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Paper Citation Record · LEDGER

Constructing characteristic initial data for three dimensional compressible Euler equations

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.495186Z digest=sha256:4bdeda88db1d6f5a1d7c264026f147e01299a6f78e3548797a06825eb9d83e31

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.545882Z digest=sha256:4ee13105bfb187ba2cd291b36cda857f13a45fbaf92ece0653d5827adf90e70e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.665858Z digest=sha256:7b89f8f0720f67cd60e42263109fad8b178435324d9545afd94218613c8d4830

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.771758Z digest=sha256:33fae28f4baf1d3001063e4122de02d5c9c7bc152cdeb9f3bde0033601174cbe

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:23.916926Z digest=sha256:e9a4aa227b16d4954673f37b6b9eb9ef9e2129a7d5d8fa4a50c9a1218fc9ac96

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.036853Z digest=sha256:f646cb19aedf36778805b6f74ee57796733f398abb63b07b90e32a6564db49a5

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.163259Z digest=sha256:3bc478d94e828cfe042d5d1b86e3daae997df8961d5ce2fad0c0980c56f0b66f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.285797Z digest=sha256:6d823efee8d822c977016ed489216104dd0e1d68a57ef6ad3cfbf950cc34a435

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.399991Z digest=sha256:834ea318a3ef676b9374a0c7c1ffaf6f6d55bb2ee7c271e17ea2c5bfe92cf065

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.513774Z digest=sha256:333f967dac6d782e3eb869e99d4a276da2d0e3bb82dd9d6cfa2d2aa083fc30c9

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.616935Z digest=sha256:bf8794a975da58d5f3cc5c8d0972d2e654cdd3ab67e367276350e128c584a63a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.709647Z digest=sha256:1af72fa9634ee1834eb14b58d5ec0bd7ca58b1caee7d0c950bf263b7bae362ac

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.788910Z digest=sha256:a482c5a5e74d76c76f34db7f2b27f505934765b826d7eccc0a71fb8f949805b5

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:24.891303Z digest=sha256:8776a9151afb903ba7e6c50305d4004f0c6cecf5c23a53c5b66aa9fc2ea7a360

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.030183Z digest=sha256:392f67556591628db4f4f23d06404073cf04d4465ebd67787ed95bdf3d30a15b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.118409Z digest=sha256:28cc483cbbc09d32bfb37a5738ea13ed4570fc68bc5f269f5ac70d14f171e2cd

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.230067Z digest=sha256:9ea005b718f9558f51f7e04ebfd1898e5db909e642b6ce73642ab36d0a5d8176

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.329755Z digest=sha256:950f38a4d827e60a7a4ffb31ab3ef1e9798db13b9c3ca42961a48afecd3a1190

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.414696Z digest=sha256:d823a012f7210a869fcc096cf40d6862cd7edbab6c87620c30ed91b00b816996

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-05T18:06:25.521228Z digest=sha256:5fae97db26ecb6f530fb0083aedadd275312f7c8669cce3bf0c70ce090a4b254

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-15T11:11:47.727068Z digest=sha256:81d798472b65a83384104af59390e04508d79b60b8f737f11c548bf35e35af93