{"as_of":"2026-08-14T20:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3f304e2cf0bf2e8a4689c65aae0fc9f24ab9b14e05945f3521c62b4ec01ad680","coverage":[{"denominator":122,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:08:30.301460Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/1909.02003/citation-record","integrity":"/paper/1909.02003/integrity","json":"/paper/1909.02003/citation-record.json","paper":"/paper/1909.02003"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:27.352388Z","title":"’t Hooft and M","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.352388Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:bc9e31e17e8e1a72350d65238e43f67bc92c8f0380eaa195ef05c69293cc32a6","observation_id":"35aa7ec3-4a0d-4a13-becd-912028f48a39","resolution":{"observed_at":"2026-08-14T05:08:27.352388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:27.361985Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.361985Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:a7660565256bd54b97cb99cf8964cd94644e7d4a2df1a700ea9dab77544b3056","observation_id":"fb1a6214-378f-42e8-8f5e-55216d966d62","resolution":{"observed_at":"2026-08-14T05:08:27.361985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:27.367830Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.367830Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:3c7935628c2232e5303e4b6f26a86adad51cdfd10fb2804eb9d74032277f8f41","observation_id":"417ccc93-e31e-490c-baeb-f4b5c7233b17","resolution":{"observed_at":"2026-08-14T05:08:27.367830Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:27.375373Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.375373Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:cbb35865f3f873b862a5119f586f33f645280e255859dc5e7ad33325067c35a6","observation_id":"b5735245-3616-4668-8db5-f414ae888e3a","resolution":{"observed_at":"2026-08-14T05:08:27.375373Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1507.06118","last_updated":"2015-07-22T10:00:24Z","snapshot_observed_at":"2026-07-06T04:24:33.642334Z","submitted_at":"2015-07-22T10:00:24Z","title":"Evanescent Effects Can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.06118","snapshot_observed_at":"2026-08-14T05:08:27.443638Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.443638Z"},"links":{"cited_paper":"/paper/1507.06118","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:bd13aaf045bd590574e15368c8ceeee940fe32596bde2e9a63ca4ecae898b697","observation_id":"feb59320-2630-41e3-9712-87d1d55c5830","resolution":{"observed_at":"2026-08-14T05:08:27.443638Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1701.02422","last_updated":"2017-01-10T02:52:54Z","snapshot_observed_at":"2026-08-11T02:53:25.210787Z","submitted_at":"2017-01-10T02:52:54Z","title":"Two-Loop Renormalization of Quantum Gravity Simplified","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.02422","snapshot_observed_at":"2026-08-14T05:08:27.456663Z","title":"Bern, H.-H","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.456663Z"},"links":{"cited_paper":"/paper/1701.02422","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:514aea6522c0f9461f57355d8df728834a9687d674f2e6ebe14294af4b27215c","observation_id":"bedb18b9-72d5-4abd-819f-52750994bd29","resolution":{"observed_at":"2026-08-14T05:08:27.456663Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:27.542134Z","title":"Cremmer, B","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.542134Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:e599c0cf6696db295e9149102483f4a094e71ee0a8d3579659d7f5b0dc5987a6","observation_id":"01e64c15-feea-4357-9859-4675222beaa2","resolution":{"observed_at":"2026-08-14T05:08:27.542134Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:27.636261Z","title":"Cremmer and B","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.636261Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:3c4760a538969df21d38183c4ae55f16630447a11bff6f9c11be89e586ea66de","observation_id":"92251cb7-cc2a-459e-be16-b484cf45848f","resolution":{"observed_at":"2026-08-14T05:08:27.636261Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:27.641974Z","title":"Cremmer and B","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.641974Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:cb45d6967be8bec3cdfee6d03ba6887ccdae0f69837d0045d90d2a2b8acb176c","observation_id":"a3201907-5029-4dcd-8f80-ca1eaf78d857","resolution":{"observed_at":"2026-08-14T05:08:27.641974Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0911.5704","last_updated":"2010-05-10T14:41:12Z","snapshot_observed_at":"2026-08-12T04:11:21.092743Z","submitted_at":"2009-11-30T18:58:00Z","title":"R^4 counterterm and E7(7) symmetry in maximal supergravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.5704","snapshot_observed_at":"2026-08-14T05:08:27.705363Z","title":"Broedel and L","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.705363Z"},"links":{"cited_paper":"/paper/0911.5704","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:9eecfd7ad97f77ba4fdb784a9a1e7de67b13d0d04254c56a4f3d5b90c1217a61","observation_id":"bf8c4694-534c-4d61-a600-14f2a0677232","resolution":{"observed_at":"2026-08-14T05:08:27.705363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.3805","last_updated":"2013-10-24T14:49:22Z","snapshot_observed_at":"2026-07-06T02:08:23.514086Z","submitted_at":"2010-02-19T18:36:02Z","title":"String theory dualities and supergravity divergences","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1002.3805","snapshot_observed_at":"2026-08-14T05:08:27.828030Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.828030Z"},"links":{"cited_paper":"/paper/1002.3805","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:707f1fec56c150104a50aeb28e57f4fbc0e128f13ded95025fd5d16720a3c3a5","observation_id":"cc6e7927-cbe5-4325-a3ba-fce2afe4d535","resolution":{"observed_at":"2026-08-14T05:08:27.828030Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1009.0743","last_updated":"2010-11-08T18:50:29Z","snapshot_observed_at":"2026-07-06T02:14:59.376753Z","submitted_at":"2010-09-03T19:12:50Z","title":"On duality symmetries of supergravity invariants","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1009.0743","snapshot_observed_at":"2026-08-14T05:08:27.864792Z","title":"Bossard, P","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.864792Z"},"links":{"cited_paper":"/paper/1009.0743","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:5b50f0483e11e0f2ac387eba809b84827e15ffa3195774027c1c0dc5f1198530","observation_id":"3f15955b-869f-4471-9fca-87a28dba32a4","resolution":{"observed_at":"2026-08-14T05:08:27.864792Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1009.1643","last_updated":"2010-09-22T16:27:50Z","snapshot_observed_at":"2026-08-01T22:16:54.790069Z","submitted_at":"2010-09-08T20:27:20Z","title":"E7(7) constraints on counterterms in N=8 supergravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1009.1643","snapshot_observed_at":"2026-08-14T05:08:27.871080Z","title":"Beisert, H","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.871080Z"},"links":{"cited_paper":"/paper/1009.1643","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:22702304e888296d68b6b01d4f617a77e71975a135c00b27a5eb78524956681a","observation_id":"1db0ab5f-38d4-4196-bee5-14791a728537","resolution":{"observed_at":"2026-08-14T05:08:27.871080Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1004.1392","last_updated":"2010-04-14T16:41:58Z","snapshot_observed_at":"2026-07-06T02:06:40.553158Z","submitted_at":"2010-04-08T18:18:18Z","title":"The critical ultraviolet behaviour of N=8 supergravity amplitudes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.1392","snapshot_observed_at":"2026-08-14T05:08:27.917538Z","title":"Vanhove,The Critical ultraviolet behaviour of N=8 supergravity amplitudes, 1004.1392","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.917538Z"},"links":{"cited_paper":"/paper/1004.1392","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:982cc73614183919f0547fffa214e3a3e9153587de9ef96e331963a2a93ec784","observation_id":"02a8a903-5a6c-489f-9d69-39109b3a7eb6","resolution":{"observed_at":"2026-08-14T05:08:27.917538Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2692","last_updated":"2010-09-06T13:07:45Z","snapshot_observed_at":"2026-08-10T06:23:58.449014Z","submitted_at":"2010-04-15T19:20:41Z","title":"5 loops in 24/5 dimensions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.2692","snapshot_observed_at":"2026-08-14T05:08:27.979955Z","title":"Bjornsson and M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.979955Z"},"links":{"cited_paper":"/paper/1004.2692","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:1df1d3b12efd222b97911169c08f97ee8a83d3fc944c8eb7e56387ff65e0b731","observation_id":"eafbc19c-d862-4a62-8ffb-435bd495a578","resolution":{"observed_at":"2026-08-14T05:08:27.979955Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1009.5906","last_updated":"2010-09-29T15:01:34Z","snapshot_observed_at":"2026-07-06T02:16:04.063146Z","submitted_at":"2010-09-29T15:01:34Z","title":"Multi-loop amplitudes in maximally supersymmetric pure spinor field theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1009.5906","snapshot_observed_at":"2026-08-14T05:08:27.985829Z","title":"Bjornsson,Multi-loop amplitudes in maximally supersymmetric pure spinor field theory, JHEP 01 (2011) 002 [1009.5906]","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:27.985829Z"},"links":{"cited_paper":"/paper/1009.5906","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:c93a055a92f7d127b7d96bb38802e8557d86d472a46cfb2f6791a2df8dbd439e","observation_id":"30cebe08-f2a9-468b-9ffa-be3181b2d433","resolution":{"observed_at":"2026-08-14T05:08:27.985829Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.6087","last_updated":"2011-08-25T18:26:49Z","snapshot_observed_at":"2026-07-06T02:28:31.875580Z","submitted_at":"2011-05-30T19:57:29Z","title":"The vanishing volume of D=4 superspace","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.6087","snapshot_observed_at":"2026-08-14T05:08:28.061762Z","title":"Bossard, P","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.061762Z"},"links":{"cited_paper":"/paper/1105.6087","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:6506033ddadf0df497e6ac3beaa03d44a43a53a54c237c2b2d59b49f850d0743","observation_id":"a8c483cb-331d-4453-8844-90b34dc0be1a","resolution":{"observed_at":"2026-08-14T05:08:28.061762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1007.4813","last_updated":"2010-10-28T00:59:46Z","snapshot_observed_at":"2026-08-08T14:12:01.034478Z","submitted_at":"2010-07-27T20:11:40Z","title":"Stringy KLT relations, global symmetries, and E_7(7) violation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1007.4813","snapshot_observed_at":"2026-08-14T05:08:28.126523Z","title":"Elvang and M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.126523Z"},"links":{"cited_paper":"/paper/1007.4813","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:1e80391f02b56bec3f54ff0abfe5156dd8a09545712b38403f03a1b374c32555","observation_id":"1b7749d9-2700-4672-b1f1-1bf284338766","resolution":{"observed_at":"2026-08-14T05:08:28.126523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09311","last_updated":"2018-04-25T01:47:05Z","snapshot_observed_at":"2026-08-14T19:22:18.499546Z","submitted_at":"2018-04-25T01:47:05Z","title":"Ultraviolet Properties of N = 8 Supergravity at Five Loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.09311","snapshot_observed_at":"2026-08-14T05:08:28.166902Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.166902Z"},"links":{"cited_paper":"/paper/1804.09311","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:7fa317330d64492a51c37e6125be81b954b4f3ebd89424c4fd9cd8c360183d39","observation_id":"a5b60a40-763c-4260-8a89-e2e712072c36","resolution":{"observed_at":"2026-08-14T05:08:28.166902Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0704.0777","last_updated":"2007-04-05T18:44:22Z","snapshot_observed_at":"2026-07-06T01:25:49.692009Z","submitted_at":"2007-04-05T18:44:22Z","title":"Decoupling Supergravity from the Superstring","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0704.0777","snapshot_observed_at":"2026-08-14T05:08:28.172632Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.172632Z"},"links":{"cited_paper":"/paper/0704.0777","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:2e20dd7eb1f1dc47f043d53f4bb653e685facfa796af132fa05bcf264941533d","observation_id":"82e45fae-16e5-4455-962f-f95d1b76c84a","resolution":{"observed_at":"2026-08-14T05:08:28.172632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:28.178413Z","title":"Cremmer, J","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.178413Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:751bb61bc0fcb32d8511b5233ca2c8a9ab4bfc301afe08c12c6b9788429d1cce","observation_id":"3ed53f34-9660-43b6-9bbd-290312202d2d","resolution":{"observed_at":"2026-08-14T05:08:28.178413Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:28.227860Z","title":"Marcus,Composite Anomalies in Supergravity, Phys","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.227860Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:4007e48d0e0e93136ebf7259778f002c31d8ccf8941dc42687a621803175e64a","observation_id":"e0d28e92-f5ac-4af1-ae46-921713635079","resolution":{"observed_at":"2026-08-14T05:08:28.227860Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.3423","last_updated":"2012-07-28T04:52:59Z","snapshot_observed_at":"2026-07-31T03:08:10.043341Z","submitted_at":"2012-02-15T20:24:33Z","title":"Absence of Three-Loop Four-Point Divergences in N=4 Supergravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.3423","snapshot_observed_at":"2026-08-14T05:08:28.247371Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.247371Z"},"links":{"cited_paper":"/paper/1202.3423","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:d0f8c043358fbd9b502b365ba0b7c01951efd96ce4d7196b4aa0ac1b6da9dbe6","observation_id":"dc58fc69-8881-4460-8703-431ab0b31aa5","resolution":{"observed_at":"2026-08-14T05:08:28.247371Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1209.2472","last_updated":"2013-04-30T07:47:49Z","snapshot_observed_at":"2026-07-06T02:55:26.142670Z","submitted_at":"2012-09-12T00:57:08Z","title":"Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.2472","snapshot_observed_at":"2026-08-14T05:08:28.253710Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.253710Z"},"links":{"cited_paper":"/paper/1209.2472","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:9d28d521cb65604fc4acf44eee11aef4a1533b520332c4a3063241bcddb35331","observation_id":"c34c46b7-8161-4313-bd99-375db6883413","resolution":{"observed_at":"2026-08-14T05:08:28.253710Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.0841","last_updated":"2013-02-28T08:46:24Z","snapshot_observed_at":"2026-07-06T03:01:16.046995Z","submitted_at":"2012-12-04T20:01:44Z","title":"Anomalies and divergences in N=4 supergravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.0841","snapshot_observed_at":"2026-08-14T05:08:28.324961Z","title":"Bossard, P","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.324961Z"},"links":{"cited_paper":"/paper/1212.0841","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:aa36cbe2d7ec28afe7e8776a49a1f60195303e407f3f2e3e6797311be4878e2a","observation_id":"29bf6302-01ef-428a-9f6f-b4dfb8905ce6","resolution":{"observed_at":"2026-08-14T05:08:28.324961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.4876","last_updated":"2013-05-21T16:39:28Z","snapshot_observed_at":"2026-07-06T03:13:53.392996Z","submitted_at":"2013-05-21T16:39:28Z","title":"The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.4876","snapshot_observed_at":"2026-08-14T05:08:28.330807Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.330807Z"},"links":{"cited_paper":"/paper/1305.4876","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:bf0255b825f668cccb72c1cecbf30bdb9726c05993b0ad9a42c551fadd5351bf","observation_id":"593710de-a507-4c0e-8c30-1013c8488397","resolution":{"observed_at":"2026-08-14T05:08:28.330807Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.08978","last_updated":"2016-12-28T20:34:35Z","snapshot_observed_at":"2026-07-06T05:24:24.351384Z","submitted_at":"2016-12-28T20:34:35Z","title":"Cancellation of Conformal and Chiral Anomalies in $N \\geq 5$ supergravities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.08978","snapshot_observed_at":"2026-08-14T05:08:28.354543Z","title":"Kallosh,Cancellation of Conformal and Chiral Anomalies inN≥ 5 supergravities, Phys","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.354543Z"},"links":{"cited_paper":"/paper/1612.08978","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:2b9f571442df8b7b39d86712c611bb6ca9030299643ea2a0ee17069ea9e5f525","observation_id":"9fc49da2-ac0a-4e20-abe4-e897a2708b31","resolution":{"observed_at":"2026-08-14T05:08:28.354543Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.03879","last_updated":"2017-05-19T03:56:12Z","snapshot_observed_at":"2026-08-14T14:40:24.564156Z","submitted_at":"2017-03-11T00:31:29Z","title":"Absence of U(1) Anomalous Superamplitudes in $\\mathcal{N}\\geq 5$ Supergravities","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.03879","snapshot_observed_at":"2026-08-14T05:08:28.398352Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.398352Z"},"links":{"cited_paper":"/paper/1703.03879","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:ba03efba084563b7158a84ac794fc51e8d06388c810bc07e0f53d0a07097069c","observation_id":"88003863-3a68-4505-8ac8-8a23d2c27a70","resolution":{"observed_at":"2026-08-14T05:08:28.398352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.3089","last_updated":"2014-09-09T17:30:49Z","snapshot_observed_at":"2026-08-04T10:23:26.250809Z","submitted_at":"2014-09-09T17:30:49Z","title":"Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.3089","snapshot_observed_at":"2026-08-14T05:08:28.405131Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.405131Z"},"links":{"cited_paper":"/paper/1409.3089","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:08977426ea3b1d52ba25a2bccc142a37d72d0d96c33623680b3b7cf84b6156ce","observation_id":"e1351712-e6f7-4899-9b12-60689ff79ddc","resolution":{"observed_at":"2026-08-14T05:08:28.405131Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.08927","last_updated":"2017-03-27T04:40:23Z","snapshot_observed_at":"2026-07-06T05:35:16.240776Z","submitted_at":"2017-03-27T04:40:23Z","title":"Manifesting enhanced cancellations in supergravity: integrands versus integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.08927","snapshot_observed_at":"2026-08-14T05:08:28.411056Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.411056Z"},"links":{"cited_paper":"/paper/1703.08927","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:04ad14b34af0ea56ccb9db3ef3243ab577dd3a094af8edd336bed49f1a5cf69d","observation_id":"12137232-cb6f-4fd1-96bf-7f924d3a4bd7","resolution":{"observed_at":"2026-08-14T05:08:28.411056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.01486","last_updated":"2017-11-18T22:16:37Z","snapshot_observed_at":"2026-08-11T02:52:58.157037Z","submitted_at":"2017-06-05T18:30:41Z","title":"Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.01486","snapshot_observed_at":"2026-08-14T05:08:28.463270Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.463270Z"},"links":{"cited_paper":"/paper/1706.01486","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:8280b5caff055251386f9c8a0b34a0b4b4fb4d4e257b56b2dc178b32fa4eaf62","observation_id":"87043448-93cc-4e2a-8237-6263fd4ecda5","resolution":{"observed_at":"2026-08-14T05:08:28.463270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.03928","last_updated":"2018-11-10T23:26:37Z","snapshot_observed_at":"2026-08-14T20:04:48.440824Z","submitted_at":"2017-12-11T18:16:12Z","title":"Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.03928","snapshot_observed_at":"2026-08-14T05:08:28.517934Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.517934Z"},"links":{"cited_paper":"/paper/1712.03928","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:d4a520ab682ec2b33e7ed56caa17be9c190c90ece1166fa0009de4167631d731","observation_id":"09c665d7-1dd0-46cc-a085-9ace45ae1399","resolution":{"observed_at":"2026-08-14T05:08:28.517934Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.05151","last_updated":"2019-05-13T17:09:22Z","snapshot_observed_at":"2026-08-14T16:33:04.655044Z","submitted_at":"2019-05-13T17:09:22Z","title":"Two-loop n-point anomalous amplitudes in N=4 supergravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.05151","snapshot_observed_at":"2026-08-14T05:08:28.565211Z","title":null,"venue":null,"work_id":null,"year":1905},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.565211Z"},"links":{"cited_paper":"/paper/1905.05151","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:668ba0fcf1dc3cf2670a270f363d0f5058e94781689f0de6fc36e582836fca2e","observation_id":"714094ab-ae27-461c-888e-4ca60248c43e","resolution":{"observed_at":"2026-08-14T05:08:28.565211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.10446","last_updated":"2018-08-30T18:00:00Z","snapshot_observed_at":"2026-08-14T18:34:57.185346Z","submitted_at":"2018-08-30T18:00:00Z","title":"UV cancelations in gravity loop integrands","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.10446","snapshot_observed_at":"2026-08-14T05:08:28.626884Z","title":"Herrmann and J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.626884Z"},"links":{"cited_paper":"/paper/1808.10446","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:0e9b8f1382d3b4ccaf928ae7d467b61c7614758b54da0135ccb5f7ce8ca08cac","observation_id":"270c9b7e-1b01-4855-93cf-f32edb2b83a9","resolution":{"observed_at":"2026-08-14T05:08:28.626884Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.2007","last_updated":"2013-12-06T21:00:01Z","snapshot_observed_at":"2026-07-06T03:30:14.117217Z","submitted_at":"2013-12-06T21:00:01Z","title":"The Amplituhedron","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.2007","snapshot_observed_at":"2026-08-14T05:08:28.633791Z","title":"Arkani-Hamed and J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.633791Z"},"links":{"cited_paper":"/paper/1312.2007","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:2bd01073adfc0937f93ebc5c9c8cc325252c66a9b87c33986fa51c3cd628effe","observation_id":"1b5ba23d-b3ce-4d93-8548-ecc6c4786a38","resolution":{"observed_at":"2026-08-14T05:08:28.633791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.7878","last_updated":"2013-12-30T20:59:32Z","snapshot_observed_at":"2026-08-14T15:03:36.085915Z","submitted_at":"2013-12-30T20:59:32Z","title":"Into the Amplituhedron","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.7878","snapshot_observed_at":"2026-08-14T05:08:28.640685Z","title":"Arkani-Hamed and J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.640685Z"},"links":{"cited_paper":"/paper/1312.7878","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:59e8f77d8ec62c52b22c74bdcbb5f29e47dbba56f1b1ddb6d5e8b306e2588784","observation_id":"3d3adbfc-14ef-450b-96fc-0115ad03764d","resolution":{"observed_at":"2026-08-14T05:08:28.640685Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.05069","last_updated":"2017-04-17T18:00:02Z","snapshot_observed_at":"2026-08-10T01:49:24.944173Z","submitted_at":"2017-04-17T18:00:02Z","title":"Unwinding the Amplituhedron in Binary","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.05069","snapshot_observed_at":"2026-08-14T05:08:28.711947Z","title":"Arkani-Hamed, H","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.711947Z"},"links":{"cited_paper":"/paper/1704.05069","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:638fb554b40c9b9f11427573abfe4f4b864f3f7b0529d484eb0afead2628d320","observation_id":"5ffc41ef-e151-4010-b310-039bb38446cf","resolution":{"observed_at":"2026-08-14T05:08:28.711947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.04216","last_updated":"2019-05-10T15:25:31Z","snapshot_observed_at":"2026-08-14T16:34:13.104776Z","submitted_at":"2019-05-10T15:25:31Z","title":"The Momentum Amplituhedron","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.04216","snapshot_observed_at":"2026-08-14T05:08:28.791568Z","title":"Damgaard, L","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.791568Z"},"links":{"cited_paper":"/paper/1905.04216","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:9f6b2796f1815648e32af04dbf0f01ce1a1d145de34b328fe85b7fc0c38be381","observation_id":"da70415a-ab25-45bf-b27a-18c1f7a9b798","resolution":{"observed_at":"2026-08-14T05:08:28.791568Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.08208","last_updated":"2018-10-18T18:00:02Z","snapshot_observed_at":"2026-08-14T18:12:30.650509Z","submitted_at":"2018-10-18T18:00:02Z","title":"Cutting Deep Into The Amplituhedron","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.08208","snapshot_observed_at":"2026-08-14T05:08:28.798078Z","title":"Arkani-Hamed, C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.798078Z"},"links":{"cited_paper":"/paper/1810.08208","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:743952299dec0848c5d77f4f7e691486adcf20b65a128f9a2b341bac965b0512","observation_id":"8d4b8be5-8674-4f66-9eb0-dd2ce54bab65","resolution":{"observed_at":"2026-08-14T05:08:28.798078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.09102","last_updated":"2018-03-28T17:02:29Z","snapshot_observed_at":"2026-08-14T20:10:23.035548Z","submitted_at":"2017-11-24T19:00:06Z","title":"Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.09102","snapshot_observed_at":"2026-08-14T05:08:28.804661Z","title":"Arkani-Hamed, Y","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.804661Z"},"links":{"cited_paper":"/paper/1711.09102","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:7c733f44f08da24bc29b5db9ae855cbe711e02c863f9f20852bac77e07562c72","observation_id":"d4cd8226-d784-44a8-8623-b1b47fb256af","resolution":{"observed_at":"2026-08-14T05:08:28.804661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.04541","last_updated":"2017-07-30T22:47:26Z","snapshot_observed_at":"2026-08-14T14:37:06.688080Z","submitted_at":"2017-03-13T18:29:07Z","title":"Positive Geometries and Canonical Forms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.04541","snapshot_observed_at":"2026-08-14T05:08:28.875451Z","title":"Arkani-Hamed, Y","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.875451Z"},"links":{"cited_paper":"/paper/1703.04541","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:ef0c9f8af9abf9ea5f67f89595ee870b051f34313c542dafbab46fde7713b753","observation_id":"bb366745-8e12-4f18-8dde-73cd7026b39c","resolution":{"observed_at":"2026-08-14T05:08:28.875451Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.11051","last_updated":"2018-08-31T11:34:31Z","snapshot_observed_at":"2026-08-14T18:46:41.028681Z","submitted_at":"2018-07-29T13:23:40Z","title":"Notes on Scattering Amplitudes as Differential Forms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.11051","snapshot_observed_at":"2026-08-14T05:08:28.885447Z","title":"He and C","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.885447Z"},"links":{"cited_paper":"/paper/1807.11051","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:12d71b4ffa9aa374061299bf33f16f938191514412602c05caabd8f662c8123a","observation_id":"42bd3353-0be2-41ee-a206-6a962e3f6398","resolution":{"observed_at":"2026-08-14T05:08:28.885447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9409265","last_updated":"1994-09-09T01:05:31Z","snapshot_observed_at":"2026-07-07T04:18:06.203579Z","submitted_at":"1994-09-09T01:05:31Z","title":"Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9409265","snapshot_observed_at":"2026-08-14T05:08:28.891220Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.891220Z"},"links":{"cited_paper":"/paper/hep-ph/9409265","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:e40fd8fbec0d7eda08d0458d51466842be351740eeb100eb7a58b0bbf8fb37ba","observation_id":"ead9c458-1fb9-4616-b692-bbabe5dc4bbe","resolution":{"observed_at":"2026-08-14T05:08:28.891220Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9708239","last_updated":"1997-08-04T22:50:52Z","snapshot_observed_at":"2026-07-07T04:26:35.236567Z","submitted_at":"1997-08-04T22:50:52Z","title":"One-Loop Amplitudes for e^+ e^- to Four Partons","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9708239","snapshot_observed_at":"2026-08-14T05:08:28.895901Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.895901Z"},"links":{"cited_paper":"/paper/hep-ph/9708239","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:b7466dad2edeef02147811be2c0e176d89936b5114754ca77550642266dda1f3","observation_id":"c51fc840-8573-4e84-851a-c9912b7fcf43","resolution":{"observed_at":"2026-08-14T05:08:28.895901Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0412103","last_updated":"2005-01-31T19:47:56Z","snapshot_observed_at":"2026-07-07T04:52:42.504762Z","submitted_at":"2004-12-10T20:52:50Z","title":"Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0412103","snapshot_observed_at":"2026-08-14T05:08:28.900812Z","title":"Britto, F","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.900812Z"},"links":{"cited_paper":"/paper/hep-th/0412103","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:75297aa89c5de9458fa891248e2ddb13cf2b1440d5ebdc1ffca4dfecc56c0ad7","observation_id":"8cd4d8cc-0a6f-428d-9f06-45ccdf4eb59c","resolution":{"observed_at":"2026-08-14T05:08:28.900812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0705.1864","last_updated":"2007-05-14T03:29:04Z","snapshot_observed_at":"2026-07-06T01:27:11.026578Z","submitted_at":"2007-05-14T03:29:04Z","title":"Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0705.1864","snapshot_observed_at":"2026-08-14T05:08:28.986745Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.986745Z"},"links":{"cited_paper":"/paper/0705.1864","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:462feb17096bbc8dce6981eb31af0e98248c0cd6a6dac3b1a76edf920b036154","observation_id":"a5a9da1d-b81a-4892-bf96-a510e96a9f7f","resolution":{"observed_at":"2026-08-14T05:08:28.986745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0412308","last_updated":"2005-02-05T03:29:22Z","snapshot_observed_at":"2026-08-14T11:55:29.360791Z","submitted_at":"2004-12-27T20:23:36Z","title":"New Recursion Relations for Tree Amplitudes of Gluons","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0412308","snapshot_observed_at":"2026-08-14T05:08:28.992802Z","title":"Britto, F","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.992802Z"},"links":{"cited_paper":"/paper/hep-th/0412308","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:9909d035d72ab5b6e5081ae4b1d04c586b7a56a723f06f0242db11b2bba6780c","observation_id":"eabbcdf4-5bfe-4476-af82-7ec9de551cd6","resolution":{"observed_at":"2026-08-14T05:08:28.992802Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0501052","last_updated":"2005-02-08T22:57:38Z","snapshot_observed_at":"2026-08-10T08:25:23.520608Z","submitted_at":"2005-01-07T20:04:03Z","title":"Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0501052","snapshot_observed_at":"2026-08-14T05:08:28.998309Z","title":"Britto, F","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:28.998309Z"},"links":{"cited_paper":"/paper/hep-th/0501052","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:b691520077aa24804e855c2bb2693cbccb2f51659235f1d223046fb92cce17b1","observation_id":"2d0a8778-7fb2-4e8b-9fcb-bccce5cfcee6","resolution":{"observed_at":"2026-08-14T05:08:28.998309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.08591","last_updated":"2015-12-29T03:07:01Z","snapshot_observed_at":"2026-07-06T04:41:18.394745Z","submitted_at":"2015-12-29T03:07:01Z","title":"Evidence for a Nonplanar Amplituhedron","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.08591","snapshot_observed_at":"2026-08-14T05:08:29.037232Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.037232Z"},"links":{"cited_paper":"/paper/1512.08591","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:86423e6c94b39d7bc76ea19cfb0c8ef2c240c5fe562727dc5cb68b18cf434ae2","observation_id":"720b991b-7329-4f9a-a280-76aaa9ec5067","resolution":{"observed_at":"2026-08-14T05:08:29.037232Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0502146","last_updated":"2005-06-10T11:45:49Z","snapshot_observed_at":"2026-08-06T00:27:59.202392Z","submitted_at":"2005-02-16T18:48:40Z","title":"A recursion relation for gravity amplitudes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0502146","snapshot_observed_at":"2026-08-14T05:08:29.102418Z","title":"Bedford, A","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.102418Z"},"links":{"cited_paper":"/paper/hep-th/0502146","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:3fbeafb9c22522f6062773c1ad7187fe499a9b1a18b0f189516f5a407a3cb217","observation_id":"a769c342-c65c-4e1b-9b60-65dd62905e19","resolution":{"observed_at":"2026-08-14T05:08:29.102418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0502160","last_updated":"2005-03-11T17:02:42Z","snapshot_observed_at":"2026-08-05T22:43:54.713560Z","submitted_at":"2005-02-17T20:53:43Z","title":"Tree Level Recursion Relations In General Relativity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0502160","snapshot_observed_at":"2026-08-14T05:08:29.235160Z","title":"Cachazo and P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.235160Z"},"links":{"cited_paper":"/paper/hep-th/0502160","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:dd6017daab27926f86c422bd8615ac3fe80072cee81f983bdee2d49eddb1c821","observation_id":"0485cd10-a993-4dd7-8391-50c9ff031f26","resolution":{"observed_at":"2026-08-14T05:08:29.235160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0702032","last_updated":"2008-12-13T14:48:19Z","snapshot_observed_at":"2026-07-07T04:59:58.828646Z","submitted_at":"2007-02-05T20:06:31Z","title":"Taming Tree Amplitudes In General Relativity","version":2},"cited_work":{"arxiv_id":"hep-th/0702032","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0702032","snapshot_observed_at":"2026-08-14T05:08:32.838052Z","title":"Taming Tree Amplitudes In General Relativity","venue":"hep-th","work_id":"b956a72f-1b57-47e6-90a9-599c796ba728","year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.240897Z"},"links":{"cited_paper":"/paper/hep-th/0702032","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:55460b43ff1ff43b8561211f11573a1e3a335d58adb005043d055434e73b226a","observation_id":"717f843d-1942-4662-ba0b-c7e2651642f1","resolution":{"observed_at":"2026-08-14T05:08:32.932708Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0707.1035","last_updated":"2011-01-30T22:53:35Z","snapshot_observed_at":"2026-08-12T14:20:09.367535Z","submitted_at":"2007-07-08T22:41:47Z","title":"Unexpected Cancellations in Gravity Theories","version":2},"cited_work":{"arxiv_id":"0707.1035","doi":null,"metadata_source":"pith","pith_arxiv_id":"0707.1035","snapshot_observed_at":"2026-08-14T05:08:32.806559Z","title":"Unexpected Cancellations in Gravity Theories","venue":"hep-th","work_id":"0222263d-d5bc-4239-b02f-3884dcbd20e2","year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.246370Z"},"links":{"cited_paper":"/paper/0707.1035","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:3e3242bcdebff62876f4fc81880960587185fa4c518b0ebbbdfb7119b4e673de","observation_id":"1974f61c-28c5-4dd8-b2a8-e9b97e7ede7b","resolution":{"observed_at":"2026-08-14T05:08:32.814014Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:29.251562Z","title":"Passarino and M","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.251562Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:b3a74394dbd28500f207b3be05ba02a8735e130aafa1d0592bb44115b2cb4075","observation_id":"cc0e5ed6-3883-42b2-9ba3-b351efaa5194","resolution":{"observed_at":"2026-08-14T05:08:29.251562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0609007","last_updated":"2006-11-29T08:31:10Z","snapshot_observed_at":"2026-07-07T04:12:07.006377Z","submitted_at":"2006-09-01T14:41:51Z","title":"Reducing full one-loop amplitudes to scalar integrals at the integrand level","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0609007","snapshot_observed_at":"2026-08-14T05:08:29.286439Z","title":"Ossola, C","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.286439Z"},"links":{"cited_paper":"/paper/hep-ph/0609007","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:acb5eb067b4ecc47a7dd614be81bf228304edea16bbbca1266ba7bb04e55d4cd","observation_id":"c5c66e1f-7413-4d1e-83c1-f1d1210c47dd","resolution":{"observed_at":"2026-08-14T05:08:29.286439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1006.0710","last_updated":"2010-06-03T18:01:52Z","snapshot_observed_at":"2026-07-06T02:11:13.120980Z","submitted_at":"2010-06-03T18:01:52Z","title":"Scattering AMplitudes from Unitarity-based Reduction Algorithm at the Integrand-level","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.0710","snapshot_observed_at":"2026-08-14T05:08:29.337045Z","title":"Mastrolia, G","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.337045Z"},"links":{"cited_paper":"/paper/1006.0710","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:4ece3756097d37625c84680bb7647f338ee53ea6de06252c3476331b421eff26","observation_id":"dda3fc4e-89f7-4e38-a359-37c5ceb7eaba","resolution":{"observed_at":"2026-08-14T05:08:29.337045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.05626","last_updated":"2015-10-19T19:24:27Z","snapshot_observed_at":"2026-07-06T04:33:36.027549Z","submitted_at":"2015-10-19T19:24:27Z","title":"Two-loop Integrand Decomposition into Master Integrals and Surface Terms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.05626","snapshot_observed_at":"2026-08-14T05:08:29.342829Z","title":"Ita,Two-loop Integrand Decomposition into Master Integrals and Surface Terms, Phys","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.342829Z"},"links":{"cited_paper":"/paper/1510.05626","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:8a7b991f79e3587ea633c92e73cabcba67b31271eccdb2291cc346d53bade10b","observation_id":"dfd9743a-ce39-4a93-812a-3891c52bb640","resolution":{"observed_at":"2026-08-14T05:08:29.342829Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.05460","last_updated":"2017-04-18T18:00:01Z","snapshot_observed_at":"2026-08-13T15:00:59.234141Z","submitted_at":"2017-04-18T18:00:01Z","title":"Prescriptive Unitarity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.05460","snapshot_observed_at":"2026-08-14T05:08:29.349448Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.349448Z"},"links":{"cited_paper":"/paper/1704.05460","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:d159368d2d34a32f2d762254bd11a6ce05f981d150dcee1262ae2c313537e5ab","observation_id":"a6b5a62a-7665-4700-b49f-dceeee843238","resolution":{"observed_at":"2026-08-14T05:08:29.349448Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.2958","last_updated":"2010-12-29T20:33:56Z","snapshot_observed_at":"2026-08-14T06:31:51.031606Z","submitted_at":"2010-08-17T20:00:01Z","title":"The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.2958","snapshot_observed_at":"2026-08-14T05:08:29.356145Z","title":"Arkani-Hamed, J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.356145Z"},"links":{"cited_paper":"/paper/1008.2958","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:7527b66f8639ea2d9b5f2a2bc69aa81ecd44a9ff026e5554f476328c4c1d8b67","observation_id":"da5b5637-e979-4175-9d92-9740554fbc8c","resolution":{"observed_at":"2026-08-14T05:08:29.356145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.5605","last_updated":"2014-03-17T17:30:40Z","snapshot_observed_at":"2026-08-12T21:05:54.163173Z","submitted_at":"2012-12-21T21:00:02Z","title":"Scattering Amplitudes and the Positive Grassmannian","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.5605","snapshot_observed_at":"2026-08-14T05:08:29.402077Z","title":"Arkani-Hamed, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.402077Z"},"links":{"cited_paper":"/paper/1212.5605","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:77b5005f5e21d680d7365d202d2b47091fd2a9b20606391f693e164e5824c310","observation_id":"356423ce-5007-443f-a6a4-30d51760c79c","resolution":{"observed_at":"2026-08-14T05:08:29.402077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1006.5703","last_updated":"2010-10-07T18:04:24Z","snapshot_observed_at":"2026-08-12T21:06:57.707703Z","submitted_at":"2010-06-29T19:03:36Z","title":"Classical Polylogarithms for Amplitudes and Wilson Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.5703","snapshot_observed_at":"2026-08-14T05:08:29.434675Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.434675Z"},"links":{"cited_paper":"/paper/1006.5703","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:3727c6899d410d549468e8650f36196ab5a9ed0ed6ec01d9fbe33123f57ac7be","observation_id":"4c0d244d-539a-4f45-918a-22b34e3c24df","resolution":{"observed_at":"2026-08-14T05:08:29.434675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.3763","last_updated":"2015-11-10T03:57:58Z","snapshot_observed_at":"2026-07-06T04:03:17.809828Z","submitted_at":"2014-12-11T18:58:09Z","title":"A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.3763","snapshot_observed_at":"2026-08-14T05:08:29.440955Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.440955Z"},"links":{"cited_paper":"/paper/1412.3763","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:06c520a1e8f84f7adad318f7992cb68fd66b73cbbfba27cce4b95c83b81d4f3e","observation_id":"92985c3a-f74f-4bb7-b623-8a594901b266","resolution":{"observed_at":"2026-08-14T05:08:29.440955Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1111.1704","last_updated":"2012-01-04T22:47:19Z","snapshot_observed_at":"2026-08-12T21:07:19.901157Z","submitted_at":"2011-11-07T20:39:46Z","title":"Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1111.1704","snapshot_observed_at":"2026-08-14T05:08:29.448093Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.448093Z"},"links":{"cited_paper":"/paper/1111.1704","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:618ebc07e02c06b3b72c443fa7cb58471644ecbba2a6ef537e9d6ca9809452bb","observation_id":"32ece057-11d7-424f-8ff7-01793c3e6640","resolution":{"observed_at":"2026-08-14T05:08:29.448093Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1108.4461","last_updated":"2011-11-08T22:28:55Z","snapshot_observed_at":"2026-08-14T16:35:43.349681Z","submitted_at":"2011-08-23T00:42:21Z","title":"Bootstrapping the three-loop hexagon","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1108.4461","snapshot_observed_at":"2026-08-14T05:08:29.454648Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.454648Z"},"links":{"cited_paper":"/paper/1108.4461","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:6c147b0acf51263c6ce995818d4e9774f2263c2e4269ceb8394392c228746b92","observation_id":"2ca474a7-bb95-468b-986f-34e446eea16d","resolution":{"observed_at":"2026-08-14T05:08:29.454648Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.10890","last_updated":"2019-07-26T13:09:44Z","snapshot_observed_at":"2026-08-14T16:56:37.336716Z","submitted_at":"2019-03-26T13:42:57Z","title":"Six-Gluon Amplitudes in Planar ${\\cal N}=4$ Super-Yang-Mills Theory at Six and Seven Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.10890","snapshot_observed_at":"2026-08-14T05:08:29.496029Z","title":"Caron-Huot, L","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.496029Z"},"links":{"cited_paper":"/paper/1903.10890","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:c747a17cab01680d511b9917eafb3d4a2a215a389dac4cd5d2d0311ca37328d9","observation_id":"2a7c9881-9d60-4b29-932c-b798b5454146","resolution":{"observed_at":"2026-08-14T05:08:29.496029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1802.09395","last_updated":"2018-07-30T15:55:41Z","snapshot_observed_at":"2026-08-14T19:42:06.744038Z","submitted_at":"2018-02-26T15:25:13Z","title":"Scattering Amplitudes -- Wilson Loops Duality for the First Non-planar Correction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.09395","snapshot_observed_at":"2026-08-14T05:08:29.547472Z","title":"Ben-Israel, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.547472Z"},"links":{"cited_paper":"/paper/1802.09395","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:c4be24d3d5fe3cce39e7b8e067d47a884e5617aad1da396e364e2ada35b54a23","observation_id":"d7c2a844-be4b-4f33-91ff-6335ed43b37f","resolution":{"observed_at":"2026-08-14T05:08:29.547472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.02432","last_updated":"2019-01-14T14:25:52Z","snapshot_observed_at":"2026-08-14T17:33:38.484753Z","submitted_at":"2019-01-08T18:20:15Z","title":"On integrands and loop momentum in string and field theory","version":2},"cited_work":{"arxiv_id":"1901.02432","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.02432","snapshot_observed_at":"2026-08-14T05:08:32.402028Z","title":"On integrands and loop momentum in string and field theory","venue":"hep-th","work_id":"5ddc8825-ad0c-4a47-9bcb-47c687c03348","year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.553209Z"},"links":{"cited_paper":"/paper/1901.02432","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:c7e0ad29ea74bf0de18bddf022cda783c240856a937ae11bf1afb141c06f014e","observation_id":"000d5e7b-0a55-4720-841f-dc62c1f8f9ff","resolution":{"observed_at":"2026-08-14T05:08:32.486290Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.03479","last_updated":"2016-04-12T16:55:59Z","snapshot_observed_at":"2026-07-06T04:52:37.703731Z","submitted_at":"2016-04-12T16:55:59Z","title":"Gravity On-shell Diagrams","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.03479","snapshot_observed_at":"2026-08-14T05:08:29.558515Z","title":"Herrmann and J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.558515Z"},"links":{"cited_paper":"/paper/1604.03479","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:1b1c24358912a9232d4d9a38f75779c67dcaca2883f903a9a91965d281a48680","observation_id":"92f3f6c8-e28f-41c4-909a-f0b9c8ed10b2","resolution":{"observed_at":"2026-08-14T05:08:29.558515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0803.1988","last_updated":"2008-03-13T15:08:15Z","snapshot_observed_at":"2026-07-06T01:35:44.689779Z","submitted_at":"2008-03-13T15:08:15Z","title":"Sharpening The Leading Singularity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0803.1988","snapshot_observed_at":"2026-08-14T05:08:29.618185Z","title":"Cachazo,Sharpening The Leading Singularity, 0803.1988","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.618185Z"},"links":{"cited_paper":"/paper/0803.1988","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:083e4af808f2b5c725873b2de74e433d7cc65b2e3f1a9bbcc2ab00758063e835","observation_id":"5d3a9180-ad07-40c1-af88-7d557cd11c1c","resolution":{"observed_at":"2026-08-14T05:08:29.618185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9602280","last_updated":"1996-02-13T00:06:22Z","snapshot_observed_at":"2026-07-07T04:21:54.735991Z","submitted_at":"1996-02-13T00:06:22Z","title":"Progress in One-Loop QCD Computations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9602280","snapshot_observed_at":"2026-08-14T05:08:29.647876Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.647876Z"},"links":{"cited_paper":"/paper/hep-ph/9602280","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:8f7c4695c16f26dd25b551af9396edf3fd766cccb2618d569cdc002b398e548b","observation_id":"3fa34442-c772-4b23-a208-1ef714d6209f","resolution":{"observed_at":"2026-08-14T05:08:29.647876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0609191","last_updated":"2006-09-27T09:59:39Z","snapshot_observed_at":"2026-08-11T04:28:35.339742Z","submitted_at":"2006-09-19T12:33:20Z","title":"D-dimensional unitarity cut method","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0609191","snapshot_observed_at":"2026-08-14T05:08:29.654117Z","title":"Anastasiou, R","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.654117Z"},"links":{"cited_paper":"/paper/hep-ph/0609191","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:1bd7d255c9bbc926a0382559031ff34165f052bf52e047cc62ab246566de6be2","observation_id":"1aa7829c-50a5-4ad4-a935-168f85235192","resolution":{"observed_at":"2026-08-14T05:08:29.654117Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.0801","last_updated":"2025-05-07T05:30:33Z","snapshot_observed_at":"2026-08-14T12:41:04.337045Z","submitted_at":"2012-05-03T19:51:17Z","title":"Uniqueness of two-loop master contours","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.0801","snapshot_observed_at":"2026-08-14T05:08:29.659744Z","title":"Caron-Huot and K","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.659744Z"},"links":{"cited_paper":"/paper/1205.0801","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:4416f7562d9a6660340393c79a7bc5e59c10be72bb5800658181a0df880c3860","observation_id":"04a6541b-0272-4102-bf78-454df31d4f35","resolution":{"observed_at":"2026-08-14T05:08:29.659744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.02785","last_updated":"2018-02-14T22:34:10Z","snapshot_observed_at":"2026-08-14T20:05:47.788678Z","submitted_at":"2017-12-07T18:59:26Z","title":"The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.02785","snapshot_observed_at":"2026-08-14T05:08:29.665256Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.665256Z"},"links":{"cited_paper":"/paper/1712.02785","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:7eedcf729366cf99b771059855888ad7439536fef2cf40123a405dccd0e12c3d","observation_id":"39419f30-6781-4365-a659-321246cc3c1f","resolution":{"observed_at":"2026-08-14T05:08:29.665256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.09326","last_updated":"2018-08-09T16:10:40Z","snapshot_observed_at":"2026-08-14T19:11:53.770345Z","submitted_at":"2018-05-23T18:00:00Z","title":"Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.09326","snapshot_observed_at":"2026-08-14T05:08:29.719443Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.719443Z"},"links":{"cited_paper":"/paper/1805.09326","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:034d7e39abb393ca05c331e38d64fdd0989536b51d305ae01a27caa365acaae8","observation_id":"83d4dd38-0d72-4af1-8212-dbf0dd653f1d","resolution":{"observed_at":"2026-08-14T05:08:29.719443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.07689","last_updated":"2019-01-28T11:16:47Z","snapshot_observed_at":"2026-08-14T18:13:04.550062Z","submitted_at":"2018-10-17T17:59:59Z","title":"A (Bounded) Bestiary of Feynman Integral Calabi-Yau Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.07689","snapshot_observed_at":"2026-08-14T05:08:29.743009Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.743009Z"},"links":{"cited_paper":"/paper/1810.07689","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:07664732c0174ffaed49552091cb67451e1c8e330127e75485ba6e46073d0c43","observation_id":"bc0efeaf-0562-4f6d-ac4a-64b84a7c327c","resolution":{"observed_at":"2026-08-14T05:08:29.743009Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1809.10698","last_updated":"2018-09-27T18:02:20Z","snapshot_observed_at":"2026-08-14T18:22:33.373274Z","submitted_at":"2018-09-27T18:02:20Z","title":"Elliptic Feynman integrals and pure functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.10698","snapshot_observed_at":"2026-08-14T05:08:29.748324Z","title":"Broedel, C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.748324Z"},"links":{"cited_paper":"/paper/1809.10698","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:8b7a6364e33a86e5b9c60088adb717041d8485804153c12bbe2276438736d1d2","observation_id":"d56ae95e-b260-462e-8b3f-583d6803e1a9","resolution":{"observed_at":"2026-08-14T05:08:29.748324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.0354","last_updated":"2014-10-01T20:00:00Z","snapshot_observed_at":"2026-07-06T03:56:10.328949Z","submitted_at":"2014-10-01T20:00:00Z","title":"On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.0354","snapshot_observed_at":"2026-08-14T05:08:29.753532Z","title":"Arkani-Hamed, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.753532Z"},"links":{"cited_paper":"/paper/1410.0354","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:82c418bc10253534ddcc918dff09fa66e36e649c4887278f9412282c6ebcab4b","observation_id":"25ae40a8-3532-4288-8b56-ef89eb4e5b6f","resolution":{"observed_at":"2026-08-14T05:08:29.753532Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.8584","last_updated":"2016-02-01T06:02:06Z","snapshot_observed_at":"2026-07-06T04:04:58.640060Z","submitted_at":"2014-12-30T08:54:13Z","title":"Logarithmic Singularities and Maximally Supersymmetric Amplitudes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.8584","snapshot_observed_at":"2026-08-14T05:08:29.760551Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.760551Z"},"links":{"cited_paper":"/paper/1412.8584","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:2b2f8cc9fecfb62b2dacb017feea7f0d9a907f3e529023c6928f61f07e31f788","observation_id":"6cac8858-0d57-4fd3-bbf2-a1940b0595e8","resolution":{"observed_at":"2026-08-14T05:08:29.760551Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.1806","last_updated":"2013-05-31T15:05:36Z","snapshot_observed_at":"2026-08-12T18:27:08.007082Z","submitted_at":"2013-04-05T20:00:03Z","title":"Multiloop integrals in dimensional regularization made simple","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.1806","snapshot_observed_at":"2026-08-14T05:08:29.767444Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.767444Z"},"links":{"cited_paper":"/paper/1304.1806","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:a4a3466a09c4c1841079822922869261dd8a67a173c1a61a013c40120fd4307b","observation_id":"33fb652e-d313-4530-8ca8-4e117632bdc2","resolution":{"observed_at":"2026-08-14T05:08:29.767444Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.2296","last_updated":"2015-03-10T19:04:44Z","snapshot_observed_at":"2026-08-14T20:33:02.362731Z","submitted_at":"2014-12-06T23:03:55Z","title":"Lectures on differential equations for Feynman integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.2296","snapshot_observed_at":"2026-08-14T05:08:29.805213Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.805213Z"},"links":{"cited_paper":"/paper/1412.2296","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:434c4dac3dcee721a3ef6b29c83c6a960cf392a6bbc416b749970890df904e17","observation_id":"7f94fe26-d530-42e5-b28f-538564d5705a","resolution":{"observed_at":"2026-08-14T05:08:29.805213Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.06321","last_updated":"2018-07-30T08:13:31Z","snapshot_observed_at":"2026-08-14T18:51:06.417118Z","submitted_at":"2018-07-17T10:28:47Z","title":"Implications of nonplanar dual conformal symmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.06321","snapshot_observed_at":"2026-08-14T05:08:29.810881Z","title":"Chicherin, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.810881Z"},"links":{"cited_paper":"/paper/1807.06321","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:8cde84ca6e50815340e77ec1bde03f9e69d3efe76e3e30b905b0e41dde27a4b7","observation_id":"73c240b6-939b-4f6b-b7ae-4cc6c964d543","resolution":{"observed_at":"2026-08-14T05:08:29.810881Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.03163","last_updated":"2017-03-21T17:20:55Z","snapshot_observed_at":"2026-08-07T21:03:15.493431Z","submitted_at":"2017-02-10T13:27:23Z","title":"Cuts from residues: the one-loop case","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.03163","snapshot_observed_at":"2026-08-14T05:08:29.816482Z","title":"Abreu, R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.816482Z"},"links":{"cited_paper":"/paper/1702.03163","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:58dd0975f355830bb16fe0d091a744872c1c8f2c884ca1f8dcd5112f7d6bd598","observation_id":"4ae542dd-eb38-46b6-8de3-2462e67cc601","resolution":{"observed_at":"2026-08-14T05:08:29.816482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.05064","last_updated":"2017-03-15T10:30:16Z","snapshot_observed_at":"2026-08-14T16:42:39.303917Z","submitted_at":"2017-03-15T10:30:16Z","title":"The algebraic structure of cut Feynman integrals and the diagrammatic coaction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.05064","snapshot_observed_at":"2026-08-14T05:08:29.822254Z","title":"Abreu, R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.822254Z"},"links":{"cited_paper":"/paper/1703.05064","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:b949bfda74240f23489d6e52d8002178f9e2fbc02365eae3e8f06f1f4121e706","observation_id":"8b5cb534-0bf3-4ebb-bbdc-efd8892c0c2d","resolution":{"observed_at":"2026-08-14T05:08:29.822254Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.13905","last_updated":"2020-07-27T23:07:56Z","snapshot_observed_at":"2026-08-03T22:45:56.877783Z","submitted_at":"2020-07-27T23:07:56Z","title":"Building Bases of Loop Integrands","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.13905","snapshot_observed_at":"2026-08-14T05:08:29.933979Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.933979Z"},"links":{"cited_paper":"/paper/2007.13905","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:97d685f246a638f9acaa51c87e34201c788cdd2cf11112a4feeeab81c909718c","observation_id":"f7c0a78f-879d-4927-a7b5-f32988f1bbf8","resolution":{"observed_at":"2026-08-14T05:08:29.933979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0712.1223","last_updated":"2009-10-28T10:22:19Z","snapshot_observed_at":"2026-07-06T01:32:49.272668Z","submitted_at":"2007-12-07T20:50:51Z","title":"Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0712.1223","snapshot_observed_at":"2026-08-14T05:08:29.982603Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.982603Z"},"links":{"cited_paper":"/paper/0712.1223","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:0b25c53f17505d88113178ef6e6b507178b6a949db95d1bbe8213eed24e52e5b","observation_id":"b4f892ec-d642-46f2-81c8-c07dd6dab875","resolution":{"observed_at":"2026-08-14T05:08:29.982603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0607160","last_updated":"2006-12-06T17:30:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2006-07-21T19:10:41Z","title":"Magic identities for conformal four-point integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0607160","snapshot_observed_at":"2026-08-14T05:08:29.988441Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.988441Z"},"links":{"cited_paper":"/paper/hep-th/0607160","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:d9daa93f1ee7e3a97b1d21cb998e7714a1b7614d1961de30fb5ebb3da5a33039","observation_id":"372c004d-e5bf-4bb3-a8df-ba196c0c26dd","resolution":{"observed_at":"2026-08-14T05:08:29.988441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9802162","last_updated":"1998-05-25T05:52:03Z","snapshot_observed_at":"2026-08-09T16:08:56.759114Z","submitted_at":"1998-02-23T21:30:29Z","title":"On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9802162","snapshot_observed_at":"2026-08-14T05:08:29.994344Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:29.994344Z"},"links":{"cited_paper":"/paper/hep-th/9802162","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:db82893142c8b0af8d87253a2a486322ba88e6e64c454b1e4a74449c8ee52f76","observation_id":"24866d69-b206-49eb-8752-58590ef9427b","resolution":{"observed_at":"2026-08-14T05:08:29.994344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0808.4112","last_updated":"2008-08-29T15:34:29Z","snapshot_observed_at":"2026-07-06T01:46:50.555400Z","submitted_at":"2008-08-29T15:34:29Z","title":"Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0808.4112","snapshot_observed_at":"2026-08-14T05:08:30.044854Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.044854Z"},"links":{"cited_paper":"/paper/0808.4112","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:24d6c0f4dc826939f93014e096e27c7d5dba5567b11c9d580972bd7539177c2a","observation_id":"16f7902f-bd7d-4b23-80e8-ccd52e70a002","resolution":{"observed_at":"2026-08-14T05:08:30.044854Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0905.2326","last_updated":"2012-01-08T13:27:40Z","snapshot_observed_at":"2026-08-13T21:08:05.341204Z","submitted_at":"2009-05-14T17:04:44Z","title":"The Ultraviolet Behavior of N=8 Supergravity at Four Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0905.2326","snapshot_observed_at":"2026-08-14T05:08:30.094034Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.094034Z"},"links":{"cited_paper":"/paper/0905.2326","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:8430ba66b1bdb061d94018627a39db1afce3783faa86658b7952d713883bf3f4","observation_id":"f78493af-a54f-431e-afbe-b3421b893b5c","resolution":{"observed_at":"2026-08-14T05:08:30.094034Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1011.2447","last_updated":"2010-11-10T18:00:11Z","snapshot_observed_at":"2026-07-06T02:19:00.350436Z","submitted_at":"2010-11-10T18:00:11Z","title":"Efficient Tree-Amplitudes in N=4: Automatic BCFW Recursion in Mathematica","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.2447","snapshot_observed_at":"2026-08-14T05:08:30.099818Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.099818Z"},"links":{"cited_paper":"/paper/1011.2447","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:7b21875bb322a001d212ec8deba531cf14b8dcabf9d7f4ce9631676bea03531a","observation_id":"130e315f-45c8-4d90-a866-25ad6b20ef57","resolution":{"observed_at":"2026-08-14T05:08:30.099818Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:30.105757Z","title":"Kawai, D","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.105757Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:d9ebb9fe402ef825a644faf70607228ece6534c8a3d36a56e0d3c310e9792b61","observation_id":"2ebdf428-787b-413b-a7b6-d9118cfe5ac6","resolution":{"observed_at":"2026-08-14T05:08:30.105757Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:30.111086Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.111086Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:2fc2cfd485b011672b62197295dcd74bd2d9bbcb5c12622314be5233f9c623eb","observation_id":"ba979e81-5092-4334-85b7-08bd4e86bdc6","resolution":{"observed_at":"2026-08-14T05:08:30.111086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9811140","last_updated":"1999-03-04T23:06:00Z","snapshot_observed_at":"2026-07-07T05:18:20.185636Z","submitted_at":"1998-11-15T06:20:22Z","title":"Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9811140","snapshot_observed_at":"2026-08-14T05:08:30.198403Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.198403Z"},"links":{"cited_paper":"/paper/hep-th/9811140","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:8600ac1afce40aa8259ba662a82b21d312f67eadcb80274a8faf8ce2264e2d6a","observation_id":"247826b6-f6e2-4d13-91af-28eb521d1953","resolution":{"observed_at":"2026-08-14T05:08:30.198403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1010.0257","last_updated":"2010-10-01T20:16:30Z","snapshot_observed_at":"2026-08-10T15:33:23.290506Z","submitted_at":"2010-10-01T20:16:30Z","title":"On-shell constructibility of tree amplitudes in general field theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1010.0257","snapshot_observed_at":"2026-08-14T05:08:30.239598Z","title":"Cohen, H","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.239598Z"},"links":{"cited_paper":"/paper/1010.0257","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:17949d312efa967681749ad6531a186fedfcd225bc4af9239ec8c8ab0a1b8d46","observation_id":"3b92bad2-904c-4a7b-8d5d-1c61f567ac5f","resolution":{"observed_at":"2026-08-14T05:08:30.239598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0801.2385","last_updated":"2008-01-16T17:12:56Z","snapshot_observed_at":"2026-08-14T20:05:06.191821Z","submitted_at":"2008-01-16T17:12:56Z","title":"On Tree Amplitudes in Gauge Theory and Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0801.2385","snapshot_observed_at":"2026-08-14T05:08:30.244671Z","title":"Arkani-Hamed and J","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.244671Z"},"links":{"cited_paper":"/paper/0801.2385","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:4a881107bd9a418763f6a05c7a6a4854b9fd6465fe1056a0afa28703754f7c5b","observation_id":"db1b7ad5-0704-4969-a403-73a6c8912b89","resolution":{"observed_at":"2026-08-14T05:08:30.244671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.5125","last_updated":"2014-08-21T19:59:03Z","snapshot_observed_at":"2026-07-06T03:52:20.144979Z","submitted_at":"2014-08-21T19:59:03Z","title":"Gravitons, Bose-symmetry, and Bonus-scaling","version":1},"cited_work":{"arxiv_id":"1408.5125","doi":null,"metadata_source":"pith","pith_arxiv_id":"1408.5125","snapshot_observed_at":"2026-08-14T05:08:31.866361Z","title":"Gravitons, Bose-symmetry, and Bonus-scaling","venue":"hep-th","work_id":"e7c4c14c-a7d2-4d04-8110-7df6cbbe67a1","year":2014},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.250492Z"},"links":{"cited_paper":"/paper/1408.5125","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:09e2f47ff54e49a295f4c8e77387eb4028b4d6ec5b2a670b838409ec78cae70b","observation_id":"38424eca-7981-440c-b49a-e210aa26253b","resolution":{"observed_at":"2026-08-14T05:08:31.884220Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0805.0757","last_updated":"2008-05-22T19:39:24Z","snapshot_observed_at":"2026-07-06T01:37:47.158733Z","submitted_at":"2008-05-06T17:18:40Z","title":"Generating Tree Amplitudes in N=4 SYM and N=8 SG","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0805.0757","snapshot_observed_at":"2026-08-14T05:08:30.256386Z","title":"Bianchi, H","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.256386Z"},"links":{"cited_paper":"/paper/0805.0757","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:3ce6c126adfffa0416c5ed1f391b74063889087f458282f7b8686053e6c8d33f","observation_id":"d13cd999-b81a-491a-8fd8-2c55865b1fc2","resolution":{"observed_at":"2026-08-14T05:08:30.256386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.05057","last_updated":"2015-11-09T18:00:19Z","snapshot_observed_at":"2026-08-09T03:03:35.790333Z","submitted_at":"2015-02-17T21:02:49Z","title":"Simple Recursion Relations for General Field Theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.05057","snapshot_observed_at":"2026-08-14T05:08:30.261703Z","title":"Cheung, C.-H","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.261703Z"},"links":{"cited_paper":"/paper/1502.05057","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:3abd526f94c7f66fa2e3ac4ff1f019072efbf4b9dca3fb8ac75d4864587f5e3a","observation_id":"ea3ad8ad-9b43-44f5-87b6-9e1d94c16f67","resolution":{"observed_at":"2026-08-14T05:08:30.261703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.06079","last_updated":"2018-10-08T20:02:43Z","snapshot_observed_at":"2026-08-14T19:03:08.034817Z","submitted_at":"2018-06-15T18:00:31Z","title":"Soft Bootstrap and Supersymmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.06079","snapshot_observed_at":"2026-08-14T05:08:30.267988Z","title":"Elvang, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.267988Z"},"links":{"cited_paper":"/paper/1806.06079","citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:998c54523a804ca772f6f59e27f7bee99c033a53b012dbac42eb3d2634c144b2","observation_id":"a5216a2a-31a1-4108-95b7-c8ec5a2664f3","resolution":{"observed_at":"2026-08-14T05:08:30.267988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:08:30.301460Z","title":"Weinberg,Infrared photons and gravitons, Phys","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet","version":4},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-14T05:08:30.301460Z"},"links":{"citing_paper":"/paper/1909.02003"},"observation_digest":"sha256:87bb82a217d83ccb24cecda0b5e1e7aab56dfe05789ab71c6c324e75bc9c810f","observation_id":"acc43870-2689-4fc8-bea9-d551928c7610","resolution":{"observed_at":"2026-08-14T05:08:30.301460Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1909.02003","last_updated":"2021-02-15T17:41:59Z","latest_version":4,"primary_category":"hep-th","snapshot_observed_at":"2026-08-14T10:24:39.428000Z","submitted_at":"2019-09-04T18:00:00Z","title":"Gravity loop integrands from the ultraviolet"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":96,"verified_exact":4,"verified_fuzzy":0},"total_outbound_references":122},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 100 of 122 outbound references and 0 inbound Pith citation observations for arXiv:1909.02003."}