{"as_of":"2026-08-11T20:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:90921dca6c4f1f8ddd654614589898abb701bfe591c7b0bedf4a50c350139e46","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":20,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:39:27.436993Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T21:00:08.753288Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2411.07944","last_updated":"2024-11-12T17:14:02Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2024-11-12T17:14:02Z","title":"Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-23T17:48:22.572396Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2411.07944"},"observation_digest":"sha256:496acf7b7a06aacf4991c948e2855be1ffb1f1a9960664dafaaf23b5f69a610b","observation_id":"91f3021e-1e0d-4cbe-98eb-8e1bbf3eb967","resolution":{"observed_at":"2026-05-23T17:53:19.378422Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-11T11:39:27.436993Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15198","last_updated":"2025-03-10T12:35:37Z","snapshot_observed_at":"2026-08-11T17:19:27.450894Z","submitted_at":"2024-12-19T18:58:35Z","title":"On the New Factorizations of Yang-Mills Amplitudes","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T11:39:27.436993Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2412.15198"},"observation_digest":"sha256:9307ea0182b127d0b215088d3bda7996d1d5accc43ff71823c98b394c57bf496","observation_id":"df723282-e2a5-4cc5-b374-ccd9b1d357cd","resolution":{"observed_at":"2026-08-11T11:39:27.436993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-11T00:13:59.561551Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.19629","last_updated":"2024-12-27T13:15:17Z","snapshot_observed_at":"2026-08-11T03:14:29.427493Z","submitted_at":"2024-12-27T13:15:17Z","title":"On one-loop amplitudes in gauge theories","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T00:13:59.561551Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2412.19629"},"observation_digest":"sha256:d7b767f07357fb02ae073cd2db5e27b46dfb63ddd6514c9bce97642110879793","observation_id":"a7739a0d-a88a-4467-8747-b3817a4b0ef6","resolution":{"observed_at":"2026-08-11T00:13:59.561551Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2502.07173","last_updated":"2025-02-11T01:46:16Z","snapshot_observed_at":"2026-07-06T20:34:29.976207Z","submitted_at":"2025-02-11T01:46:16Z","title":"Note on hidden zeros and expansions of tree-level amplitudes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-23T04:25:41.460847Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2502.07173"},"observation_digest":"sha256:b511c79dc9505df3d65e9e1c7347c3b7326a34a417eb0d8a667e84518b08ab23","observation_id":"57c54e5c-a998-43ce-8ab5-5d00227658f8","resolution":{"observed_at":"2026-05-23T04:27:31.277839Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-08T11:15:50.126969Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.08016","last_updated":"2025-02-20T19:00:07Z","snapshot_observed_at":"2026-08-10T10:18:21.646364Z","submitted_at":"2025-02-11T23:31:39Z","title":"The CEGM NLSM","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T11:15:50.126969Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2502.08016"},"observation_digest":"sha256:1493964bca5fd7319f6259396211d79d18499f87cdcc060e6527f62f4f77d3bb","observation_id":"35fc28f4-d36a-4065-a02d-5daa14499dd3","resolution":{"observed_at":"2026-08-08T11:15:50.126969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2506.00747","last_updated":"2025-05-31T23:23:57Z","snapshot_observed_at":"2026-07-06T21:34:25.021259Z","submitted_at":"2025-05-31T23:23:57Z","title":"Soft theorems of tree-level ${\\rm Tr}(\\phi^3)$, YM and NLSM amplitudes from $2$-splits","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-19T11:45:43.424808Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2506.00747"},"observation_digest":"sha256:1c7599ff7643ac534dd9e7bacce17e9e0a6609731cd4571c04ff461274e968bd","observation_id":"73afe0c9-9eb2-4f79-aaef-b05fb647f1fb","resolution":{"observed_at":"2026-05-19T11:47:15.873854Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2508.12894","last_updated":"2025-10-29T07:08:51Z","snapshot_observed_at":"2026-08-02T19:48:17.044763Z","submitted_at":"2025-08-18T12:51:26Z","title":"A new recursion relation for tree-level NLSM amplitudes based on hidden zeros","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-18T22:37:52.217797Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2508.12894"},"observation_digest":"sha256:ad0d78fc736c21da1bcc5cd5a3e0219e7649fa45d96f8670e4abdcd4ad91db15","observation_id":"fae6d51f-b49c-434a-8de9-80c33c27363c","resolution":{"observed_at":"2026-05-18T22:41:53.536517Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2508.21345","last_updated":"2025-09-04T13:45:17Z","snapshot_observed_at":"2026-08-02T13:25:20.268324Z","submitted_at":"2025-08-29T06:05:44Z","title":"$2$-split from Feynman diagrams and Expansions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-18T21:05:15.357598Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2508.21345"},"observation_digest":"sha256:2bc0a41df782c147392491ad54cd85b7c3e3ed80dbfdf36dc05cac2baddb4f05","observation_id":"301640d9-2870-41c1-b5ca-cdf5e2f6e598","resolution":{"observed_at":"2026-05-18T21:06:50.577259Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2510.11070","last_updated":"2025-10-13T07:10:43Z","snapshot_observed_at":"2026-08-10T22:22:04.106330Z","submitted_at":"2025-10-13T07:10:43Z","title":"Hidden zeros for higher-derivative YM and GR amplitudes at tree-level","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-18T08:06:38.305253Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2510.11070"},"observation_digest":"sha256:943739723a03cc71cbd6a84f52b373a00b02084a9d8f7d1ec548269cacb1ebdd","observation_id":"fb8dd3c5-204e-4aab-b3bd-fef1538ca3a2","resolution":{"observed_at":"2026-05-18T08:11:07.021727Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-03T15:46:17.410385Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.15882","last_updated":"2026-07-18T06:03:04Z","snapshot_observed_at":"2026-08-06T18:44:56.616730Z","submitted_at":"2025-12-17T19:00:38Z","title":"On differential operators for scalar-scaffolded gluons","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T15:46:17.410385Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2512.15882"},"observation_digest":"sha256:51ebcdca6705009a039263508852e3abfd9dc5209bb57a2b55c68b8771041cc1","observation_id":"ae803620-1053-4e5e-b1a9-a64dec1b53c1","resolution":{"observed_at":"2026-08-03T15:46:17.410385Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2512.23795","last_updated":"2026-07-09T13:49:12Z","snapshot_observed_at":"2026-08-03T13:49:17.384331Z","submitted_at":"2025-12-29T19:00:01Z","title":"Correlators are simpler than wavefunctions","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-21T16:35:30.325835Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2512.23795"},"observation_digest":"sha256:c5104eb0698f2b385a3bc9290fd73b018ef8da1f17c8415baece2c2edfb6561f","observation_id":"cbbdb1a2-163e-49fc-b411-1c2fe461ad2a","resolution":{"observed_at":"2026-05-21T16:40:22.720893Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-03T13:49:18.570866Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.23795","last_updated":"2026-07-09T13:49:12Z","snapshot_observed_at":"2026-08-03T13:49:17.384331Z","submitted_at":"2025-12-29T19:00:01Z","title":"Correlators are simpler than wavefunctions","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T13:49:18.570866Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2512.23795"},"observation_digest":"sha256:30e360365a704e7486a8f7f2333e0d0b4f184edb3114c6b20f2d4fb55cf12fd6","observation_id":"4be85288-5b4a-414e-b0dc-508afd0b6ec3","resolution":{"observed_at":"2026-08-03T13:49:18.570866Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-02T19:19:33.863002Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.03393","last_updated":"2026-07-16T12:33:27Z","snapshot_observed_at":"2026-08-07T17:32:08.297684Z","submitted_at":"2026-03-03T10:36:27Z","title":"Curve integral formula for the M\\\"obius strip","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T19:19:33.863002Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2603.03393"},"observation_digest":"sha256:3719cd6211b907cf4220ffce80e5cc60bcff2b9a85536537a8d788899c667a17","observation_id":"9f8a930d-f1bf-4d95-8757-06e3b77eb187","resolution":{"observed_at":"2026-08-02T19:19:33.863002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2604.23680","last_updated":"2026-04-26T12:40:44Z","snapshot_observed_at":"2026-07-06T23:09:52.860780Z","submitted_at":"2026-04-26T12:40:44Z","title":"Universal Interpretation of Hidden Zero and $2$-Split of Tree-Level Amplitudes Using Feynman Diagrams, Part $\\mathbf{I}$: ${\\rm Tr}(\\phi^3)$, NLSM and YM","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-08T05:50:48.795816Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2604.23680"},"observation_digest":"sha256:227e320b977d9da6bdb2b9a3424a28828daa1fa882631c54104ac45255746cee","observation_id":"32d78be1-8f1a-4d6b-adec-9ccc4e8454bd","resolution":{"observed_at":"2026-05-11T21:21:11.991700Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2605.21582","last_updated":"2026-05-20T18:00:01Z","snapshot_observed_at":"2026-07-06T23:32:01.202542Z","submitted_at":"2026-05-20T18:00:01Z","title":"Multipositivity Constrains the Chiral Lagrangian","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-22T09:21:45.022552Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2605.21582"},"observation_digest":"sha256:2adaa30810310cb6f633158149ead35dffeb7c821415d2d1a433e23a42821cad","observation_id":"555aa01e-90da-4b94-b374-76e764668bc7","resolution":{"observed_at":"2026-05-22T09:24:46.245281Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2606.25878","last_updated":"2026-07-13T15:18:00Z","snapshot_observed_at":"2026-07-16T23:19:38.295631Z","submitted_at":"2026-06-24T14:22:59Z","title":"From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-25T19:21:59.510341Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2606.25878"},"observation_digest":"sha256:54643501a3b9561ce2c838b73792adafb0587f3506a555278df474ec6361eeda","observation_id":"66cb736d-ce8a-4fe3-ad63-076943073c46","resolution":{"observed_at":"2026-07-04T21:00:08.754836Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-14T17:19:00.574642Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.25878","last_updated":"2026-07-13T15:18:00Z","snapshot_observed_at":"2026-07-16T23:19:38.295631Z","submitted_at":"2026-06-24T14:22:59Z","title":"From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-14T17:19:00.574642Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2606.25878"},"observation_digest":"sha256:7486eac9503ed76e187165e59cb2f6a336764453522fd2b6a3a26143d82e72d3","observation_id":"2ffad654-25d8-4a73-ba78-993e73bf7508","resolution":{"observed_at":"2026-07-14T17:19:00.574642Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":"2401.05483","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-07-04T21:00:08.753288Z","title":"Arkani-Hamed, Q","venue":null,"work_id":"af6a1900-5615-47b4-8c82-d4161aa325d5","year":2024},"citing_paper":{"arxiv_id":"2606.28052","last_updated":"2026-06-26T12:54:29Z","snapshot_observed_at":"2026-07-07T00:02:14.441610Z","submitted_at":"2026-06-26T12:54:29Z","title":"Planar loop integrands from cuts in $D$ dimensions","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-29T03:47:21.331582Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2606.28052"},"observation_digest":"sha256:33dccbf09a27586e93089384eb969d37bac238d79ba671ade0c86411cfad32ae","observation_id":"f1102d9a-7200-42bf-b2ab-7f5a90f775d8","resolution":{"observed_at":"2026-07-01T17:25:51.148492Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-01T10:05:04.812193Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27300","last_updated":"2026-07-29T16:36:41Z","snapshot_observed_at":"2026-08-09T01:03:45.460699Z","submitted_at":"2026-07-29T16:36:41Z","title":"Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T10:05:04.812193Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2607.27300"},"observation_digest":"sha256:8a532fcaff0c71e0b24f7dadf9b6faf3727faea92843b5ff83bb486b72fe73ef","observation_id":"dda78776-a83f-4fc7-bc89-44178b571141","resolution":{"observed_at":"2026-08-01T10:05:04.812193Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05483","snapshot_observed_at":"2026-08-01T09:08:11.092233Z","title":"Arkani-Hamed, Q","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27345","last_updated":"2026-07-29T18:02:18Z","snapshot_observed_at":"2026-08-09T02:17:58.526797Z","submitted_at":"2026-07-29T18:02:18Z","title":"NLSM amplitudes from a quartic two-derivative theory","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T09:08:11.092233Z"},"links":{"cited_paper":"/paper/2401.05483","citing_paper":"/paper/2607.27345"},"observation_digest":"sha256:96c23dfcd3822314fffac852e1c276ff5505a563316e386e3df8c301b0d45369","observation_id":"518e2b04-5be7-40f3-b850-2b491cc8a7c0","resolution":{"observed_at":"2026-08-01T09:08:11.092233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2401.05483/citation-record","integrity":"/paper/2401.05483/integrity","json":"/paper/2401.05483/citation-record.json","paper":"/paper/2401.05483"},"outbound":[],"paper":{"arxiv_id":"2401.05483","last_updated":"2024-12-30T13:33:15Z","latest_version":3,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T17:13:59.073342Z","submitted_at":"2024-01-10T19:00:00Z","title":"NLSM $\\subset$ Tr$(\\phi^3)$"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 inbound Pith citation observations for arXiv:2401.05483."}