Paper Citation Record · LEDGER

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times

As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2309.02946.

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

pith.paper-citation-record.v1
2309.02946 v5

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T06:58:28.497532Z

measured 32 of 32 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:59:06.105614Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

31 of 31 outbound references displayed

verified exact1
verified fuzzy13
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation a9fd6fa6-0062-4343-8951-6172e3d18d31 · outbound

This paper cites Alcubierre.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Alcubierre

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.243309Z

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.

Observation ef1001eb-8264-4ad6-9c1e-78d96c91e142 · outbound

This paper cites Alcubierre, G.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Alcubierre, G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.294262Z

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.

Observation a08e8961-dd17-4914-a174-30d3ca993246 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.323739Z

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.

Observation 8a5ec7cd-c09e-49e8-b084-0db462a0c51b · outbound

This paper cites Beyer, L.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Beyer, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.208182Z

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.

Observation 1448d091-3746-4183-a58e-9bb0d6eb651c · outbound

This paper cites Beyer, L.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Beyer, L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.308895Z

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.

Observation e05ada82-a4c2-4e2b-a08b-108fe176600f · outbound

This paper cites Beyer, J.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Beyer, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.286852Z

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.

Observation a1da1733-d0f2-48d9-88a9-355029500faa · outbound

This paper cites Canuto, M.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Canuto, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.342307Z

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.

Observation 06ee98bb-4e71-47fc-96b6-1576fd5965c9 · outbound

This paper cites Csuk´ as and I.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Csuk´ as and I

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.297981Z

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.

Observation 53f65a7b-57b3-49c7-a0e1-b9e24b4b5c77 · outbound

This paper cites Csuk´ as and I.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Csuk´ as and I

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.239015Z

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.

Observation 17d3c58f-5b23-42ce-8e48-6a01e709224a · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.275449Z

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.

Observation cb547030-2ef9-4b3f-90f0-4dcfced0f037 · outbound

This paper cites Dodelson and F.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Dodelson and F

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.267200Z

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.

Observation df36b40c-0707-4137-9b28-6fbc26f1d6e1 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.319732Z

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.

Observation 9fd7d9e8-a6f6-4b8e-8c4e-05198c7c06ac · outbound

This paper cites Garfinkle and L.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Garfinkle and L

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.305410Z

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.

Observation 0be64aaf-2651-4748-9b2f-7874edbf4a58 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.327635Z

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.

Observation 052439f9-0231-46ce-8358-1a7e8c322d0e · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.335034Z

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.

Observation 03658ce9-eed2-4323-b249-2d92333b6a0f · outbound

This paper cites Ma and E.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Ma and E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.312558Z

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.

Observation fc1df6b1-12dd-4097-8e99-255bee41c742 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.301617Z

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.

Observation 145e1b06-de80-4c97-90ee-2d711a6c5807 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.353163Z

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.

Observation e308be2f-9436-4abc-98a1-37d1184aea4b · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.290809Z

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.

Observation 7f46b2ad-1bad-4b5e-a904-e2568f08fe85 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.357084Z

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.

Observation 92deef3e-3921-4934-83f4-7dfc17baa73a · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.229170Z

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.

Observation 7ce5c77a-23ee-496c-a271-3613cb098144 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.345958Z

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.

Observation a1e43d75-8361-4235-90ad-c6915942ebf1 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.283018Z

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.

Observation f6a776f6-8347-43b2-b305-38fe774e4ba0 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.331194Z

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.

Observation 2b72e42a-70ec-4159-9667-ac5591fcfa9e · outbound

This paper cites Ringstr¨ om.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Ringstr¨ om

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.349357Z

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.

Observation 1d095e25-3684-48ca-a5fa-ed639f27c7df · outbound

This paper cites Stoer, R.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Stoer, R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T06:59:03.316221Z

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.

Observation 54e1b1e1-5997-4cc8-a629-1fa38056403b · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.279546Z

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.

Observation 61b30444-372e-49f7-82a3-6f6f4e9968f1 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.234559Z

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.

Observation 68a69112-fd9b-461f-a082-386a2c18b955 · outbound

This paper cites 2000 , publisher =.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times 2000 , publisher =

Reference 29

Resolution: verified exact; doi, observed 2026-05-24T06:59:02.675116Z

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.

Observation 81a005fe-89b0-4a89-9fd0-1a25caba823f · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.338905Z

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.

Observation 7300de3d-f3d4-4c00-bee7-0f120b70cf33 · outbound

This paper cites an unresolved cited work.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-24T06:59:03.271670Z

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.

Pith citing papers

Observation 9ea85527-a36d-411c-a1d0-bc53b506641b · inbound

Cosmological initial data without periodic boundary conditions cites this paper.

Cosmological initial data without periodic boundary conditions Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-01T08:04:06.714052Z

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.