{"as_of":"2026-08-15T08:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ffabe3aa4c81a1401b525d6236263cedeedd5ac204baa15caa68f0145bd5d9de","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-03T03:50:12.161465Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2607.02264/citation-record","integrity":"/paper/2607.02264/integrity","json":"/paper/2607.02264/citation-record.json","paper":"/paper/2607.02264"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-05T15:01:15.132252Z","title":"Mathematical Principles of Quantum Statistical Mechanics (in Japanese)","venue":null,"work_id":"8b63d99d-b4c8-4cc3-a009-1983bcb07033","year":2008},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:72ebefc31fdf45ba452a6615a126964d14e41f04c3c21bbad7f63fd5e559efcc","observation_id":"98c6e182-0413-4cb6-8a1b-42204ee66602","resolution":{"observed_at":"2026-07-05T15:01:15.133901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.116121Z","title":"The resolvent algebra: Ideals and dimension","venue":null,"work_id":"bda1fb6e-3284-4f72-bcf6-269ff193fb34","year":2014},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:8ff9296261ffe06efe4e6d0db969f44974b26786bac9de1ab3732137cc364218","observation_id":"20263d3e-19df-4d03-98b2-fb0324ed61e5","resolution":{"observed_at":"2026-07-05T15:01:15.118009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.119611Z","title":"Proper condensates","venue":null,"work_id":"d9fbe31d-05c0-47d7-a755-e1f815e32949","year":2022},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:df72b60b556eb1711cf76c4e1b772bc63847a36757b407488f9c7e68cd27beb9","observation_id":"5375a446-487d-454b-93bc-d99315efb12a","resolution":{"observed_at":"2026-07-05T15:01:15.121660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.125898Z","title":"Proper condensates and long range order","venue":null,"work_id":"ed010a8a-350e-4d96-ab18-3d0624288ded","year":2022},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:37602085b43eca12e05e4d1f6ee61ad5347bd2d67628d8edda77ad0df578650d","observation_id":"5c0e53e4-f91e-45a1-8b61-9ab6f6f43d4d","resolution":{"observed_at":"2026-07-05T15:01:15.128542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.122706Z","title":"The Resolvent Algebra: A New Approach to Canonical Quantum Systems","venue":null,"work_id":"ebb931ed-d5fc-4e16-8f34-3acf7eccb78b","year":2008},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:64dd2bdcc9f0c50f6e896cf515db0f02d8cb6130824de5de8846c3cfcbdf25de","observation_id":"5368a87f-4e33-43bd-a090-1531e5027651","resolution":{"observed_at":"2026-07-05T15:01:15.124902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.129577Z","title":null,"venue":null,"work_id":"db29246b-67eb-43e2-8200-762986a1b720","year":2023},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:c0d92b621df9303240ad92575dc615db51d3e5812a00555f2a5d8496f30fbb54","observation_id":"72b68268-18b2-4ca0-8fcb-f12bbe85e6c6","resolution":{"observed_at":"2026-07-05T15:01:15.131391Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.11714","last_updated":"2020-01-31T08:57:17Z","snapshot_observed_at":"2026-08-14T05:26:56.870398Z","submitted_at":"2020-01-31T08:57:17Z","title":"A path-integral analysis of interacting Bose gases and loop gases","version":1},"cited_work":{"arxiv_id":"2001.11714","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2001.11714","snapshot_observed_at":"2026-07-03T03:57:37.823816Z","title":"Frohlich, A","venue":null,"work_id":"600348b8-879b-4ad3-aad9-940062c5e2c1","year":2020},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"cited_paper":"/paper/2001.11714","citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:47fc27c9b973d56b6c38252c73c9f5b118a64ab3e3d6166f7b7a3bc790fa47dd","observation_id":"9a8c2b7e-6c2c-4fd6-9686-da36f07fbc12","resolution":{"observed_at":"2026-07-03T03:57:37.825644Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.108097Z","title":null,"venue":null,"work_id":"8582e14d-8cfe-4111-8a67-34c9bb8e3de7","year":1971},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:f83db9648226752fd87d0cb88bc8e4e373e34e0235cb09f5c65162a9dcf49239","observation_id":"df43733f-e5ce-4d5c-84b1-c87d69328497","resolution":{"observed_at":"2026-07-05T15:01:15.110072Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.01424","last_updated":"2026-04-07T21:16:54Z","snapshot_observed_at":"2026-08-13T07:14:54.749371Z","submitted_at":"2026-04-01T21:53:36Z","title":"A Note on the Resolvent Algebra and Functional Integral Approach to the Free Bose Einstein Condensation","version":2},"cited_work":{"arxiv_id":"2604.01424","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.01424","snapshot_observed_at":"2026-07-03T03:57:37.818547Z","title":"A Note on the Resolvent Algebra and Functional Integral Approach to the Free Bose Einstein Condensation","venue":"math-ph","work_id":"6d41b52f-d5e2-45ce-8253-9fe78b09b6a3","year":2026},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"cited_paper":"/paper/2604.01424","citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:409506ae4cf8efccb9c9278137f94a9f3e4dde03ded40ce438c1386e670b053e","observation_id":"829a7b67-2273-47a8-85c1-12356e3b9f84","resolution":{"observed_at":"2026-07-03T03:57:37.819871Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.09538","last_updated":"2026-06-08T14:21:46Z","snapshot_observed_at":"2026-08-02T15:21:44.103274Z","submitted_at":"2026-06-08T14:21:46Z","title":"No-Go Theorem for BEC in the Nelson and Pauli--Fierz Models","version":1},"cited_work":{"arxiv_id":"2606.09538","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.09538","snapshot_observed_at":"2026-07-03T03:57:37.821194Z","title":"No-Go Theorem for BEC in the Nelson and Pauli--Fierz Models","venue":"math-ph","work_id":"cfdf7a27-c8ee-4a3c-b397-1de7085e4175","year":2026},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"cited_paper":"/paper/2606.09538","citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:addf096112aa44f668b5b4c7a557360ef9aed8826ca66ed8d14b0579b9e87246","observation_id":"1c2ddde5-2a63-4fc9-b44c-17039d20a0aa","resolution":{"observed_at":"2026-07-03T03:57:37.822631Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.111063Z","title":"Euclidean quantum field theory, 1969","venue":null,"work_id":"83326e62-5d41-4725-a346-7183f27d9cce","year":1969},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:2ca49be540dde85d60d6cd51741504093d9491ae843e9af6747bda2e33425c4e","observation_id":"46274f53-3099-4a97-a93a-eefd37d93674","resolution":{"observed_at":"2026-07-05T15:01:15.112823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-07-05T15:01:15.113693Z","title":"Verbeure","venue":null,"work_id":"23f7f8a5-351e-47c5-ae30-407e3f5d9a76","year":2010},"citing_paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-03T03:50:12.161465Z"},"links":{"citing_paper":"/paper/2607.02264"},"observation_digest":"sha256:c2a7b5f1df0ce4991921c007b21401ef1ea713113a52de3344710d8e46e79ac7","observation_id":"bd12e7cf-04ff-4965-8ffd-354b7020ac91","resolution":{"observed_at":"2026-07-05T15:01:15.115251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.02264","last_updated":"2026-07-02T14:51:05Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-08T09:15:49.442847Z","submitted_at":"2026-07-02T14:51:05Z","title":"Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":3,"verified_fuzzy":7},"total_outbound_references":12},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.02264."}