{"as_of":"2026-08-10T12:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f6c9628b35d8c9cc2409996c8da8c559d46b4199e8383e5dc9862c0932836d49","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:35:08.013219Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T15:30:58.797211Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.07730","snapshot_observed_at":"2026-08-02T15:30:58.797211Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator **,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2604.25003","last_updated":"2026-07-24T17:17:22Z","snapshot_observed_at":"2026-08-02T15:30:55.935035Z","submitted_at":"2026-04-27T21:05:09Z","title":"Cartan Fluxes in $SU(3)$ Lattice Gauge Theory","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-02T15:30:58.797211Z"},"links":{"cited_paper":"/paper/2506.07730","citing_paper":"/paper/2604.25003"},"observation_digest":"sha256:e9cbd46c31ae76dc9cb2d2a0f38a8989217382398962fd704501ade38d1e1994","observation_id":"d6f1a037-df35-4537-bd06-b5bd4b13a742","resolution":{"observed_at":"2026-08-02T15:30:58.797211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.07730/citation-record","integrity":"/paper/2506.07730/integrity","json":"/paper/2506.07730/citation-record.json","paper":"/paper/2506.07730"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:35:08.743279Z","title":"Cucchieri and T","venue":null,"work_id":"cbd75d12-cf1a-43e5-865c-e03d8db31b1c","year":2017},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.836366Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:297e06e731436157f6b536db287ac8734e677966a45246483793d4bfcb58b91b","observation_id":"9fb112f7-16ce-4241-94fc-fa1673a20f6d","resolution":{"observed_at":"2026-08-07T05:35:08.748166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.723241Z","title":"Cucchieri and T","venue":null,"work_id":"8a6c1cea-497f-4672-b123-f99b700970b2","year":2009},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.842209Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:b882bcb0016e0968a243b33bbaeae1a66ff7ad3c36eeeda14c285ef51d89bf96","observation_id":"87de5ede-904f-4f47-9d9f-4cdcbc91bab3","resolution":{"observed_at":"2026-08-07T05:35:08.730713Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.698699Z","title":"Cucchieri, D","venue":null,"work_id":"37c87f90-4ca9-427e-9a5b-f379377b73d2","year":2012},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.847492Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:67e2ea9c5c888af076574ea74520b3c1ea22006f30c34caf7b4d03633de8a351","observation_id":"0c26e0dc-b47e-455e-823e-87d3b28a90fb","resolution":{"observed_at":"2026-08-07T05:35:08.705533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.680424Z","title":"Cucchieri, D","venue":null,"work_id":"733da78a-c13d-42ff-82b1-479575ccdd9b","year":2012},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.853498Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:e7970dd352f866adb6361f42724f17150607f3696354d7feead2528fcd63ee09","observation_id":"b6b3ba41-9be1-4084-8c54-812b2400371c","resolution":{"observed_at":"2026-08-07T05:35:08.686026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.658385Z","title":"Zwanziger, Fundamental modular region, Boltzmann factor and area law i n lattice gauge theory, Nucl","venue":null,"work_id":"50d6c14a-bb89-4c19-b2ce-21ab1b6257e7","year":1994},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.858638Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:a017ee15ba83beefc8f3096d15ecdcaed312e63bb0636da64ff2e697dcda69fa","observation_id":"2fe41a83-cafa-4f56-bf6d-c65e2da3b57e","resolution":{"observed_at":"2026-08-07T05:35:08.664424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.639120Z","title":"Giusti, M","venue":null,"work_id":"e4c844e3-4826-4001-ac3d-23ad13e3a43c","year":2001},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.864209Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:29fd48c28e91b45ac430dd7ada91f073f670624e727ef71576ab4f73ec8779e7","observation_id":"c6fe6f36-5b26-4d00-9fa0-acd9456e36db","resolution":{"observed_at":"2026-08-07T05:35:08.645036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.619182Z","title":"Greensite, The Conﬁnement problem in lattice gauge theory , Prog","venue":null,"work_id":"d323d5cc-cf3c-417c-9d4e-bd8447cc31c0","year":2003},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.869668Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:48a9ef4fdab5a28e681413d107d8419787989c839b4f6ff87e85c7ae97a6b151","observation_id":"44e70a4e-a40b-46cc-b4d8-c8e5078cbc2d","resolution":{"observed_at":"2026-08-07T05:35:08.624127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.598654Z","title":null,"venue":null,"work_id":"7d698021-74ce-4052-8fc4-88678d689d34","year":1978},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.875463Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:ee37304551d00433713cbff788cc1885a6dfa15cc3a877466c418885c724975f","observation_id":"8760c40c-8c70-4a81-a8da-8bb5818a06ba","resolution":{"observed_at":"2026-08-07T05:35:08.605274Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.582584Z","title":"Zwanziger, Nonperturbative Modiﬁcation of the Faddeev-popov Formula and Banishment of the Naive Vacuum , Nucl","venue":null,"work_id":"2e418e76-22f8-4f03-b9c1-5b7145f058c3","year":1982},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.880081Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:2f672782ad54c9efe1bad5ed3948ef179124da64f23359281144f656ec055399","observation_id":"b0acb1c2-b8a6-4b5a-b8a1-f0e99019585e","resolution":{"observed_at":"2026-08-07T05:35:08.587677Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.564045Z","title":"Dell’Antonio and D","venue":null,"work_id":"8914ba04-647d-42d7-af5a-ce3337cec554","year":1989},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.884757Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:f1b41263d6f15cfde0ab45a974d74d2d83bd057d9d90ec7a4e9d05d6089c3407","observation_id":"df2de51f-ebf0-449b-a0dd-9eb3b601eb9e","resolution":{"observed_at":"2026-08-07T05:35:08.570526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.544113Z","title":"Vandersickel and D","venue":null,"work_id":"cb4c0fef-9f47-45e3-b83e-9bfd35d6ef5e","year":2012},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.889347Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:20bb7feee81cdbbf887815f14f5e483223857a8db78575ca2de6300aa677ff1e","observation_id":"216aa756-a469-4d4d-a772-93f266c82209","resolution":{"observed_at":"2026-08-07T05:35:08.550613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.524423Z","title":"Cucchieri, T","venue":null,"work_id":"0c52e1d0-d982-47dd-a6c5-3f125a5fa043","year":2005},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.893855Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:ee6a5879d7e3693132d78a59789bc23eada7f62209858fc80fe83baee1f89650","observation_id":"63983ff0-805b-43af-b5d9-e4100a80bff7","resolution":{"observed_at":"2026-08-07T05:35:08.529452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.506453Z","title":null,"venue":null,"work_id":"1536abf6-73ed-41ad-9a38-4da85cc6d748","year":1997},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.898613Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:25960d46c925eded6776c588d4e0ee54b08352c1d42fa1275adcc5a78c9d78f1","observation_id":"ac497279-eb0f-49f8-9c73-525444bd4493","resolution":{"observed_at":"2026-08-07T05:35:08.513118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.489405Z","title":null,"venue":null,"work_id":"4577a3df-9c0b-4768-9063-c0082e6b701f","year":1999},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.903111Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:4321356c30902dfbda34b7ae4301bffce2669984b9e0329f4c422ebadbb3a527","observation_id":"7ef3b2ca-10da-4299-bfb1-931605fff2af","resolution":{"observed_at":"2026-08-07T05:35:08.494459Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.471976Z","title":"Smit, Introduction to Quantum Fields on a Lattice , Cambridge University Press, Cambridge, U.K","venue":null,"work_id":"ae2708b0-2685-4c68-8314-518b16f9c1a7","year":2002},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.907463Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:72f2378885252bce44bd494df4ab7b080ee7599ddea362338868818645a5ea91","observation_id":"7ffd1bff-c4c0-4283-9c15-75005c368836","resolution":{"observed_at":"2026-08-07T05:35:08.477165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.456241Z","title":"Gattringer and C","venue":null,"work_id":"0e370991-ba21-497c-ba2b-0d75f44d1ac4","year":2010},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.912101Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:b95219c90826d620a2d92a4038da537d561b277e94ec0733fa903c250fdaf5d5","observation_id":"bf3a38cc-bdaf-4c8a-9885-c17d9dc8fda4","resolution":{"observed_at":"2026-08-07T05:35:08.460839Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.441699Z","title":null,"venue":null,"work_id":"ed3ae961-5f34-4b32-911b-461e39ebb7a7","year":2012},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.916821Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:65cb6887a864d6c8bd601bb5f5e697b99f5cba39409d1a9d3f0ec630b72c8fb6","observation_id":"ac40d2ef-1eec-4df4-b3b7-035be7d0f6d1","resolution":{"observed_at":"2026-08-07T05:35:08.446451Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-lat/9306018","last_updated":"1993-06-22T12:29:54Z","snapshot_observed_at":"2026-07-07T03:44:08.417837Z","submitted_at":"1993-06-22T12:29:54Z","title":"A Comperative Study of Gauge Fixing Procedures on the Connection Machines CM2 and CM5","version":1},"cited_work":{"arxiv_id":"hep-lat/9306018","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-lat/9306018","snapshot_observed_at":"2026-08-07T05:35:08.155252Z","title":"A Comperative Study of Gauge Fixing Procedures on the Connection Machines CM2 and CM5","venue":"hep-lat","work_id":"3de3db33-e19a-4892-bac9-7409b6e85d03","year":1993},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.921648Z"},"links":{"cited_paper":"/paper/hep-lat/9306018","citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:7d5b72742a30a801cd99b7e34836cfe330ea2f626dfda902d55f6da9928d8e93","observation_id":"bbd60d9e-9703-4f08-b66a-2dc673a77f53","resolution":{"observed_at":"2026-08-07T05:35:08.161535Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.425248Z","title":"Cucchieri and T","venue":null,"work_id":"92bcd03c-4428-4c18-9f35-0b5fbbcfd9ac","year":1996},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.928056Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:bd1f59af59b6d81ceec709cd9c5cc4fcef64defe4ff3c3bd476ffba2ef2b5aa7","observation_id":"3f52ab7b-1706-49dd-b833-044f7f15cc72","resolution":{"observed_at":"2026-08-07T05:35:08.431020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.408070Z","title":"Cucchieri and T","venue":null,"work_id":"de08fd2d-9493-42fc-a017-91b6e298c122","year":1997},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.932470Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:188fbcc2dda7408489880fc245d52727800077bba61fef1331089d66675c42c3","observation_id":"f064092d-1918-42cb-a568-d323e29bb81c","resolution":{"observed_at":"2026-08-07T05:35:08.413336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.390358Z","title":"Cucchieri and T","venue":null,"work_id":"e27380e6-e16b-4b00-a2b4-96b070953dd9","year":2003},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.937131Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:06eb3f84c83cdd8a6593dd16dc28ba05300a2734e0911707a689146fdf7a726b","observation_id":"eac5c22b-bf04-441b-83cf-65f91de0e50c","resolution":{"observed_at":"2026-08-07T05:35:08.397387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.366661Z","title":null,"venue":null,"work_id":"ce39f7ab-fda0-469a-b6c0-1c092418cb92","year":2022},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.941897Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:d5fa6b88551a68288901a79d749386767e5856627cc430e1359e48199cb9b044","observation_id":"719c1eae-5c74-4182-879b-640f26d65e00","resolution":{"observed_at":"2026-08-07T05:35:08.375087Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.348268Z","title":"Zwanziger, Vanishing of zero momentum lattice gluon propagator and col or conﬁnement , Nucl","venue":null,"work_id":"52a1493a-c04d-4a5b-b5f6-a996292f6bf5","year":1991},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.946847Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:d336ba2a24e3ecfcb604b1e7cad439414dc4fc07d92a3ebf5c8d4f589dc43e7b","observation_id":"573d241c-06ec-4c73-af48-c8839a7a79ad","resolution":{"observed_at":"2026-08-07T05:35:08.353466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.330648Z","title":"de Soto, Restoring rotational invariance for lattice QCD propagators , JHEP 10, 069 (2022)","venue":null,"work_id":"26d8f9ec-eaa1-43a6-80e2-698185c79f6b","year":2022},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.951476Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:32fb60019199d67757a78dd6f269115cc089c6e563490660b21563adddba1e22","observation_id":"13f4998e-f647-41f1-933a-b1b7fa826ac9","resolution":{"observed_at":"2026-08-07T05:35:08.337463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.312026Z","title":"Cucchieri, Gribov copies in the minimal Landau gauge: The Inﬂuence on gluo n and ghost propagators, Nucl","venue":null,"work_id":"dcffa673-f6d3-4ea6-847b-c30f27e5f180","year":1997},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.955847Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:59aab7ead941cd494ea8d58fb6d702e59710f2be94a1f033fa51053b9f644f69","observation_id":"d604f9f4-dac3-4ebd-b763-2aeeeba7cff1","resolution":{"observed_at":"2026-08-07T05:35:08.317542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.295630Z","title":null,"venue":null,"work_id":"d9f763ec-0ccc-43bc-97fa-2b838e013c1b","year":1976},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.960013Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:4411f25dcc688408992132906c0ff0e768c89a1195030e8fc4c1da7f94d01bf7","observation_id":"b888bdb5-5dcb-4704-8509-4355a9ddc8a5","resolution":{"observed_at":"2026-08-07T05:35:08.300583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.277478Z","title":"Marinari, C","venue":null,"work_id":"eb9dfc13-f5c7-4176-9400-3ee205410a4a","year":1991},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.964322Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:37852b7add8da79c5c4d63b1a7810a834c6196f084b579bd60f62c28032acbc8","observation_id":"eaa188ea-b07b-4799-a704-abe098fc77e4","resolution":{"observed_at":"2026-08-07T05:35:08.283534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.260728Z","title":null,"venue":null,"work_id":"cce5769d-0758-4c38-b91b-d36b037c0f20","year":1972},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.968949Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:ede98030d00015a92af4877a2da229c645ea6a3e9a5c8ac0975aec787a5b8a42","observation_id":"be6702cd-6c51-4569-b325-61027ae4b1d7","resolution":{"observed_at":"2026-08-07T05:35:08.265777Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9807108","last_updated":"1998-07-15T19:41:51Z","snapshot_observed_at":"2026-07-07T05:17:14.961280Z","submitted_at":"1998-07-15T19:41:51Z","title":"Yang-Mills Fields on the 4-dimensional torus. Part I: Classical Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9807108","snapshot_observed_at":"2026-08-07T05:35:07.973551Z","title":"Gonzalez-Arroyo, Yang-Mills ﬁelds on the four-dimensional torus","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.973551Z"},"links":{"cited_paper":"/paper/hep-th/9807108","citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:77187e96bc876f762d45023993eadf730466bb9fe3c208f5fef15fa214f70ad2","observation_id":"b7afd512-a8f1-42d1-8fb0-8e8733ab1cdb","resolution":{"observed_at":"2026-08-07T05:35:07.973551Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:35:08.242281Z","title":null,"venue":null,"work_id":"8bee4622-5dab-45f6-8a6b-841f7bfe2765","year":2025},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.978462Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:21a0eea271f21ffa8158307aa6800b01b26be54268ba585ca5328204bc268e4b","observation_id":"45a0117b-7fe0-4129-a370-955986a5ba59","resolution":{"observed_at":"2026-08-07T05:35:08.247946Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-lat/9401024","last_updated":"1994-01-20T13:30:24Z","snapshot_observed_at":"2026-07-07T03:44:27.667520Z","submitted_at":"1994-01-20T13:30:24Z","title":"Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory","version":1},"cited_work":{"arxiv_id":"hep-lat/9401024","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-lat/9401024","snapshot_observed_at":"2026-08-07T05:35:08.107190Z","title":"Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory","venue":"hep-lat","work_id":"c61c498d-db4c-4028-aa81-ba2844b18633","year":1994},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.983160Z"},"links":{"cited_paper":"/paper/hep-lat/9401024","citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:152d22abe857647308321eaacbb66ce8eb6eda542f403f03d17771f41dbca65a","observation_id":"20a0e12a-679b-481d-a894-5b8ca436b985","resolution":{"observed_at":"2026-08-07T05:35:08.112516Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.224794Z","title":null,"venue":null,"work_id":"00f49725-c120-4892-8847-07edd0c0fed0","year":1995},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.988822Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:bc00578ac71a5767edf88b93158237631976e9e616c35e7ef668f3d90cfdc21d","observation_id":"5bd97b14-7760-42d6-829a-e27da054832a","resolution":{"observed_at":"2026-08-07T05:35:08.230623Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9410019","last_updated":"1994-10-04T14:58:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1994-10-04T14:58:40Z","title":"Horizon Condition Holds Pointwise on Finite Lattice with Free Boundary Conditions","version":1},"cited_work":{"arxiv_id":"hep-th/9410019","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9410019","snapshot_observed_at":"2026-08-07T05:35:08.082801Z","title":"Horizon Condition Holds Pointwise on Finite Lattice with Free Boundary Conditions","venue":"hep-th","work_id":"9d504715-9de4-4ffe-a5b0-1023a2be4767","year":1994},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.993505Z"},"links":{"cited_paper":"/paper/hep-th/9410019","citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:27604729d8b9ef25f5c994f5063ad5fea92803b647f37c42c7f6e44f015b1f80","observation_id":"9db8f462-66fe-4e18-9e37-46342f6193f6","resolution":{"observed_at":"2026-08-07T05:35:08.088744Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.208514Z","title":"Zwanziger, Vanishing color magnetization in lattice Landau and Coulom b gauges , Phys","venue":null,"work_id":"5509939c-1e70-4bfa-961e-d03426a17863","year":1991},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:07.998509Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:d7888bc4e0631dd97ba6048a8a556b4da20ce04cf1f6b5345914ce3b373e4acd","observation_id":"5b72f3cd-14fb-40b7-82fc-afdfe6a932fb","resolution":{"observed_at":"2026-08-07T05:35:08.213592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.192577Z","title":"Cucchieri and T","venue":null,"work_id":"7fe61413-a26e-4e01-ba67-c2c179fc30a6","year":2008},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:08.003037Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:3bc5e6163dc4bb2d639a48237c1846580857efb07dae272187dc0fb484819d32","observation_id":"3fa4947b-35a0-421e-968e-1e651f52aebb","resolution":{"observed_at":"2026-08-07T05:35:08.197389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12139","last_updated":"2021-04-25T12:21:23Z","snapshot_observed_at":"2026-07-06T11:03:22.635139Z","submitted_at":"2021-04-25T12:21:23Z","title":"SU($N$) Cartan-Weyl bases and color factors","version":1},"cited_work":{"arxiv_id":"2104.12139","doi":null,"metadata_source":"pith","pith_arxiv_id":"2104.12139","snapshot_observed_at":"2026-08-07T05:35:08.053170Z","title":"SU($N$) Cartan-Weyl bases and color factors","venue":"hep-th","work_id":"f31e1111-8f83-4519-b387-cfedeee7fda8","year":2021},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:08.007651Z"},"links":{"cited_paper":"/paper/2104.12139","citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:267c8e8e1084bd1d7da5b189e2bd18442d3aec60ba391a339693396301e454a3","observation_id":"1b9f6af1-4b40-4415-a88e-959502a7fa97","resolution":{"observed_at":"2026-08-07T05:35:08.061421Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T05:35:08.175010Z","title":"Zuber, Invariances in Physics and Group Theory , https://www.lpthe.jussieu.fr/ ~zuber/Cours/InvariancesGroupTheory-2014.pdf (last accessed 2nd of May 2025)","venue":null,"work_id":"56a84f28-9af7-4f48-bbe0-7d8f2ceca902","year":2014},"citing_paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T05:35:08.013219Z"},"links":{"citing_paper":"/paper/2506.07730"},"observation_digest":"sha256:5ea5381090fecb55142cbf3425c3a6e7d23d26c3fb35e0d26abe37c55e3d98a7","observation_id":"7bcc0bf8-cbfd-4e80-b16a-131f722e5437","resolution":{"observed_at":"2026-08-07T05:35:08.180175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.07730","last_updated":"2025-06-09T13:15:00Z","latest_version":1,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-07T05:24:39.396131Z","submitted_at":"2025-06-09T13:15:00Z","title":"Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":4,"verified_fuzzy":23},"total_outbound_references":37},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2506.07730."}