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Paper Citation Record · LEDGER

Co-optimization of codon usage and mRNA secondary structure using quantum computing

As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.18817.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.18817 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:37:13.924037Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy21
  • unresolved0
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61cbe418-4e73-42d6-94e5-e943577567cd · outbound

This paper cites Tailor made: the art of therapeutic mRNA design,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Tailor made: the art of therapeutic mRNA design,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.664742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.458047Z digest=sha256:83c4076c05e3be15c28459fdc05e1b01cb4833e1ba373a74c3e1c0382821f6b7

Observation f9c01dcf-5c20-440f-a8d6-f84b2671a1cf · outbound

This paper cites 5 ′-utr g-quadruplex structures acting as translational repressors,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing 5 ′-utr g-quadruplex structures acting as translational repressors,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.552308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.469514Z digest=sha256:2911a4b2b4c77f35b88343f35c610b6ce81a9c910e0e2cf19dc4fa715d4f675b

Observation 1199227f-4492-415a-ac4a-69f49e93498e · outbound

This paper cites mrna structure regulates protein expression through changes in functional half- life,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing mrna structure regulates protein expression through changes in functional half- life,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.489626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.495017Z digest=sha256:575fdbf0ac298675bb56ebe8812ea4b22790b837293f749c85b25ed0c0891a4f

Observation ff2f9b58-a609-4284-9727-b3450f28dfde · outbound

This paper cites Rna strand: the rna secondary structure and statistical analysis database,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Rna strand: the rna secondary structure and statistical analysis database,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.471092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.514871Z digest=sha256:bf85f008326e09d4ceeee509723b966d94ef4626db285e9ee29b0c80f2c51bb7

Observation 3caeaa52-ae47-4ec1-92b5-deb88010ea84 · outbound

This paper cites Combinatorial optimization of mrna structure, stability, and translation for rna-based therapeutics,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Combinatorial optimization of mrna structure, stability, and translation for rna-based therapeutics,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.456752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.535994Z digest=sha256:f4e317e5155c6b869702442ca360facf6b759a07e718e38e0a631140713ec177

Observation 5f18ec8d-1963-4714-8844-ff597e498f19 · outbound

This paper cites Codonbert large language model for mrna vaccines,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Codonbert large language model for mrna vaccines,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.409634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.546578Z digest=sha256:08e2ef25325d71c89013301aaf5774e858480ca883f53636d9c52ffa12c56310

Observation 1220435c-ecab-4852-bf25-f53f1bc95912 · outbound

This paper cites mrnaid, an open- source platform for therapeutic mrna design and optimization strategies,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing mrnaid, an open- source platform for therapeutic mrna design and optimization strategies,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.334497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.550668Z digest=sha256:b9367e317ec000a48a9e31553e3536e80d1d7846af7f89e7f5dbb69e1da5eb84

Observation 8a2f03d9-90d2-47fc-ad22-2207ea1ca1b4 · outbound

This paper cites Theoretical basis for stabilizing messenger rna through secondary structure design,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Theoretical basis for stabilizing messenger rna through secondary structure design,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.204754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.557824Z digest=sha256:8c59b7f1ce5ef4d7d8b5eecfe78ff9430ca9d804c4cfa1a6917bfea5b85452a8

Observation 2d110362-0cd6-4cf3-ae6b-ae2ae801d8b7 · outbound

This paper cites Algorithm for optimized mrna design improves stability and immunogenicity,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Algorithm for optimized mrna design improves stability and immunogenicity,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.168974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.569445Z digest=sha256:2f24eaea27c0111bef1b5dacb17dcc041419df7cf2ea6ff52db12ac2ec894cf4

Observation bf06f027-c9b9-41b5-8051-acf949c00832 · outbound

This paper cites Derna enables pareto optimal rna design,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Derna enables pareto optimal rna design,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.136201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.594754Z digest=sha256:b5acf5741a93be3035c725f697fbe635e0a6aba46745f3911e76ed937b0efa75

Observation 3dc8ed9b-32e0-46ca-96db-ff368c92d2a2 · outbound

This paper cites mRNA Folding Algorithms for Structure and Codon Optimization.

Co-optimization of codon usage and mRNA secondary structure using quantum computing mRNA Folding Algorithms for Structure and Codon Optimization

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:37:14.800588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.625510Z digest=sha256:6deccbf629ab5b296ad680227d7b8e22b6f2a5f3f79a67ce66d99596b655bf94

Observation 9bb4787e-0229-438b-aca4-0cdbde32e50b · outbound

This paper cites A resource-efficient variational quantum algorithm for mRNA codon optimization.

Co-optimization of codon usage and mRNA secondary structure using quantum computing A resource-efficient variational quantum algorithm for mRNA codon optimization

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:37:14.365606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.664745Z digest=sha256:6e6781a01ec4fd0a69afd6bb874763478c7aaa5ff3f182a80a33d90eccf8272c

Observation b9833573-4748-42ba-99b5-509ea0175818 · outbound

This paper cites Quantum-classical hybrid approach for codon optimization and its practical applications,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Quantum-classical hybrid approach for codon optimization and its practical applications,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.127641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.714747Z digest=sha256:12196eb1404362ff2fc7730bc3da85817da2814e00d6d2e694266f617bcc4a2f

Observation 35213d30-42a7-4315-9cec-d01324eee484 · outbound

This paper cites The codon adaptation index-a measure of directional synonymous codon usage bias, and its potential applications,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing The codon adaptation index-a measure of directional synonymous codon usage bias, and its potential applications,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:17.010869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.754427Z digest=sha256:e0908fce1eea3f817de8f40c880dfdabce032bcf71da6a6a0a208cca7b7404b5

Observation b38b5f10-62c7-4548-a344-1521cc5ef6da · outbound

This paper cites Estimation of secondary structure in ribonucleic acids,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Estimation of secondary structure in ribonucleic acids,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:16.876152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.761452Z digest=sha256:2af99c669f74a663baad83f11e7e788175d3c7c5a0ad8300ce0a8ea4b2e384ff

Observation fe6b8606-17d0-4a38-9e42-d58a7ae497ed · outbound

This paper cites mRNA codon optimization with quantum computers,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing mRNA codon optimization with quantum computers,

Reference 16

Resolution
malformed identifier
no resolver link, observed 2026-08-06T14:37:13.773027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:37:13.773027Z digest=sha256:ee8b31496a66d1808ed70c0c69f6d6b4b6d2333e38691846438e00ef00db66e1

Observation 46ba3d0b-007a-46a1-a9cd-e54afc94dece · outbound

This paper cites Synonymous but not the same: the causes and consequences of codon bias,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Synonymous but not the same: the causes and consequences of codon bias,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:16.722307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.776024Z digest=sha256:99b1ef68858439a222516e2009db3b078a5c78ca17a4b7395e3375fbe8ed76b7

Observation b650e888-11b6-4e14-ba4f-b25f3869b83e · outbound

This paper cites Codon usage tabulated from the inter- national dna sequence databases: status for the year 2000,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Codon usage tabulated from the inter- national dna sequence databases: status for the year 2000,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:16.584744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.780330Z digest=sha256:8b955adac81a9d8ecba823a2af113a5506205e67d161d88060581e0309d33a31

Observation 685a493d-a649-4e95-a841-cd6def552277 · outbound

This paper cites mrna secondary structure prediction using utility-scale quantum computers,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing mrna secondary structure prediction using utility-scale quantum computers,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:16.480336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.794747Z digest=sha256:de84363a95789201fc05f4c8380da119fa73f825bd2021dc74f0498ef8cede6e

Observation 24cb2bfb-2a3f-467d-99a6-0730f61695d6 · outbound

This paper cites Gusfield, Integer Linear Programming in Computational and Systems Biology: An Entry-Level Text and Course.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Gusfield, Integer Linear Programming in Computational and Systems Biology: An Entry-Level Text and Course

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:16.175900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.844892Z digest=sha256:2de7ac6cff66a72cc14c23fd1b8ef952d30af8787ffed6435b95a284e1d296e2

Observation 168dc593-dc36-4255-9a33-838f42ae8e16 · outbound

This paper cites License information.

Co-optimization of codon usage and mRNA secondary structure using quantum computing License information

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:15.914829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.894750Z digest=sha256:798fb0e09ce153325ba83c10c7e8cb6d8b31ef1f73e39f2f51792c50e0383639

Observation 782af0d5-02d3-4a47-a730-4e419daab510 · outbound

This paper cites NNDB: the nearest neighbor parameter database for predicting stability of nucleic acid secondary structure,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing NNDB: the nearest neighbor parameter database for predicting stability of nucleic acid secondary structure,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:15.696654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.907469Z digest=sha256:5aeb253c1e6d4add563aad18ef2674012b61a22d3b50fe074854858d176a86e6

Observation af165842-e119-4c45-b2e5-a13eb9a86465 · outbound

This paper cites A simplex method for function minimiza- tion,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing A simplex method for function minimiza- tion,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:15.354747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.910804Z digest=sha256:a32b3700561d8d18af05b2387fc372a649ed972cad151b73d645d3a26b5336e4

Observation 5e0dc4cb-554b-40ad-8ce6-0c608ec99dcc · outbound

This paper cites Improving variational quantum optimization using cvar,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Improving variational quantum optimization using cvar,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:37:15.057685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:37:13.914450Z digest=sha256:da295b924085b27eaede0d040cd7ca4bdcc0ae9dd04f04bae024d0074ccf09fb

Observation 08689923-195c-4caa-bc3a-4e14c76afb41 · outbound

This paper cites Viennarna package 2.0,.

Co-optimization of codon usage and mRNA secondary structure using quantum computing Viennarna package 2.0,

Reference 25

Resolution
malformed identifier
no resolver link, observed 2026-08-06T14:37:13.924037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:37:13.924037Z digest=sha256:0279282b3abdd9545dfc2c8c3946b976e0815b52f4b18ec0c2529bf872ddb8cf

Pith citing papers

No inbound Pith citation observations are available.