{"as_of":"2026-08-22T02:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d8ff487465e4e59e3aecc78e0cb2a5420296675118058cb98c98c2962af8c8e3","coverage":[{"denominator":76,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":76,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-30T01:24:06.662528Z","state":"measured"},{"denominator":76,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":76,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2606.28549/citation-record","integrity":"/paper/2606.28549/integrity","json":"/paper/2606.28549/citation-record.json","paper":"/paper/2606.28549"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T01:24:06.662528Z","title":"Bloch, ¨Uber die quantenmechanik der elektronen in kristallgittern, Zeitschrift f¨ ur physik52, 555 (1929)","venue":null,"work_id":null,"year":1929},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:51761c58d0fff7848a53ccf0d1200412084b04a24880317bfa963d582f83aa90","observation_id":"0c16f02f-1298-484d-896c-14071e125002","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:7b7a948a1e22f7d8648da2e954e18752e607804a8338883131a8523dfc22a758","observation_id":"959d446f-4e0b-42a1-9649-f1d33ead3a7f","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:4585a0271a844f693dec1b260d23324a8ac9ef834c4b3b01aaa231d25c3fd7db","observation_id":"3d3b4394-07f9-4f0d-94f0-0f0471c9c723","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Qi and S.-C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:70e03ac4c35da44a0b3d2c1978d9a45e66dad40928282044f044a8fb6f9bd07c","observation_id":"6950c7ef-54ef-4958-9651-df30679592cf","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1937},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:7f5a2a6afd4b1316a2f26d8f521fec234335caa0e04f3928d80e74c962d9c150","observation_id":"50026dfd-92ad-4183-8eba-edb0418820d8","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:5777645308bc82072b578053644d8d2f983e7644f9c11c8f719925fd1739de06","observation_id":"2c2d542a-5a24-4a22-a68e-503e61ddd2c4","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:749729a15dd159be8c968d57d1c900b95fd01e4eaaf26b6bbeb07adc0ca4298c","observation_id":"5b50f256-b983-42cb-8fe1-73573d71d089","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:ad9ea9fc5a75d8a3eb2a10887a19aae4dd2df6a1422d38d5671a55ea48d84007","observation_id":"5fe680c4-35f4-4f47-9b52-89a163a308d9","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Neubauer, C","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:700d13acb699dff9524bb6ac0bb383d5ba9d949a5b04108bffe1234886800ad7","observation_id":"cb815a3a-774e-4a94-ad2c-6dab25d777e5","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Nagaosa and Y","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:3b7ebe667d9cd6fc4f963ace23c1738e5c39a173d66bba5a5f899765d0c432ba","observation_id":"097ebb8d-35f6-4ead-b136-00abd99999b5","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:efafc31d5b214f0eecfa048e33fd758467a8fc2c3f20ef70fcff1c54b54fe267","observation_id":"41f8712f-0720-4ebb-8c6a-2625dd44e1c6","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:a2712cde61be6d2c2283c37e1f4bd21d24a186b6cf2f774feedf29b43e5d506c","observation_id":"6f3416f0-ee24-413e-a6b8-6570ad0f2558","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:823512f86e34c04786fc91688ea7d1df32cead990c65663a4737bcc030496910","observation_id":"527d78c2-ded9-4f59-8144-1a59cbf666e5","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Tokura and N","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:1923a5d2c38ac943f89e3f81478cd134f7bde13ee81a6ae33e806f6a9aa6abd0","observation_id":"2336d3d0-d838-4549-a657-32c62ba60ad5","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:266bf210df29ae678ce46d4c51e7b8f55d5a9be75b948b89e4a56dba48e928b3","observation_id":"f57c26bb-f0f5-4d9d-bef0-9e5fa4005037","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:bafb6c0d23669e4a95ed8ed63579f6eafef2c2a4d8b3bfcc1d7365dc17acdb85","observation_id":"e394b4f8-4a7e-48aa-ae0c-9812a1d51a40","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Heinze, K","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:efd5890691bee475d5a5af6581cc40ddc4c35a45438a3e04a07f0c615a6af495","observation_id":"025b37ee-00b4-4f2c-b1ef-20a35e2ffe55","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Wiesendanger, Nanoscale magnetic skyrmions in metallic films and multilayers: a new twist for spintron- ics, Nature Reviews Materials1, 16044 (2016)","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:d3218a374a59d226c153f3f558138ec8be2b0446d3817852f6a1f421588d0ec8","observation_id":"71af3471-f7ef-490d-8567-793bb615df4f","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:9137feed2a5c5e6723627b6e5b18e12cd423b37321a48388f248c6d8296a2326","observation_id":"3d3dc7db-cbe3-451f-830a-830d2bcaf0b3","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:d98a5a42a57f3c8c1156a3c5bfe5a6b68c099f3dfbe3cd02cd0587d024d0ee6f","observation_id":"f03c4c2f-99a7-47ea-9ccd-ea3e9e98fd9f","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Kanazawa, Y","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:77051adcdc4993e90babf57f3968e0b55642f009513444a122bd06871edb1bef","observation_id":"28476bae-921f-4f26-9762-505e9922c112","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:37302e7ab262d3acf3ed83e342720e7bc9b34e888495f6b1e93c2542d92522bb","observation_id":"1f7facac-a27b-44b8-90a0-4ceba3a572be","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Gallagher, K","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:7252b6ffc68916dfc89a5e180b03ea6a51b32dc217c7c5b029648a92f2758a10","observation_id":"58edcdfa-7c86-4818-9f1b-f03a781521a2","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:36fd731f39c072a4a51d9e83a08e410c67fa0e974d628e1fbe59b370f7b57853","observation_id":"f7ba42f0-38df-4a13-8877-104bee7d600c","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Verma, Z","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:3a771a6d9b8b3f08edc1c4e34c9bf5f97f66569e64eb18715c9380ee8518788f","observation_id":"1a0e171a-aaa8-459c-8540-5f26bf338d6d","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Addison, L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:e2cc034161bde8d6e4b002e61c1f388844d1c39d20ac233f87d33da886701ae0","observation_id":"6251093f-722d-4bc8-8390-c817b9362bdd","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Addison, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:26ab0eaa2ded9322756a6dc794eb1ef9c8cf190ebc1009873dd446a9453c6f28","observation_id":"2f1df442-59f4-42c2-9748-231487ce7f83","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Xiao, M.-C","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:242ef90601641ff5bc84e781b9d0732b66969234efcd50563257962a955e9ace","observation_id":"fc8be403-535e-4bcd-886e-8d87bf160495","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Weylet al., Electron and gravitation, z","venue":null,"work_id":null,"year":1929},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:a6027926a0a1bbd95aaa37bbf4d7a699bf7faf85fb10eb5a34d08aa1dafdd70d","observation_id":"9f3aa18c-2290-4c4e-89b0-2cded16b53ff","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:02f1ef5d975a931e68ab70d9478f72ec9bc3b42c2ec99c6f10f831baad7072af","observation_id":"4c56663e-62ad-4781-942e-c87723973b98","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:39e5cabbc5d3e17375a07f24e7e3cd368564e8049ddb698c2f7c1f01e7f20fd7","observation_id":"7f3cbc35-cd06-40f4-b4ff-e79b51593856","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:204dd08fc0fa52e8d86cb781d408a13dc742f300b4f75ad53188f69df9f17007","observation_id":"adcc11a7-deb1-494c-bc48-e90d5f23afa7","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Landau, E","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:55f99b754a468a97c6e9d3a7e8b3d668c6057b905553b07b1fdafc5c961bce5c","observation_id":"147be71f-b4ad-4406-963d-e5202723a6c0","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Kubo, Statistical-mechanical theory of irreversible processes","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:e2498fddc2cb56df10cc7baea8737ba527427af6da1004c203e0632895bdd0fc","observation_id":"d0885b05-1276-486a-89e2-69df79a0781e","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:ebe21a359c14e53d9b8ffaf206107e939fdb4216b2e3f725522f66524bd0d657","observation_id":"afa9f262-a735-4e82-bf40-add1653413bd","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Streda, Theory of quantised hall conductivity in two dimensions, Journal of Physics C: Solid State Physics15, L717 (1982)","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:3338c90377736804aeef9df0c7488581cfa615de220a55063aad099b13986b40","observation_id":"81c670aa-022c-4dc8-bdb2-591787935c77","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Bellissard, A","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:edfc316e30a827ea21d7813bf6180fcde0355e2025cca45920b6a128587e204f","observation_id":"90ee875f-8deb-4b8b-98fc-234dbabeef57","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Prodan, T","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:18060417975027f89a2ace551288599254ae954c8fc564be6a99b10e23c03b1c","observation_id":"f36b9662-2ec1-41fe-9004-68be4082b0f2","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Prodan, Disordered topological insulators: a non- commutative geometry perspective, Journal of Physics A: Mathematical and Theoretical44, 113001 (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:36f903a546b549f9eaf8937a4ab59804e86011789646d555974292e5fbc95e72","observation_id":"19b81138-876e-40bd-bd11-e653e6639d36","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:f9e1e17150e73c8f4085d1813ef70634c9f0b951e0c1c9e3dc6f9aa00ce24133","observation_id":"fb139e92-872a-459f-bbbd-0ee513948500","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Bianco and R","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:d3ee8282746a701353fa2858c1ffef9a574306bfc0de542530e591bc9d7d3fd0","observation_id":"732935a9-e635-47f7-afac-b81521df7b5c","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Marrazzo and R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:c04f550ca172a6f5080fb3495512a3b43623c30031f8eae1d60b0ea239423794","observation_id":"236d5a08-a103-4dd4-8950-2fbaf299c3e1","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Bourne and E","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:3aac44cef59dada1727bebeb381c7d9f5b41c17d3363447a72db5cfacfc1157a","observation_id":"44fee5d0-121e-4e4b-90cf-5b84a5ccc18a","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:1596d65b7c959eda445f27a5ba7d97703d6f36a10c7f7bc673d2aab45f7f1a0e","observation_id":"565823b2-a24d-4d76-8a3b-258cd9114a8f","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Varjas, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:e5a762ffe720c33d118a9f674555a95615ea94a621e42ac3208156b670772227","observation_id":"36fd61df-8193-4f88-8eee-6f0ed4bdbf42","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2507.18441","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T15:25:48.753108Z","title":"Addison and N","venue":null,"work_id":"7f1b102d-972f-4b6c-8cfb-c1089c5e2918","year":2025},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:9fed761ee0af0db6e3ee840cbef3116132250dfe88b2d87d0a40d7bc06dba6cd","observation_id":"a5be280b-35da-4d77-a21e-62c2cb4e1065","resolution":{"observed_at":"2026-07-01T15:25:48.754926Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:b9c1db8519ad108d1bedf6034ee0886ec957cfc1fcc3dde4f93a5f8da0618a71","observation_id":"8a966624-adec-4132-8b5f-f85072fbc3c7","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Steuernagel, D","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:85db03824ea714e0d420827f83a616749845846e7fdbd8cc76120a2ff7cb347f","observation_id":"74013d77-6add-4262-8ce9-71cc4fee5e99","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:28da61c4d3a0ebca32de4bec63d4ac8b24b4de45e2039617b401bee35108903f","observation_id":"b0b3ae5f-ecf5-4d79-87d2-605c010bff19","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:3fc1b0917d280c4158a406062fcdf58e6b7540ea7d131a3c16f10b3ea9f1e393","observation_id":"04172078-a85d-4ec7-9562-f27fb655e1d2","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Kakofengitis, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:754f483c4b7ecd5e67fb3258c35f173fa5613b12a133e6eb243c3612de835720","observation_id":"7f19b6b4-1819-41d4-97c8-4de0fc1bf178","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:ba53387226beae0bb4cb2749a5ee0aef701751ba4b94be83ee69a31ad0c51f16","observation_id":"37259b88-b387-4ae2-b6b0-d1cc9ee6bf26","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Peierls, On the theory of the diamagnetism of conduc- tion electrons, inSelected Scientific Papers Of Sir Rudolf Peierls: (With Commentary)(World Scientific, 1997) pp","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:bf1ef1335627ba8161c3da337d02e311ac8c02c5b0c4f0e31f5051b2290fa8a4","observation_id":"541d5454-27bd-45df-beb8-2ca603bb713e","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:6c107edd223384b6dacf87ce6ffbb177a2751b37e9719fa357a7462a74c487b9","observation_id":"34915d10-b59b-44ee-93ce-145d0768e5d3","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:be49baea873589b0102792eb1bebc4c552cb20f9a90d0eb410a6221b41d132ad","observation_id":"0b0919eb-6309-4586-a65a-7d9d9de77cc4","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:800ca6cf1d32243b24f9216d1809cf3fd90bae5f3d25b0d0af1d456ff8a24f1f","observation_id":"3af2af9e-62bb-4810-9d8e-77309967ad0c","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Wen, Chiral luttinger liquid and the edge excita- tions in the fractional quantum hall states, Physical Re- view B41, 12838 (1990)","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:13b12d023d50ff5c26cacaab5d954360dd7ffdad539ef88dd96d636fd5eb715c","observation_id":"398c12ab-1d0a-49fc-93da-ff8a0181e275","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:4b70229b77f043ffd53b6b487097f8afdf30be68ec455ce905da1486cd5bd3d5","observation_id":"e503e6c5-2cec-4b2f-8529-fbe4556dbb15","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Sundaram and Q","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:874022bb1563aac94cfadede7722b41eb0b7947c67360a704796926e970bb652","observation_id":"cabeb59d-b287-4371-bcf9-a6c8678bdf32","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:12bc8ccb21140d6e4bc67ea8fbdda1f93e49cf4e881ec760ad4aa01a836f9733","observation_id":"8a0c135e-401f-46c8-9d76-3fd65a4e03cb","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1307.8085","last_updated":"2013-09-05T16:43:02Z","snapshot_observed_at":"2026-08-15T00:08:27.704376Z","submitted_at":"2013-07-30T18:59:10Z","title":"Phase-Space Berry Phases in Chiral Magnets: Dzyaloshinskii-Moriya Interaction and the Charge of Skyrmions","version":2},"cited_work":{"arxiv_id":"1307.8085","doi":null,"metadata_source":"pith","pith_arxiv_id":"1307.8085","snapshot_observed_at":"2026-07-01T15:25:48.749736Z","title":"Phase-Space Berry Phases in Chiral Magnets: Dzyaloshinskii-Moriya Interaction and the Charge of Skyrmions","venue":"cond-mat.str-el","work_id":"4b032a4f-45ed-45b0-a55b-a0ff0d7917c0","year":2013},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"cited_paper":"/paper/1307.8085","citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:e51c68e0a29490ea331b2ba1f403a8f6ea28b465061e5ca72f176875be839255","observation_id":"3a710868-804e-43e5-9f5f-633309e0940f","resolution":{"observed_at":"2026-07-01T15:25:48.751500Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:542b3b60abccd99431dc581ff49c063fb21efa0ac18ea28521da8a864ebb5ece","observation_id":"7fff4d18-04d3-4294-b535-b2c8f9a1dbc4","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:29d808c9e964cd51fa88a6fa8ae3b4c56ab3e750bf00efc25e0685a811007237","observation_id":"ec840a3e-3ecd-4237-a60e-789473e72524","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:5edc13ae4d2c7f1b7d1cf9938784bb76598258a95f15563206f1aac16df25712","observation_id":"9574a2ec-6d74-471f-9abb-7e9a34b70779","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:3bd53078749e88d814fbb12888422dd632d72f62a3e2a5cac4267e8d6188af20","observation_id":"9af9bdd7-d898-4b46-b485-d43285e74654","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:509d0baa2c004dff7dd4b97d7452c8026c532da20ebc4410ae8b9ab1c6ef031e","observation_id":"92a6186d-212e-40ae-8849-0a2f900e1b28","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:757ec0c02c4b52384809dfd0c851e690ad3946b62389015bfc23dfebedd9cdca","observation_id":"2fc2feb3-086f-4b2e-887c-6186a1f40dbd","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:baa9f430b788c194da722b1a41dc6613f509ad20dcce015c4ca51d44f72a100a","observation_id":"bedc33e0-b614-4fd9-bb47-dad026116715","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:a99d7676151c6f711425eabceb3f777dfe9b0bf7bb522185fc6b804004848b9c","observation_id":"e7adeddb-e186-45b8-bfb0-fe0a90567cb2","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Ozawa, H","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:76ffc35218577bfbacb6baeb501f3b8ae09eae1c8924f504acc0986fa4defc37","observation_id":"a76ec051-832d-472b-8d17-d7cb7df650c7","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:cf8b24915db56f0359e280a342c65b808af40276137bc4ddc13da17f941faffe","observation_id":"f83b5ca3-ef52-4b53-bd02-ba018bac7803","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Lopez and E","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:55f6ed9dcdfbe5bd16409a2b704b658e576de86859f7976b3d54a39ec30eca62","observation_id":"039938b0-f4f5-463b-900e-3edfc42283e3","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:81b89a5cd2aab4145808e736252676d233f92f74bae6e6ebcc6fd01c6186675d","observation_id":"33b3733b-7dd9-490d-9234-e994f25944fc","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:a2419e4f200b93f9ddb8b22ac377aa630a30d324975cdfe80cb0eedbe10ecb93","observation_id":"46e1205e-a881-4396-ab3a-6997986e70ba","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":"Wigner, On the quantum correction for thermody- namic equilibrium, Physical review40, 749 (1932)","venue":null,"work_id":null,"year":1932},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:6cd4d2f075dd744f8d430fd42fde5e07927e49acff5776ce5c5869304810678b","observation_id":"181608f3-b3f8-40b9-9211-a22efaf0eafc","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","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":"2026-06-30T01:24:06.662528Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-06-30T01:24:06.662528Z"},"links":{"citing_paper":"/paper/2606.28549"},"observation_digest":"sha256:5dd9a575abfe129948c1007c5d3cb7746bab7f9d0709652c5f2478c3d42b4c1e","observation_id":"94dd3566-4a11-4763-b313-79e367d8fc67","resolution":{"observed_at":"2026-06-30T01:24:06.662528Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.28549","last_updated":"2026-06-26T19:08:31Z","latest_version":1,"primary_category":"cond-mat.mes-hall","snapshot_observed_at":"2026-08-13T06:58:22.997710Z","submitted_at":"2026-06-26T19:08:31Z","title":"The Position Space Chern Number: A Topological Index for Chiral Magnetic Systems"},"reference_resolution":{"displayed":76,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":74,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":76},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 0 inbound Pith citation observations for arXiv:2606.28549."}