{"as_of":"2026-08-08T15:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:73d6e22e258449ddeac392ad926bca56d28c57be4a7f890f69ea1f04cf1efa4e","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:48:17.190198Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T11:56:55.607824Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-08-07T12:48:17.190198Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.23572","last_updated":"2025-05-29T15:45:38Z","snapshot_observed_at":"2026-08-07T12:40:48.723417Z","submitted_at":"2025-05-29T15:45:38Z","title":"Linear programming bounds in homogeneous spaces, I: Optimal packing density","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:48:17.190198Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2505.23572"},"observation_digest":"sha256:c8f7090176a505cecb475ba6f39968702b6a20a369e9b0e64a28ea75c2534f70","observation_id":"a69bcf77-eb82-4e5a-a590-9ecf25d65ccc","resolution":{"observed_at":"2026-08-07T12:48:17.190198Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-08-07T01:03:50.282301Z","title":"Campos, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.12924","last_updated":"2025-06-15T17:49:35Z","snapshot_observed_at":"2026-08-07T00:35:09.653437Z","submitted_at":"2025-06-15T17:49:35Z","title":"Optimal Reconstruction Codes with Given Reads in Multiple Burst-Substitutions Channels","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T01:03:50.282301Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2506.12924"},"observation_digest":"sha256:ddb78d278daaaeeda28a6766568f2a2338d66f8bdd2363c02646a52a4fa5f945","observation_id":"b25fe724-b028-4dbd-831a-dd9ddb93b607","resolution":{"observed_at":"2026-08-07T01:03:50.282301Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":"2312.10026","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-07-02T11:56:55.607824Z","title":"A new lower bound for sphere packing.Preprint, arXiv:math.MG/2312.10026","venue":null,"work_id":"c8426118-c923-4de3-8fec-172bc28a7383","year":2023},"citing_paper":{"arxiv_id":"2511.08406","last_updated":"2026-03-24T15:24:10Z","snapshot_observed_at":"2026-08-07T11:32:50.215287Z","submitted_at":"2025-11-11T16:22:18Z","title":"The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-25T07:12:56.049458Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2511.08406"},"observation_digest":"sha256:f7444db746edec30c5bb1692d5e32e48dfb672f9ad24d57706bf60d4aa2015d2","observation_id":"bea807c8-4d27-4239-bf71-1cd1a5e6c66d","resolution":{"observed_at":"2026-05-25T07:15:27.911340Z","resolver_source":"arxiv_id","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":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":"2312.10026","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-07-02T11:56:55.607824Z","title":"A new lower bound for sphere packing.Preprint, arXiv:math.MG/2312.10026","venue":null,"work_id":"c8426118-c923-4de3-8fec-172bc28a7383","year":2023},"citing_paper":{"arxiv_id":"2604.17509","last_updated":"2026-04-24T15:05:10Z","snapshot_observed_at":"2026-07-06T23:04:37.370465Z","submitted_at":"2026-04-19T16:00:01Z","title":"Rado's covering problem for cubes and balls: a semi-survey","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T05:22:44.757060Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2604.17509"},"observation_digest":"sha256:8a7fa46353a73451274f91360e0d18fa519fc1f3877c71dfa255f6ff56f04b8e","observation_id":"4d2748a2-f715-4a3e-a263-d22ed93157b7","resolution":{"observed_at":"2026-05-10T09:23:37.619663Z","resolver_source":"arxiv_id","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":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":"2312.10026","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-07-02T11:56:55.607824Z","title":"A new lower bound for sphere packing.Preprint, arXiv:math.MG/2312.10026","venue":null,"work_id":"c8426118-c923-4de3-8fec-172bc28a7383","year":2023},"citing_paper":{"arxiv_id":"2605.19809","last_updated":"2026-05-19T13:07:52Z","snapshot_observed_at":"2026-07-06T23:30:30.141040Z","submitted_at":"2026-05-19T13:07:52Z","title":"Deterministic Volume Estimation of Truncated Hypercubes","version":1},"reference_index":261,"source":"arxiv_source","source_observed_at":"2026-05-20T02:14:48.411748Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2605.19809"},"observation_digest":"sha256:4ceb23582f4739a560f5f4f6a5cdd087427726a0d1a4572eed67e3ad54d0006e","observation_id":"86c58133-4a77-4a10-9502-e0fa46d6662a","resolution":{"observed_at":"2026-05-20T02:17:58.456688Z","resolver_source":"arxiv_id","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":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":"2312.10026","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-07-02T11:56:55.607824Z","title":"A new lower bound for sphere packing.Preprint, arXiv:math.MG/2312.10026","venue":null,"work_id":"c8426118-c923-4de3-8fec-172bc28a7383","year":2023},"citing_paper":{"arxiv_id":"2606.05105","last_updated":"2026-06-04T09:51:42Z","snapshot_observed_at":"2026-08-07T14:49:44.923717Z","submitted_at":"2026-06-03T17:07:07Z","title":"Stochastically evolving ellipsoids with symmetries","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T02:42:11.719219Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2606.05105"},"observation_digest":"sha256:13f961d8e29621e7855366d2fabb7dda31fc8c97d71ce9129d028d28de3a4aa5","observation_id":"6b6cf440-b777-4582-98da-f8c7f8d9ca30","resolution":{"observed_at":"2026-07-02T11:56:55.609213Z","resolver_source":"arxiv_id","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":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-07-30T13:55:55.348633Z","title":"Campos, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23873","last_updated":"2026-07-26T22:28:10Z","snapshot_observed_at":"2026-07-30T23:56:52.972361Z","submitted_at":"2026-07-26T22:28:10Z","title":"A phase transition for the hard sphere model on the hyperbolic plane","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-30T13:55:55.348633Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2607.23873"},"observation_digest":"sha256:0b27b9e727707b9d3b113c8baadd013175d2ce17ed865a6be0e827e976f35d64","observation_id":"a08ebbda-79c5-4f0b-8c7b-e2fd8b90b486","resolution":{"observed_at":"2026-07-30T13:55:55.348633Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.10026","last_updated":"2023-12-15T18:46:48Z","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.10026","snapshot_observed_at":"2026-08-01T00:30:26.989506Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.26271","last_updated":"2026-07-28T21:02:45Z","snapshot_observed_at":"2026-08-07T00:27:01.146926Z","submitted_at":"2026-07-28T21:02:45Z","title":"Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-01T00:30:26.989506Z"},"links":{"cited_paper":"/paper/2312.10026","citing_paper":"/paper/2607.26271"},"observation_digest":"sha256:6b2e263b18673fa8536920a5fee3fa1774bee737bb7c96880d0d96c869129fb9","observation_id":"bfc1164f-c9ee-43de-849d-405453be8264","resolution":{"observed_at":"2026-08-01T00:30:26.989506Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2312.10026/citation-record","integrity":"/paper/2312.10026/integrity","json":"/paper/2312.10026/citation-record.json","paper":"/paper/2312.10026"},"outbound":[],"paper":{"arxiv_id":"2312.10026","last_updated":"2023-12-15T18:46:48Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-07-06T17:03:02.786273Z","submitted_at":"2023-12-15T18:46:48Z","title":"A new lower bound for sphere packing"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2312.10026."}