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Paper Citation Record · LEDGER

Constructing characteristic initial data for three dimensional compressible Euler equations

As of 23 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2508.15199.

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

pith.paper-citation-record.v1
2508.15199 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:06:25.521228Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T11:11:47.727068Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T11:15:30.140176Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact4
  • verified fuzzy15
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 96aa0ebf-4153-411e-ae34-f3341e7eec84 · outbound

This paper cites The emergence of the C auchy horizon from the crease in 3 D compressible E uler flow.

Constructing characteristic initial data for three dimensional compressible Euler equations The emergence of the C auchy horizon from the crease in 3 D compressible E uler flow

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:30.654839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.495186Z digest=sha256:96387b2fd55dccbf5f2ddf6c14c21dfcc7acf66fa0d7ee6652e5a06964d2c79c

Observation bbaea825-e9ec-41ec-a7aa-f85f096e2e50 · outbound

This paper cites The emergence of the singular boundary from the crease in $3D$ compressible Euler flow.

Constructing characteristic initial data for three dimensional compressible Euler equations The emergence of the singular boundary from the crease in $3D$ compressible Euler flow

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-05T18:06:26.313877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.545882Z digest=sha256:35b219f04751947412a550e11421637bd15097865dc29916c4bd78e3f72b7d1f

Observation 1f8016fc-fdde-44db-92e1-19809a9a887d · outbound

This paper cites The relativistic euler equations: Esi notes on their geo-analytic structures and implications for shocks in 1d and multi-dimensions.

Constructing characteristic initial data for three dimensional compressible Euler equations The relativistic euler equations: Esi notes on their geo-analytic structures and implications for shocks in 1d and multi-dimensions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:30.329562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.665858Z digest=sha256:c7cfd42a9bf8a2f9b1c708667eb5676e8ff6deed907f79002363785b1ebbd878

Observation 49cc0d2f-0784-4fe5-9e11-3249493371a9 · outbound

This paper cites The formation of shocks in 3-dimensional fluids.

Constructing characteristic initial data for three dimensional compressible Euler equations The formation of shocks in 3-dimensional fluids

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:29.986669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.771758Z digest=sha256:1b4b57aa1a1140103ef058f7183812f923a1e974f0f6df638934a658cc05acc6

Observation 73c97e39-a139-4f01-b588-00b594b6f9c5 · outbound

This paper cites The formation of black holes in general relativity.

Constructing characteristic initial data for three dimensional compressible Euler equations The formation of black holes in general relativity

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:29.573337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.916926Z digest=sha256:217dece01d5a0bb98734391cc0a12479998bed947ad71d320ad49dd1b2868db8

Observation c159465f-6e31-45e4-89e1-7ea29b0a9cac · outbound

This paper cites The shock development problem.

Constructing characteristic initial data for three dimensional compressible Euler equations The shock development problem

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:29.249638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.036853Z digest=sha256:1bcae851e5691b68679cfae3e74c1477a07ae4c9445db3db43bde27d7a25297e

Observation a925d534-7514-46f0-9247-73f80706eee4 · outbound

This paper cites The global nonlinear stability of the M inkowski space , volume 41 of Princeton Mathematical Series.

Constructing characteristic initial data for three dimensional compressible Euler equations The global nonlinear stability of the M inkowski space , volume 41 of Princeton Mathematical Series

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:28.960573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.163259Z digest=sha256:310c403f832192164300e41f300758ce24886f682b179485e363ec5cdf7cb091

Observation 710d3b22-df8f-4426-9d2f-d64c3569ff63 · outbound

This paper cites Compressible flow and E uler's equations , volume 9 of Surveys of Modern Mathematics.

Constructing characteristic initial data for three dimensional compressible Euler equations Compressible flow and E uler's equations , volume 9 of Surveys of Modern Mathematics

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:28.643387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.285797Z digest=sha256:8268eff524a91e63d29c6c355cf208be521dbbf622f96874bd90ec49a470e7c9

Observation ddb3f4f5-c4ad-4b13-8d2c-d5e5045d70ea · outbound

This paper cites Disconzi and Jared Speck.

Constructing characteristic initial data for three dimensional compressible Euler equations Disconzi and Jared Speck

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:28.280138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.399991Z digest=sha256:65bd979c3b2bce9b2e8831e6526a8c694a0e58acd33e7a226b7c87da71f9ed9c

Observation f1495c98-fdaf-49a0-b793-46b6365d48e0 · outbound

This paper cites Principes généraux du mouvement des fluides.

Constructing characteristic initial data for three dimensional compressible Euler equations Principes généraux du mouvement des fluides

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:27.967519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.513774Z digest=sha256:b884578c59c5a5294add3d27c9a2e26a8ce2b89908277e91f44fa55df10c5143

Observation 05bf3fb7-1af5-4c14-b4ea-46eea65901d6 · outbound

This paper cites Characteristic initial value problem for spherically symmetric barotropic flow.

Constructing characteristic initial data for three dimensional compressible Euler equations Characteristic initial value problem for spherically symmetric barotropic flow

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:27.746819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.616935Z digest=sha256:435a1d5d9c54a9512df3b46e6f3825e5c86a8a0c2c485c603419850db6c604fb

Observation f2672d31-42dc-402f-ba0b-982f00281658 · outbound

This paper cites Shock Reflection in Plane Symmetry.

Constructing characteristic initial data for three dimensional compressible Euler equations Shock Reflection in Plane Symmetry

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-05T18:06:26.094062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.709647Z digest=sha256:e63f5afff7093608dc974890c3a24d4559621b351f82602734e071455a3893c9

Observation fa791f2f-e647-48aa-aa72-44b060d88119 · outbound

This paper cites Shock Interaction in Plane Symmetry.

Constructing characteristic initial data for three dimensional compressible Euler equations Shock Interaction in Plane Symmetry

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-05T18:06:25.917464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.788910Z digest=sha256:440699d3fd3d2865295575ce7bd4c012847e6949c87ebd2b946af0b9f774ae92

Observation 08e9ad12-85bc-4685-8d3d-02f45850281c · outbound

This paper cites On the local existence for the characteristic initial value problem in general relativity.

Constructing characteristic initial data for three dimensional compressible Euler equations On the local existence for the characteristic initial value problem in general relativity

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:27.558952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.891303Z digest=sha256:47c801e7ed859c3e6270ccfddd4db9539c34279aa3fa4c06e8d494740a033554

Observation 3c80af13-0cbb-4a26-860f-de1ec214b1ca · outbound

This paper cites The hidden null structure of the compressible E uler equations and a prelude to applications.

Constructing characteristic initial data for three dimensional compressible Euler equations The hidden null structure of the compressible E uler equations and a prelude to applications

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:27.347111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.030183Z digest=sha256:6807ce0615645fb9c48817278742c76c85e3360fa3784e6ab2712d3c350c5c9c

Observation 1cbaa851-ce85-4421-8b55-5bed30145537 · outbound

This paper cites an unresolved cited work.

Constructing characteristic initial data for three dimensional compressible Euler equations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:06:27.119917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.118409Z digest=sha256:30c393fba29aead86d1161f3b6b22f193530fc3d40288ce7c74af6a64da6d333

Observation 70463b36-38da-47a8-8d62-35c590608ebd · outbound

This paper cites \"U ber die fortpflanzung ebener luftwellen von endlicher schwingungsweite.

Constructing characteristic initial data for three dimensional compressible Euler equations \"U ber die fortpflanzung ebener luftwellen von endlicher schwingungsweite

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:26.894259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.230067Z digest=sha256:40cca3045cd329f9e835338182fa3c71b3062ac9ca192fcdfda8c9cd3ca08c06

Observation f051e35f-69d3-4f9f-af11-f9b3a840a22a · outbound

This paper cites A new formulation of the 3 D compressible E uler equations with dynamic entropy: remarkable null structures and regularity properties.

Constructing characteristic initial data for three dimensional compressible Euler equations A new formulation of the 3 D compressible E uler equations with dynamic entropy: remarkable null structures and regularity properties

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:26.725147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.329755Z digest=sha256:e1729f518e7eab1b35038150955af0af924615afac6715cdee758a1455711971

Observation 429540cd-d895-4f2c-ac18-194afa393f47 · outbound

This paper cites Characteristic initial value problem for the 3 D compressible E uler equations.

Constructing characteristic initial data for three dimensional compressible Euler equations Characteristic initial value problem for the 3 D compressible E uler equations

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:06:26.519885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.414696Z digest=sha256:e62af129b0c6ce862132cdf4e12edce2828d8d61db117173281bb6da2c9baf5b

Observation 1cde3752-77ce-46ce-91d4-d00c30148aa3 · outbound

This paper cites Shock interaction in sphere symmetry.

Constructing characteristic initial data for three dimensional compressible Euler equations Shock interaction in sphere symmetry

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-05T18:06:25.728092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.521228Z digest=sha256:9f48125c33c3a8eba82ef3d94545e3ada476297a62c0a980d8777e7f3b7f7a92

Pith citing papers

Observation a9cdfd00-cdb9-4f6f-8baf-f16c60151986 · inbound

Multi-Dimensional Structural Stability of Mixed Riemann Configurations Containing Centered Rarefaction Waves and Surfaces of Discontinuities of Gas Dynamics cites this paper.

Multi-Dimensional Structural Stability of Mixed Riemann Configurations Containing Centered Rarefaction Waves and Surfaces of Discontinuities of Gas Dynamics Constructing characteristic initial data for three dimensional compressible Euler equations

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-15T11:15:30.142255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-15T11:11:47.727068Z digest=sha256:9b5360141446eb0b7bf7c41bf39498c89d71d27280dd0b1d26e317a3850a1073