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Paper Citation Record · LEDGER

Constructing characteristic initial data for three dimensional compressible Euler equations

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.495186Z digest=sha256:e2313f58088aa38cb8c6f22ffd9ef0f57e7d5c3f53c11d1e1f2749d9a6baf064

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.545882Z digest=sha256:2c344bf78f8eb825d998d5b2eb275c70259efff64e8b8c1e02cb1d4398e49f4a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.665858Z digest=sha256:ffe535a5a03cdb142cdf60bfef794415f3d4bd31041124a7482ca1890db52918

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.771758Z digest=sha256:e6cb5634ac97c8ddaea07009caffefc9048e2c0c23d78d0680cc339d5ea2a7f1

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.916926Z digest=sha256:296c2d34eb542c42c97838a45e344f66c25632224ed66f77ac3510d76725fc6e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.036853Z digest=sha256:93e2d678cb67ff320062701de79f4c0425ca261d93ec52995eccbf784b194410

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.163259Z digest=sha256:6f42ecce2d03f6a47f37336921aa89009e6d62e66561f14505d1ff5cb11c7819

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.285797Z digest=sha256:b6a27e1cd1de8a822d71d8c6d101c3dad930abedeaf6a31b9f4c2cc75de818eb

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.399991Z digest=sha256:6219e941022b9627e24fd44e7fd0c3f528213da1cf119ac2d28171757e4107c1

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.513774Z digest=sha256:cbc1f1fb71ae8ab4e0d2df0f41dbca3bb4727ce3fc3818e62dafd4ca3051d7e9

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.616935Z digest=sha256:dd69f0009e5d6889c3eb4c5d857a8bdad0b2b95ef7ddd0f708901e1bce86c6d8

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.709647Z digest=sha256:747bfadc7f8b1d03c5b10d237dafd6f9d9bb4411e51b78e6639227e9486157c2

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.788910Z digest=sha256:5414bdcaa3d2c650fefa1d2bf954d951fdbe24ebcc019ac4620b3bdde2459765

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.891303Z digest=sha256:bd14d0258f03fe409c8ef57bce598281b6ed7dca524f32afa2d967d989dcad93

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.030183Z digest=sha256:3a1a0185dd84706bcbfc11b2d198a7b9a4d0f09e7c3b0b29580cd44254d31a88

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.118409Z digest=sha256:3e4765c121cfc53e236e9d551fe3d5198a971aa85e22d27bf615825b369dfced

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.230067Z digest=sha256:46c21f76b1b5569db92627675885e7a95f39c4c50efe8150ff43bfb96bc90393

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.329755Z digest=sha256:76cb1eb268c1c4d165f891efe568ed4f6d586cbc786ecf70ba1268ae90d856e4

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.414696Z digest=sha256:dfe0e0b62431e75dbe725fb67554849883803803232bc16d8b3334b220bb95c2

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.521228Z digest=sha256:3ad72da975ca64f5a9fa179d75e26ad5d94c5b272a37e1cac68fc7205563a56d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-15T11:11:47.727068Z digest=sha256:7ddbc51e9574ad0c57e0674096a1696f880f1689eca49d84224ca087dd4a5432