15b5ac1a-f677-4136-a035-ebb58c9a704e","year":1990},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.748857Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:b141c2b8d7f5804309d61c1a2e4be223484f95d8f0a4b2960dd1cbdbd1404a5a","observation_id":"80934c4b-8414-4568-a2f6-50ff50031d97","resolution":{"observed_at":"2026-08-04T01:44:19.224653Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.08283","last_updated":"2016-03-28T02:31:22Z","snapshot_observed_at":"2026-07-06T04:50:49.861226Z","submitted_at":"2016-03-28T02:31:22Z","title":"The unimodality of the Ehrhart $\\delta$-polynomial of the chain polytope of the zig-zag poset","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.08283","snapshot_observed_at":"2026-08-04T01:39:32.753712Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.753712Z"},"links":{"cited_paper":"/paper/1603.08283","citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:92d9e0f5e91b92c9f024e9f92a07b0098440fa6a4001e88bcd1b5778c57b22b7","observation_id":"40c8c7b2-a6b3-42f0-b6cb-66a3657d7a06","resolution":{"observed_at":"2026-08-04T01:39:32.753712Z","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":"2026-08-04T01:39:32.758102Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.758102Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:1897be03fd3879e81666cb08d3eb4f0efb4ec3dd737bc444a6c3fa41260c7c97","observation_id":"71735c1f-8e5e-49d1-8358-81274a3bb30f","resolution":{"observed_at":"2026-08-04T01:39:32.758102Z","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":"2026-08-04T01:39:32.762246Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.762246Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:4cb7db024d41aab2a0b166d6431ddc1d1f3adbb0194ccf997a99e1968c11f376","observation_id":"a209357c-c82d-484a-ba50-34b5538ac4e0","resolution":{"observed_at":"2026-08-04T01:39:32.762246Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.16403","last_updated":"2026-07-28T09:01:03Z","snapshot_observed_at":"2026-08-08T05:56:23.330596Z","submitted_at":"2025-03-20T17:55:18Z","title":"Skew shapes, Ehrhart positivity and beyond","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.16403","snapshot_observed_at":"2026-08-04T01:39:32.766693Z","title":"Ferroni, A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.766693Z"},"links":{"cited_paper":"/paper/2503.16403","citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:b5b1312e398a6df428456c9f9a60c656e8e48dba174e93049952f1c5e83e3310","observation_id":"10361458-8ecf-4134-9d9d-c007a39396fc","resolution":{"observed_at":"2026-08-04T01:39:32.766693Z","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":"10.1016/0097-3165(81)90062-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Combinatorial Theory Series A","work_id":"d313d7c5-b924-4531-9d7c-a233d342d9fe","year":1981},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.771126Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:9b25249dd02ddf244da16a6cb16fe4c40f8839b3d6a499077b8f8942940e7247","observation_id":"b87cd3f4-be25-4178-834f-e0f7bc333954","resolution":{"observed_at":"2026-08-04T01:44:19.118037Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T01:39:32.775872Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.775872Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:4dbf6958335f9720dcd81b15a2b1c79fc56de25ac38aee39a39d01e8ce78eef3","observation_id":"4ebabd96-f50c-4717-86d6-d919ebd33ee4","resolution":{"observed_at":"2026-08-04T01:39:32.775872Z","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":"10.1090/s0002-9947-97-01791-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Transactions of the American Mathematical Society","work_id":"826acb4f-1b1c-4e3b-9537-fd3f249bec0c","year":1997},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.779757Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:be0d5bc08c9e11362e162474799376b95e91a0bbc32816a63c9af7b7672974eb","observation_id":"eef7c2e9-8ffc-4d4b-a8ad-7ad5b9854143","resolution":{"observed_at":"2026-08-04T01:44:19.029705Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.11225","last_updated":"2026-07-13T08:15:29Z","snapshot_observed_at":"2026-08-04T05:18:39.457974Z","submitted_at":"2026-07-13T08:15:29Z","title":"Combinatorial interpretation of the coefficients of the order polynomial of fence posets","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.11225","snapshot_observed_at":"2026-08-04T01:39:32.783718Z","title":"Kahane,Combinatorial interpretation of the coefficients of the order polynomial of fence posets, arXiv:2607.11225v1 [math.CO], 13 July 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.783718Z"},"links":{"cited_paper":"/paper/2607.11225","citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:e5f8794409c6eac9c24fdc2f9bc5d03c3fb00a4ee6795d78055542c54d34ca20","observation_id":"5a77e626-eef1-4e88-874d-6018eda6c66a","resolution":{"observed_at":"2026-08-04T01:39:32.783718Z","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":"2026-08-04T01:39:32.787825Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.787825Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:0f0b8ac2edd4bf84ed369ebb909edb982c4bc68cb33cb6176bda08331a60a038","observation_id":"565b6fe6-b021-4d10-980d-368738ea4bcf","resolution":{"observed_at":"2026-08-04T01:39:32.787825Z","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":"2026-08-04T01:39:32.791956Z","title":"Kantarcı Oğuz,Oriented posets, rank matrices andq-deformed Markov numbers, Discrete Math.348(2025), no","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.791956Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:6484346cce8de657e1fc1b19a903e6dc7083b44e20a444b64e444cae64481ec2","observation_id":"fcc7e15a-6032-4ef9-9ee2-ea794b0b6e91","resolution":{"observed_at":"2026-08-04T01:39:32.791956Z","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":"10.1007/s00026-023-00683-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T01:44:18.836674Z","title":"Kantarcı Oğuz, C","venue":null,"work_id":"34841b94-4bd0-40d9-9216-d8c643366ff2","year":2024},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.795601Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:c61ecc9679e25247394dbaba113c1096bf4a344d7bb2458e877becfceec40918","observation_id":"14dc83f1-f71c-43ab-a28c-4107f3696334","resolution":{"observed_at":"2026-08-04T01:44:18.955214Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T01:39:32.799967Z","title":"Kantarcı Oğuz and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.799967Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:1798f45edfb181ca1d39e4321dd7cbfbeb2207af33aa8837d4ec008d7cc65fde","observation_id":"ee83d99e-46b3-4337-88cf-2bc4dd834939","resolution":{"observed_at":"2026-08-04T01:39:32.799967Z","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":"2026-08-04T01:39:32.803637Z","title":"Lundström and L","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.803637Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:f39f5e4301703061a63faf5b46bd3760f343ff7a3a94252fc43ec4c2831ed2ae","observation_id":"4a8cbed0-b161-4783-b24a-9414eba59a4e","resolution":{"observed_at":"2026-08-04T01:39:32.803637Z","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":"2026-08-04T01:39:32.807643Z","title":"Morier-Genoud and V","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.807643Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:b0ee5950c036e9db355c50cbeb874134a54aca3b457233bc00a03449c54e33c6","observation_id":"492091c2-a04e-4a00-95bf-4f9fdadab3f2","resolution":{"observed_at":"2026-08-04T01:39:32.807643Z","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":"2026-08-04T01:39:32.811355Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.811355Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:6641a8d8cf53920ccf4401bf0acdb924529b0a19c02e90fe67f034b87c5e7349","observation_id":"0ca1c5d9-5773-44de-8717-74ef3b457a9c","resolution":{"observed_at":"2026-08-04T01:39:32.811355Z","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":"2026-08-04T01:39:32.815072Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.815072Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:9474fe2aef37491a1d20f149f6781278c18d06a96a839271f05b1ea577c55ca6","observation_id":"a8032b6d-5728-4654-b007-71869c343d9a","resolution":{"observed_at":"2026-08-04T01:39:32.815072Z","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":"2026-08-04T01:39:32.818915Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.818915Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:237861251798636c6698b71193da82d2b2402beef399cf91145aa237386e317b","observation_id":"b746d001-2e61-4593-9096-9acd61b4a399","resolution":{"observed_at":"2026-08-04T01:39:32.818915Z","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":"2026-08-04T01:39:32.822750Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.822750Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:ee8001eab2fd8232c867aa9b88605c26072e9529190ae4a0392824b9348c2fdf","observation_id":"2b702ed8-41e5-4099-991e-6b054bef784a","resolution":{"observed_at":"2026-08-04T01:39:32.822750Z","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":"2026-08-04T01:39:32.826763Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T01:39:32.826763Z"},"links":{"citing_paper":"/paper/2607.22767"},"observation_digest":"sha256:1f682c5a414a9ffda7deefa9317dcaa3d6e66f694585512cdb2dbb9d24c41230","observation_id":"63c2e706-762c-4836-b087-dd2fb68abb7d","resolution":{"observed_at":"2026-08-04T01:39:32.826763Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.22767","last_updated":"2026-07-31T19:11:04Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-07T18:33:15.635687Z","submitted_at":"2026-07-24T03:35:32Z","title":"Bernstein Transfers and Greedy Records for Fence and Circular-Fence Order Polynomials"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":20},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.22767."}