{"as_of":"2026-08-09T04:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8bd2e92699f3572ebd74fe18b04c0d05fc764eaf324b4934ca4be073e8b1437e","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:33:29.731301Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T12:33:27.842697Z","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":"2026-07-03T22:29:00.499459Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"cited_work":{"arxiv_id":"2507.02627","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.02627","snapshot_observed_at":"2026-07-03T22:29:00.499459Z","title":"Bhattacharya, N","venue":null,"work_id":"ebf909c2-9e57-48fd-972c-12cafa4ae054","year":2025},"citing_paper":{"arxiv_id":"2606.17381","last_updated":"2026-06-16T00:37:43Z","snapshot_observed_at":"2026-07-06T23:52:57.359941Z","submitted_at":"2026-06-16T00:37:43Z","title":"Large deviation principle for friendship-biases in Galton--Watson trees","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T23:34:44.828718Z"},"links":{"cited_paper":"/paper/2507.02627","citing_paper":"/paper/2606.17381"},"observation_digest":"sha256:8f3cdbcfb3802e86338ec7cc61f1a1c764d9bbaf56749e6660ad2edb0d36b0c8","observation_id":"826a4feb-6306-436b-ae9e-f3453243deac","resolution":{"observed_at":"2026-07-03T22:29:00.500822Z","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":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.02627","snapshot_observed_at":"2026-08-01T12:33:27.842697Z","title":"arXiv preprint arXiv:2507.02627 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.19549","last_updated":"2026-07-21T19:51:09Z","snapshot_observed_at":"2026-08-07T23:29:11.841534Z","submitted_at":"2026-07-21T19:51:09Z","title":"The Generalized Friendship Paradox for Eigenvectors","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-01T12:33:27.842697Z"},"links":{"cited_paper":"/paper/2507.02627","citing_paper":"/paper/2607.19549"},"observation_digest":"sha256:5a77a6129d3c397037b4ffe55228d7ca3eb2bad5be8a1d07d915d511cf83c9f2","observation_id":"4954022d-476f-445e-8cf3-f098b0dba81a","resolution":{"observed_at":"2026-08-01T12:33:27.842697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.02627/citation-record","integrity":"/paper/2507.02627/integrity","json":"/paper/2507.02627/citation-record.json","paper":"/paper/2507.02627"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:33.258213Z","title":null,"venue":null,"work_id":"a9192abe-1da2-4c93-a25c-a5ae89f35262","year":1991},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.177418Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:acc4db7f609da68ca78ec6e5dd691bcb862042e6dc05c3d6e80cb0393c2f046b","observation_id":"0329480b-952b-4ebc-9ea0-95606cec0ba0","resolution":{"observed_at":"2026-08-06T20:33:33.437097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:32.979203Z","title":"Christakis and J.H","venue":null,"work_id":"96fed875-a91b-4f41-ae52-0b6d27f817dc","year":2010},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.221208Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:1f3b83b99dc664cacd987032a179e6691a2a760b8ac7491fba8b19f8cdf70e57","observation_id":"23f84b1a-1bef-4be1-974b-b32c5d582218","resolution":{"observed_at":"2026-08-06T20:33:33.109084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:32.751276Z","title":"what do your friends think?","venue":null,"work_id":"0a0cec93-0993-4801-b2dd-73e2cbfe3a93","year":2021},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.361635Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:8795f2ab8565fa26306d489002a87d83bc57beeb7d30f20e3c11bbb3a7cb6d85","observation_id":"8ac1146d-8509-47ed-b83d-1bbe7c0863f6","resolution":{"observed_at":"2026-08-06T20:33:32.831175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:32.456344Z","title":"Cantwell, A","venue":null,"work_id":"2f6decc9-47a1-4417-bbfc-1040c054db44","year":2021},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.436701Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:90b810c247db9c904d9e5a6dc36c62a0c3eb54fb2624a9b2c9471db59dd8e7e5","observation_id":"e69800ff-c4bf-4b82-ae04-700b5a1ffb47","resolution":{"observed_at":"2026-08-06T20:33:32.666714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:32.123197Z","title":null,"venue":null,"work_id":"8e64a72c-1ede-4534-a12a-2922e4ad1931","year":2019},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.555238Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:1bc482554253ae97ca060c9f30f6d3783c378f9f5429e235e7ea26b985674e40","observation_id":"a3cf52ab-4886-4a3a-82e5-7a8d32501ee9","resolution":{"observed_at":"2026-08-06T20:33:32.289786Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:31.886386Z","title":"Cao and S.M","venue":null,"work_id":"fa5b140f-a60f-4c09-b53e-f9f9abf51696","year":2016},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.641140Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:946045e464b54fd6a1915bd2c961bb1b0186eb9895d60311eeefa23e308b7c68","observation_id":"f6546ded-5857-4934-8a2d-b5bce384ff73","resolution":{"observed_at":"2026-08-06T20:33:31.995227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:28.738181Z","title":"Hazra, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.738181Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:b742829227892f3d149d192415e0640a426ee4da4b6dcccb8250844ff4eba63e","observation_id":"a4a903cb-be0d-4785-a4a0-e167d7aeb299","resolution":{"observed_at":"2026-08-06T20:33:28.738181Z","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":"2026-08-06T20:33:31.647860Z","title":"Eom and H.-H","venue":null,"work_id":"2556d9e0-c567-4011-adf6-8380f98779d8","year":2014},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.833925Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:942ac237d8d6716b635a7a6dfd51bb67bbf495c0a41cda930f9f261c4a6c6f67","observation_id":"28fa73d6-7307-4c77-83c7-834afc514ea8","resolution":{"observed_at":"2026-08-06T20:33:31.796588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:31.423633Z","title":"Hodas, F","venue":null,"work_id":"771a9fae-b83e-499d-88f9-32c6ca3e5e8b","year":2021},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:28.943427Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:533782cdb6931626e25fc84bad9e5e10c4d119211cc9b6db4437661f9f52de3d","observation_id":"184568f7-b805-4146-b214-68dbb6c1cd27","resolution":{"observed_at":"2026-08-06T20:33:31.504775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:31.172872Z","title":"Meerpoel","venue":null,"work_id":"6f4aa98c-5492-44ff-bc07-56ddb6644d23","year":2024},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:29.060485Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:836c66402eca5874bebeb42224bb87a14287f06bbd6f9686dd8a32addcc362c0","observation_id":"106c45e7-e741-48d9-92cf-44c9a1066e05","resolution":{"observed_at":"2026-08-06T20:33:31.243975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:30.963653Z","title":"van der Hofstad","venue":null,"work_id":"2782b52e-08ba-44ff-91a5-bec7f230aaa8","year":2024},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:29.158636Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:4646b4e05367793c58571762b8d1fac97b5665163674b49d3e0280dbc79c4dcb","observation_id":"79af4287-82f9-48ce-a9ae-b2efb083d22d","resolution":{"observed_at":"2026-08-06T20:33:31.045059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:30.787124Z","title":"van der Hofstad","venue":null,"work_id":"13efb2b6-c91a-45d7-84ec-1c66fe9c970d","year":2017},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:29.253641Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:9063698a3e884f655ec4ab600a2bce32946571fdf1674ead2fe9cc9687427eb0","observation_id":"43889da0-11f8-4d1d-87d0-7d6b974a9815","resolution":{"observed_at":"2026-08-06T20:33:30.853717Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:30.643121Z","title":"Lov´ asz","venue":null,"work_id":"3978cdac-f7bf-4a9e-a12a-9cade980182c","year":2012},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:29.351476Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:b1fb39794e9fcea6157e4a5384ac45cf4e506a9388a6b1c10d18281ad39193d0","observation_id":"652300a1-7124-47a2-868a-3f0ed08ec85f","resolution":{"observed_at":"2026-08-06T20:33:30.713354Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:30.462797Z","title":"Dhara and S","venue":null,"work_id":"2bdfe789-b69b-4a88-bae0-dbaedbfadd7f","year":2022},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:29.437720Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:b1e9dbcd239eda69be105172cc6ba9314f735ca93d188f8dc9dd0772394bc123","observation_id":"0722ecf4-ed9a-4b40-942a-238a63af809d","resolution":{"observed_at":"2026-08-06T20:33:30.562941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:30.241071Z","title":"Markering","venue":null,"work_id":"2c843144-b618-4261-be78-2591179dbd71","year":2023},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:29.517035Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:b87e8bc2fb5a731503a7629e863271620223f7e2303c0427579e9bf2a85b6d20","observation_id":"50322e28-f807-472e-88e3-508b93038cc9","resolution":{"observed_at":"2026-08-06T20:33:30.376751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:33:29.911418Z","title":"Athreya and A","venue":null,"work_id":"64113445-b364-4d5e-a171-52256196f3e5","year":2016},"citing_paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T20:33:29.731301Z"},"links":{"citing_paper":"/paper/2507.02627"},"observation_digest":"sha256:7245c1004537c846120a484d9cccefbcd2657715ac5e89dcc079dcd7662e2308","observation_id":"67c5c4cb-fa1a-4274-8aef-b87aa510ff2a","resolution":{"observed_at":"2026-08-06T20:33:30.003635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2507.02627","last_updated":"2025-07-03T13:53:20Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-06T20:22:14.372649Z","submitted_at":"2025-07-03T13:53:20Z","title":"The Triangle Friendship Paradox"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":13},"total_outbound_references":16},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2507.02627."}