Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T05:19:14.072342Z
Paper Citation Record · LEDGER
Sphere Packing on a Quantum Computer for Chromatography Modeling
As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2412.00601.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
33 of 33 outbound references displayed
- verified exact4
- verified fuzzy13
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 72f63e94-cf35-400f-beb3-2eab048626a5 · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.760082Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1e788f26-ac51-4ac4-8df6-73fdd2aefff1 · outbound
This paper cites His conjec- ture was finally proven, with the aid of computer proof assistants, in 2017 [10].
Sphere Packing on a Quantum Computer for Chromatography Modeling His conjec- ture was finally proven, with the aid of computer proof assistants, in 2017 [10]
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.773979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f8068d68-3a48-4a04-8c3d-9eba8b6ca347 · outbound
This paper cites As for sphere packing, in 1611 Johannes Kepler conjectured that cubic close packing and the hexagonal close packing are optimal in their density of π/(3 √.
Sphere Packing on a Quantum Computer for Chromatography Modeling As for sphere packing, in 1611 Johannes Kepler conjectured that cubic close packing and the hexagonal close packing are optimal in their density of π/(3 √
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.787268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4a661455-3253-4b21-8c22-9af3194906bf · outbound
This paper cites missing corners.
Sphere Packing on a Quantum Computer for Chromatography Modeling missing corners
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.747107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1ec5f2c2-3f39-497e-94a5-bbe9d6d3cf20 · outbound
This paper cites This leads to a packing density (fraction of the boundary circle’s area filled by packing circles) of 0 .68.
Sphere Packing on a Quantum Computer for Chromatography Modeling This leads to a packing density (fraction of the boundary circle’s area filled by packing circles) of 0 .68
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.734905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d9394f70-8184-4392-bc8e-6a3d6551c9bf · outbound
This paper cites sweet spot.
Sphere Packing on a Quantum Computer for Chromatography Modeling sweet spot
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.721924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f707ddd8-60d4-401a-b5ca-d3cc92c8a935 · outbound
This paper cites 4) into the QAOA ansatz (Eq.
Sphere Packing on a Quantum Computer for Chromatography Modeling 4) into the QAOA ansatz (Eq
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.709787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9fc7d710-3fc9-427f-b954-94f96c980583 · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.697812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8e6984d4-0242-4182-86f0-15d027e21f7c · outbound
This paper cites sweet spot.
Sphere Packing on a Quantum Computer for Chromatography Modeling sweet spot
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.685255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 792af9ee-f2bc-48b6-99c7-c9a21eb1d062 · outbound
This paper cites smaller problem instance.
Sphere Packing on a Quantum Computer for Chromatography Modeling smaller problem instance
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.672519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation de31b35b-9378-4208-9dbd-8917d36a0092 · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.658825Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bc428faa-eea5-4649-b9ee-f82ee7c4dd9b · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.645255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dad2118b-a0e8-40de-91aa-95bd38c0ad5e · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.632219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 681f2b93-083a-41a3-8bca-4bc8867ec764 · outbound
This paper cites Kumar and A.
Sphere Packing on a Quantum Computer for Chromatography Modeling Kumar and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.619170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ee25a33-b040-4513-b63d-ff8ce022c262 · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 15
- Resolution
- verified exact
- arxiv_id_nonexistent, observed 2026-08-12T05:19:14.497972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 708a8a00-a4e0-49c6-a891-85654a607cb7 · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.605901Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2c80cbff-3cf9-4ca2-a002-f046497a4979 · outbound
This paper cites Espinoza, S.
Sphere Packing on a Quantum Computer for Chromatography Modeling Espinoza, S
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.591714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 35bb323b-c60e-444e-8a71-2d821c3f7f95 · outbound
This paper cites A new lower bound for sphere packing.
Sphere Packing on a Quantum Computer for Chromatography Modeling A new lower bound for sphere packing
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.010941Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 057eb6f2-9d63-4b43-bc7c-d94e26293f6d · outbound
This paper cites A Simple Proof of Thue's Theorem on Circle Packing.
Sphere Packing on a Quantum Computer for Chromatography Modeling A Simple Proof of Thue's Theorem on Circle Packing
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.014956Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f0a17ce-31bc-42ea-a805-dabc4e47576d · outbound
This paper cites Hales, M.
Sphere Packing on a Quantum Computer for Chromatography Modeling Hales, M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.576917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 98fb3931-0fe6-42c3-a512-b2bc6a2e6978 · outbound
This paper cites Compact packings of the plane with two sizes of discs.
Sphere Packing on a Quantum Computer for Chromatography Modeling Compact packings of the plane with two sizes of discs
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T05:19:14.219560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ed003731-c0cf-489b-ba67-10ab2ce1d707 · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.563815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 31b3a811-af14-463b-9a0e-a4a387cc9a8c · outbound
This paper cites Mughal, H.
Sphere Packing on a Quantum Computer for Chromatography Modeling Mughal, H
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.031735Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0505dae7-adc2-4bd1-b77d-a173d3624fbc · outbound
This paper cites Chan, Densest columnar structures of hard spheres from sequential deposition, Physical Review E 84, 10.1103/physreve.84.050302 (2011).
Sphere Packing on a Quantum Computer for Chromatography Modeling Chan, Densest columnar structures of hard spheres from sequential deposition, Physical Review E 84, 10.1103/physreve.84.050302 (2011)
Reference 24
- Resolution
- verified exact
- doi, observed 2026-08-12T05:19:14.109047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b93b3f51-14be-4ab2-94b4-da38fa35932b · outbound
This paper cites an unresolved cited work.
Sphere Packing on a Quantum Computer for Chromatography Modeling Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:19:14.550821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dcbf2fb3-aecb-42ff-8c72-84807ce177a5 · outbound
This paper cites Jo´ os, On the packing of fourteen congruent spheres in a cube, Geom.
Sphere Packing on a Quantum Computer for Chromatography Modeling Jo´ os, On the packing of fourteen congruent spheres in a cube, Geom
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.537122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a9007057-524e-40c5-be83-699bfa4bc7d8 · outbound
This paper cites A Quantum Approximate Optimization Algorithm.
Sphere Packing on a Quantum Computer for Chromatography Modeling A Quantum Approximate Optimization Algorithm
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.047620Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e1f9fb1-882d-4fdf-90a7-552c49536741 · outbound
This paper cites Technology and Performance Benchmarks of IQM's 20-Qubit Quantum Computer.
Sphere Packing on a Quantum Computer for Chromatography Modeling Technology and Performance Benchmarks of IQM's 20-Qubit Quantum Computer
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.051991Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5ecf30d-fc8a-4373-89e3-1d18187903e6 · outbound
This paper cites Fodor, The densest packing of 12 congruent circles in a circle., Beitr¨ age zur Algebra und Geometrie 41, 401 (2000).
Sphere Packing on a Quantum Computer for Chromatography Modeling Fodor, The densest packing of 12 congruent circles in a circle., Beitr¨ age zur Algebra und Geometrie 41, 401 (2000)
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:19:14.522560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b966d012-d028-4d2d-85cc-110f62fa7225 · outbound
This paper cites Preskill, Quantum computing in the nisq era and be- yond, Quantum 2, 79 (2018).
Sphere Packing on a Quantum Computer for Chromatography Modeling Preskill, Quantum computing in the nisq era and be- yond, Quantum 2, 79 (2018)
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.060373Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf03bb79-4054-4793-b104-3b2302219a5a · outbound
This paper cites Superstaq: Deep Optimization of Quantum Programs.
Sphere Packing on a Quantum Computer for Chromatography Modeling Superstaq: Deep Optimization of Quantum Programs
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T05:19:14.170036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5f048c43-d3e9-4789-b796-7abc4d06dd22 · outbound
This paper cites The fixed angle conjecture for QAOA on regular MaxCut graphs.
Sphere Packing on a Quantum Computer for Chromatography Modeling The fixed angle conjecture for QAOA on regular MaxCut graphs
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.068280Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f562e8a-4bca-4093-b907-54d25e778c5c · outbound
This paper cites A Tutorial on Formulating and Using QUBO Models.
Sphere Packing on a Quantum Computer for Chromatography Modeling A Tutorial on Formulating and Using QUBO Models
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:19:14.072342Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.