Paper Citation Record · LEDGER

Applying the Triad network representation to four-dimensional ATRG method

As of 22 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2412.14104.

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

pith.paper-citation-record.v1
2412.14104 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:32:45.315157Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact2
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba0eec14-664d-40db-8f28-cae52c3780b1 · outbound

This paper cites Tensor renormalization group approach to 2D classical lattice models.

Applying the Triad network representation to four-dimensional ATRG method Tensor renormalization group approach to 2D classical lattice models

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.261618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7639af47-aba1-42b7-b6e6-cc7fbecc6469 · outbound

This paper cites Coarse-graining renormalization by higher-order singular value decomposition.

Applying the Triad network representation to four-dimensional ATRG method Coarse-graining renormalization by higher-order singular value decomposition

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.266240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 936ae92a-1b2e-4f18-bf97-2e9f5147d472 · outbound

This paper cites Phase transition of four-dimensional Ising model with higher-order tensor renormalization group.

Applying the Triad network representation to four-dimensional ATRG method Phase transition of four-dimensional Ising model with higher-order tensor renormalization group

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.270388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7910d996-4713-44ed-8a87-e88449767c14 · outbound

This paper cites Phase transition of four-dimensional Ising model with tensor network scheme.

Applying the Triad network representation to four-dimensional ATRG method Phase transition of four-dimensional Ising model with tensor network scheme

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-11T12:32:45.463998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2be2bf46-4350-480c-ae6f-5d685932a07d · outbound

This paper cites Anisotropic Tensor Renormalization Group.

Applying the Triad network representation to four-dimensional ATRG method Anisotropic Tensor Renormalization Group

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.278454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 173519ec-df6f-4813-a8ec-3392166abb2d · outbound

This paper cites Tensor renormalization group approach to four-dimensional complex $\phi^4$ theory at finite density.

Applying the Triad network representation to four-dimensional ATRG method Tensor renormalization group approach to four-dimensional complex $\phi^4$ theory at finite density

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.282400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d7330a0-384e-4f2d-b2da-86696f33cadb · outbound

This paper cites Restoration of chiral symmetry in cold and dense Nambu--Jona-Lasinio model with tensor renormalization group.

Applying the Triad network representation to four-dimensional ATRG method Restoration of chiral symmetry in cold and dense Nambu--Jona-Lasinio model with tensor renormalization group

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.286334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e2d8f96-2ce0-44dc-9b6c-97a2433c94c8 · outbound

This paper cites Critical endpoint of (3+1)-dimensional finite density $Z_3$ gauge-Higgs model with tensor renormalization group.

Applying the Triad network representation to four-dimensional ATRG method Critical endpoint of (3+1)-dimensional finite density $Z_3$ gauge-Higgs model with tensor renormalization group

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.289831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c8b3553-9c52-4578-8c80-f5efca0a681b · outbound

This paper cites Renormalization group on a triad network.

Applying the Triad network representation to four-dimensional ATRG method Renormalization group on a triad network

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.293306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f19c46c9-55bd-4f40-b966-56e2681da7b8 · outbound

This paper cites Application of the projective truncation and randomized singular value decomposition to a higher dimension.

Applying the Triad network representation to four-dimensional ATRG method Application of the projective truncation and randomized singular value decomposition to a higher dimension

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-11T12:32:45.399957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b911eff0-adff-4e57-bf72-d100c6150784 · outbound

This paper cites Randomized higher-order tensor renormalization group.

Applying the Triad network representation to four-dimensional ATRG method Randomized higher-order tensor renormalization group

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.300535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f4e8e63-b461-41a7-9363-46d1bc7b23eb · outbound

This paper cites $SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice.

Applying the Triad network representation to four-dimensional ATRG method $SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.304616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87178fff-4f11-44d8-a80f-7521d398a68b · outbound

This paper cites Boundary Tensor Renormalization Group.

Applying the Triad network representation to four-dimensional ATRG method Boundary Tensor Renormalization Group

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.308117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b769720-c825-4f96-87eb-21c8ba6f83fa · outbound

This paper cites GPU-Acceleration of Tensor Renormalization with PyTorch using CUDA.

Applying the Triad network representation to four-dimensional ATRG method GPU-Acceleration of Tensor Renormalization with PyTorch using CUDA

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.311680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b8bfe0f-1b9c-4fa6-aa4f-aec8a591fbcc · outbound

This paper cites Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order.

Applying the Triad network representation to four-dimensional ATRG method Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T12:32:45.315157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.