{"as_of":"2026-08-12T20:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8fdd0f41b8c54e54f7901e5ec01693c79bbcce0284d214f62c37a5ff5cb3ea56","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T16:26:38.609438Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T04:21:57.676975Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T04:21:57.753752Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"cited_work":{"arxiv_id":"2607.18032","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.18032","snapshot_observed_at":"2026-08-10T04:21:57.753752Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","venue":"math.PR","work_id":"bc85641d-31b0-4d02-aee9-bdbce54eeace","year":2026},"citing_paper":{"arxiv_id":"2608.06523","last_updated":"2026-08-06T19:08:04Z","snapshot_observed_at":"2026-08-12T20:10:08.057899Z","submitted_at":"2026-08-06T19:08:04Z","title":"On the Gardner Transition in the Ising Pure $p$-Spin Glass II","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T04:21:57.676975Z"},"links":{"cited_paper":"/paper/2607.18032","citing_paper":"/paper/2608.06523"},"observation_digest":"sha256:7731ad98a90c929a3ae6747b2c44ed5e28d7480ce9d57fcd12107ddbc95c2411","observation_id":"556de596-7f3f-42af-8af5-f8290970501b","resolution":{"observed_at":"2026-08-10T04:21:57.758121Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2607.18032/citation-record","integrity":"/paper/2607.18032/integrity","json":"/paper/2607.18032/citation-record.json","paper":"/paper/2607.18032"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:36.876659Z","title":"Auffinger and W.-K","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:36.876659Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:6bc9a254a19762aed95738492487a49ba7ce781be52894bc54ef283f0b5a894b","observation_id":"2ebd58e0-b78b-4914-a122-87d0c166ba8b","resolution":{"observed_at":"2026-08-01T16:26:36.876659Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:36.984446Z","title":"Auffinger and W.-K","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:36.984446Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:6712364ae8de8d83eab12094527006377a6aba31ca79b505928b628182f27608","observation_id":"306b3c23-5def-4232-af2d-4c7c5747e04e","resolution":{"observed_at":"2026-08-01T16:26:36.984446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:37.149326Z","title":"Auffinger and W.-K","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:37.149326Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:403f3b1620c2052ef2ac1c18a7680acced476ff79d905a378df8eca313539ac6","observation_id":"3eee87b0-1704-46f8-8335-c9529c01fcd8","resolution":{"observed_at":"2026-08-01T16:26:37.149326Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:37.308314Z","title":"Auffinger, W.-K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:37.308314Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:9711848890309f1818c6f75739d764b57f750b751b37bfc8fe62d213c518e01c","observation_id":"2f56581a-d3b3-4a22-bac9-889af99e4604","resolution":{"observed_at":"2026-08-01T16:26:37.308314Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:37.524957Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:37.524957Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:5145cf532fb58e9c0323e06f4f13fa257a3a073c53972d8d57c03ef472680d72","observation_id":"aae9f07c-adba-4a1a-a62d-0bbd3c7ba6d2","resolution":{"observed_at":"2026-08-01T16:26:37.524957Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:37.676556Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:37.676556Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:24531c394a6793ecd8b16567f5e3c710350494ad45826236f60faeca89aba25b","observation_id":"e4458b71-ad11-4b9c-99a7-636fe49828a1","resolution":{"observed_at":"2026-08-01T16:26:37.676556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:37.826048Z","title":"El Alaoui, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:37.826048Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:5523436ab0bd779d2cf865a24095c5b52dc212dd8837a1110d888f16b5121654","observation_id":"47762ed4-c6b4-44f9-ab1e-ffa96dfc4aa3","resolution":{"observed_at":"2026-08-01T16:26:37.826048Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:37.878478Z","title":"Guerra, Broken replica symmetry bounds in the mean field spin glass model,Communications in Mathe- matical Physics233(2003), 1–12","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:37.878478Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:6a8ca4155ea0f133835a53227324a67803fd1ed83bf7ca09244080e459850112","observation_id":"7e410c00-e39e-401d-b96c-ba9e43cdc367","resolution":{"observed_at":"2026-08-01T16:26:37.878478Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:37.962072Z","title":"Jagannath and I","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:37.962072Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:4fc4cd559587f2259c118a4393bec335ca27ba312192d58f2bdf654738eb6461","observation_id":"a107f879-3f94-433c-a2d1-890a98a5a601","resolution":{"observed_at":"2026-08-01T16:26:37.962072Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.048862Z","title":"Jagannath and I","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.048862Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:57e088c726f3d0140e9b75044824c8803630ae8fd505194adbe0e39c513acfe6","observation_id":"ab2fbcb1-611b-49e7-aee6-a3e6e2c9911a","resolution":{"observed_at":"2026-08-01T16:26:38.048862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.086801Z","title":"Karlin,Total Positivity, vol","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.086801Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:408aeb8ee585269ba9bc90e43db10743f2fd7880e7fafbcea585fe3165a94fcf","observation_id":"d18bdc98-f04e-41fb-aa4e-313ddac86890","resolution":{"observed_at":"2026-08-01T16:26:38.086801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.11756","last_updated":"2026-07-16T16:41:41Z","snapshot_observed_at":"2026-08-12T19:33:43.985276Z","submitted_at":"2026-07-13T16:13:26Z","title":"Full replica symmetry breaking in the Sherrington-Kirkpatrick model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.11756","snapshot_observed_at":"2026-08-01T16:26:38.193461Z","title":"Lopatto, Full replica symmetry breaking in the Sherrington–Kirkpatrick model, arXiv:2607.11756v3, 2026, https://arxiv.org/abs/2607.11756v3","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.193461Z"},"links":{"cited_paper":"/paper/2607.11756","citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:b149ebaa59861e4f76776f4a881c7913284275ba819e971ced7abf7d37637cdd","observation_id":"61f735cf-c97e-4eb3-b84c-291659946d85","resolution":{"observed_at":"2026-08-01T16:26:38.193461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.228576Z","title":"Montanari, Optimization of the Sherrington–Kirkpatrick Hamiltonian,SIAM Journal on Computing54 (2025), no","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.228576Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:c828f0cef138522370e90c6893d3351dccc12a2a6b1dd238b9743fa5c837d63d","observation_id":"58dd6171-bf6f-4e85-828d-f08234df4e9b","resolution":{"observed_at":"2026-08-01T16:26:38.228576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.306767Z","title":"Panchenko, The Parisi formula for mixedp-spin models,Annals of Probability42(2014), no","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.306767Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:cc3df0eb031a5b67217432dfef3d6fcfc437e53bef13bf126e5ecc64548c052a","observation_id":"894c07e2-2b1c-4e34-8b9c-f06bb7c06932","resolution":{"observed_at":"2026-08-01T16:26:38.306767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.374771Z","title":"Panchenko, The Parisi ultrametricity conjecture,Annals of Mathematics177(2013), no","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.374771Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:f673408d59fee92350d45599322ff516d2ef0cd7da1df50d1c51fc5a7ce8ccf4","observation_id":"99c09f44-1a9b-4b8b-b4c4-b08434d130fc","resolution":{"observed_at":"2026-08-01T16:26:38.374771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.429283Z","title":"Parisi, Infinite number of order parameters for spin-glasses,Physical Review Letters43(1979), 1754–1756","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.429283Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:eafe6c405cf65657209776dbe11ed1bc8f512d28fba0661905bb77e07d13edfb","observation_id":"53f33961-58f6-4415-af54-9abde3c575dd","resolution":{"observed_at":"2026-08-01T16:26:38.429283Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.502366Z","title":"Sherrington and S","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.502366Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:7e30342bb4ba964cbf82e7ec9ae4169e616f2d5c39f5d94cd0a68d749afda03a","observation_id":"a55c3972-35d7-44df-a0c7-1b319738ccfe","resolution":{"observed_at":"2026-08-01T16:26:38.502366Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.550325Z","title":"Talagrand, The Parisi formula,Annals of Mathematics163(2006), no","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.550325Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:c9db9b07d046136e2e21f5f0441727cd0de1824bf2026b87ab14f7b11f8003df","observation_id":"5e870fe2-97da-41b5-bc56-add6a8c8054c","resolution":{"observed_at":"2026-08-01T16:26:38.550325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T16:26:38.609438Z","title":"Zhou, Existence of full replica symmetry breaking for the Sherrington–Kirkpatrick model at low temperature, Communications on Pure and Applied Mathematics79(2026), no","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T16:26:38.609438Z"},"links":{"citing_paper":"/paper/2607.18032"},"observation_digest":"sha256:b1d91e979d0175ad7bf5132812ae3ff7d2c429a4ff363c586c222fdf7094a679","observation_id":"1546d2a0-3ce9-42f6-9720-70b23843169f","resolution":{"observed_at":"2026-08-01T16:26:38.609438Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.18032","last_updated":"2026-07-20T15:00:32Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-12T19:31:50.674430Z","submitted_at":"2026-07-20T15:00:32Z","title":"FRSB in the SK spin glass: convergence to full-interval support at zero temperature"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":19},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2607.18032."}