{"as_of":"2026-08-13T03:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1567e792424307caa01dafe4a5a612860368abc36ce72457f3a2bafcd34a4443","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T18:50:00.480282Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T21:52:56.618955Z","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":"2026-06-29T21:53:59.056512Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"cited_work":{"arxiv_id":"2412.07578","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.07578","snapshot_observed_at":"2026-06-29T21:53:59.056512Z","title":"Chiew, B","venue":null,"work_id":"bc271904-c545-4322-9e4a-d1ce122ea496","year":2024},"citing_paper":{"arxiv_id":"2507.23679","last_updated":"2026-04-09T07:58:36Z","snapshot_observed_at":"2026-07-06T22:05:52.712231Z","submitted_at":"2025-07-31T15:56:28Z","title":"Swap Network Augmented Ans\\\"atze on Arbitrary Connectivity","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-19T02:06:40.077063Z"},"links":{"cited_paper":"/paper/2412.07578","citing_paper":"/paper/2507.23679"},"observation_digest":"sha256:9fa866fe94cbb480adcb92cd8422547c09ec29708d2cf397882e0402e9db354c","observation_id":"01e945de-a8c4-4b06-9f65-0e36a1e64344","resolution":{"observed_at":"2026-05-19T02:06:58.611283Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"cited_work":{"arxiv_id":"2412.07578","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.07578","snapshot_observed_at":"2026-06-29T21:53:59.056512Z","title":"Chiew, B","venue":null,"work_id":"bc271904-c545-4322-9e4a-d1ce122ea496","year":2024},"citing_paper":{"arxiv_id":"2605.26041","last_updated":"2026-05-25T17:07:47Z","snapshot_observed_at":"2026-07-06T23:35:55.988443Z","submitted_at":"2026-05-25T17:07:47Z","title":"Asymptotically Optimal Depth Fermionic Permutation on 2D Grid Quantum Architecture without Ancillas","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-29T21:52:56.618955Z"},"links":{"cited_paper":"/paper/2412.07578","citing_paper":"/paper/2605.26041"},"observation_digest":"sha256:133ba4c45f2c874d8a6780607fc0e27b51dbc81958577996659e197143bcf819","observation_id":"8171effd-f554-4c10-8693-cbacac54a744","resolution":{"observed_at":"2026-06-29T21:53:59.057753Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.07578/citation-record","integrity":"/paper/2412.07578/integrity","json":"/paper/2412.07578/citation-record.json","paper":"/paper/2412.07578"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.764185Z","title":"Jordan and E","venue":null,"work_id":"c42d7cfb-af07-46e3-9a9d-35933c728acf","year":1928},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.217475Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:a67f9abe8f1c6f89552bb26e80cbe53046c50f3d72954b6cef45ed6d439080d8","observation_id":"b6830c62-b850-455c-83f4-3e0b0e752f14","resolution":{"observed_at":"2026-08-11T18:50:01.776685Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.734861Z","title":"Bravyi and Alexei Yu","venue":null,"work_id":"65c9fc3b-715d-4dda-be96-bb5990b7e838","year":2002},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.226468Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:4d0a984f979f63a9735a284c79037b4dc7a3c91123ac4bf017893dc00421276d","observation_id":"a313405e-9172-4d16-9358-658ed2066b8a","resolution":{"observed_at":"2026-08-11T18:50:01.740901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.713276Z","title":"Mapping local Hamiltonians of fermions to local Hamiltonians of spins","venue":null,"work_id":"2d13aaa1-d86c-4629-ab68-bfd22765ec67","year":2005},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.232056Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:22fc0c79b9e12dcfc8b120b334ca6b2acf3541c846c4f15e3334c77376cd26fc","observation_id":"ef6456a9-9daf-48f2-b61d-ddf267185c4b","resolution":{"observed_at":"2026-08-11T18:50:01.719916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.675790Z","title":"Local spin operators for fermion simulations","venue":null,"work_id":"71f5e157-8e50-4b63-b1ea-c9f39ad6c251","year":2016},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.238930Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:924a28afa24a56ba79efd6a63cab8a89534aceb799eea631d33b20913671a439","observation_id":"de1b8978-ad28-4991-8622-ed3a95ed44c1","resolution":{"observed_at":"2026-08-11T18:50:01.690493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.643337Z","title":"Optimal fermion-to-qubit mapping via ternary trees with applications to reduced quantum states learning","venue":null,"work_id":"22b92cb8-1e55-4d00-ad18-5a8caadbf5f8","year":2020},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.244442Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:3683235c9c735f99c0cda77049d2c0c449fdfb059dffc1587cffbd5ac13620e6","observation_id":"23159ce1-4b95-480b-90ac-4b52cde4237e","resolution":{"observed_at":"2026-08-11T18:50:01.651887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.620297Z","title":"Clifford Algebras, Spin Groups and Qubit Trees","venue":null,"work_id":"60404213-b5f9-46d5-8c67-79055be7057f","year":2022},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.250082Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:cd637a2678520823c9ab482946afdb280ea0de4ef74f2a757666196d6d026c43","observation_id":"7fcfaa2d-a239-45d2-a372-9352c77534d9","resolution":{"observed_at":"2026-08-11T18:50:01.627032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.587289Z","title":"Majorana loop stabilizer codes for error mitigation in fermionic quantum simulations","venue":null,"work_id":"151b4b2d-65d6-4063-a96e-931a318c018f","year":2019},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.255479Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:f502cf237d79ed7ed34548530b6d6b5dcc39289fd050054b7a57eb58f82defff","observation_id":"51cb2350-0ea9-4f20-9cc7-bf9506cfee91","resolution":{"observed_at":"2026-08-11T18:50:01.598814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.554007Z","title":"Compact fermion to qubit mappings","venue":null,"work_id":"d5cbeffe-81db-4217-9e07-372a2dbfb112","year":2021},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.262889Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:0e1fc885dfa38000a204313b2efef7b5c95536d05a4d57f091e85c102085e924","observation_id":"703b703c-7884-48cf-ac12-26e927857cbe","resolution":{"observed_at":"2026-08-11T18:50:01.569842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.522611Z","title":"Chien and Joel Klassen","venue":null,"work_id":"58dc7995-a048-4918-a720-b938eaf89f7a","year":2022},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.269390Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:833e04bc2908b61f59d570a52fc6dd9cb0791e2cb1c27b7be4ec3e36bded700c","observation_id":"d477924d-03c1-4508-be01-7b70480d1694","resolution":{"observed_at":"2026-08-11T18:50:01.532753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.492092Z","title":"The Complexity of the Local Hamiltonian Problem","venue":null,"work_id":"40755a0a-774e-42e4-93e6-8bb62474516d","year":2006},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.276098Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:28fbf9ca8c7a999b5b8bd16bae309f2e43bb3dbf6efdd192dcfa1501f26ee1dc","observation_id":"0312cf86-4c68-48f2-829f-cab8ac24b402","resolution":{"observed_at":"2026-08-11T18:50:01.501017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.460092Z","title":"McClean, Ryan Babbush, Peter J","venue":null,"work_id":"54b41709-7629-4b5a-acc1-1450f80f8273","year":2014},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.281539Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:ef2efb976be0fa694db441892f5b3adf35cac4e9efd19378f02eeca9f86f3451","observation_id":"0a775f08-3b76-4b2b-b53b-223bf79d9b2b","resolution":{"observed_at":"2026-08-11T18:50:01.466661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.08215","last_updated":"2021-03-15T08:54:51Z","snapshot_observed_at":"2026-07-06T10:49:55.516121Z","submitted_at":"2021-03-15T08:54:51Z","title":"Electronic Structure in a Fixed Basis is QMA-complete","version":1},"cited_work":{"arxiv_id":"2103.08215","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.08215","snapshot_observed_at":"2026-08-11T18:50:00.792904Z","title":"Electronic Structure in a Fixed Basis is QMA-complete","venue":"quant-ph","work_id":"ebb79e93-ef85-4395-a06a-1c55dd0c9c81","year":2021},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.288801Z"},"links":{"cited_paper":"/paper/2103.08215","citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:d1e42fdfda43d3337d46b2041a63af13fb74d5bf0aaaa92e1dd1149254dd0385","observation_id":"09324f22-cb1b-4dd4-ba5a-4e5313e4a42b","resolution":{"observed_at":"2026-08-11T18:50:00.801460Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:50:00.300273Z","title":"Quantum measurements and the Abelian stabilizer problem","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.300273Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:eb3cce3729941a8c5b8f27e91531f5b510b0733e2a55f9389ff8a885d62b1cd7","observation_id":"50d5d7a7-4e9a-42f4-8648-0152e1f1bb83","resolution":{"observed_at":"2026-08-11T18:50:00.300273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.438991Z","title":"Dutoi, Peter J","venue":null,"work_id":"5c2937a1-b4a3-4027-b2fa-42a7ffefcde2","year":2005},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.306461Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:1272a14e739f82b266815f4b7abfd65666e858097230f09869287e3df726e026","observation_id":"a951eb47-b769-4dfa-a982-fd421000c9e8","resolution":{"observed_at":"2026-08-11T18:50:01.445309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.409885Z","title":"Quantum algorithm for obtaining the energy spectrum of molecular systems","venue":null,"work_id":"2f32904e-6514-4e18-985b-a87a381ce1e3","year":2008},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.313736Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:503a133bf3cada8894fd6c738ebb172cecd7aacb6d702b1f16afdaa41e7003de","observation_id":"036d359e-6c34-4052-af9f-ffd8c6e3f4b3","resolution":{"observed_at":"2026-08-11T18:50:01.418543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.381959Z","title":"Abrams and Seth Lloyd","venue":null,"work_id":"87762c05-ac22-46da-a8c4-d17178182ce4","year":1999},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.321952Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:3dcd5b607e7448403682f8d1d39a64df1f00a21668ba4af52ed67e3456bb6493","observation_id":"19e0c1bf-0b20-47a1-8229-396ab269d71a","resolution":{"observed_at":"2026-08-11T18:50:01.390798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.355889Z","title":"A variational eigenvalue solver on a quantum processor","venue":null,"work_id":"6c13b563-08e4-48c6-b3f6-2e028af5cf65","year":2013},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.329375Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:fb6fcdbb6f892e0a982cbec4c5921840718bfda08f482ad052d29c6655ddc3c8","observation_id":"9b97bec7-e1af-4d58-9d5a-b945d60a13a4","resolution":{"observed_at":"2026-08-11T18:50:01.363237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.310914Z","title":"The theory of variational hybrid quantum-classical algorithms","venue":null,"work_id":"65764f7c-9af7-4228-84a6-faf57d9c8b62","year":2016},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.336062Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:20ca434a77c99b56f1bee86e2e2d12039a5f0a2eca19a3a2649b92c6585a25da","observation_id":"2ebf1a84-ac58-4ab9-a34d-a9b27ed9a0f9","resolution":{"observed_at":"2026-08-11T18:50:01.319664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.289904Z","title":"Exact bosonization in two spatial dimensions and a new class of lattice gauge theories","venue":null,"work_id":"8bcb9c43-9b9d-4195-9914-0287d59a8afc","year":2018},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.347251Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:47707fc4d7d78302cc2a404098d02145f467f34b05a5c60731f506a6f051a793","observation_id":"1c7d1039-bf61-4c53-8d8a-85093c85e1b9","resolution":{"observed_at":"2026-08-11T18:50:01.296073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.261929Z","title":"Equivalence between Fermion-to-Qubit mappings in two Spatial Dimensions","venue":null,"work_id":"484f05cb-ee1d-4db5-8a80-5795c083e897","year":2023},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.353971Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:f2d64b382fb714b8055e37cfb28c971e4d166ab550379a2a40dc22fe6b97dbb2","observation_id":"0a636bfb-bcb7-46c4-9bfa-c6a646a0aa38","resolution":{"observed_at":"2026-08-11T18:50:01.269322Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.03990","last_updated":"2024-03-06T19:01:04Z","snapshot_observed_at":"2026-07-06T17:40:37.837709Z","submitted_at":"2024-03-06T19:01:04Z","title":"A Sierpinski Triangle Data Structure for Efficient Array Value Update and Prefix Sum Calculation","version":1},"cited_work":{"arxiv_id":"2403.03990","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.03990","snapshot_observed_at":"2026-08-11T18:50:00.658341Z","title":"A Sierpinski Triangle Data Structure for Efficient Array Value Update and Prefix Sum Calculation","venue":"cs.DS","work_id":"66d16287-c480-47b1-a188-1dee5569b0a7","year":2024},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.360661Z"},"links":{"cited_paper":"/paper/2403.03990","citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:8635ca738320d45e4a6808427366d6c224050c90feb78f3079a10e19c8cff15a","observation_id":"5dba438f-4cf3-4049-b1be-5a50c7387e70","resolution":{"observed_at":"2026-08-11T18:50:00.666038Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.234669Z","title":"Seeley, Martin J","venue":null,"work_id":"234daddd-bbad-4a57-9d5a-53078ed10b1d","year":2012},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.370889Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:e3374dc8ddacd0299bfb7007b8a60069fb6c007a7668af9cf87809eefc2ee894","observation_id":"9b8f5f48-3119-4fbe-ba26-9869ec91ccb2","resolution":{"observed_at":"2026-08-11T18:50:01.242315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.04151","last_updated":"2021-07-21T15:29:08Z","snapshot_observed_at":"2026-07-06T09:10:59.938311Z","submitted_at":"2020-04-08T17:59:13Z","title":"Resource-Optimized Fermionic Local-Hamiltonian Simulation on Quantum Computer for Quantum Chemistry","version":3},"cited_work":{"arxiv_id":"2004.04151","doi":null,"metadata_source":"pith","pith_arxiv_id":"2004.04151","snapshot_observed_at":"2026-08-11T18:50:00.630804Z","title":"Resource-Optimized Fermionic Local-Hamiltonian Simulation on Quantum Computer for Quantum Chemistry","venue":"quant-ph","work_id":"e64a75b0-2055-4efd-b56f-301a5b7179cd","year":2020},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.376650Z"},"links":{"cited_paper":"/paper/2004.04151","citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:b95680299a04f8e5880a9f69248b4e7b081c90254d99c7ff4f6fb72578374f85","observation_id":"afc8f530-a297-485b-a1f2-32fe4674aca0","resolution":{"observed_at":"2026-08-11T18:50:00.637930Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.199956Z","title":"Markov, and Yunseong Nam","venue":null,"work_id":"85cbbb81-be5b-4acd-b5db-c9801c707b5b","year":2023},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.382666Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:a920ae2406112bb9f76ce7d994ec8325c13cf0190d680b5cd5bc1a46169da66c","observation_id":"e67b4607-358d-4110-b1f8-f905ed760b63","resolution":{"observed_at":"2026-08-11T18:50:01.206748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.165758Z","title":"Fermion-to-qubit mappings with varying resource requirements for quantum simulation","venue":null,"work_id":"9367fe91-16cf-490a-8237-2c2cf764a74b","year":2018},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.390434Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:e8c0e29bd8243e3eef094e2d314281922f2764da5ce3a68d8a10afd38dac873f","observation_id":"011a656b-904c-4a5d-a0bd-a7df5e15ed5d","resolution":{"observed_at":"2026-08-11T18:50:01.173347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.145970Z","title":"Quantum codes for quantum simulation of fermions on a square lattice of qubits","venue":null,"work_id":"06a67772-8535-4be6-9806-e1fd49913f4c","year":2019},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.397086Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:2a91aae0fb82f7e113485d3472740d9c9ca395fb883e51d5b941e497cfc28a70","observation_id":"29e17277-aa9f-4a0b-94f7-8b63983cc909","resolution":{"observed_at":"2026-08-11T18:50:01.152480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.107686Z","title":"Bonsai Algorithm: Grow Your Own Fermion-to-Qubit Mappings","venue":null,"work_id":"6924a54b-13a4-451d-9e26-ea13a6ec1a7d","year":2023},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.403692Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:a383ec8e975fab9b5c84e8ce14304434525f34855746c5330f6dae0f56b3e53f","observation_id":"be983081-6dc2-4b9e-9126-a58e17bac2a3","resolution":{"observed_at":"2026-08-11T18:50:01.123743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.082616Z","title":"Treespilation: Architecture- and State-Optimised Fermion- to-Qubit Mappings, 2024","venue":null,"work_id":"be509f58-2153-4b21-8cb8-3e026cd13080","year":2024},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.409822Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:b2e4c12528d6e80fda8c7b812e3bbe0c30ff6035664d81972a4d5220f943fa73","observation_id":"e98f80c8-d5ea-4318-b5f8-82e6677a9f81","resolution":{"observed_at":"2026-08-11T18:50:01.089987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.07727","last_updated":"2024-04-11T13:18:35Z","snapshot_observed_at":"2026-08-13T00:32:43.177490Z","submitted_at":"2024-04-11T13:18:35Z","title":"Local Jordan-Wigner transformations on the torus","version":1},"cited_work":{"arxiv_id":"2404.07727","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.07727","snapshot_observed_at":"2026-08-11T18:50:00.599049Z","title":"Local Jordan-Wigner transformations on the torus","venue":"quant-ph","work_id":"545a703b-db41-4191-8254-1792e0d08614","year":2024},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.416583Z"},"links":{"cited_paper":"/paper/2404.07727","citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:ba642596a176092e411bb9a5e96f2b0f00320996c2b5b45be10b4084f7c001f6","observation_id":"46dc259c-77a8-4b1e-8df9-12e5045dabab","resolution":{"observed_at":"2026-08-11T18:50:00.605030Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.060307Z","title":"Williamson, Jutho Haegeman, and Frank Verstraete","venue":null,"work_id":"cd772101-7637-4548-8399-94715bdd866b","year":2017},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.423266Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:0d4a0f0a8d0ec3b32c9e9d5667b166d2709e0b08518d535dd055075d1b4edd5c","observation_id":"bc1af45d-e3c0-4a12-ae5c-1c24ec9c1f33","resolution":{"observed_at":"2026-08-11T18:50:01.066721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:01.035443Z","title":"A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation","venue":null,"work_id":"730258c3-5a38-4f9d-8dc7-6fe01be50efd","year":2024},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.430388Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:1352a29cfa91769e04d62c51804a3bdc1b8856c2119caa724b8b0fdb71604595","observation_id":"0286d477-6fb7-4723-b519-9bb9b3289a56","resolution":{"observed_at":"2026-08-11T18:50:01.045091Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:00.998728Z","title":"Gambetta, Antonio Mezzacapo, and Kristan Temme","venue":null,"work_id":"43627205-f7c2-4114-ad4c-6b2b19da3875","year":2017},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.435789Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:d88d125862787efbef492e96d8c3c1ac43eedb0de0acc7500d5ea06d1226dd7f","observation_id":"83476d6f-be3a-448a-a54e-f7ec76d4fd56","resolution":{"observed_at":"2026-08-11T18:50:01.012370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0304125","last_updated":"2003-04-18T09:21:19Z","snapshot_observed_at":"2026-08-11T03:30:47.491756Z","submitted_at":"2003-04-18T09:21:19Z","title":"The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)","version":1},"cited_work":{"arxiv_id":"quant-ph/0304125","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0304125","snapshot_observed_at":"2026-08-11T18:50:00.561959Z","title":"The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)","venue":"quant-ph","work_id":"23e42b98-2266-4c78-bbb2-ee93696a77ff","year":2003},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.441070Z"},"links":{"cited_paper":"/paper/quant-ph/0304125","citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:4274b0cca4e7de86db0e1eb90e809e61f34bd9c23a0ccb9a65dee6b5a5850279","observation_id":"445c18ee-aa04-4e94-8e70-5695ca95df5f","resolution":{"observed_at":"2026-08-11T18:50:00.574430Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:00.970133Z","title":"Symmetry-adapted encodings for qubit number reduction by point- group and other Boolean symmetries","venue":null,"work_id":"fc9c091b-9a15-4ddb-ab57-464461406e00","year":2023},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.446069Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:ece03e118e015d7e30fa11bb338a68cf6fc9110464d9ca4162eb5fff70489d2e","observation_id":"9da8196d-b5a1-4ada-82dc-aa29a73adb6b","resolution":{"observed_at":"2026-08-11T18:50:00.981470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:00.943516Z","title":"Whit- field","venue":null,"work_id":"ebcade5a-ba33-468a-ab66-de6c6a4bda55","year":2024},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.450922Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:9290bbe8549d82172a4bb71833ba8e6a4451f72ae868f7d731efde6af50abf04","observation_id":"2ddc2d9a-c5a1-4e7b-8f3e-74a632f5522e","resolution":{"observed_at":"2026-08-11T18:50:00.951392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:00.912062Z","title":"Hadamard-Free Circuits Expose the Structure of the Clifford Group","venue":null,"work_id":"33c25d39-08e6-47f9-b0d3-544db777c53c","year":2021},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.455631Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:215b56bc3bcd2e1a6808237542c3ab62e25c00b7d671d77cf947519cdec220af","observation_id":"5510f914-697f-4c47-b98b-6e200c885720","resolution":{"observed_at":"2026-08-11T18:50:00.923040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:00.885636Z","title":"Reducing the qubit requirement of Jordan-Wigner encodings of n-mode, k-fermion systems from n to ⌈log2 N K ⌉, 2023","venue":null,"work_id":"a465cfae-7745-4bdb-a74b-d59e5d165b43","year":2023},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.460897Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:d88946b207d42265283e480de86f8796bad98b29faa3653e44d3d864dd3ebb46","observation_id":"1cb4469f-81c9-4b61-82bf-200fc420d2ac","resolution":{"observed_at":"2026-08-11T18:50:00.892180Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.13247","last_updated":"2020-12-16T19:12:46Z","snapshot_observed_at":"2026-08-09T00:18:27.148179Z","submitted_at":"2020-09-24T17:32:55Z","title":"Quantum circuits of CNOT gates","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.13247","snapshot_observed_at":"2026-08-11T18:50:00.467787Z","title":"Quantum circuits of CNOT gates, December 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.467787Z"},"links":{"cited_paper":"/paper/2009.13247","citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:0bef9f3300eff78ab7d75fc4a2ac85beea4c09f69e5f2763e039b86a8c3c62ff","observation_id":"8bc51685-28bb-42b0-9d5c-8ac8e53c0845","resolution":{"observed_at":"2026-08-11T18:50:00.467787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:00.853293Z","title":"On sets of maximally commuting and anticommuting Pauli operators","venue":null,"work_id":"2588ce41-f3af-421d-8fb8-64edefb402ed","year":2021},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.474814Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:f08bc6932ec81bdbbf850d1219ab9b1a89fa4a8653b4e31a3aa5ed6595fbda70","observation_id":"325daa40-7f97-4be1-8cf6-2bf225babeaf","resolution":{"observed_at":"2026-08-11T18:50:00.864245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:50:00.826830Z","title":"classical encoding of the Fock basis m","venue":null,"work_id":"ac59237d-6900-4c77-a67f-3421c37d4650","year":2024},"citing_paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T18:50:00.480282Z"},"links":{"citing_paper":"/paper/2412.07578"},"observation_digest":"sha256:d41bee4be6053e4d2ad16d31546bca1b7e72c5c628db49f6c70f353eed6e448f","observation_id":"eda4a807-62ac-42d1-a327-1a245e914e8e","resolution":{"observed_at":"2026-08-11T18:50:00.835014Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.07578","last_updated":"2024-12-10T15:14:02Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-13T02:17:59.453598Z","submitted_at":"2024-12-10T15:14:02Z","title":"Ternary tree transformations are equivalent to linear encodings of the Fock basis"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":5,"verified_fuzzy":32},"total_outbound_references":40},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2412.07578."}