Paper Citation Record · LEDGER

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem

As of 21 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2506.19944.

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

pith.paper-citation-record.v1
2506.19944 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:29:40.232797Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-25T03:55:09.865351Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T03:55:19.912240Z

Reference resolution

33 of 33 outbound references displayed

verified exact2
verified fuzzy25
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d667e87-3287-4847-a432-ee8a5cd21ba7 · outbound

This paper cites Alberty, C.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Alberty, C

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:41.020156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90a3546c-e030-4fe9-bf38-774cf03e3f01 · outbound

This paper cites Altmann, P.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Altmann, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:41.002019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 034f39ed-89d4-4ea3-85b4-1ec211b68e21 · outbound

This paper cites an unresolved cited work.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:29:40.986483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 479f1fa1-bc67-4459-8ab9-60b35ca1fc4f · outbound

This paper cites an unresolved cited work.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:29:40.969575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f3e21e26-167f-4636-8053-96c66a7e1c71 · outbound

This paper cites Bao and Y.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Bao and Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.949211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90872890-66a3-4756-847c-fcb57ddffbf6 · outbound

This paper cites Bebendorf, A note on the poincaré inequality for convex domains, Z.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Bebendorf, A note on the poincaré inequality for convex domains, Z

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.930947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09950d05-463e-41c7-a45b-6c823dc8cdf2 · outbound

This paper cites Canc \`e s, R.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Canc \`e s, R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.917104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 155d0432-8835-4075-832f-cb0e77fce1f5 · outbound

This paper cites Carstensen, A.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Carstensen, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.899797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 39f6535c-d5b6-4b24-b3dc-af44929adf73 · outbound

This paper cites Carstensen, B.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Carstensen, B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.883774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3cd1914d-57bf-4801-9977-56786b59b031 · outbound

This paper cites an unresolved cited work.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:29:40.867292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 152f5b95-4766-4230-ac2e-87d817d4f105 · outbound

This paper cites Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:29:40.378477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b981cef9-a41f-425e-b989-6464235ebd12 · outbound

This paper cites Carstensen, Q.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Carstensen, Q

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.852202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 79943f01-8b28-48b2-b755-cc24f53f0f51 · outbound

This paper cites Dalfovo, S.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Dalfovo, S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.836929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 720ae96f-c3ad-4415-baf2-5912e35069ca · outbound

This paper cites Danaila and F.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Danaila and F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.811836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d877369-479a-49bb-85dc-48215774404b · outbound

This paper cites Di Pietro and J.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Di Pietro and J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.785747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d88c041b-3114-40a4-a8b7-f71dcf51e1dd · outbound

This paper cites Modeling, Simulation and Applications, vol.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Modeling, Simulation and Applications, vol

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.762743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 949c109f-1cb7-443c-8380-ec42537bc51a · outbound

This paper cites Di Pietro and R.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Di Pietro and R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.740675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c89be329-5732-4926-8944-76d447856ec4 · outbound

This paper cites Ern and P.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Ern and P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.714851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2ea8d0f4-8a32-4ac8-9513-a07ff0a1c856 · outbound

This paper cites Fetter, Rotating trapped B ose-- E instein condensates , Rev.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Fetter, Rotating trapped B ose-- E instein condensates , Rev

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.679560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 61bccbc1-95a8-46e7-a056-908c5c1a8f13 · outbound

This paper cites Gallistl, Mixed methods and lower eigenvalue bounds, Math.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Gallistl, Mixed methods and lower eigenvalue bounds, Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.653990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c4977295-7b1d-40b0-b4d9-3d5de74bb57f · outbound

This paper cites Gallistl, M.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Gallistl, M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.623032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9cf024f6-9267-4730-95ff-e829ae5b72c0 · outbound

This paper cites Henning and E.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Henning and E

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.598771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d6bb3f7b-ab5e-433b-b963-75bc34e0edeb · outbound

This paper cites Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T18:29:40.095697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb1b49dc-7e0a-4da9-810f-55a5d4fbb9e4 · outbound

This paper cites Henning, A.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Henning, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.584364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3feb60dc-6562-4af2-ac42-8881b8c69e49 · outbound

This paper cites Henning and D.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Henning and D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.565460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7c18b007-a52a-4de6-9bd2-6a3f862785c0 · outbound

This paper cites Henning and A.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Henning and A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.548287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation faf78ac7-e2ab-4b36-9d1f-33ce46f90c3d · outbound

This paper cites an unresolved cited work.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:29:40.497750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ec7b325-0596-4144-b9fd-477e36143f20 · outbound

This paper cites Henning and J.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Henning and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.473712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dc0bb635-9fe2-473e-b3f3-f02a15026acd · outbound

This paper cites Henning and M.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Henning and M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.437907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e6a33958-07f8-46eb-8b95-48ecabdb9d02 · outbound

This paper cites A hybrid high-order method for the biharmonic problem.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem A hybrid high-order method for the biharmonic problem

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T18:29:40.188103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a7013ee-2760-47fc-915d-8326dd896f04 · outbound

This paper cites Peterseim, J.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Peterseim, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.416052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f72dee61-8c53-455a-8bcd-069eef2d7a52 · outbound

This paper cites Lower eigenvalue bounds with hybrid high-order methods.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Lower eigenvalue bounds with hybrid high-order methods

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:29:40.301459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5bf42310-92a0-4239-84c7-728c9c392b76 · outbound

This paper cites Zhou, An analysis of finite-dimensional approximations for the ground state solution of B ose-- E instein condensates , Nonlinearity 17 (2004), no.

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem Zhou, An analysis of finite-dimensional approximations for the ground state solution of B ose-- E instein condensates , Nonlinearity 17 (2004), no

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:29:40.397083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 8e91bfdd-ae69-4169-aa5e-c81d40bb66d4 · inbound

Nonconforming Finite Element Approximation and Energy Lower Bound Estimation for the Gross--Pitaevskii Energy Functional cites this paper.

Nonconforming Finite Element Approximation and Energy Lower Bound Estimation for the Gross--Pitaevskii Energy Functional A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-25T03:55:19.915193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.