Pith. sign in

Paper Citation Record · LEDGER

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2506.03078.

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

pith.paper-citation-record.v1
2506.03078 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:16:11.610351Z

measured 33 of 33 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 2026-06-28T13:33:39.215141Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:16:23.784779Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact4
  • verified fuzzy7
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8e9cb097-3876-45df-9090-669d87b28533 · outbound

This paper cites Bondi, M.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Bondi, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:16:13.815334Z

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=2026-08-07T11:16:08.423888Z digest=sha256:cf1402ef851ee2ff86340dd8967c463e7885e7cb4d53d2fc5098feddc916becb

Observation e02e7f5f-00ee-4957-9899-ff6867e5da6c · outbound

This paper cites Sachs, Gravitational waves in general relativity VIII.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Sachs, Gravitational waves in general relativity VIII

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:16:13.668757Z

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=2026-08-07T11:16:08.522618Z digest=sha256:cda6a09623c56fc803d6c072a1cabf49ca73260c797c85724cd3d86c28dddbf1

Observation c6b3b2ac-6888-4fe1-aa49-0d0aa61ef52e · outbound

This paper cites Newman and R.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Newman and R

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:08.636590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:08.636590Z digest=sha256:0363c38ad43f63ea8faf4836c55ed5c46e35bc85d935dad6280b9361c54bef71

Observation ba15f426-b770-460d-97c7-ebc63370a10b · outbound

This paper cites Penrose, Conformal treatment of infinity, in Relativ- ity, Groups, and Topology (Les Houches, France, 1964) , edited by C.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Penrose, Conformal treatment of infinity, in Relativ- ity, Groups, and Topology (Les Houches, France, 1964) , edited by C

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:16:13.554000Z

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=2026-08-07T11:16:08.740067Z digest=sha256:69ed51d7d735e4486ac65820f3b1a78d46a93af48c1917af486830fe6d76d80d

Observation 4e197fd9-c514-4d34-afbf-19688c40573b · outbound

This paper cites an unresolved cited work.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:08.836151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:08.836151Z digest=sha256:c04548a17653797e3b046de3957833b2e0ebce45a0b497aee698c7aea654b434

Observation b939c7ad-8760-44a6-8c93-c7a4023fe5f1 · outbound

This paper cites Friedrich, On the Regular and the Asymptotic Char- acteristic Initial Value Problem for Einstein’s Vacuum Field Equations, Proc.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Friedrich, On the Regular and the Asymptotic Char- acteristic Initial Value Problem for Einstein’s Vacuum Field Equations, Proc

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:16:13.399374Z

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=2026-08-07T11:16:08.934463Z digest=sha256:6a9f44fb98e6bd8b2390c702f21d0b8aaa67d1630c14002feea5f7deac2210f0

Observation 3c0f8e91-eaa6-4656-b4a8-28f34bbd73f3 · outbound

This paper cites Fully non-linear gravitational wave simulations from past to future null-infinity.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Fully non-linear gravitational wave simulations from past to future null-infinity

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:16:12.627479Z

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=2026-08-07T11:16:09.036927Z digest=sha256:b158870e954a76a7092d13c6bebf657dbfcb6cc64ca838680fa06dedef361e1c

Observation a531b3cd-0c7c-4664-8b4c-1dbf83b76f04 · outbound

This paper cites Winicour, Characteristic evolution and matching, Liv- ing Rev.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Winicour, Characteristic evolution and matching, Liv- ing Rev

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:16:13.274510Z

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=2026-08-07T11:16:09.121177Z digest=sha256:462858366eba9cf08f9c5aa338266885f41e0b9ee15bf0014c551cce21ab10cb

Observation 0155c7f7-29eb-4432-8a54-baf977b1ae45 · outbound

This paper cites Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:09.214442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:09.214442Z digest=sha256:28939063afaae7cb6ac883df113bc2ef5abbdeb2ece2f61014a595b6fb5ecf50

Observation c88f5163-ca0a-4ae5-a8db-3e38d15ff277 · outbound

This paper cites Gauge structure of the Einstein field equations in Bondi-like coordinates.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Gauge structure of the Einstein field equations in Bondi-like coordinates

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:09.344083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:09.344083Z digest=sha256:ae7236753a6eaf2bc6955b8ea39362570cab5a3fa8e5df64de76e0fcd57ef6a1

Observation 2248b014-63ed-4577-b086-b107f7b64b07 · outbound

This paper cites Numerical convergence of model Cauchy-characteristic extraction and matching.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Numerical convergence of model Cauchy-characteristic extraction and matching

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:09.452861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:09.452861Z digest=sha256:5dfdb8e5b29d8dbcf538136514ee8cb5766835eae8d9bda2feb37948ac02491c

Observation 08d353be-8378-4b9e-9940-fd995cdbf91d · outbound

This paper cites Simulations of gravitational collapse in null coordinates: III. Hyperbolicity.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Simulations of gravitational collapse in null coordinates: III. Hyperbolicity

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:16:12.398515Z

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=2026-08-07T11:16:09.528992Z digest=sha256:67a3de02300c0ff5512f28cb1c5c1de2e3a014d2128a10e7f18045a200c4d5e2

Observation 112be699-2a7a-43a3-aa59-a34f28effdda · outbound

This paper cites Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:09.693550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:09.693550Z digest=sha256:15f89e886da0d6e409548912a090eb7314747cd940c4386db5d7ed308e7c781b

Observation 6f34a414-2681-43cd-b100-3b0c5492c7be · outbound

This paper cites an unresolved cited work.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:16:13.139357Z

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=2026-08-07T11:16:09.807830Z digest=sha256:cc776e511366dd023a3efe49624aa197364eab8479b344f14ddbc0b87b7c7f67

Observation a64172c9-efcb-48f3-b615-7dc892b660b2 · outbound

This paper cites Panosso Macedo and A.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Panosso Macedo and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:16:13.030184Z

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=2026-08-07T11:16:09.939141Z digest=sha256:5063e662969525e45b32df17a9f5bf298ede43a4ee6cdb570bee10ceb8a6647b

Observation 62151b78-b3b6-4917-8530-109ca8182e3c · outbound

This paper cites Hyperboloidal evolution with the Einstein equations.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Hyperboloidal evolution with the Einstein equations

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.049145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.049145Z digest=sha256:cee49d8686dab178a0ff4c1a3112a0061d37a3e67abbd6faafffcee6241410e3

Observation feeb4ad4-1d15-4c0f-8dae-f402fb1e77c4 · outbound

This paper cites Spherical symmetry as a test case for unconstrained hyperboloidal evolution.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Spherical symmetry as a test case for unconstrained hyperboloidal evolution

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.145034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.145034Z digest=sha256:0bd7d88026daadaa7c759f69de88cf0e3b85c48994c6bfdaaff6600ff9c3414b

Observation 965f22c7-a478-4f3f-ba90-e35b7855be5d · outbound

This paper cites Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.247064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.247064Z digest=sha256:0938f7f4815595a42d274bfee6a94f58d985987f8382b8d8914fa28905853536

Observation 22e51a52-661a-4398-bd60-4974178fca25 · outbound

This paper cites The evolution of hyperboloidal data with the dual foliation formalism: Mathematical analysis and wave equation tests.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR The evolution of hyperboloidal data with the dual foliation formalism: Mathematical analysis and wave equation tests

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.325610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.325610Z digest=sha256:e5e40a18d485e962f6250fb9467407864457b7eb9d14558598bdc01fbca69ec8

Observation ab10f1f2-cb6e-4bd2-814a-f8fc1d759058 · outbound

This paper cites Regularizing Dual-Frame Generalized Harmonic Gauge at Null Infinity.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Regularizing Dual-Frame Generalized Harmonic Gauge at Null Infinity

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.438072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.438072Z digest=sha256:5951cbc939791871e7e5d2e83b9b03cc2a5180672d7b64490ed2f7a781359b2b

Observation 90221fdc-3d15-4349-9e99-f6e205a5b90e · outbound

This paper cites Constraint damping in the Z4 formulation and harmonic gauge.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Constraint damping in the Z4 formulation and harmonic gauge

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:16:12.077866Z

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=2026-08-07T11:16:10.518929Z digest=sha256:78caf323e4437a7d532cee39fca829e1df672349c564300fad5cbc2e1cd942db

Observation 4e5fb75e-47a2-477c-b04d-20eefaebc382 · outbound

This paper cites 3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR 3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.613310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.613310Z digest=sha256:f1860c497c8d81bc2857596a3c4e2298a6869fd8f42cf1e20dbd05f4d1b45364

Observation 5cebc28c-aa55-4bb7-92f5-bbcd4058b908 · outbound

This paper cites Spherical Evolution of the Generalized Harmonic Gauge Formulation of General Relativity on Compactified Hyperboloidal Slices.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Spherical Evolution of the Generalized Harmonic Gauge Formulation of General Relativity on Compactified Hyperboloidal Slices

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.697350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.697350Z digest=sha256:c6ffca4019f98145ee27f3476e2b65b887c784b6c0862bec285b0c2e56e02640

Observation 69db34ef-a027-4975-aa77-46dd6622d8d7 · outbound

This paper cites an unresolved cited work.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.796595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.796595Z digest=sha256:24a6a0c68163dbf22d6893dd0bcad78f507c9aa5cb549b2aa58b388eba713791

Observation 7c65f0bd-b9de-4404-9334-71fcc4f5b8df · outbound

This paper cites The Weak Null Condition in Free-evolution Schemes for Numerical Relativity: Dual Foliation GHG with Constraint Damping.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR The Weak Null Condition in Free-evolution Schemes for Numerical Relativity: Dual Foliation GHG with Constraint Damping

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:10.923674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:10.923674Z digest=sha256:f402d7041643e5b658c516c25a57c4fd254575f9c13390cf323e8459a658a5b9

Observation 38dfce56-0cb1-45b3-94a1-8a80b72c6ea4 · outbound

This paper cites Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:11.044393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:11.044393Z digest=sha256:d3a09e8678c639a3313d83051fb6461cd850e538a977e81b8e69ea80231e5d28

Observation a9f977ab-22d9-427f-9d84-ef56b54e3298 · outbound

This paper cites The Hyperboloidal Numerical Evolution of a Good-Bad-Ugly Wave Equation.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR The Hyperboloidal Numerical Evolution of a Good-Bad-Ugly Wave Equation

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:11.134730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:11.134730Z digest=sha256:a54bd2ed988783e85d7b0e55cc491efec0e234750254ba770083df24d88ddfe2

Observation a6436c75-46ff-4b61-bf4e-47bb4a956844 · outbound

This paper cites Summation by Parts and Truncation Error Matching on Hyperboloidal Slices.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Summation by Parts and Truncation Error Matching on Hyperboloidal Slices

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:11.205953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:11.205953Z digest=sha256:1bf8082cc95bf521fd3a17ce75a074dc1afb92117ee756018088369bc24b58aa

Observation 9117b238-f6e8-49a1-b5e9-f1c59691f048 · outbound

This paper cites an unresolved cited work.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:16:12.894730Z

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=2026-08-07T11:16:11.304289Z digest=sha256:e8fee697d9fd730b1db018cb1f0eb2b1f09cb146d11c2e57b47f0b1537456385

Observation b699e9b1-4f09-47a4-bfc8-b4d08f1bf6b8 · outbound

This paper cites Quasinormal modes of black holes and black branes.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Quasinormal modes of black holes and black branes

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T11:16:11.400552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:16:11.400552Z digest=sha256:c83891fd269b28aeded34791701aabe7a8b72bd70436f8f2f84650d4a6c9f04e

Observation 9913477b-8200-4579-a6bd-3ff7e2caee28 · outbound

This paper cites Price, Nonspherical perturbations of relativistic grav- itational collapse.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Price, Nonspherical perturbations of relativistic grav- itational collapse

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:16:12.761617Z

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=2026-08-07T11:16:11.523981Z digest=sha256:4b9f6bcb1925a0c32b7212ad14734f1589be656455a196b5aae6fa5d0d1a8440

Observation fc47ca16-abdb-4da3-920c-61d5cbdd9d0a · outbound

This paper cites an unresolved cited work.

Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR Unresolved cited work

Reference 32

Resolution
verified exact
doi, observed 2026-08-07T11:16:11.793089Z

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=2026-08-07T11:16:11.610351Z digest=sha256:398002fa3bf851da20d74ed43545e94b27b576cae877b3ee514be0f998c02dad

Pith citing papers

Observation 8e1c32a9-f44d-419b-bdb5-2307a97e3c3a · inbound

3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices cites this paper.

3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR

Reference 96

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:16:23.787695Z

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=2026-06-28T13:33:39.215141Z digest=sha256:994b584075e7af1581841aeaf1c232e8919a59b1a18053d0e3723876bc8a7dd3