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Paper Citation Record · LEDGER

Applying the Triad network representation to four-dimensional ATRG method

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

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  • verified fuzzy0
  • unresolved13
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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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.261618Z digest=sha256:9b2f3b9d6d9fd318fe1b401ee90abdf46319982cfbf9db427411e07f91ef4901

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.266240Z digest=sha256:292361a9cdccff8530358a7c02553e1d7a7ddaf3fce4ccb76424e6c1201e7881

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.270388Z digest=sha256:1c342d0e9dfe64385b5b6bd98f983d6e716f9dfe63220a86074006139ff6adfa

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

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

source=pdf_text observed=2026-08-11T12:32:45.274549Z digest=sha256:d847387ff86cc51ebcf2a2ee6abdf8abb9ea43ecc6ce29f28f7ec7e7a96f40bf

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.278454Z digest=sha256:8be7246ed403f7c083af4e89378b604574829d14e6ac96a1d689d41b5f558cc2

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.282400Z digest=sha256:2ccf29848ef8f9561b39dc2c8c7c89799e5c52583f5f0353d0519d792bfa9a90

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.

source=pdf_text observed=2026-08-11T12:32:45.286334Z digest=sha256:64b89affa43a82b0adb4e9b62e9b64015119fc8a22222037ea86b6c321ef7067

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.289831Z digest=sha256:db8ecdde097057ca95247159103d3545e3f7ad6309ccfdf8d375a2d7f3463d71

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.

source=pdf_text observed=2026-08-11T12:32:45.293306Z digest=sha256:090fbdc15995070fd8fd2ab0fa3e978bb19c8a80a6d936e8de34f5b82ee87d9e

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

source=pdf_text observed=2026-08-11T12:32:45.296956Z digest=sha256:ad06b022bdcc93f74fc2826e985a042d5dcf3e6795117391418ce151eb3eda5a

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.300535Z digest=sha256:3536184802f4894ee7469a28e01e4250c1174d7624a1d3506821155b84870745

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.

source=pdf_text observed=2026-08-11T12:32:45.304616Z digest=sha256:38c80326556a711996e16c2707b1582a48a5c1b182ff487b3c876f5024e7ade1

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.

source=pdf_text observed=2026-08-11T12:32:45.308117Z digest=sha256:aab3fb904487e04f54135aa2e378c00861b8b9b33e22966ecefa3769498cae09

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:32:45.311680Z digest=sha256:44792e0f1c4ccdbcc18fbc7c5ce95a077be8e3d8e2e2a31232224c1bc06ea4e8

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.

source=pdf_text observed=2026-08-11T12:32:45.315157Z digest=sha256:3d78b371f6c32263c5b3992e82916a5a52a8076214b1d1341b2a62e0a1aff854

Pith citing papers

No inbound Pith citation observations are available.