{"as_of":"2026-08-13T21:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ab4010e04bfef2e505e3069f825e51c7d865cfea50a84aaf4b58d4cd9573d061","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:41:37.864475Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2507.13098/citation-record","integrity":"/paper/2507.13098/integrity","json":"/paper/2507.13098/citation-record.json","paper":"/paper/2507.13098"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:41:44.754632Z","title":"The Da Vinci-Euler-Bernoulli Beam Theor y","venue":null,"work_id":"92e908b1-824c-4469-8dd6-635b53edd9f6","year":2003},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:33.816378Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:5d64736788ff377f62319a59cde1611a4d1f8e9fb3cdddc6632f634cc5d23c75","observation_id":"7854c009-7229-48ca-9680-dd32bdcdf5f5","resolution":{"observed_at":"2026-08-06T16:41:44.860858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:44.613390Z","title":"Bernoulli","venue":null,"work_id":"db997a51-95f7-45cd-adad-49ab8807054f","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:33.921860Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:c90fd54cf78f197d858b4f38776e5d70e9a0a802874b2b7936225f9432132b24","observation_id":"27c2a227-82f5-47c1-8f88-700e70b788c2","resolution":{"observed_at":"2026-08-06T16:41:44.663317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:44.449679Z","title":"Véritable Hypothèse de La Résistance Des Solides, Avec La Démonstration de La Courbure Des Corps Qui Font Ressort","venue":null,"work_id":"8a86d435-956d-41c1-bd74-8c3a56a156f8","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.026180Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:969e8b55b0a1ef3f76947a395cd6bfbde951ffc6b55e70eb8a81f6d2113862fd","observation_id":"5a6582a8-4dd4-4947-bf94-5bd6b62464b6","resolution":{"observed_at":"2026-08-06T16:41:44.498236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:44.270214Z","title":"Sur Une Généralisation de La Notion de Courbu re de Riemann et Les Espaces à Torsion","venue":null,"work_id":"4bbd32ac-81e9-4d5c-8715-77931848d778","year":1922},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.126002Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:6ebd05bffadf20cfb049f781ed0db3568ebeb5ea73cd8979e472bb5794e4e2d3","observation_id":"c869ba9c-2f8c-4fe6-b2d0-d8d50bd5a684","resolution":{"observed_at":"2026-08-06T16:41:44.359254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:44.061198Z","title":"The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Co-Ordinates Their Solution and Application","venue":null,"work_id":"1a35b4b0-322c-4d78-be0d-5ef8c029307a","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.220091Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:8b5ba7b0a29a9a9ae087d9793ca41f24bdbee4bcff5927c9c74860803dbd598d","observation_id":"43241a74-def2-43b3-8187-d4c7f40a6118","resolution":{"observed_at":"2026-08-06T16:41:44.177010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:43.809567Z","title":null,"venue":null,"work_id":"f2b11c17-3ce8-4ef2-a34a-321496dab477","year":1909},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.294355Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:f2567f92f1ee2075f580b7d4d645a23007e6eff7585e27c41d43062028690b00","observation_id":"10fabb70-8d59-4673-b492-467d4d0c026c","resolution":{"observed_at":"2026-08-06T16:41:43.962613Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:43.496904Z","title":"T wo-Scale Geomet ric Modelling for Defective Media","venue":null,"work_id":"086766fc-665d-416c-98df-7fd9e6700285","year":2024},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.389294Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:3be4abe57e3110c1625ab009b472b3dcffb6261d7ec953ae043ea3be78c0b369","observation_id":"da3423ce-18b0-4728-81af-dc1b4754daaa","resolution":{"observed_at":"2026-08-06T16:41:43.614093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:43.347066Z","title":"Who Developed the So-Called Timoshenko B eam Theory?","venue":null,"work_id":"3574ec4a-223a-44aa-ac39-6cafad64d440","year":2020},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.478363Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:f5c868f5428edbe14ff808a7ea2372c8666795715b4697277aca4f11ac9946dc","observation_id":"fe9a5220-f5c3-4092-93b4-be9494f5da82","resolution":{"observed_at":"2026-08-06T16:41:43.409171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:43.174638Z","title":null,"venue":null,"work_id":"6a834c25-46c5-46b8-83df-8c391c07c3eb","year":2010},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.642643Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:4d23b1d10bcf9c992da446bd57b138ff8f2524fd58e4146ba54c4ccf11744adf","observation_id":"e97d4ae2-a67b-40f9-a7a5-3546db6cff49","resolution":{"observed_at":"2026-08-06T16:41:43.238485Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:43.049634Z","title":"Theory of Micropolar Elasticity","venue":null,"work_id":"b91a8da8-753b-4f65-915d-0511fe976482","year":1968},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.752566Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:e975eef9c5f6f3adce3e87e4c894ea46821096f2c71018e37b4db7b331e7cc58","observation_id":"17bc5bc8-40af-4e6f-bcad-634f7d80ae05","resolution":{"observed_at":"2026-08-06T16:41:43.096608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:42.889331Z","title":"Mechanics of Micromorphic Continua","venue":null,"work_id":"f6eb3eb8-f7cd-4cb0-8f59-c200670783bf","year":1969},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.817063Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:c544c8a09d0a422508048169b15f3863dd185bfd83f6bc863d0684e65cd734ef","observation_id":"d1fe9f28-61e8-4bb5-af8e-2f3de38639e0","resolution":{"observed_at":"2026-08-06T16:41:42.966548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:42.767665Z","title":"Foundations of Micropolar Thermoelast icity: Intern. Cent. for Mech. Studies","venue":null,"work_id":"14645b6a-e815-4e6d-9e65-370c5f84afab","year":1970},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.908831Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:a9f246dcf5a6dd4573a1ff08ee05b8ce072eb8ef1b974631efb2a564d62e0e77","observation_id":"0e27fe46-5e04-4f91-b9ad-7213c175dd35","resolution":{"observed_at":"2026-08-06T16:41:42.814269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:42.626853Z","title":null,"venue":null,"work_id":"4a380012-bfc4-4188-a6fc-a1855ab15271","year":1999},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:34.984878Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:690399a1b9b1356b57e755e138898ea84d4c22fd76acf22a768c70110c62f910","observation_id":"39ff0c43-f632-49e4-b86a-aacb40cb894e","resolution":{"observed_at":"2026-08-06T16:41:42.673891Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:42.463516Z","title":"A Micromorphic Approac h to Dislocation Theory and Its Rela- tion to Several Existing Theories","venue":null,"work_id":"a1135fb6-a840-4b8e-b6f7-74c4f10cdc35","year":1970},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.096271Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:4925a790a1b6800b6dedab5bd5f7ea1484c131436be41a6a6b285f707ca317db","observation_id":"6ef208a8-05ba-405d-822f-41142affe30c","resolution":{"observed_at":"2026-08-06T16:41:42.553964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:42.340126Z","title":null,"venue":null,"work_id":"463cd8fa-12de-4e1a-a9ac-5e0a8093da39","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.229746Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:e661d0a1512c187c7d4101127a684f1241ae6ab4d84a97230b6a1a03a48c0cc7","observation_id":"92a400c0-20ed-4f09-a7cb-449c477d6428","resolution":{"observed_at":"2026-08-06T16:41:42.387883Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:42.214922Z","title":"I. Liquid Crystals. On the Theory of Liquid Crystals","venue":null,"work_id":"879716f1-7c08-493b-916f-3bc510c4d792","year":1958},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.378562Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:3c03e22116e386bf9a058ce3862f58e60d272d8405a08194a3617c0f001e14ec","observation_id":"b5daddd2-962f-4e5f-b310-9b47bd118158","resolution":{"observed_at":"2026-08-06T16:41:42.274576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3931/e-ra","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:41:37.975666Z","title":null,"venue":null,"work_id":"86db5438-6ecb-42d7-9d68-a6c5dbe753a6","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.473680Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:848fa3ab366aee52845a9ca494fadf305c9da76048434422b0269e50dc7dbdbb","observation_id":"3681e93c-5503-4908-b34b-dd63116f5792","resolution":{"observed_at":"2026-08-06T16:41:38.069605Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:42.057716Z","title":"La Méthode Des Puissances Virtuelles En Mé canique Des Milieux Continus, Pre- miere Partie: Théorie Du Second Gradient","venue":null,"work_id":"690bebc1-6e35-496a-ab57-0d811d468e19","year":1973},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.565928Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:53d627dfcaa187794b503d84fe6b987545c29a4e97caee685f66309d91c02e93","observation_id":"907f0361-2b1f-4dd1-ac05-eb234e6641b4","resolution":{"observed_at":"2026-08-06T16:41:42.109159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:41.922571Z","title":"The Method of Virtual Power in the Mechanic s of Continuous Media, I: Second- gradient Theory","venue":null,"work_id":"690b3213-a2da-45c3-a0db-2aba9f93d540","year":2020},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.653304Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:71e1d5638b94b6d15d40a1ea073e65ea4f2cf14e71c9b32c4dff83a9a0a5b71a","observation_id":"0966334e-137b-4964-9100-29528afd37f5","resolution":{"observed_at":"2026-08-06T16:41:41.973412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:41.735626Z","title":"Ghavanloo and P","venue":null,"work_id":"3b87eac5-ec85-410b-a7be-1e4cd74a1c30","year":2024},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.754551Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:3fca3f359b9b00f122f7b3f6b9af778faeeaee2eb4a91635bf0181556682178a","observation_id":"60bd9289-9e0a-491a-bc8c-91e2a4955a8d","resolution":{"observed_at":"2026-08-06T16:41:41.848402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:41.522550Z","title":"Gonzalez and A","venue":null,"work_id":"269d8b64-5501-4999-9bbc-81491d9f4c5e","year":2008},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:35.876808Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:b61afcb2ad32eabe3df1d1734cba646db52e41f2b2e5d0ce26234c784ada7913","observation_id":"61467f90-5b72-4a9b-b333-192885aceaad","resolution":{"observed_at":"2026-08-06T16:41:41.617225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:41.259864Z","title":"Buckling of Timos henko Beam under T wo-Parameter Elastic Foundations","venue":null,"work_id":"d1da7853-2982-4e9a-b947-fec230de0ab7","year":2022},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.009542Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:4e246e7d7e1c8a0381c614f4a015eb7bc03cbc896e741c2cb3b55c2a7a0aef8e","observation_id":"1a9de2e8-b2d9-4809-a32d-bcc4a4e4180e","resolution":{"observed_at":"2026-08-06T16:41:41.382854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:41.088611Z","title":"de Lagrange","venue":null,"work_id":"45cd73a0-bdf5-4ce4-9500-9aa8e0bf0518","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.133829Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:2bb3bad51ca032a7adbe9ade684b919cb14d16ee22b10a2714277769cfe3c3e8","observation_id":"52887588-d649-4bf6-94a5-aee540ac8099","resolution":{"observed_at":"2026-08-06T16:41:41.172954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:40.869044Z","title":"Revisiting Bending Theories f or Gradient Elastic Beams","venue":null,"work_id":"9b2d24d6-b64c-4b38-ba70-41cf6ed2ce43","year":2018},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.229971Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:b9a084b964828a08a57b12d10f8e6dd903cc3ceaad1d71946ac3086af1abbb75","observation_id":"fd60ae58-0404-4376-8b2e-0b28c9a37d6a","resolution":{"observed_at":"2026-08-06T16:41:40.987697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:40.685081Z","title":"Micro-Structure in Linear Elasticity","venue":null,"work_id":"5bf8507c-5954-45fa-ad6c-b7a98dd94af4","year":1964},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.331124Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:dc83052093985d6976348a26e9f9367258101f9346008c3b7dab96ee4ceecef1","observation_id":"3c4ac2ec-0bc0-41eb-a7dc-5f6297f54d77","resolution":{"observed_at":"2026-08-06T16:41:40.761819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:40.415739Z","title":"Second Gradient of Strain and Surface-T ension in Linear Elasticity","venue":null,"work_id":"eb0388e4-9d25-4f46-bad4-2d3fdb962c5c","year":1965},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.444519Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:d1cb932f41b308e0b46e622d81ffe9e64bb951ad06ff4b9900180a8b74ed2519","observation_id":"11abf12b-9784-4e25-99dc-1a7fbfc2ef43","resolution":{"observed_at":"2026-08-06T16:41:40.531324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:40.250827Z","title":"On First Strain-Gradient Theories in Linear Elasticity","venue":null,"work_id":"5788d0cd-7d59-4972-8870-b82f4bcdac39","year":1968},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.562340Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:3299da66541db2518ae46d215b96d929ad237f3d7951dae9211d702770991d78","observation_id":"66f7cf1f-2bbe-43f3-bcef-41d07726fb18","resolution":{"observed_at":"2026-08-06T16:41:40.354478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:39.997019Z","title":"Existence of Minimizers for a Finite-Strain Mi cromorphic Elastic Solid","venue":null,"work_id":"597f5ea7-04e9-4036-ae98-de2af5f5de68","year":2006},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.691347Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:54bd944b3801eaa5ce77cb8605d40ccede4cf3186498abe1120793eeff223c82","observation_id":"4ab059f7-639e-4725-9ddf-fa18b74d114d","resolution":{"observed_at":"2026-08-06T16:41:40.118705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:39.752854Z","title":"A Unifying Perspective: The Relaxed Linear Micromorphic Continuum","venue":null,"work_id":"4bcc0efd-6bd6-46ca-8c39-5c97234e940d","year":2014},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.764985Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:f13892a2f820cc03e2b73d6370fbb9de6fd492e96aece7e192633094135ceb4d","observation_id":"86cc5bb4-1971-49c7-a02c-913efd0149bc","resolution":{"observed_at":"2026-08-06T16:41:39.845797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:39.550728Z","title":"Bending and Stability Anal- ysis of Gradient Elastic Beams","venue":null,"work_id":"62725473-8e2b-40d6-9a25-d0cd6871448e","year":2003},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.833909Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:4f499e5d0990e0ed46654e80f9d295bb07d6df3d7afdb309089ad224cb53c407","observation_id":"970613e0-e855-4c86-9254-d35f2abe5eff","resolution":{"observed_at":"2026-08-06T16:41:39.616730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:39.443173Z","title":"Ueber Die Fortpflanzungsgeschwindigk eiten Kleiner Schwingungen in Einem Unbegrenzten Isotropen Kreiscylinder","venue":null,"work_id":"8c33a11d-25e7-4fdb-83a1-865e18a81ce3","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.918229Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:39cdf4c4ad50d87aab5d7660acea7650a17f9a7ff22b833b4ada9ba6a84d8d3f","observation_id":"2fcdac16-823f-4e54-9458-f9262bfbc1ee","resolution":{"observed_at":"2026-08-06T16:41:39.493702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:39.342348Z","title":"Analytical So lutions of the Cylindrical Bending Prob- lem for the Relaxed Micromorphic Continuum and Other Genera lized Continua","venue":null,"work_id":"c05995ed-e3b9-4027-b766-a2daaec22f44","year":2021},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:36.995581Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:3e04559ef6293424e9cfbe209fcf5b5b3ba1f09c6348e36903efa5fbedfe6ad0","observation_id":"4c721e65-2e16-4009-877e-153ea574c798","resolution":{"observed_at":"2026-08-06T16:41:39.389108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:39.209375Z","title":null,"venue":null,"work_id":"3026b5ea-edc4-4f13-8a10-e90369c793fc","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.091626Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:c1774976d43bcdabf1e1d58485ef625d00a7fceeb674e7d7b51ba62be974c933","observation_id":"2acd17cd-8fee-41ab-aec4-8797aaca484b","resolution":{"observed_at":"2026-08-06T16:41:39.265498Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:39.106475Z","title":null,"venue":null,"work_id":"b452917b-be90-4c1a-a296-8c794fc78be3","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.239363Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:d8a90695c02b685cbdd03afb8550b93261bdb754d384a3dfa2c439fefce38845","observation_id":"d920ee55-2d2c-4028-91e5-67b6fbcda5d2","resolution":{"observed_at":"2026-08-06T16:41:39.155983Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:38.988019Z","title":"A Computational Approach to Identify the Material Parameters of the Relaxed Micromorphic Model","venue":null,"work_id":"6116e025-0a4d-4c17-ae7b-0111c79af3fc","year":2024},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.330252Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:922be0326700d353d9e619394db28e3535d2f75bebdd8c78b208e16da7df323a","observation_id":"a8eadf41-40c4-4754-9a30-ffd63cdf975a","resolution":{"observed_at":"2026-08-06T16:41:39.039638Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:38.845627Z","title":"On the Correction for Shear of the Diff erential Equation for Transverse Vibra- tions of Prismatic Bars","venue":null,"work_id":"7c78fb88-1468-462e-8454-1e2ca4a52464","year":1921},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.433276Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:6e1f23b1863d3a08ef9d192ffbf5bc1052f969724f2e4392a1b03ab3adb79618","observation_id":"fd9c3cb7-cc72-4689-b5d6-118773fa9475","resolution":{"observed_at":"2026-08-06T16:41:38.912019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:38.637971Z","title":"Elastic Materials with Couple-Stresses","venue":null,"work_id":"746fac5f-102b-40ee-9b8f-f92d80bfed12","year":1962},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.507858Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:1ef2202128a8d51c81fffe7783676dac4821416f41cef7b4a17013c3d65c0541","observation_id":"fd5471c9-85b7-4628-9fac-7e5d5107aa5a","resolution":{"observed_at":"2026-08-06T16:41:38.730481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:38.490195Z","title":"Theories of Elasticity with Couple-Stre ss","venue":null,"work_id":"7b900699-0546-41f8-835f-1df34c931752","year":1964},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.592126Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:c538a7dca9c35c88cb3c43378b95c354e7ed5116f4ded60d140762bc8c708c80","observation_id":"725365e5-fe61-437f-8ad7-87552736e337","resolution":{"observed_at":"2026-08-06T16:41:38.554116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:38.397826Z","title":"da Vinci","venue":null,"work_id":"2d9c81fe-dd7d-4d86-aa12-eac037ff4e41","year":null},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.701806Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:6ff84cf5dc2ab18d415996335799acc0e09f33b784c244dcba18c6d38fae2818","observation_id":"f3a8fd05-efb2-4636-be05-455f59d6ac36","resolution":{"observed_at":"2026-08-06T16:41:38.445540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:38.304186Z","title":"Sur l’équilibre Des Corps Élastiques Mul tiplement Connexes","venue":null,"work_id":"88e9d5e8-d29a-4e10-b92b-f103634756fc","year":1907},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.790270Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:de134f527798f7e23ce29b45c7218ee86af98a78d62fd55f757ff5e72bfb5052","observation_id":"f1cf2834-e5b3-4b53-b038-cbb53513a845","resolution":{"observed_at":"2026-08-06T16:41:38.343005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T16:41:38.152743Z","title":"A Micro Scale Timoshenko B eam Model Based on Strain Gra- dient Elasticity Theory","venue":null,"work_id":"df588874-ec06-425d-b710-b6d9f551826d","year":2010},"citing_paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T16:41:37.864475Z"},"links":{"citing_paper":"/paper/2507.13098"},"observation_digest":"sha256:e08a9cbb153904bf5ca3f77382fa0c713e5f93f53702b76ff9d723f41b5aa040","observation_id":"bdfcb1b0-fb51-48df-bb0a-c757c0a782d5","resolution":{"observed_at":"2026-08-06T16:41:38.209829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.13098","last_updated":"2025-07-17T13:09:39Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-06T16:28:09.196829Z","submitted_at":"2025-07-17T13:09:39Z","title":"A New Framework for Unidimensional Structures Based on Generalised Continua"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":34},"total_outbound_references":41},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2507.13098."}