{"as_of":"2026-08-14T15:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5c7cb44e091bb7bce99a857bff6835d8a721c8a1086102348b0ae9a2711aad54","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T17:17:16.417313Z","state":"measured"},{"denominator":53,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":53,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2502.00967/citation-record","integrity":"/paper/2502.00967/integrity","json":"/paper/2502.00967/citation-record.json","paper":"/paper/2502.00967"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T17:17:17.163273Z","title":null,"venue":null,"work_id":"6eb3952e-d6b1-4619-9f88-d3a1fd5a8376","year":null},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.189020Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:49c1074b4c870e628a312ef4d8e383fa91673693e811cb6ff5a04826e6cd0671","observation_id":"f16f453e-f2f4-4749-98d4-316afec11862","resolution":{"observed_at":"2026-08-09T17:17:17.167458Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.149943Z","title":null,"venue":null,"work_id":"d6cfebe8-37b6-4772-9f33-d2b1d8e73602","year":1922},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.194063Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:dd3b319727fe50583338521757942d19775490a0a30e5d33809bde13ec77f2ab","observation_id":"7bbfe504-de9f-412b-8022-3f78a2ca092a","resolution":{"observed_at":"2026-08-09T17:17:17.154407Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.136749Z","title":"Onthehistoryofquantitycalculusandtheinternationalsystem,","venue":null,"work_id":"9da6872e-90be-4818-ac57-894d09a75d6f","year":1995},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.199586Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:02c537488b32d4595b9e4f3c7bb389ee528996124cb2c605b93cdaf34ad01458","observation_id":"47e82b06-dc94-458d-8392-aa5c623f45b8","resolution":{"observed_at":"2026-08-09T17:17:17.141037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.123179Z","title":"Die Struktur des physikalischen Begriffssystems,","venue":null,"work_id":"ad15f5e3-39bd-41ee-9c84-5db6dbf330e6","year":1951},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.205151Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:1e2178fab902927f5c3d3404c9d7e3c1ce1a3be297acdecdde6a478c757d8478","observation_id":"d931ff66-3bc9-450c-8f16-33115bdf9062","resolution":{"observed_at":"2026-08-09T17:17:17.127517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.109250Z","title":"On the foundations of dimensional analysis,","venue":null,"work_id":"0ef87087-0200-4580-8b3a-b8251e4e8f17","year":1953},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.209883Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:2a03205d19b7c41b2002b09d06e2f15bbb623e364217ba82d81e6d8e83e8662e","observation_id":"f6d428f2-baf2-4638-9d58-f15f6e35ea0c","resolution":{"observed_at":"2026-08-09T17:17:17.113710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.095866Z","title":"Über die algebraische Struktur des Größenkalküls der Physik,","venue":null,"work_id":"6beea5ff-8821-41f8-9c3e-07ed826a9bf7","year":1961},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.214338Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:77721fdac6bd4d20c3ad941373d523b610d8620eb38afe3f21a57c9a61fb1627","observation_id":"af3f5de7-d146-48fe-8265-d275c8ea86c0","resolution":{"observed_at":"2026-08-09T17:17:17.100428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.081987Z","title":"An axiomatic approach to dimensions in physics,","venue":null,"work_id":"e029e12f-ff7c-48e8-adf0-59d45c2cb366","year":1964},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.218974Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:81a072b57969d4799124b4defccdb5c84d413eb401024bcd72cd439eee3c97c0","observation_id":"007071f3-b2e7-47d6-8394-9f9b850d6800","resolution":{"observed_at":"2026-08-09T17:17:17.086522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.068164Z","title":"A note on dimensional analysis,","venue":null,"work_id":"84cd34b1-6040-4bdf-b214-aa7be3d16b0d","year":1965},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.224131Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:10b787eed17473ba50416b9eec87d2a7faadd767b69ef074f83794beb008ca95","observation_id":"c1219cb3-385a-4dd8-8a42-cbeee74fe354","resolution":{"observed_at":"2026-08-09T17:17:17.072441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.054519Z","title":"Themathematicsofphysicalquantities: PartII:Quantitystructuresand dimensional analysis,","venue":null,"work_id":"1a6794d4-2594-42b6-a1e7-2394d555edca","year":1968},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.228385Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:efe4d63ee7098657fe5b7b9427c1ff6c21178c94485a9c9e6a53eeb961737b20","observation_id":"2592afaf-09f3-4da5-9ada-07aca410ad4e","resolution":{"observed_at":"2026-08-09T17:17:17.059025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.040967Z","title":"Magnitudes and rational numbers — A didactical analysis,","venue":null,"work_id":"71261c09-f8a2-45b5-95db-a15e06379b10","year":1969},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.232486Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:eb3d1d3df59188457290d78ace2728f53359d227911748571931b8fc38e30b47","observation_id":"3abe79de-e739-451e-8799-f673f69f4347","resolution":{"observed_at":"2026-08-09T17:17:17.045521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.027531Z","title":"Krantz, D","venue":null,"work_id":"94772689-8a35-4df9-b295-0cc9f9838398","year":1971},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.236590Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:5a5b525114e1e282978838fc3ff6b50c1587c967a91bdd47221939ee19bdfb74","observation_id":"db103bfb-944e-496f-a9dc-826c673c67ff","resolution":{"observed_at":"2026-08-09T17:17:17.031890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:17.013950Z","title":"Analysis im Größenkalkül der Physik,","venue":null,"work_id":"29f40622-b222-4177-9a96-3bc72f4bf0ee","year":1971},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.240699Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:dce93da22590925b068610f95d77e294f59ed409c4b75ee4c1b006ac344efa17","observation_id":"482ace57-8d13-4053-bdbe-0e7a67afa86a","resolution":{"observed_at":"2026-08-09T17:17:17.018377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.999649Z","title":"Amathematicaltheoryofthedimensionsandunitsofphysicalquantities,","venue":null,"work_id":"304dbc14-07b6-4f9f-992f-a8b6c5ae6c29","year":1971},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.244947Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:773fba302644b08ffb1dd71f3aa56937ddbf4bfe1dbfe968254917eb333b2748","observation_id":"f493747f-38a5-4d69-b510-b4ef765732e6","resolution":{"observed_at":"2026-08-09T17:17:17.003936Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.984892Z","title":"On the dimension group of classical physics,","venue":null,"work_id":"7fe03fd6-c4a9-4648-973d-a3e10a8dbfe4","year":1975},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.248950Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:c5e6ec04c0a33ee1cbefb8e1d1f4459e865b94d9a2c3fd5ecdafd0c6ec136ed2","observation_id":"05c53137-68ff-426f-be92-d13e0c6d0b41","resolution":{"observed_at":"2026-08-09T17:17:16.990305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.971449Z","title":"Zur Algebra physikalischer Größen und Maßein- heiten,","venue":null,"work_id":"f861e787-d3f6-4340-86d3-62a7ff74d589","year":1975},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.253018Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:ecc07658105e9372d39e17cd72971f651e512eb275ccc48772dbbec076823372","observation_id":"b1075179-cda3-42ac-bbbb-ce1fea2b9430","resolution":{"observed_at":"2026-08-09T17:17:16.975859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.957684Z","title":"Themathematicalfoundationsofdimensionalanalysisandthequestion of fundamental units,","venue":null,"work_id":"108b498b-a5da-4fe9-935e-3611ced17603","year":1978},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.256945Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:fdcc8d04a09ea14969fe57e7db0b560b820704f9e9c078cc9da40d8adcf87c5d","observation_id":"85852a21-ce9d-43fe-80fc-14066677f007","resolution":{"observed_at":"2026-08-09T17:17:16.962158Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.944201Z","title":"Amathematicaltheoryofphysicalunits,dimensions,andmeasures,","venue":null,"work_id":"4c04449c-5687-4a3a-a265-ad2b56dbe28c","year":1979},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.261164Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:5c51ef988ed88e81691096dd6488feb23b53e1e676b6ee1756c34b6e690f55db","observation_id":"bf031f74-1a99-49b1-9554-b9ae9a723604","resolution":{"observed_at":"2026-08-09T17:17:16.948423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.930479Z","title":"Mathematicalfoundationsofthetheoryofdimensionsandsimilarity,","venue":null,"work_id":"6188c8f3-cbe1-410b-9ffb-3d7f732e2621","year":1980},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.265436Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:024ff91048e72f17a51cb0b0acd086dc352e8754dfd5fa01b2a4321407e253b2","observation_id":"eb2e04b7-0872-4924-8e51-3c9ba096c266","resolution":{"observed_at":"2026-08-09T17:17:16.935041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.916911Z","title":"Surladescriptionintrinsèquedesgrandeursdimensionnelles,","venue":null,"work_id":"aad8d385-0620-466d-a575-dcfa5dc78699","year":1981},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.269653Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:9fd6828b913764cc1cb316cc9f0eeb0ca90b6ff2c50533f1a196ba351d79769f","observation_id":"f1a1b03d-81eb-435a-8335-5ee4979cf9b4","resolution":{"observed_at":"2026-08-09T17:17:16.921399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.903199Z","title":"Dimensional analysis,","venue":null,"work_id":"8affc492-b731-45b6-9be9-2be616f83544","year":1988},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.274046Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:0e321d35c4ac0a3a0b89a7b560c6a6e94a374d636821e11574f93845d3bd820b","observation_id":"21a056a6-805b-4856-93a9-5a92d6339dd6","resolution":{"observed_at":"2026-08-09T17:17:16.907825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.889837Z","title":null,"venue":null,"work_id":"e7e53139-0493-4445-ae04-8a8f7983be58","year":1995},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.278478Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:a02b17cdbc374ea2c557e691353352559ae44d5283f280208445ed2bdf6f2f30","observation_id":"04ae27c9-aedd-4b02-8752-c075d4e420c4","resolution":{"observed_at":"2026-08-09T17:17:16.893929Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.876217Z","title":"The algebraic structure of physical quantities,","venue":null,"work_id":"9c781662-2c29-4aa8-a631-3b00e2205453","year":2004},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.282703Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:a5e6bc7e26a2387bdcf72e00cf85bfae1a23e85974d9f00ec8779de515390257","observation_id":"971c8f56-c1a1-41bf-8e60-b748a0eae1fd","resolution":{"observed_at":"2026-08-09T17:17:16.880479Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.862746Z","title":"Dimensional analysis and qualitative methods in problem solving: II,","venue":null,"work_id":"21947143-c19c-4dc7-9962-30197208e17c","year":2009},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.288081Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:0399f4b9c6423b5e073f24f7d798139f1f800568c4f655567fe51290158d66f8","observation_id":"6463b1ac-6ec0-44e3-846b-789ef406dd2f","resolution":{"observed_at":"2026-08-09T17:17:16.867164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.849227Z","title":"Generalizing the algebra of physical quantities,","venue":null,"work_id":"8c254b5b-84f0-486c-befe-7fba05338dd7","year":2009},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.292253Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:30cb1148164cc89bde5d28186463d58b1b765f358c3f2a4b9d095cfc3adc7c02","observation_id":"40b3eb7f-4387-463b-a094-9453b0019bcb","resolution":{"observed_at":"2026-08-09T17:17:16.853628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.836145Z","title":"An algebraic approach to physical scales,","venue":null,"work_id":"8c3894a5-4282-43a7-b505-d1d75f5e1cb5","year":2010},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.296329Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:cd721356f591f1b967479447f4d196da9ea4386baf8d80bc29c90e63275fc86d","observation_id":"bf52101f-7e37-4067-8f4f-407826dedc0b","resolution":{"observed_at":"2026-08-09T17:17:16.840409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.822364Z","title":"A mathematical formalisation of dimensional analysis,","venue":null,"work_id":"c0132f84-b540-4e81-b4ab-3e9f52369444","year":2012},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.300504Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:7a70ae0804fe22ed7d51e164c83806071affd0924f9ff707e3e31a535a1585b2","observation_id":"581281dd-bf8b-4a43-9f07-f84d3276c265","resolution":{"observed_at":"2026-08-09T17:17:16.827304Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.808661Z","title":"Mathematicalstructureofunitsystems,","venue":null,"work_id":"69cd3bd8-e2ce-4207-8882-634b00d12fc6","year":2013},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.305327Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:60de54e64b0efe30eb7a678270aea001c43900509ab724b6d47564de3af91f6e","observation_id":"acd123f1-d797-4dc3-b48f-d2cbe0614cad","resolution":{"observed_at":"2026-08-09T17:17:16.813332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.795035Z","title":"Torsortheoryofphysicalquantitiesandtheirmeasurement,","venue":null,"work_id":"aa9ee10f-c11f-436a-b2d2-54bb16073efc","year":2017},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.309724Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:2943ed76e9ca2a51bdb4ad9c422009c761c65c9e32e9873c12381c8942dc2b98","observation_id":"651e035f-a73e-4f0a-a86c-b6f669dd8b10","resolution":{"observed_at":"2026-08-09T17:17:16.799639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.781404Z","title":"The algebraic structure of quantity calculus,","venue":null,"work_id":"e9a65281-e7fe-4933-b63e-f01fa07cbfa9","year":2018},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.314655Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:12671f24dbb5715f7108476dfbc397241d61539f16b94e99bfaf52d5e1555670","observation_id":"5b7a7711-791f-4688-b103-58f2ac4ed5c3","resolution":{"observed_at":"2026-08-09T17:17:16.785731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.768087Z","title":"Dimensioned algebra: Mathematics with physical quantities,","venue":null,"work_id":"a24df1c8-ea30-4b12-aae3-23c9fbd93336","year":2022},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.319123Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:d075c4a7807f3674f925f8c64d3766bf9cb37a96aef7b38d9a4c517924d1df65","observation_id":"7f214262-3a57-4a38-8d6e-fab51484c069","resolution":{"observed_at":"2026-08-09T17:17:16.772457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1408.5024","last_updated":"2015-04-16T09:52:33Z","snapshot_observed_at":"2026-08-08T14:21:56.849423Z","submitted_at":"2014-08-21T14:53:54Z","title":"Quantities, Dimensions and Dimensional Analysis","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.5024","snapshot_observed_at":"2026-08-09T17:17:16.323459Z","title":"Quantities, dimensions and dimensional analysis,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.323459Z"},"links":{"cited_paper":"/paper/1408.5024","citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:d230a267e1abeed0d953bd9af81fa189645f99d5d7774192221b9961ceb0c1b9","observation_id":"4f2ef35a-17b7-408a-baba-8a31a95971dc","resolution":{"observed_at":"2026-08-09T17:17:16.323459Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T17:17:16.754284Z","title":"Scalable monoids and quantity calculus,","venue":null,"work_id":"874e0855-01f6-4705-aa41-f952a179f3fd","year":2023},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.328252Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:eb2ff7cd34898401553792a9bda9d1ec5bded56bb63a105c5d2bf29a8718cfdd","observation_id":"fc135a5b-d08d-4b0a-89a1-4cb123f525ae","resolution":{"observed_at":"2026-08-09T17:17:16.758935Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.740717Z","title":"Partial fields and matroid representation,","venue":null,"work_id":"827b6f09-d24e-4a7f-82d0-e1a00ef99f70","year":1996},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.332683Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:f8278a222d0123fc6c41d6ba6ed7182ae4fed4b38d9e36354435a38aeaa0d1e6","observation_id":"e90f547d-3348-4502-bc62-f29c99600b98","resolution":{"observed_at":"2026-08-09T17:17:16.745187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.727326Z","title":"Hazewinkel, Encyclopaedia of Mathematics: Supplement Volume I(Springer, 1997)","venue":null,"work_id":"11e5d2e7-661a-4d72-8d7c-d7ecd392fb4f","year":1997},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.336977Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:598784b95434b939a965a26bb965cee39ce21eda313c84637b5f032fd6d9d558","observation_id":"1d6dddea-fc04-48de-9874-0ea7e98b8fbb","resolution":{"observed_at":"2026-08-09T17:17:16.731743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.713243Z","title":"Fuchs, Abelian groups(Springer, 2015)","venue":null,"work_id":"24b75157-d36f-4d77-9135-65147c960f58","year":2015},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.341193Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:5548f8c6dd8989a9d33aa89fb015ad576598ff59f7134bbf34ea6052dd04f53b","observation_id":"91e9a654-773b-478b-93d9-aae20eb47a7d","resolution":{"observed_at":"2026-08-09T17:17:16.717963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.699742Z","title":"Real-andimaginary-timefieldtheoryatfinite temperature and density,","venue":null,"work_id":"cfa62456-6794-4132-996f-d606be028979","year":1987},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.345293Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:bb78ac309f8251cace52901f70735c359dddfd0ab986faf4a5081e65673cce61","observation_id":"a8414fe4-18c7-4384-a3c4-593c9177b3ae","resolution":{"observed_at":"2026-08-09T17:17:16.704061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.686691Z","title":"Stefanucci and R","venue":null,"work_id":"a8ca0c13-de12-4893-ac95-245412709d4e","year":2013},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.349904Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:954fbae2fd4dfbc3213daf2862618869486603cf3b25fc5137fe77c98f591f76","observation_id":"64dc8e73-209f-4ec7-b162-c878f9976032","resolution":{"observed_at":"2026-08-09T17:17:16.691003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.673349Z","title":"Relativistic field theory of unstable particles,","venue":null,"work_id":"2e8f481b-695b-45e8-9412-16f31b19ef66","year":1958},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.353989Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:7e816e7f1228904b19a7babc75f25db77dd87fdca8a5584d79baa74cfb19b659","observation_id":"92a3b9b0-374e-4325-b144-07a580299b72","resolution":{"observed_at":"2026-08-09T17:17:16.677615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.660548Z","title":"Unstable particles in S-matrix theory,","venue":null,"work_id":"92199849-8f03-488f-9e7d-e86fd0c3b4cb","year":1963},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.358217Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:69811c653b381a8e0f7d62cb0908f290f24689ebce3cec8413b5d890b701ccf3","observation_id":"f2d636a3-b062-48bb-8f94-b74eae7f9b5e","resolution":{"observed_at":"2026-08-09T17:17:16.664860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.647274Z","title":"Thecomplex-massschemeforperturbativecalculations with unstable particles,","venue":null,"work_id":"4f9de3a3-69d9-442c-8f73-05274dd7bff8","year":2006},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.362354Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:2ddb442ffb165acd23a711c85db40c5a7e01af27e8bb9c166885b1fb91e2cbfc","observation_id":"e76c30aa-0162-4d8c-a1bb-85060eee8fb0","resolution":{"observed_at":"2026-08-09T17:17:16.651731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.633119Z","title":"Complex quantities and their use in electrical engineering,","venue":null,"work_id":"59639d3d-df36-4b82-b123-669e9aa1efeb","year":null},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.366540Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:a42a7ead5b30adaa440b4337cf6b29c74f4dee9c80d7c2ece480872fb6231279","observation_id":"e07f1631-77ed-4416-abc4-e8a7ef6a81d0","resolution":{"observed_at":"2026-08-09T17:17:16.637946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.619853Z","title":"Nishimori and G","venue":null,"work_id":"26eafe76-2178-4869-9d0f-32d27006d322","year":2010},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.370711Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:5072227088591c3ac4266e132582997bd97db00bac44011571a6508ef72f5357","observation_id":"ec2e30fe-0d01-450e-bd3e-950e7ce2b2a5","resolution":{"observed_at":"2026-08-09T17:17:16.624215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.606024Z","title":"Critical phenomena and renormalization-group theory,","venue":null,"work_id":"e898282d-466c-44e2-b0cc-de1bffadb3d9","year":2002},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.374771Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:cfb64d2c02b20f23ee360ccbeeb474bbb30ab4b01ddb3cd8f2da3a96a4033e50","observation_id":"f31012aa-fbca-486a-b3c7-4d05439e4626","resolution":{"observed_at":"2026-08-09T17:17:16.610866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.592685Z","title":"Bunde and S","venue":null,"work_id":"879cbd8c-cb29-4ccd-b547-6ec4732f3f15","year":2013},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.378875Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:8111e8a831d6d5303f8225ac9e9aa177799a2a24f2a5e6efd4df3624743d67f6","observation_id":"eef61ea4-b4ed-4b88-b782-72b1ee66f34e","resolution":{"observed_at":"2026-08-09T17:17:16.596936Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.578945Z","title":"Colloquium: Fractionalcalculusviewofcomplexity: Atutorial,","venue":null,"work_id":"c7c74c63-bbf9-43b5-af6f-11d6565af495","year":2014},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.383090Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:5b05e6ba5e4e148af0144fd14840e01b1adc787922520002aa40b979ea065a49","observation_id":"a074cd52-f458-4b29-b6e7-b0806fda9b7e","resolution":{"observed_at":"2026-08-09T17:17:16.583317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.565036Z","title":"Percolation model with continuously varying exponents,","venue":null,"work_id":"43353f1d-47b5-4064-965f-dced5b16f096","year":2013},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.387513Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:7dcc671df08c55b4f74c4a8129115d2aa3798555982dc2d694e6b43167e635ba","observation_id":"1872e9be-c71b-4ddb-82d0-b0d84701150d","resolution":{"observed_at":"2026-08-09T17:17:16.569518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.550763Z","title":"A method of gauge-invariant regularization,","venue":null,"work_id":"998a68d8-6e3c-4eb6-ba8e-078c14ce4d36","year":1972},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.391535Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:c4b4914b63ace230685ab7bd4e531269334e8ca0e23c81d299060904e9edf583","observation_id":"b10a6278-2e01-432a-b624-84849cd6011a","resolution":{"observed_at":"2026-08-09T17:17:16.555799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.536382Z","title":"Dimensionalregularizationforzero-massparticlesin quantum field theory,","venue":null,"work_id":"4e962f8d-38ab-4e93-95b5-a5ae02ca29ba","year":1974},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.395763Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:1f0cd7ee45a1f3090cc179f773c3a8370987084642d61c935c26c95eb2c97213","observation_id":"52df5da7-15f3-45dc-92e9-6f6714245064","resolution":{"observed_at":"2026-08-09T17:17:16.540914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.521925Z","title":"On the theory of scales of measurement,","venue":null,"work_id":"9b7e3e08-3c6c-4ebb-bd1e-a7fbff37d321","year":1946},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.400279Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:11dc3cc6e23b3397b4dca40a736c42744ec25743dd89225aec658c83bc51363b","observation_id":"71239205-3713-4054-8987-1a06a639401c","resolution":{"observed_at":"2026-08-09T17:17:16.526162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.508096Z","title":"Pretty mathematics,","venue":null,"work_id":"be57d32b-8552-46e1-8401-1adad9792de0","year":1982},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.404426Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:082ed816d19131bf2e6ee5a2602b4264a5164aab23b8549cecdde4c1c3509487","observation_id":"f9d498e7-3ca0-45af-b784-a94bff0977f2","resolution":{"observed_at":"2026-08-09T17:17:16.512788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.493871Z","title":null,"venue":null,"work_id":"9fb12a5c-fabe-441c-952e-02ab39c3c54a","year":null},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.408495Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:71f55720eff46a9ee666ea66e009aa49259a66251375664394dbc8ac1ad28203","observation_id":"f4b79fa7-efd9-4aa5-955a-4e504b1df27e","resolution":{"observed_at":"2026-08-09T17:17:16.498292Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.479341Z","title":"Groupoids: Unifying internal and external symmetry. A tour through some examples,","venue":null,"work_id":"8541e816-6edd-48ec-907a-05026cf25c74","year":1996},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.412639Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:5fdee89256de0d92ff07fb7699593b4a5eb3c06d754390552e4c6dd6355b9d58","observation_id":"f8d9bcfb-50c9-44b4-b1f3-ddced20b43fc","resolution":{"observed_at":"2026-08-09T17:17:16.484601Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T17:17:16.463504Z","title":"AlgebraicconstructionsofBrandtgroupoids,","venue":null,"work_id":"64ac47f9-49bb-42a9-8844-844271169463","year":2002},"citing_paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-09T17:17:16.417313Z"},"links":{"citing_paper":"/paper/2502.00967"},"observation_digest":"sha256:f2d6862ad022d6377b93cd7810d55880457374b55878990b52709d8925c1144f","observation_id":"612cb063-371d-412c-9fcc-7305c900cffd","resolution":{"observed_at":"2026-08-09T17:17:16.469504Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.00967","last_updated":"2025-02-03T00:18:50Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-14T12:02:55.449314Z","submitted_at":"2025-02-03T00:18:50Z","title":"Physical quantities as a partially additive field"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":48},"total_outbound_references":53},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2502.00967."}