{"as_of":"2026-08-16T15:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:984d46c48a76903d57f4bc805c1120431f0e89ae64c466aca38146b1e2e6efc3","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:33:32.870404Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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":"2026-08-14T12:47:51.389347Z","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":"2026-08-14T11:58:21.543071Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.07120","snapshot_observed_at":"2026-08-14T12:47:51.389347Z","title":"Clark: Continuum models of directed polymers on disordered diamond fractals in the critical case, preprint (2019), arXiv:1908.07120","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06555","last_updated":"2020-08-29T13:18:57Z","snapshot_observed_at":"2026-08-16T03:36:49.127208Z","submitted_at":"2019-08-19T01:42:59Z","title":"Weak-disorder limit at criticality for directed polymers on hierarchical graphs","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:51.389347Z"},"links":{"cited_paper":"/paper/1908.07120","citing_paper":"/paper/1908.06555"},"observation_digest":"sha256:68ff3eda4d62593d4b6c8c25b8e1e98736091808bacec468f9baf20e104619c9","observation_id":"6c1e97c3-9469-4463-8857-67ca39d85972","resolution":{"observed_at":"2026-08-14T12:47:51.389347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"cited_work":{"arxiv_id":"1908.07120","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.07120","snapshot_observed_at":"2026-08-14T11:58:21.543071Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","venue":"math.PR","work_id":"b7ad4ed7-bf51-4bed-8571-73d0635a8519","year":2019},"citing_paper":{"arxiv_id":"1908.08192","last_updated":"2019-09-24T17:09:43Z","snapshot_observed_at":"2026-08-16T13:06:20.328377Z","submitted_at":"2019-08-22T04:05:39Z","title":"The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:20.967905Z"},"links":{"cited_paper":"/paper/1908.07120","citing_paper":"/paper/1908.08192"},"observation_digest":"sha256:c3b17eb4b378d9333b78d6ab998573c48b781c57b748aed676d1877f2d2e0f35","observation_id":"2ac2120b-72d8-4970-b4ef-7a20387535d6","resolution":{"observed_at":"2026-08-14T11:58:21.559048Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.07120/citation-record","integrity":"/paper/1908.07120/integrity","json":"/paper/1908.07120/citation-record.json","paper":"/paper/1908.07120"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:33:34.113697Z","title":"Alberts, J","venue":null,"work_id":"07eb9757-d39a-463c-9a7e-3fc1167fb81c","year":2017},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.339756Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:061ae46855baa8b0b94e331cf215b7f72397299439eab227db9f7d8a0006593a","observation_id":"e1ba577e-437a-4e21-b286-5699f082fa7a","resolution":{"observed_at":"2026-08-14T12:33:34.118338Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.958081Z","title":"Alberts, K","venue":null,"work_id":"16eacb1d-51b3-4328-9a8f-e521ab8883e3","year":2014},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.344682Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:c85a4d80c1db1d75264649b749abc971038a1baa1d487781d2d1072ec6191a94","observation_id":"a9fa0a3c-2f8d-42bb-a6b5-c25e472835a4","resolution":{"observed_at":"2026-08-14T12:33:34.040891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:32.349026Z","title":"Alberts, K","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.349026Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:cf0d4192a7533ca0301b44fedb2f4044ad2cee9ca9caa425e7e98687cac9f2fb","observation_id":"8699ad1a-0f87-48ef-8a74-e0126ca05342","resolution":{"observed_at":"2026-08-14T12:33:32.349026Z","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":"2026-08-14T12:33:33.937068Z","title":"Caravenna, R","venue":null,"work_id":"27db4659-f935-4d86-b4c0-04967a72bafc","year":2017},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.353911Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:3fe86c7363035b1167d599fed69b9d461e700a2d06b49dd21771de955fbb3509","observation_id":"c6be6ce1-0ab1-451f-ba30-8519f6f061eb","resolution":{"observed_at":"2026-08-14T12:33:33.941500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.899697Z","title":"Caravenna, R","venue":null,"work_id":"aca25512-4832-4de3-b057-0faa467e064f","year":2017},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.357283Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:41f355bfd7f27139257e1e739c03716360abf89693bdf45b521a6623a03be397","observation_id":"89e66e77-4c6d-41ff-b7df-769397288e37","resolution":{"observed_at":"2026-08-14T12:33:33.928648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01465","last_updated":"2019-08-26T15:08:15Z","snapshot_observed_at":"2026-08-14T19:19:09.975912Z","submitted_at":"2018-05-03T15:22:38Z","title":"The Dickman subordinator, renewal theorems, and disordered systems","version":4},"cited_work":{"arxiv_id":"1805.01465","doi":null,"metadata_source":"pith","pith_arxiv_id":"1805.01465","snapshot_observed_at":"2026-08-14T12:33:33.498242Z","title":"The Dickman subordinator, renewal theorems, and disordered systems","venue":"math.PR","work_id":"ef245bb1-98ae-4062-9b90-9f5a20386baa","year":2018},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.360920Z"},"links":{"cited_paper":"/paper/1805.01465","citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:2404e71701049363f97f34711c24e9d16f13a35d3abab0743601807a59451967","observation_id":"5b2adc13-4218-48da-8f49-37e07183b28d","resolution":{"observed_at":"2026-08-14T12:33:33.503316Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1602.05825","last_updated":"2016-05-30T17:11:36Z","snapshot_observed_at":"2026-08-14T22:09:46.563381Z","submitted_at":"2016-02-18T15:01:21Z","title":"Scaling limits of disordered systems and disorder relevance","version":2},"cited_work":{"arxiv_id":"1602.05825","doi":null,"metadata_source":"pith","pith_arxiv_id":"1602.05825","snapshot_observed_at":"2026-08-14T12:33:33.303860Z","title":"Scaling limits of disordered systems and disorder relevance","venue":"math.PR","work_id":"cf18b042-977f-4275-b779-22a0c651c12d","year":2016},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.365065Z"},"links":{"cited_paper":"/paper/1602.05825","citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:3fa9ba606e181f12fc1e03b8d835c3193985d2350267594922a279ad5d465ae3","observation_id":"2b47983a-7dd9-49e3-849a-9409213c1087","resolution":{"observed_at":"2026-08-14T12:33:33.397024Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:32.458832Z","title":"Caravenna, R","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.458832Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:6dbef9dfb0a67f120200c1489534d0c5d70aa217e475a133612a84d95d5ef59c","observation_id":"c6f52da7-19df-4b5b-9b6f-846f816b46ca","resolution":{"observed_at":"2026-08-14T12:33:32.458832Z","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":"2026-08-14T12:33:33.887078Z","title":"Clark: High-temperature scaling limit for directed polymer on a hierarchical lattice with bond disorder, J","venue":null,"work_id":"d94e5fb6-7aba-4182-ac25-61a530212818","year":2019},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.563979Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:6753f84b1737c15701f8b16c344dfea86d8e5e015866b70e2a937e1e07981293","observation_id":"cf0f2940-2980-4230-9c85-5dfde924df8e","resolution":{"observed_at":"2026-08-14T12:33:33.891757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:32.569729Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.569729Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:eedfa2e291e6d3408c26f5f2a7e09c1a40758943f58aa3fa45813a9f7dd665eb","observation_id":"27076a75-920f-479a-91e1-66ab7021ec30","resolution":{"observed_at":"2026-08-14T12:33:32.569729Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.06555","last_updated":"2020-08-29T13:18:57Z","snapshot_observed_at":"2026-08-16T03:36:49.127208Z","submitted_at":"2019-08-19T01:42:59Z","title":"Weak-disorder limit at criticality for directed polymers on hierarchical graphs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.06555","snapshot_observed_at":"2026-08-14T12:33:32.574138Z","title":"Clark: Weak-disorder limit at criticality for random directed polymers on hierarchical graphs, preprint (2019), arXiv:1908.06555","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.574138Z"},"links":{"cited_paper":"/paper/1908.06555","citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:2ecc9861a0d743743d47562ddada744a4e026f4e0e69594f3c57745b39c2f719","observation_id":"bcfd639e-c026-4237-a640-b7ece2abe4f2","resolution":{"observed_at":"2026-08-14T12:33:32.574138Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.08192","last_updated":"2019-09-24T17:09:43Z","snapshot_observed_at":"2026-08-16T13:06:20.328377Z","submitted_at":"2019-08-22T04:05:39Z","title":"The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal","version":2},"cited_work":{"arxiv_id":"1908.08192","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.08192","snapshot_observed_at":"2026-08-14T12:33:33.273295Z","title":"The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal","venue":"math.PR","work_id":"c5d3dc09-625e-4a4e-b3e3-4b50dc47f629","year":2019},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.580600Z"},"links":{"cited_paper":"/paper/1908.08192","citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:c2688200ad810b03ff3782b2fb563c44d244653c6634c7b804f3d4d99bcf01fe","observation_id":"5bef140f-567f-4b6b-9e13-0757f70d466f","resolution":{"observed_at":"2026-08-14T12:33:33.277122Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.874702Z","title":"Hausdorff: Dimension und ueres Ma , Math","venue":null,"work_id":"3026399d-e7a0-43ef-be35-6c49398b1100","year":1918},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.585972Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:062396ce7921c687c5e45737b2c76d60675cda412724a28792b524891f8762bc","observation_id":"a5c77c01-6870-49ae-9ede-601a31fd8f31","resolution":{"observed_at":"2026-08-14T12:33:33.878983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.760256Z","title":"Giacomin: Disorder and Critical Phenomena through Basic Probability Models , Lecture Notes in Mathematics Vol","venue":null,"work_id":"8f3df9d0-6456-4a24-a767-ff20f94fabed","year":2025},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.613891Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:bdef65ae118023dd9dabd466d78bcecfa9bd583f38eeafb45b0303e3eaa2dce5","observation_id":"5d79a6b1-85fe-492e-9bdc-52d96f9d2034","resolution":{"observed_at":"2026-08-14T12:33:33.837670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.11310","last_updated":"2020-10-13T16:45:52Z","snapshot_observed_at":"2026-08-14T16:25:48.529192Z","submitted_at":"2019-05-27T15:51:15Z","title":"Moments of the 2D SHE at criticality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.11310","snapshot_observed_at":"2026-08-14T12:33:32.699481Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.699481Z"},"links":{"cited_paper":"/paper/1905.11310","citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:e4b7ddada871202f631e61b7262efc3c5f9694dfec5ceb85c9fc9035ff0b3021","observation_id":"35692833-250c-417b-a316-d81ccc3fd8f0","resolution":{"observed_at":"2026-08-14T12:33:32.699481Z","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":"2026-08-14T12:33:33.656407Z","title":"Hambly, T","venue":null,"work_id":"1fb55324-bc37-4b8e-8753-667b690e6c09","year":2004},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.732271Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:eab7db6b6a4b9642cc86319d252ad654914f71fb2feb40854d70fc0c0949dd35","observation_id":"9f514fc4-c010-4f68-b131-5d88624b16c5","resolution":{"observed_at":"2026-08-14T12:33:33.662004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.642419Z","title":"Molter, E","venue":null,"work_id":"7d0ce538-8296-477b-93a0-5f776d29c083","year":2010},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.738196Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:ccc71e5336c78a947db95ce7ec6f353d54ba5e57f5aefbdf7065a8e74279ea2a","observation_id":"c02577e2-79f2-4d35-9b66-871ab8ebf718","resolution":{"observed_at":"2026-08-14T12:33:33.647395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.607546Z","title":"Molter, E","venue":null,"work_id":"a9b4be11-fb0a-4379-a454-3848379885e8","year":2012},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.743300Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:6e1297d69984c0e91c15d58fac0bae1a7414a0fb62c986d3aa6d78c285de3a6f","observation_id":"fcee5b13-b8bd-4222-8d5d-b9c3590c73bf","resolution":{"observed_at":"2026-08-14T12:33:33.633454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.525856Z","title":"Royden: Real Analysis, third edition, Macmillan 1988","venue":null,"work_id":"aefad165-03ec-4ac1-b83e-eeb13786f3a6","year":1988},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.749224Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:c2f2e45cd72ffd2f6d822a0043dae6a79ce58038cb46e1a6c07d201a0ca55362","observation_id":"a395ff97-00c7-4dc5-a8c6-a597f98082b0","resolution":{"observed_at":"2026-08-14T12:33:33.538380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:33:33.513668Z","title":"Ruiz: Explicit formulas for heat kernels on diamond fractals , Commun","venue":null,"work_id":"3f26f280-2db7-4f45-9ab7-f2037588d81f","year":2018},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.753610Z"},"links":{"citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:d5024e0bf0e95ae60c68cde5ccc14ac09db80c1f71c16a78923e6ae048941bbc","observation_id":"7182cbfe-8885-4a21-9b5b-e7ff48185b1f","resolution":{"observed_at":"2026-08-14T12:33:33.517385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.06215","last_updated":"2020-03-05T15:35:44Z","snapshot_observed_at":"2026-08-14T16:15:33.956170Z","submitted_at":"2019-06-14T14:14:16Z","title":"Heat kernel analysis on diamond fractals","version":2},"cited_work":{"arxiv_id":"1906.06215","doi":null,"metadata_source":"pith","pith_arxiv_id":"1906.06215","snapshot_observed_at":"2026-08-14T12:33:33.033353Z","title":"Heat kernel analysis on diamond fractals","venue":"math.PR","work_id":"5a2e066b-8877-46d3-ae8b-2d0a74b10de0","year":2019},"citing_paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:33:32.870404Z"},"links":{"cited_paper":"/paper/1906.06215","citing_paper":"/paper/1908.07120"},"observation_digest":"sha256:7f4b7f7530bdf539ab406ad09a2b533a28c0ed4a2de142e95e4aa774f1c6e75c","observation_id":"49c1c611-d68a-43ee-a5f8-fa14a0b53987","resolution":{"observed_at":"2026-08-14T12:33:33.146703Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.07120","last_updated":"2021-11-21T19:35:05Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T10:45:26.746664Z","submitted_at":"2019-08-20T01:12:45Z","title":"Continuum models of directed polymers on disordered diamond fractals in the critical case"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":4,"verified_fuzzy":12},"total_outbound_references":21},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:1908.07120."}