Paper Citation Record · LEDGER

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW

As of 7 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2507.06951.

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

pith.paper-citation-record.v1
2507.06951 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:22.451186Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T18:39:22.566619Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T00:10:53.266125Z

Reference resolution

27 of 27 outbound references displayed

verified exact6
verified fuzzy6
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fcdbd868-cf76-41a6-858f-9e464ef04947 · outbound

This paper cites Rovelli, Quantum Gravity (Cambridge University Press, UK, 2004).

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Rovelli, Quantum Gravity (Cambridge University Press, UK, 2004)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:23.317876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60eaf7b3-f380-4753-87cb-933e2b9be12a · outbound

This paper cites On the geometry of loop quantum gravity on a graph.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW On the geometry of loop quantum gravity on a graph

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:23.165863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8507cb20-32f0-4dc1-ac9a-2abe029cc9df · outbound

This paper cites Rovelli and L.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Rovelli and L

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.334846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8a98538-8d12-49ec-9702-34287df945ce · outbound

This paper cites Quantum Theory of Gravity I: Area Operators.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Quantum Theory of Gravity I: Area Operators

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.339374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08d02d3c-8e70-4375-aa44-471e3dca0d78 · outbound

This paper cites Spinor Representation for Loop Quantum Gravity.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Spinor Representation for Loop Quantum Gravity

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.344520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae128514-7bbe-4219-a9c1-6017f780a976 · outbound

This paper cites Holonomy Operator and Quantization Ambiguities on Spinor Space.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Holonomy Operator and Quantization Ambiguities on Spinor Space

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.349207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76e34a1b-540d-4d00-b9fc-10d4fd385f5f · outbound

This paper cites Spinors and Twistors in Loop Gravity and Spin Foams.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Spinors and Twistors in Loop Gravity and Spin Foams

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.355815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99d66b4d-95b2-4499-8295-2baefbb0c070 · outbound

This paper cites Twisted geometries: A geometric parametrisation of SU(2) phase space.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Twisted geometries: A geometric parametrisation of SU(2) phase space

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.362250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd44094e-709d-4e56-8321-96a264267c07 · outbound

This paper cites From twistors to twisted geometries.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW From twistors to twisted geometries

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.367879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44969889-1bed-45fd-8c72-5c96a4648605 · outbound

This paper cites U(N) tools for Loop Quantum Gravity: The Return of the Spinor.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW U(N) tools for Loop Quantum Gravity: The Return of the Spinor

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.372214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c095c8f-ced7-4b63-92ef-d5873572ec12 · outbound

This paper cites Dynamics for a 2-vertex Quantum Gravity Model.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Dynamics for a 2-vertex Quantum Gravity Model

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.376596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe7b14b5-45e1-473c-8efa-397a5d5adcc2 · outbound

This paper cites Classical Setting and Effective Dynamics for Spinfoam Cosmology.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Classical Setting and Effective Dynamics for Spinfoam Cosmology

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.382226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adec9575-2940-4b5f-83a4-3a136bdcf41e · outbound

This paper cites Classical dynamics for Loop Gravity: The 2-vertex model.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Classical dynamics for Loop Gravity: The 2-vertex model

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.387107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5522657a-0671-4061-b9fb-a94b63e5e5d5 · outbound

This paper cites From loop quantum gravity to cosmology: the two-vertex model.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW From loop quantum gravity to cosmology: the two-vertex model

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.391611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c2843ab-dcdb-4086-8c57-e4d64f84fc32 · outbound

This paper cites Garay, L.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Garay, L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:23.297501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99e484f2-63f0-4ef2-a8e0-f337c3e50144 · outbound

This paper cites an unresolved cited work.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:01:23.277004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc3f6a1e-d905-47cf-8a72-fcb014f55d98 · outbound

This paper cites A Discrete and Coherent Basis of Intertwiners.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW A Discrete and Coherent Basis of Intertwiners

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.404205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a4ecab4-b779-4a47-99c0-c5efe1e24710 · outbound

This paper cites The Fine Structure of SU(2) Intertwiners from U(N) Representations.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW The Fine Structure of SU(2) Intertwiners from U(N) Representations

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:22.629331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e3a72a0-40a2-4bc8-bb72-9442153ef1a5 · outbound

This paper cites U(N) Coherent States for Loop Quantum Gravity.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW U(N) Coherent States for Loop Quantum Gravity

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:22.603061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d711640e-6a31-4b7f-8bb0-dc6c0b542796 · outbound

This paper cites Generating Functions for Coherent Intertwiners.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Generating Functions for Coherent Intertwiners

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:22.573208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a626b11-5e6f-423a-a068-043ad5dae84e · outbound

This paper cites Tisza, Applied Geometric Algebra(MIT Press, 2005).

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Tisza, Applied Geometric Algebra(MIT Press, 2005)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:23.254861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 23853272-e2b7-4999-92fb-b3c23d096d9f · outbound

This paper cites Stepping out of Homogeneity in Loop Quantum Cosmology.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Stepping out of Homogeneity in Loop Quantum Cosmology

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:22.426466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d14f0552-30b3-4b08-a066-6ec914c7d79f · outbound

This paper cites Learning about Quantum Gravity with a Couple of Nodes.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Learning about Quantum Gravity with a Couple of Nodes

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:22.525976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 289e274c-cf22-4237-9ed9-fa892ce38517 · outbound

This paper cites Probing the Shape of Quantum Surfaces: the Quadrupole Moment Operator.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Probing the Shape of Quantum Surfaces: the Quadrupole Moment Operator

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:22.502839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9f0e4db8-ee86-4b7e-8942-6110ad7e8937 · outbound

This paper cites Avalos, On the rigidity of cosmological space-times, Letters in Mathematical Physics 113, 98 (2023).

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Avalos, On the rigidity of cosmological space-times, Letters in Mathematical Physics 113, 98 (2023)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:23.231508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ff30ecc3-dd2a-4240-b7b8-758346405b5e · outbound

This paper cites Mars and R.

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Mars and R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:23.210236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9359d4af-3539-4f09-813d-b80451013a7f · outbound

This paper cites Krasi´ nski, Inhomogeneous Cosmological Models (Cambridge University Press, 1997).

Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Krasi´ nski, Inhomogeneous Cosmological Models (Cambridge University Press, 1997)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:23.190440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 20350eff-b80e-4acf-a4b8-9f0508c94bc3 · inbound

Area bounds and gauge fixing: alternative canonical variables for loop gravity cites this paper.

Area bounds and gauge fixing: alternative canonical variables for loop gravity Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:10:53.268217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.